1 00:00:05,030 --> 00:00:01,910 this is an episode that's been almost 2 00:00:07,590 --> 00:00:05,040 one year in the making the theo locution 3 00:00:09,669 --> 00:00:07,600 of donald hoffman and yoshibok both of 4 00:00:11,509 --> 00:00:09,679 whom should be extremely familiar to you 5 00:00:13,749 --> 00:00:11,519 if you've surveyed this channel before 6 00:00:15,669 --> 00:00:13,759 as we've done an unduly technical dive 7 00:00:17,510 --> 00:00:15,679 into donald hoffman's research papers 8 00:00:19,189 --> 00:00:17,520 and we've spoken to yoshibach several 9 00:00:21,670 --> 00:00:19,199 times before as well if you're 10 00:00:23,910 --> 00:00:21,680 unfamiliar donald hoffman is a professor 11 00:00:25,830 --> 00:00:23,920 at the university of irvine california 12 00:00:28,150 --> 00:00:25,840 studying consciousness and evolutionary 13 00:00:30,470 --> 00:00:28,160 psychology using mathematical models and 14 00:00:32,709 --> 00:00:30,480 yoshibak is a cognitive scientist 15 00:00:34,870 --> 00:00:32,719 recognized in the field of ai as being 16 00:00:37,110 --> 00:00:34,880 exceptionally ingenious both have 17 00:00:39,430 --> 00:00:37,120 unexampled views of consciousness and 18 00:00:41,590 --> 00:00:39,440 free will which harmonize and contradict 19 00:00:42,630 --> 00:00:41,600 in pre-possessing and informative ways 20 00:00:44,150 --> 00:00:42,640 click on the timestamp in the 21 00:00:46,630 --> 00:00:44,160 description if you'd like to skip this 22 00:00:48,950 --> 00:00:46,640 intro my name is kirchey mungle i'm a 23 00:00:51,430 --> 00:00:48,960 torontonian filmmaker with a background 24 00:00:53,910 --> 00:00:51,440 in mathematical physics dedicated to the 25 00:00:55,670 --> 00:00:53,920 explication of the variegated terrain of 26 00:00:57,590 --> 00:00:55,680 theories of everything from a 27 00:00:59,590 --> 00:00:57,600 theoretical physics perspective but as 28 00:01:01,349 --> 00:00:59,600 well as analyzing consciousness and 29 00:01:03,510 --> 00:01:01,359 seeing its potential connection to 30 00:01:05,429 --> 00:01:03,520 fundamental reality whatever that is 31 00:01:07,990 --> 00:01:05,439 essentially this channel is dedicated to 32 00:01:10,070 --> 00:01:08,000 exploring the under nature of reality 33 00:01:11,670 --> 00:01:10,080 the constitutional laws that govern it 34 00:01:14,070 --> 00:01:11,680 provided those laws exist at all and are 35 00:01:15,990 --> 00:01:14,080 even noble to us if you enjoy witnessing 36 00:01:18,710 --> 00:01:16,000 and engaging with others on the topics 37 00:01:20,950 --> 00:01:18,720 of psychology consciousness physics etc 38 00:01:22,630 --> 00:01:20,960 the channel's themes then do consider 39 00:01:24,469 --> 00:01:22,640 going to the discord and the subreddit 40 00:01:26,310 --> 00:01:24,479 which are linked in the description 41 00:01:27,990 --> 00:01:26,320 there's also a link to the patreon that 42 00:01:29,749 --> 00:01:28,000 is patreon.com 43 00:01:31,830 --> 00:01:29,759 kerchamungle if you'd like to support 44 00:01:33,670 --> 00:01:31,840 this podcast as the patrons and the 45 00:01:36,149 --> 00:01:33,680 sponsors are the only reasons that i'm 46 00:01:38,069 --> 00:01:36,159 able to have podcasts of this quality 47 00:01:40,310 --> 00:01:38,079 and this depth given that i can do this 48 00:01:42,069 --> 00:01:40,320 now full time thanks to both the patrons 49 00:01:44,389 --> 00:01:42,079 and the sponsors support speaking of 50 00:01:46,389 --> 00:01:44,399 sponsors there are two the first sponsor 51 00:01:47,749 --> 00:01:46,399 is brilliant during the winter break i 52 00:01:49,590 --> 00:01:47,759 decided to brush up on some of the 53 00:01:51,749 --> 00:01:49,600 fundamentals of physics particularly 54 00:01:53,670 --> 00:01:51,759 with regard to information theory as i'd 55 00:01:55,350 --> 00:01:53,680 like to interview chiara marletto on 56 00:01:56,950 --> 00:01:55,360 constructor theory which is heavily 57 00:01:58,630 --> 00:01:56,960 based in information theory now 58 00:01:59,990 --> 00:01:58,640 information theory is predicated on 59 00:02:02,389 --> 00:02:00,000 entropy at least there's a fundamental 60 00:02:04,149 --> 00:02:02,399 formula for entropy so i ended up taking 61 00:02:06,230 --> 00:02:04,159 the brilliant course i challenged myself 62 00:02:08,229 --> 00:02:06,240 to do one lesson per day and i took the 63 00:02:09,350 --> 00:02:08,239 course's random variable distributions 64 00:02:11,670 --> 00:02:09,360 and knowledge 65 00:02:13,350 --> 00:02:11,680 uncertainty what i loved is that despite 66 00:02:14,949 --> 00:02:13,360 knowing the formula for entropy which is 67 00:02:16,869 --> 00:02:14,959 essentially hammered into you as an 68 00:02:19,190 --> 00:02:16,879 undergraduate it seems like it comes 69 00:02:20,949 --> 00:02:19,200 down from the sky arbitrarily and with 70 00:02:22,710 --> 00:02:20,959 brilliance for the first time i was able 71 00:02:24,229 --> 00:02:22,720 to see how the formula for entropy which 72 00:02:26,390 --> 00:02:24,239 you're seeing right now is actually 73 00:02:28,150 --> 00:02:26,400 extremely natural and it'd be strange to 74 00:02:30,070 --> 00:02:28,160 define it in any other manner there are 75 00:02:31,589 --> 00:02:30,080 plenty of courses and you can even learn 76 00:02:32,710 --> 00:02:31,599 group theory which is what's being 77 00:02:35,030 --> 00:02:32,720 referenced when you hear that the 78 00:02:37,270 --> 00:02:35,040 standard model is predicated on u1 cross 79 00:02:38,630 --> 00:02:37,280 su 2 cross su 3 those are league groups 80 00:02:40,150 --> 00:02:38,640 continuous lead groups visit 81 00:02:42,790 --> 00:02:40,160 brilliant.org 82 00:02:44,470 --> 00:02:42,800 tow t-o-e to get 20 off an annual 83 00:02:46,630 --> 00:02:44,480 subscription and i recommend that you 84 00:02:48,390 --> 00:02:46,640 don't stop before four lessons i think 85 00:02:50,229 --> 00:02:48,400 you'll be greatly surprised at the ease 86 00:02:52,070 --> 00:02:50,239 at which you can now comprehend subjects 87 00:02:54,790 --> 00:02:52,080 you previously had a difficult time 88 00:02:56,869 --> 00:02:54,800 grocking the second sponsor is algo now 89 00:02:58,869 --> 00:02:56,879 algo is an end-to-end supply chain 90 00:03:00,949 --> 00:02:58,879 optimization software company with 91 00:03:02,949 --> 00:03:00,959 software that helps business users 92 00:03:05,190 --> 00:03:02,959 optimize sales and operations planning 93 00:03:07,110 --> 00:03:05,200 to avoid stockouts reduce return and 94 00:03:09,430 --> 00:03:07,120 inventory write-downs while reducing 95 00:03:12,630 --> 00:03:09,440 inventory investment it's a supply chain 96 00:03:14,710 --> 00:03:12,640 ai that drives smart roi headed by amjad 97 00:03:17,110 --> 00:03:14,720 hussein who's been a huge supporter of 98 00:03:20,149 --> 00:03:17,120 this podcast since near its inception in 99 00:03:21,990 --> 00:03:20,159 fact amjad has his own podcast on ai and 100 00:03:23,910 --> 00:03:22,000 consciousness and business growth and if 101 00:03:25,830 --> 00:03:23,920 you'd like to support the tow podcast 102 00:03:27,509 --> 00:03:25,840 then visit the link in the description 103 00:03:29,589 --> 00:03:27,519 to see amjad's podcast because 104 00:03:31,990 --> 00:03:29,599 subscribing to him or at least visiting 105 00:03:33,670 --> 00:03:32,000 supports the toe podcast indirectly 106 00:03:36,550 --> 00:03:33,680 thank you and enjoy 107 00:03:39,750 --> 00:03:36,560 okay this should be live if you can see 108 00:03:41,670 --> 00:03:39,760 this type in animaniacs into the chat 109 00:03:44,949 --> 00:03:41,680 animaniacs 110 00:03:46,869 --> 00:03:44,959 great there are already 275 people 111 00:03:50,550 --> 00:03:46,879 watching firstly it's a distinct honor 112 00:03:51,910 --> 00:03:50,560 to be here thank you both don and yosha 113 00:03:54,149 --> 00:03:51,920 i appreciate it tremendously in the 114 00:03:55,110 --> 00:03:54,159 audience does as well this theories of 115 00:03:57,830 --> 00:03:55,120 everything 116 00:03:59,910 --> 00:03:57,840 project is about exploring grand unified 117 00:04:01,509 --> 00:03:59,920 theories in theoretical physics as you 118 00:04:03,429 --> 00:04:01,519 know and understanding consciousness and 119 00:04:05,750 --> 00:04:03,439 free will i see those are at least 120 00:04:07,350 --> 00:04:05,760 intuit that those are integrally tied 121 00:04:09,270 --> 00:04:07,360 and it's those 122 00:04:10,070 --> 00:04:09,280 the latter two topics that bring us here 123 00:04:13,670 --> 00:04:10,080 don 124 00:04:15,589 --> 00:04:13,680 of free will as well as how you view 125 00:04:17,909 --> 00:04:15,599 consciousness and you mentioned that you 126 00:04:20,069 --> 00:04:17,919 would like to give an overview of your 127 00:04:21,590 --> 00:04:20,079 point of view on science and theories of 128 00:04:23,350 --> 00:04:21,600 everything in general 129 00:04:26,230 --> 00:04:23,360 and then yosha 130 00:04:28,310 --> 00:04:26,240 you'll join afterward and commend 131 00:04:29,909 --> 00:04:28,320 donald or amend him and then i'll pretty 132 00:04:31,909 --> 00:04:29,919 much shut my mouth and allow you both to 133 00:04:33,830 --> 00:04:31,919 speak to one another interjecting only 134 00:04:36,230 --> 00:04:33,840 seldom 135 00:04:37,990 --> 00:04:36,240 okay thank you kurt and good to see you 136 00:04:40,629 --> 00:04:38,000 yosha um 137 00:04:42,230 --> 00:04:40,639 my my attitude about science 138 00:04:43,909 --> 00:04:42,240 is 139 00:04:45,670 --> 00:04:43,919 sort of like what 140 00:04:47,590 --> 00:04:45,680 newton famously said 141 00:04:49,670 --> 00:04:47,600 right he said that toward the end of his 142 00:04:51,270 --> 00:04:49,680 career that he thought of himself as 143 00:04:52,790 --> 00:04:51,280 like 144 00:04:54,469 --> 00:04:52,800 a little boy 145 00:04:56,950 --> 00:04:54,479 playing on the on the seashore looking 146 00:04:59,110 --> 00:04:56,960 at uh some nice 147 00:05:01,350 --> 00:04:59,120 pebbles and shells while 148 00:05:03,909 --> 00:05:01,360 all before him lay the um 149 00:05:05,350 --> 00:05:03,919 the vast ocean of of truth that was 150 00:05:07,110 --> 00:05:05,360 undiscovered 151 00:05:11,590 --> 00:05:07,120 and 152 00:05:13,590 --> 00:05:11,600 good attitude for us as scientists to 153 00:05:15,350 --> 00:05:13,600 have is that 154 00:05:16,950 --> 00:05:15,360 as much as we've done 155 00:05:20,550 --> 00:05:16,960 um 156 00:05:23,350 --> 00:05:20,560 we've really not even begun to explore 157 00:05:25,670 --> 00:05:23,360 the possibilities of truth and what's 158 00:05:27,270 --> 00:05:25,680 interesting is that newton's followers 159 00:05:28,790 --> 00:05:27,280 uh famously 160 00:05:30,390 --> 00:05:28,800 didn't 161 00:05:31,510 --> 00:05:30,400 follow him on that 162 00:05:33,909 --> 00:05:31,520 in the late 163 00:05:35,510 --> 00:05:33,919 19th century a lot of newtonians thought 164 00:05:36,950 --> 00:05:35,520 that it was pretty much over they had a 165 00:05:39,350 --> 00:05:36,960 theory of everything 166 00:05:41,830 --> 00:05:39,360 there were a few little wrinkles 167 00:05:43,110 --> 00:05:41,840 you know there was the you know 168 00:05:44,710 --> 00:05:43,120 problem with michaelson morally 169 00:05:46,469 --> 00:05:44,720 experiment and 170 00:05:47,590 --> 00:05:46,479 and black body radiation wasn't quite 171 00:05:48,790 --> 00:05:47,600 working out 172 00:05:50,230 --> 00:05:48,800 according to newton but they thought 173 00:05:52,070 --> 00:05:50,240 that that was pretty minor stuff and 174 00:05:54,230 --> 00:05:52,080 they would figure that all out and 175 00:05:56,710 --> 00:05:54,240 physics was pretty much done 176 00:05:58,309 --> 00:05:56,720 and and we've discovered that no physics 177 00:06:00,550 --> 00:05:58,319 would was hardly 178 00:06:05,510 --> 00:06:00,560 beginning there was so much more to 179 00:06:09,350 --> 00:06:06,469 science 180 00:06:11,430 --> 00:06:09,360 cannot have a theory of everything 181 00:06:13,510 --> 00:06:11,440 in principle 182 00:06:15,350 --> 00:06:13,520 that we will always be on newton's 183 00:06:17,909 --> 00:06:15,360 seashore we'll always be 184 00:06:19,350 --> 00:06:17,919 like newton the the little boy playing 185 00:06:22,870 --> 00:06:19,360 with pebbles and 186 00:06:24,710 --> 00:06:22,880 and shells while the vast uh truth lays 187 00:06:26,950 --> 00:06:24,720 undiscovered before us the ocean of 188 00:06:28,070 --> 00:06:26,960 truth and and it's for a principled 189 00:06:28,870 --> 00:06:28,080 reason 190 00:06:30,550 --> 00:06:28,880 that 191 00:06:32,230 --> 00:06:30,560 scientific theories 192 00:06:34,550 --> 00:06:32,240 if you look at how 193 00:06:36,230 --> 00:06:34,560 they're structured we start with 194 00:06:38,150 --> 00:06:36,240 a good scientific theory tells you 195 00:06:39,909 --> 00:06:38,160 exactly what its assumptions are this is 196 00:06:41,990 --> 00:06:39,919 what i'm assuming 197 00:06:42,870 --> 00:06:42,000 these are the derivation rules that i 198 00:06:44,790 --> 00:06:42,880 allow 199 00:06:47,830 --> 00:06:44,800 and then everything about the theory 200 00:06:49,670 --> 00:06:47,840 follows from that but that that theory 201 00:06:51,749 --> 00:06:49,680 doesn't explain its assumptions the 202 00:06:53,990 --> 00:06:51,759 assumptions are what's 203 00:06:56,469 --> 00:06:54,000 assumed so einstein in this special 204 00:06:57,670 --> 00:06:56,479 theory of relativity assumes you know 205 00:06:59,990 --> 00:06:57,680 that light 206 00:07:01,670 --> 00:07:00,000 uh travels at the same speed for for all 207 00:07:02,790 --> 00:07:01,680 observers in all inertial reference 208 00:07:03,670 --> 00:07:02,800 frames 209 00:07:05,029 --> 00:07:03,680 but 210 00:07:06,070 --> 00:07:05,039 that theory doesn't tell you what light 211 00:07:12,550 --> 00:07:06,080 is 212 00:07:14,950 --> 00:07:12,560 whole life studying it and i still have 213 00:07:16,790 --> 00:07:14,960 no idea what what light really is 214 00:07:19,110 --> 00:07:16,800 and and so 215 00:07:19,909 --> 00:07:19,120 we're in that situation as scientists 216 00:07:22,390 --> 00:07:19,919 where 217 00:07:23,830 --> 00:07:22,400 um what we're doing is valuable it's 218 00:07:26,230 --> 00:07:23,840 it's absolutely essential because we're 219 00:07:27,589 --> 00:07:26,240 being precise about our assumptions 220 00:07:28,870 --> 00:07:27,599 we're being precise about what they 221 00:07:30,950 --> 00:07:28,880 entail 222 00:07:32,469 --> 00:07:30,960 but there's going to be a fundamental 223 00:07:35,670 --> 00:07:32,479 limit and and 224 00:07:37,909 --> 00:07:35,680 my guess is that science 225 00:07:38,629 --> 00:07:37,919 um as valuable as it is is one of the 226 00:07:40,550 --> 00:07:38,639 most 227 00:07:41,350 --> 00:07:40,560 important advances that humanity has 228 00:07:44,390 --> 00:07:41,360 made 229 00:07:46,309 --> 00:07:44,400 um will always and only scratch the 230 00:07:49,029 --> 00:07:46,319 surface beyond the seashore with with 231 00:07:51,749 --> 00:07:49,039 newton while the vast ocean um lays 232 00:07:53,430 --> 00:07:51,759 undiscovered and um so that that's sort 233 00:07:56,070 --> 00:07:53,440 of when so when we talk about theories 234 00:07:59,029 --> 00:07:56,080 of consciousness and free will and so 235 00:08:01,350 --> 00:07:59,039 forth going forward 236 00:08:03,909 --> 00:08:01,360 i do it with sort of a very modest look 237 00:08:05,589 --> 00:08:03,919 at my own ideas the the ideas are going 238 00:08:06,550 --> 00:08:05,599 to be very much 239 00:08:08,469 --> 00:08:06,560 in 240 00:08:10,390 --> 00:08:08,479 the framework of these are the best 241 00:08:11,749 --> 00:08:10,400 ideas we've come up with so far 242 00:08:13,670 --> 00:08:11,759 of course 243 00:08:16,390 --> 00:08:13,680 there's going to be much much deeper 244 00:08:19,110 --> 00:08:16,400 work ahead um and much more to to 245 00:08:20,790 --> 00:08:19,120 discover ahead so we just have to 246 00:08:22,790 --> 00:08:20,800 as scientists be precise about the 247 00:08:24,469 --> 00:08:22,800 current assumptions we're making and why 248 00:08:27,430 --> 00:08:24,479 we're making them and what what follows 249 00:08:28,790 --> 00:08:27,440 from them but be completely open to 250 00:08:33,190 --> 00:08:28,800 radical 251 00:08:36,550 --> 00:08:33,200 new understandings 252 00:08:37,509 --> 00:08:36,560 your view on consciousness and free will 253 00:08:38,949 --> 00:08:37,519 so 254 00:08:40,630 --> 00:08:38,959 um 255 00:08:43,670 --> 00:08:40,640 in in a nutshell 256 00:08:44,949 --> 00:08:43,680 um my views on consciousness 257 00:08:50,310 --> 00:08:44,959 are 258 00:08:55,829 --> 00:08:53,350 so physicalist approaches we'll say that 259 00:08:57,829 --> 00:08:55,839 we will start with space-time 260 00:09:00,870 --> 00:08:57,839 and and some of its contents 261 00:09:02,470 --> 00:09:00,880 particles neurons neural systems neural 262 00:09:03,509 --> 00:09:02,480 networks that 263 00:09:04,470 --> 00:09:03,519 um 264 00:09:06,389 --> 00:09:04,480 and 265 00:09:08,230 --> 00:09:06,399 those will be so that's a scientific 266 00:09:09,590 --> 00:09:08,240 theory which those are our assumptions 267 00:09:11,110 --> 00:09:09,600 space time and its contents are 268 00:09:13,269 --> 00:09:11,120 fundamental 269 00:09:16,150 --> 00:09:13,279 and particular contents may be very very 270 00:09:17,190 --> 00:09:16,160 important for example dynamical systems 271 00:09:20,230 --> 00:09:17,200 of 272 00:09:21,990 --> 00:09:20,240 on neural networks for example 273 00:09:23,509 --> 00:09:22,000 and from that we're going to try to to 274 00:09:25,750 --> 00:09:23,519 boot up um 275 00:09:28,630 --> 00:09:25,760 subjective experience um 276 00:09:30,949 --> 00:09:28,640 and and that's perfectly a fine project 277 00:09:32,630 --> 00:09:30,959 to try to do uh what we you know what i 278 00:09:34,790 --> 00:09:32,640 would want from that physicalist 279 00:09:37,190 --> 00:09:34,800 approach would be um 280 00:09:39,110 --> 00:09:37,200 not a hand wave but but a specific 281 00:09:43,509 --> 00:09:39,120 accomplishment so you know how do we 282 00:09:45,190 --> 00:09:43,519 start with um dynamical systems of 283 00:09:46,550 --> 00:09:45,200 neural networks and come up with the 284 00:09:48,630 --> 00:09:46,560 taste of chocolate 285 00:09:51,190 --> 00:09:48,640 or the smell of garlic or something 286 00:09:53,670 --> 00:09:51,200 specific some specific conscious 287 00:09:55,910 --> 00:09:53,680 experience but we say my my scientific 288 00:09:58,470 --> 00:09:55,920 theory says why this 289 00:10:00,470 --> 00:09:58,480 dynamical system of activity in 290 00:10:02,310 --> 00:10:00,480 neurons or in computer system or 291 00:10:03,829 --> 00:10:02,320 something like that must be the taste of 292 00:10:05,269 --> 00:10:03,839 chocolate it could not be the smell of 293 00:10:07,350 --> 00:10:05,279 garlic and these are the principal 294 00:10:09,269 --> 00:10:07,360 reasons why if we if something like that 295 00:10:11,350 --> 00:10:09,279 were on the table i would be impressed 296 00:10:12,790 --> 00:10:11,360 until then i'm not impressed 297 00:10:15,670 --> 00:10:12,800 so so 298 00:10:17,350 --> 00:10:15,680 and there's nothing on the table uh yet 299 00:10:19,110 --> 00:10:17,360 that can do that 300 00:10:21,269 --> 00:10:19,120 so that's one reason why i've been 301 00:10:22,550 --> 00:10:21,279 casting around and and looking for a 302 00:10:25,110 --> 00:10:22,560 different direction 303 00:10:26,389 --> 00:10:25,120 um it's not starting with the with the 304 00:10:29,110 --> 00:10:26,399 physical 305 00:10:30,870 --> 00:10:29,120 but starting um somewhere else and 306 00:10:34,069 --> 00:10:30,880 partly because and we can talk about 307 00:10:36,150 --> 00:10:34,079 this in greater detail 308 00:10:37,830 --> 00:10:36,160 because our best scientific theories 309 00:10:40,310 --> 00:10:37,840 right now namely um 310 00:10:42,949 --> 00:10:40,320 [Music] 311 00:10:45,190 --> 00:10:42,959 quantum field theory and and general 312 00:10:47,350 --> 00:10:45,200 relativity on the one hand 313 00:10:48,630 --> 00:10:47,360 and an evolution of natural selection on 314 00:10:50,230 --> 00:10:48,640 the other 315 00:10:51,990 --> 00:10:50,240 both 316 00:10:55,269 --> 00:10:52,000 entail 317 00:10:57,750 --> 00:10:55,279 that space-time is not fundamental 318 00:11:00,710 --> 00:10:57,760 our our two 319 00:11:02,630 --> 00:11:00,720 or three premier scientific theories 320 00:11:03,829 --> 00:11:02,640 um really tell us 321 00:11:05,990 --> 00:11:03,839 their limits 322 00:11:07,269 --> 00:11:06,000 they tell us that space time cannot be 323 00:11:08,949 --> 00:11:07,279 fundamental 324 00:11:11,030 --> 00:11:08,959 and that therefore the contents of space 325 00:11:12,310 --> 00:11:11,040 time are not fundamental 326 00:11:15,350 --> 00:11:12,320 and so if we're going to look for a 327 00:11:17,590 --> 00:11:15,360 theory of consciousness 328 00:11:19,670 --> 00:11:17,600 and we start with something inside space 329 00:11:23,269 --> 00:11:19,680 time we're already starting where our 330 00:11:27,670 --> 00:11:25,190 is not fundamental 331 00:11:29,750 --> 00:11:27,680 so as a result i've been trying to then 332 00:11:31,269 --> 00:11:29,760 say well if space time isn't fundamental 333 00:11:32,949 --> 00:11:31,279 and we don't yet know 334 00:11:35,030 --> 00:11:32,959 what's more fundamental 335 00:11:36,949 --> 00:11:35,040 why don't we first start with trying to 336 00:11:39,670 --> 00:11:36,959 get a mathematical theory of 337 00:11:41,509 --> 00:11:39,680 consciousness on its own terms 338 00:11:42,870 --> 00:11:41,519 what is consciousness 339 00:11:44,230 --> 00:11:42,880 what kinds of assumptions can we make 340 00:11:45,990 --> 00:11:44,240 about it 341 00:11:48,150 --> 00:11:46,000 and then we can ask the question you 342 00:11:50,389 --> 00:11:48,160 know is consciousness 343 00:11:52,389 --> 00:11:50,399 more fundamental than space-time what is 344 00:11:54,870 --> 00:11:52,399 the relationship between consciousness 345 00:11:57,750 --> 00:11:54,880 and space-time 346 00:11:59,509 --> 00:11:57,760 so so the you know the and i can go in 347 00:12:02,710 --> 00:11:59,519 in some of the details if we want to on 348 00:12:03,790 --> 00:12:02,720 on that model um but but the big picture 349 00:12:06,150 --> 00:12:03,800 is that um 350 00:12:08,470 --> 00:12:06,160 [Music] 351 00:12:10,310 --> 00:12:08,480 i'm taking very seriously that evolution 352 00:12:11,350 --> 00:12:10,320 of natural selection entails that none 353 00:12:13,430 --> 00:12:11,360 of our 354 00:12:15,269 --> 00:12:13,440 sensory systems tell us the truths about 355 00:12:17,030 --> 00:12:15,279 objective reality and that therefore 356 00:12:19,030 --> 00:12:17,040 space time is is 357 00:12:19,990 --> 00:12:19,040 not an objective truth it's just 358 00:12:42,310 --> 00:12:20,000 a 359 00:12:44,389 --> 00:12:42,320 it's over 360 00:12:45,509 --> 00:12:44,399 space time is not fundamental and the 361 00:12:48,069 --> 00:12:45,519 contents of space time are not 362 00:12:49,590 --> 00:12:48,079 fundamental and so we need to figure out 363 00:12:50,949 --> 00:12:49,600 and he's got things with you working 364 00:12:53,350 --> 00:12:50,959 with juan maul the cena on things like 365 00:12:55,670 --> 00:12:53,360 cosmological polytopes they're finding 366 00:12:58,389 --> 00:12:55,680 structures beyond space-time from which 367 00:12:59,590 --> 00:12:58,399 space-time can emerge as as a as a 368 00:13:02,150 --> 00:12:59,600 projection 369 00:13:03,750 --> 00:13:02,160 as a special case but these in these in 370 00:13:05,590 --> 00:13:03,760 these deeper 371 00:13:07,509 --> 00:13:05,600 theories there is no time 372 00:13:09,430 --> 00:13:07,519 and there is no space 373 00:13:11,269 --> 00:13:09,440 but there are symmetries that are true 374 00:13:12,949 --> 00:13:11,279 of for example scattering amplitudes 375 00:13:15,110 --> 00:13:12,959 data 376 00:13:17,190 --> 00:13:15,120 that that are there that are true that 377 00:13:19,030 --> 00:13:17,200 you can't see in space time they they 378 00:13:20,790 --> 00:13:19,040 can predict the data but they don't use 379 00:13:23,910 --> 00:13:20,800 space and time as the fundamental 380 00:13:26,389 --> 00:13:23,920 concepts and i think that 381 00:13:27,509 --> 00:13:26,399 as we start to go into 382 00:13:28,870 --> 00:13:27,519 your scientific theories of 383 00:13:31,110 --> 00:13:28,880 consciousness 384 00:13:32,790 --> 00:13:31,120 we cannot ignore what our physicist 385 00:13:34,069 --> 00:13:32,800 colleagues are telling us 386 00:13:35,829 --> 00:13:34,079 they're they're telling us if you're 387 00:13:37,670 --> 00:13:35,839 looking for something fundamental it's 388 00:13:38,949 --> 00:13:37,680 not space time and in particular it's 389 00:13:42,069 --> 00:13:38,959 not time 390 00:13:44,230 --> 00:13:42,079 and that that is a real show stopper is 391 00:13:46,710 --> 00:13:44,240 it's for the physicist too i mean trying 392 00:13:49,670 --> 00:13:46,720 to think outside of the time box 393 00:13:51,829 --> 00:13:49,680 is not easy for the physicists and so 394 00:13:53,910 --> 00:13:51,839 what do we do if we don't have 395 00:13:54,790 --> 00:13:53,920 um space time if we don't have 396 00:13:57,509 --> 00:13:54,800 time 397 00:13:58,870 --> 00:13:57,519 so so i think that that's 398 00:14:00,389 --> 00:13:58,880 one of the interesting questions that we 399 00:14:02,150 --> 00:14:00,399 have to face if we're going to come up 400 00:14:04,710 --> 00:14:02,160 with a theory of consciousness what do 401 00:14:07,350 --> 00:14:04,720 we take as fundamental in our theory if 402 00:14:10,150 --> 00:14:07,360 we take anything inside space time 403 00:14:11,030 --> 00:14:10,160 we're already sort of cutting ourselves 404 00:14:13,269 --> 00:14:11,040 off 405 00:14:14,470 --> 00:14:13,279 because we know that as physics 406 00:14:17,030 --> 00:14:14,480 progresses 407 00:14:19,509 --> 00:14:17,040 things inside space time will just be um 408 00:14:22,310 --> 00:14:19,519 shown to be secondary 409 00:14:23,509 --> 00:14:22,320 so we can go into my details on on 410 00:14:25,350 --> 00:14:23,519 you know my current model of 411 00:14:28,790 --> 00:14:25,360 consciousness but maybe we should talk 412 00:14:33,509 --> 00:14:28,800 first about these more meta ideas 413 00:14:37,829 --> 00:14:34,949 and it's interesting that you start 414 00:14:39,590 --> 00:14:37,839 outing yourself as a mysterianist in a 415 00:14:41,590 --> 00:14:39,600 way right the mysterianism being the 416 00:14:44,470 --> 00:14:41,600 position that human minds are basically 417 00:14:46,150 --> 00:14:44,480 not equipped to understand how they work 418 00:14:48,389 --> 00:14:46,160 or how the universe works that they are 419 00:14:50,550 --> 00:14:48,399 embedded in at a very deep level 420 00:14:52,470 --> 00:14:50,560 and i sometimes joke that mysterianism 421 00:14:54,230 --> 00:14:52,480 is the position that something cannot be 422 00:14:59,269 --> 00:14:54,240 understood if it cannot be understood by 423 00:15:03,910 --> 00:15:01,509 with respect to the mind at the science 424 00:15:06,550 --> 00:15:03,920 of consciousness conference he once uh 425 00:15:08,949 --> 00:15:06,560 gave a presentation where he uh talks 426 00:15:10,470 --> 00:15:08,959 about the card and then mentions that 427 00:15:12,310 --> 00:15:10,480 the card was actually a very smart 428 00:15:14,230 --> 00:15:12,320 fellow because you could already 429 00:15:16,870 --> 00:15:14,240 anticipate stuff that would only be 430 00:15:19,590 --> 00:15:16,880 discovered much much later on and i was 431 00:15:21,910 --> 00:15:19,600 perking up and wondering my god chomsky 432 00:15:23,829 --> 00:15:21,920 is giving this guy credit 433 00:15:24,790 --> 00:15:23,839 and it turned out what he anticipated 434 00:15:27,030 --> 00:15:24,800 was that 435 00:15:30,790 --> 00:15:27,040 we would later like tomski discover that 436 00:15:34,550 --> 00:15:32,710 right so uh this 437 00:15:36,230 --> 00:15:34,560 it's fascinating of course if you are 438 00:15:38,230 --> 00:15:36,240 one of the smartest minds of your own 439 00:15:40,310 --> 00:15:38,240 generation and you see that other people 440 00:15:43,110 --> 00:15:40,320 don't understand 441 00:15:44,790 --> 00:15:43,120 things and that you understand and there 442 00:15:46,550 --> 00:15:44,800 is a boundary where nobody seems to have 443 00:15:48,710 --> 00:15:46,560 an understanding and you crash against 444 00:15:51,110 --> 00:15:48,720 it you you might think okay maybe there 445 00:15:52,629 --> 00:15:51,120 is no way that humans can do it 446 00:15:54,230 --> 00:15:52,639 not convinced that this is the case 447 00:15:57,030 --> 00:15:54,240 though so i'm not i'm not a mysterianist 448 00:15:59,350 --> 00:15:57,040 at this point in my intellectual career 449 00:16:01,829 --> 00:15:59,360 and that's in part because i come from 450 00:16:03,269 --> 00:16:01,839 the other side so many of the things 451 00:16:05,430 --> 00:16:03,279 that 452 00:16:08,470 --> 00:16:05,440 people took as a given for a long time 453 00:16:10,710 --> 00:16:08,480 like space and time 454 00:16:12,069 --> 00:16:10,720 appeared to me in the beginning quite 455 00:16:12,870 --> 00:16:12,079 mysterious 456 00:16:17,269 --> 00:16:12,880 so 457 00:16:19,110 --> 00:16:17,279 time was not that mysterious to me 458 00:16:22,389 --> 00:16:19,120 basically i'm a computer scientist i 459 00:16:24,470 --> 00:16:22,399 started very very early on in my life to 460 00:16:26,389 --> 00:16:24,480 program before i properly understood 461 00:16:27,509 --> 00:16:26,399 mathematics and before i understood 462 00:16:29,590 --> 00:16:27,519 physics 463 00:16:31,269 --> 00:16:29,600 and i understood how to make things in a 464 00:16:32,949 --> 00:16:31,279 computer and 465 00:16:34,150 --> 00:16:32,959 einstein's watch 466 00:16:38,470 --> 00:16:34,160 that is 467 00:16:41,910 --> 00:16:40,470 movements and so on but you cannot open 468 00:16:44,230 --> 00:16:41,920 it and you can come up with theories 469 00:16:46,790 --> 00:16:44,240 what's happening inside to me this watch 470 00:16:49,430 --> 00:16:46,800 was the screen of a computer 471 00:16:51,990 --> 00:16:49,440 and i understood that there is no limit 472 00:16:54,069 --> 00:16:52,000 to what can be put into the computer if 473 00:16:55,590 --> 00:16:54,079 uh it has enough resources right so if 474 00:16:57,749 --> 00:16:55,600 the computer is fast enough and if it 475 00:16:59,590 --> 00:16:57,759 has enough memory there is no pattern 476 00:17:01,430 --> 00:16:59,600 that cannot be shown on the screen there 477 00:17:03,749 --> 00:17:01,440 is no limit to the sequence of patterns 478 00:17:06,069 --> 00:17:03,759 that is to be shown on the screen so any 479 00:17:08,470 --> 00:17:06,079 observation that i am making if i 480 00:17:10,949 --> 00:17:08,480 understand it as a pattern on some kind 481 00:17:13,750 --> 00:17:10,959 of screen that is visible to me i will 482 00:17:15,510 --> 00:17:13,760 always be able to construct something a 483 00:17:17,669 --> 00:17:15,520 mechanism that is on the other side and 484 00:17:20,069 --> 00:17:17,679 produces the sequence 485 00:17:22,470 --> 00:17:20,079 and now the question is can i produce an 486 00:17:25,189 --> 00:17:22,480 elegant sequence can i produce a minimal 487 00:17:26,870 --> 00:17:25,199 pattern can i produce something from 488 00:17:29,350 --> 00:17:26,880 which i think it's plausible that it 489 00:17:31,510 --> 00:17:29,360 emerged by itself 490 00:17:34,070 --> 00:17:31,520 and that is to me this big important 491 00:17:37,110 --> 00:17:34,080 question of physics the idea of 492 00:17:39,430 --> 00:17:37,120 physicalism to me is the notion that 493 00:17:41,270 --> 00:17:39,440 we live in a reality that is fully 494 00:17:43,270 --> 00:17:41,280 emergent over a causally closed 495 00:17:45,430 --> 00:17:43,280 mechanical layer and we are in that base 496 00:17:48,070 --> 00:17:45,440 reality that emerges from it 497 00:17:50,870 --> 00:17:48,080 and the alternatives to physicalism is 498 00:17:52,870 --> 00:17:50,880 that this base layer is somewhere else 499 00:17:54,390 --> 00:17:52,880 because even if we live in a simulation 500 00:17:56,390 --> 00:17:54,400 that is created by some kind of 501 00:17:57,510 --> 00:17:56,400 supernatural being 502 00:17:59,110 --> 00:17:57,520 something must have created the 503 00:18:01,270 --> 00:17:59,120 supernatural being in its parent 504 00:18:03,029 --> 00:18:01,280 universe right so ultimately every 505 00:18:06,390 --> 00:18:03,039 supernatural event is going to have some 506 00:18:08,789 --> 00:18:06,400 kind of natural cause some kind of prime 507 00:18:10,230 --> 00:18:08,799 mover that is taking away in the void 508 00:18:11,430 --> 00:18:10,240 and producing the patterns that you 509 00:18:14,230 --> 00:18:11,440 observe and the patterns that you 510 00:18:16,230 --> 00:18:14,240 observe are so damn regular and there is 511 00:18:19,669 --> 00:18:16,240 all this conservation going on 512 00:18:21,510 --> 00:18:19,679 of information that uh it 513 00:18:23,190 --> 00:18:21,520 doesn't seem like a conspiracy to me it 514 00:18:25,669 --> 00:18:23,200 seems that we are not in a simulation it 515 00:18:27,669 --> 00:18:25,679 seems that the idea that consciousness 516 00:18:29,669 --> 00:18:27,679 could be primary to our reality is not 517 00:18:31,510 --> 00:18:29,679 true because consciousness being primary 518 00:18:33,270 --> 00:18:31,520 means that you would have to live in 519 00:18:35,190 --> 00:18:33,280 somebody else's mind 520 00:18:37,270 --> 00:18:35,200 that we live in some kind of 521 00:18:39,110 --> 00:18:37,280 conspirational simulation that somebody 522 00:18:40,950 --> 00:18:39,120 has set up for us and well that is 523 00:18:42,870 --> 00:18:40,960 possible and i can principal not exclude 524 00:18:45,190 --> 00:18:42,880 it because there can be no evidence that 525 00:18:47,350 --> 00:18:45,200 can ever be fully conclusive if somebody 526 00:18:49,029 --> 00:18:47,360 sets it up to deceive me 527 00:18:50,150 --> 00:18:49,039 there is no reason for me to believe it 528 00:18:52,710 --> 00:18:50,160 because there are not enough things 529 00:18:54,630 --> 00:18:52,720 happening in my reality that counteract 530 00:18:57,270 --> 00:18:54,640 the notion that i live in a mechanical 531 00:18:58,870 --> 00:18:57,280 universe the few things that pop up i 532 00:19:01,350 --> 00:18:58,880 can still explain this by faulty 533 00:19:03,669 --> 00:19:01,360 memories and psychosis 534 00:19:06,070 --> 00:19:03,679 right so the only thing that uh needs to 535 00:19:08,390 --> 00:19:06,080 be explained and that i was puzzling 536 00:19:10,390 --> 00:19:08,400 people like turing and other thinkers is 537 00:19:11,190 --> 00:19:10,400 there's a possibility that telepathy is 538 00:19:15,110 --> 00:19:11,200 true 539 00:19:17,350 --> 00:19:15,120 would not be compatible with the way in 540 00:19:18,950 --> 00:19:17,360 which we understand physics right now 541 00:19:20,230 --> 00:19:18,960 and there's this question is there a 542 00:19:22,070 --> 00:19:20,240 point at which we have to discard 543 00:19:23,909 --> 00:19:22,080 physics fully and accept that you live 544 00:19:25,669 --> 00:19:23,919 in some kind of simulation in some kind 545 00:19:27,270 --> 00:19:25,679 of dream universe that somebody has set 546 00:19:29,430 --> 00:19:27,280 up like a computer game where you can 547 00:19:32,710 --> 00:19:29,440 arbitrarily break hostility when it's 548 00:19:35,350 --> 00:19:32,720 convenient or is this uh something that 549 00:19:37,029 --> 00:19:35,360 we need to extend physics or is it just 550 00:19:38,950 --> 00:19:37,039 something where our minds are playing 551 00:19:41,029 --> 00:19:38,960 tricks with us and we know our mindset 552 00:19:43,190 --> 00:19:41,039 playing lots of tricks with us 553 00:19:45,909 --> 00:19:43,200 so during considered the possibility 554 00:19:47,990 --> 00:19:45,919 that telepathy exists as very real to 555 00:19:50,710 --> 00:19:48,000 this to the point where he included this 556 00:19:52,070 --> 00:19:50,720 in his 1950 paper computing machinery 557 00:19:53,430 --> 00:19:52,080 and intelligence where he sketches out 558 00:19:55,830 --> 00:19:53,440 the tubing test 559 00:19:57,750 --> 00:19:55,840 and seriously asks what a turing test 560 00:19:59,350 --> 00:19:57,760 would have to involve or such a system 561 00:20:02,310 --> 00:19:59,360 the ability to 562 00:20:04,230 --> 00:20:02,320 be telepathic and if it's not what 563 00:20:06,310 --> 00:20:04,240 difference would it make it doesn't get 564 00:20:07,029 --> 00:20:06,320 to the point where you assess out loud 565 00:20:08,870 --> 00:20:07,039 that 566 00:20:10,870 --> 00:20:08,880 if telepathy is possible you cannot be 567 00:20:12,870 --> 00:20:10,880 sure which of your thoughts and feelings 568 00:20:15,110 --> 00:20:12,880 originate in your own brain they could 569 00:20:17,590 --> 00:20:15,120 come from somewhere else right so 570 00:20:18,549 --> 00:20:17,600 this opens up the door to lots and lots 571 00:20:20,630 --> 00:20:18,559 of things 572 00:20:22,390 --> 00:20:20,640 but uh for the time being 573 00:20:25,270 --> 00:20:22,400 i think that uh the evidence for 574 00:20:27,350 --> 00:20:25,280 telepathy is weak and if uh telepathy 575 00:20:28,870 --> 00:20:27,360 would exist um i would be seriously 576 00:20:31,669 --> 00:20:28,880 willing to consider this together with 577 00:20:33,510 --> 00:20:31,679 during uh this is not clear why whether 578 00:20:34,789 --> 00:20:33,520 we cannot find a mechanical explanation 579 00:20:36,549 --> 00:20:34,799 for it 580 00:20:38,630 --> 00:20:36,559 but there's always going to be some kind 581 00:20:40,470 --> 00:20:38,640 of computer program that explains the 582 00:20:43,590 --> 00:20:40,480 patterns on the screen 583 00:20:45,830 --> 00:20:43,600 now if we think about space 584 00:20:48,070 --> 00:20:45,840 to me as a 585 00:20:50,549 --> 00:20:48,080 kit that was programming the notion of a 586 00:20:52,390 --> 00:20:50,559 continuous space never made sense 587 00:20:54,710 --> 00:20:52,400 because it's not computable i cannot 588 00:20:56,470 --> 00:20:54,720 write something that is continuous space 589 00:20:58,070 --> 00:20:56,480 and when i tried to wrap my mind around 590 00:21:00,549 --> 00:20:58,080 the mathematics 591 00:21:02,310 --> 00:21:00,559 the language broke i was not able to 592 00:21:05,029 --> 00:21:02,320 understand how to make a point that is 593 00:21:07,190 --> 00:21:05,039 infinitely small yet fits together if 594 00:21:09,830 --> 00:21:07,200 you add infinitely many of these points 595 00:21:12,070 --> 00:21:09,840 into a continuum 596 00:21:14,070 --> 00:21:12,080 this just doesn't work right 597 00:21:16,230 --> 00:21:14,080 but it's not a problem to make something 598 00:21:17,990 --> 00:21:16,240 that exactly looks like this it's not a 599 00:21:20,070 --> 00:21:18,000 problem to make a computer game that 600 00:21:22,149 --> 00:21:20,080 looks continuous it's not a computer 601 00:21:24,070 --> 00:21:22,159 game that produces physics that looks 602 00:21:26,470 --> 00:21:24,080 similar to what we can observe at least 603 00:21:28,789 --> 00:21:26,480 in the simplification of course our 604 00:21:29,750 --> 00:21:28,799 computers are extremely inefficient when 605 00:21:31,669 --> 00:21:29,760 it comes 606 00:21:33,590 --> 00:21:31,679 to simulating 607 00:21:36,310 --> 00:21:33,600 the substrate layer the quantum 608 00:21:38,549 --> 00:21:36,320 mechanics that we can observe or a layer 609 00:21:40,310 --> 00:21:38,559 below the quantum mechanics if because 610 00:21:42,390 --> 00:21:40,320 quantum mechanics is probably not the 611 00:21:44,470 --> 00:21:42,400 the lowest layer in which physics plays 612 00:21:46,630 --> 00:21:44,480 out it's just the lowest layer in which 613 00:21:48,390 --> 00:21:46,640 we can currently make observations that 614 00:21:49,830 --> 00:21:48,400 we can conceptualize 615 00:21:51,029 --> 00:21:49,840 and this leads us to what you also 616 00:21:52,870 --> 00:21:51,039 mentioned 617 00:21:54,950 --> 00:21:52,880 what is the photon i don't think that 618 00:21:57,110 --> 00:21:54,960 einstein started out with the assumption 619 00:21:59,350 --> 00:21:57,120 that the speed of light is fixed i think 620 00:22:01,029 --> 00:21:59,360 it was a derivation that he made he 621 00:22:02,310 --> 00:22:01,039 concluded that the speed of light is 622 00:22:03,190 --> 00:22:02,320 fixed 623 00:22:05,830 --> 00:22:03,200 and 624 00:22:08,070 --> 00:22:05,840 he basically once he had this conclusion 625 00:22:11,270 --> 00:22:08,080 he had implications for the possible 626 00:22:12,870 --> 00:22:11,280 descriptions of space-time that emerged 627 00:22:15,110 --> 00:22:12,880 because uh when the speed of light is 628 00:22:17,750 --> 00:22:15,120 fixed you end up with some very 629 00:22:19,430 --> 00:22:17,760 interesting paradoxes if you stay in a 630 00:22:21,270 --> 00:22:19,440 newtonian universe right you have this 631 00:22:24,470 --> 00:22:21,280 issue imagine you fly in a very fast 632 00:22:26,230 --> 00:22:24,480 spaceship and you are lighting uh 633 00:22:28,710 --> 00:22:26,240 putting light out of your flashlight 634 00:22:31,110 --> 00:22:28,720 inside of your spaceship wouldn't the 635 00:22:32,789 --> 00:22:31,120 speed of light necessarily add up to the 636 00:22:33,990 --> 00:22:32,799 speed of the spaceship to an external 637 00:22:37,990 --> 00:22:34,000 observer 638 00:22:40,149 --> 00:22:38,000 not need to observe a different speed of 639 00:22:41,750 --> 00:22:40,159 light than the person traveling in a 640 00:22:43,430 --> 00:22:41,760 spaceship and if the speed of light is 641 00:22:44,549 --> 00:22:43,440 constant always 642 00:22:46,789 --> 00:22:44,559 it means 643 00:22:48,950 --> 00:22:46,799 that the thing that now it has to change 644 00:22:51,110 --> 00:22:48,960 is time or space or both 645 00:22:53,190 --> 00:22:51,120 right you can still fix this if you make 646 00:22:55,190 --> 00:22:53,200 sure that the speed of 647 00:22:57,350 --> 00:22:55,200 time runs in a different way and this 648 00:22:59,669 --> 00:22:57,360 leads us to the inside 649 00:23:01,830 --> 00:22:59,679 that the time and space that we observe 650 00:23:03,830 --> 00:23:01,840 from our own perspectives as at merchant 651 00:23:04,789 --> 00:23:03,840 observer and whatever universe produces 652 00:23:06,070 --> 00:23:04,799 us 653 00:23:07,830 --> 00:23:06,080 are interdependent they're not 654 00:23:10,789 --> 00:23:07,840 independent of each other the speed of 655 00:23:12,230 --> 00:23:10,799 light depends on the trajectory that the 656 00:23:13,990 --> 00:23:12,240 the speed of time depends on the 657 00:23:16,230 --> 00:23:14,000 trajectory that you are taking through 658 00:23:17,029 --> 00:23:16,240 the universe 659 00:23:18,390 --> 00:23:17,039 and 660 00:23:20,390 --> 00:23:18,400 if you want to think about something 661 00:23:22,470 --> 00:23:20,400 that could be more fundamental 662 00:23:23,990 --> 00:23:22,480 we would say that the photon is a 663 00:23:25,830 --> 00:23:24,000 carrier of a 664 00:23:28,390 --> 00:23:25,840 of the electromagnetic force it's a type 665 00:23:30,230 --> 00:23:28,400 of boson which means it can be described 666 00:23:31,190 --> 00:23:30,240 as a certain pattern that has an integer 667 00:23:33,270 --> 00:23:31,200 spin 668 00:23:34,470 --> 00:23:33,280 and it has the property 669 00:23:36,789 --> 00:23:34,480 that it 670 00:23:38,710 --> 00:23:36,799 is describing the potential lte for 671 00:23:39,830 --> 00:23:38,720 measuring some electromagnetic 672 00:23:41,350 --> 00:23:39,840 interaction 673 00:23:43,190 --> 00:23:41,360 so if we take space time from the 674 00:23:44,710 --> 00:23:43,200 perspective of the observer it's the set 675 00:23:46,070 --> 00:23:44,720 of locations that can contain 676 00:23:48,390 --> 00:23:46,080 information 677 00:23:51,190 --> 00:23:48,400 and the set of trajectories that the 678 00:23:53,510 --> 00:23:51,200 information can take and the photon is a 679 00:23:55,909 --> 00:23:53,520 model of information traveling through 680 00:23:58,230 --> 00:23:55,919 space-time 681 00:24:01,029 --> 00:23:58,240 and what we have discovered and what 682 00:24:03,669 --> 00:24:01,039 einstein also sometimes suspected 683 00:24:04,950 --> 00:24:03,679 is that space itself cannot be 684 00:24:07,510 --> 00:24:04,960 fundamental 685 00:24:10,549 --> 00:24:07,520 and there were concrete reasons to to 686 00:24:12,310 --> 00:24:10,559 see this because what was discovered 687 00:24:13,190 --> 00:24:12,320 during einstein's career even when he 688 00:24:17,510 --> 00:24:13,200 was 689 00:24:19,590 --> 00:24:17,520 were singularities in spacetime which 690 00:24:21,750 --> 00:24:19,600 means points at where the mathematics of 691 00:24:23,350 --> 00:24:21,760 continuous space breaks down so your 692 00:24:25,430 --> 00:24:23,360 mathematics doesn't work anymore you 693 00:24:27,110 --> 00:24:25,440 have some kind of a division by zero 694 00:24:29,750 --> 00:24:27,120 something unpleasant happens where your 695 00:24:32,789 --> 00:24:29,760 mathematics is no longer valid 696 00:24:33,990 --> 00:24:32,799 and what einstein saw is that we can fix 697 00:24:36,149 --> 00:24:34,000 this by 698 00:24:38,070 --> 00:24:36,159 shifting the singularities around in our 699 00:24:39,830 --> 00:24:38,080 spaces type model 700 00:24:40,870 --> 00:24:39,840 and we can basically put them below the 701 00:24:43,510 --> 00:24:40,880 carpet 702 00:24:45,669 --> 00:24:43,520 you can put them in centers of mass 703 00:24:47,110 --> 00:24:45,679 so in the center of mars there is 704 00:24:48,870 --> 00:24:47,120 basically something like little black 705 00:24:50,230 --> 00:24:48,880 hole where mathematics doesn't work 706 00:24:51,669 --> 00:24:50,240 anymore the mathematics of space time 707 00:24:53,990 --> 00:24:51,679 where your mathematical description of 708 00:24:56,230 --> 00:24:54,000 that world doesn't work anymore 709 00:24:57,750 --> 00:24:56,240 and what could be more fundamental than 710 00:25:00,390 --> 00:24:57,760 space-time i think it could be 711 00:25:02,310 --> 00:25:00,400 transitions so you describe the universe 712 00:25:04,310 --> 00:25:02,320 as some kind of state vector set of 713 00:25:05,909 --> 00:25:04,320 information and this information is 714 00:25:09,110 --> 00:25:05,919 dynamic you have the way in which 715 00:25:12,310 --> 00:25:09,120 information moves between the locations 716 00:25:14,310 --> 00:25:12,320 and in this paradigm the speed of light 717 00:25:17,750 --> 00:25:14,320 could be uh the rate at which 718 00:25:20,149 --> 00:25:17,760 information propagates between locations 719 00:25:21,990 --> 00:25:20,159 and this would be an upper limit of all 720 00:25:23,430 --> 00:25:22,000 interactions that you observe 721 00:25:25,909 --> 00:25:23,440 within this 722 00:25:27,190 --> 00:25:25,919 lattice versus staff is densely 723 00:25:29,669 --> 00:25:27,200 connected 724 00:25:31,590 --> 00:25:29,679 what would it what would be necessary to 725 00:25:33,029 --> 00:25:31,600 if you have a set of locations some kind 726 00:25:34,710 --> 00:25:33,039 of graph and causal graph and 727 00:25:36,310 --> 00:25:34,720 information flowing between them to 728 00:25:37,669 --> 00:25:36,320 understand that there is causal 729 00:25:39,590 --> 00:25:37,679 structure well you need to understand 730 00:25:41,190 --> 00:25:39,600 where the information comes from to 731 00:25:43,990 --> 00:25:41,200 understand what it signifies so you can 732 00:25:45,590 --> 00:25:44,000 model it how can a single bit mean 733 00:25:47,590 --> 00:25:45,600 anything to you if it's just a single 734 00:25:50,070 --> 00:25:47,600 bit if it's not attached with the source 735 00:25:52,230 --> 00:25:50,080 with the type with the context 736 00:25:53,909 --> 00:25:52,240 right so what could be a way to figure 737 00:25:55,909 --> 00:25:53,919 out where information comes from well it 738 00:25:57,430 --> 00:25:55,919 needs to have some kind of momentum some 739 00:26:00,070 --> 00:25:57,440 kind of direction 740 00:26:02,070 --> 00:26:00,080 to carry information about direction 741 00:26:03,590 --> 00:26:02,080 and you send this to the graph that by 742 00:26:05,669 --> 00:26:03,600 itself just has just locations 743 00:26:09,029 --> 00:26:05,679 connections the only way that you can do 744 00:26:10,950 --> 00:26:09,039 this is if this thing is extended if 745 00:26:12,549 --> 00:26:10,960 it's not just a single location so which 746 00:26:14,310 --> 00:26:12,559 the information propagates but if it's 747 00:26:16,070 --> 00:26:14,320 neighboring connections and you get 748 00:26:18,630 --> 00:26:16,080 information that verifies it so you need 749 00:26:20,870 --> 00:26:18,640 to be in some kind of densely strong 750 00:26:22,230 --> 00:26:20,880 letters for information that you can 751 00:26:23,430 --> 00:26:22,240 pinpoint 752 00:26:25,750 --> 00:26:23,440 basically you need to have something 753 00:26:28,149 --> 00:26:25,760 that looks like a continuous space so 754 00:26:30,630 --> 00:26:28,159 you can identify controllable structure 755 00:26:32,549 --> 00:26:30,640 that you can identify where uh stuff 756 00:26:34,950 --> 00:26:32,559 comes from like a photon 757 00:26:36,870 --> 00:26:34,960 and uh if there is information that is 758 00:26:39,269 --> 00:26:36,880 traveling across distance so to speak 759 00:26:40,950 --> 00:26:39,279 that this is non-local that is not going 760 00:26:43,029 --> 00:26:40,960 through densely connected local 761 00:26:44,630 --> 00:26:43,039 connections but that is going over 762 00:26:46,149 --> 00:26:44,640 individual long-range links this 763 00:26:48,549 --> 00:26:46,159 information will look like a random 764 00:26:50,230 --> 00:26:48,559 fluctuation or a distant entanglement 765 00:26:52,710 --> 00:26:50,240 that you can no longer track if you 766 00:26:54,630 --> 00:26:52,720 don't know where it originated 767 00:26:55,909 --> 00:26:54,640 and this would will look like something 768 00:26:57,669 --> 00:26:55,919 like 769 00:26:59,510 --> 00:26:57,679 in determinism in from your local 770 00:27:01,510 --> 00:26:59,520 observer perspective 771 00:27:03,510 --> 00:27:01,520 still you would uh not be in 772 00:27:05,269 --> 00:27:03,520 contradiction to the 773 00:27:06,950 --> 00:27:05,279 preservation of information it would 774 00:27:09,590 --> 00:27:06,960 still be a universe in which information 775 00:27:12,310 --> 00:27:09,600 is not invented but in which the amount 776 00:27:15,029 --> 00:27:12,320 of discernible information is constant 777 00:27:17,029 --> 00:27:15,039 and if the universe was not in such a 778 00:27:18,630 --> 00:27:17,039 way that information would be preserved 779 00:27:20,549 --> 00:27:18,640 of course it would not be learnable 780 00:27:22,310 --> 00:27:20,559 because it would mean that the present 781 00:27:24,310 --> 00:27:22,320 state of the universe 782 00:27:26,710 --> 00:27:24,320 is forgetting what happened before in 783 00:27:28,230 --> 00:27:26,720 the universe it gets disconnected the 784 00:27:29,990 --> 00:27:28,240 world line of the universe just gets 785 00:27:32,710 --> 00:27:30,000 disconnected and so from an 786 00:27:34,630 --> 00:27:32,720 epistemological perspective we can only 787 00:27:36,230 --> 00:27:34,640 learn the aspects of the universe that 788 00:27:37,750 --> 00:27:36,240 look like they are conserved if there 789 00:27:39,269 --> 00:27:37,760 are things in the universe that are not 790 00:27:40,789 --> 00:27:39,279 conserved then they will not be 791 00:27:42,389 --> 00:27:40,799 intelligible to us 792 00:27:44,630 --> 00:27:42,399 and of course it's conceivable that the 793 00:27:46,950 --> 00:27:44,640 universe is some kind of automaton that 794 00:27:48,950 --> 00:27:46,960 forgets information 795 00:27:51,990 --> 00:27:48,960 another thing that shows us that 796 00:27:53,110 --> 00:27:52,000 space-time cannot be fundamental besides 797 00:27:55,190 --> 00:27:53,120 um 798 00:27:58,149 --> 00:27:55,200 about theorem which destroys the notion 799 00:27:59,990 --> 00:27:58,159 of locality is the notion of the 800 00:28:00,870 --> 00:28:00,000 collapse of the wave function basically 801 00:28:02,549 --> 00:28:00,880 this 802 00:28:03,430 --> 00:28:02,559 collapse of the wave function is the 803 00:28:05,510 --> 00:28:03,440 point 804 00:28:07,269 --> 00:28:05,520 in the history of an observer beyond 805 00:28:08,950 --> 00:28:07,279 which we cannot 806 00:28:12,470 --> 00:28:08,960 obtain a model 807 00:28:14,789 --> 00:28:12,480 of locations of events in time and space 808 00:28:16,870 --> 00:28:14,799 right beyond that point it's no longer 809 00:28:18,870 --> 00:28:16,880 not just that we don't have enough 810 00:28:20,950 --> 00:28:18,880 information to construct it but it makes 811 00:28:22,950 --> 00:28:20,960 no sense anymore to assume that the 812 00:28:24,549 --> 00:28:22,960 photon was at a particular point when it 813 00:28:27,110 --> 00:28:24,559 went to the double slit 814 00:28:28,789 --> 00:28:27,120 right at this point the space-time model 815 00:28:30,389 --> 00:28:28,799 breaks down the space-time model is a 816 00:28:32,549 --> 00:28:30,399 mathematical abstraction 817 00:28:35,269 --> 00:28:32,559 that works relatively well to look at 818 00:28:37,110 --> 00:28:35,279 things happening in the limit 819 00:28:39,269 --> 00:28:37,120 but it's not a model that can be 820 00:28:41,269 --> 00:28:39,279 fundamental i think 821 00:28:42,549 --> 00:28:41,279 and but i'm not a physicist so i'm not 822 00:28:44,149 --> 00:28:42,559 actually qualified to have these 823 00:28:46,230 --> 00:28:44,159 opinions this is just what it looks like 824 00:28:48,070 --> 00:28:46,240 to me as a computer scientist who tries 825 00:28:49,590 --> 00:28:48,080 to understand the mind and things like 826 00:28:51,029 --> 00:28:49,600 donald that 827 00:28:53,669 --> 00:28:51,039 we have to 828 00:28:56,070 --> 00:28:53,679 understand a certain degree of physics 829 00:28:57,990 --> 00:28:56,080 to make sure that our theories of 830 00:29:00,630 --> 00:28:58,000 consciousness are tight and that they 831 00:29:02,870 --> 00:29:00,640 make sense and to have to understand in 832 00:29:03,990 --> 00:29:02,880 which way they could possibly relate to 833 00:29:06,149 --> 00:29:04,000 physics 834 00:29:07,990 --> 00:29:06,159 i'm less convinced that donald that a 835 00:29:09,669 --> 00:29:08,000 deep understanding of physics is 836 00:29:11,830 --> 00:29:09,679 necessary or that physics is going to 837 00:29:14,230 --> 00:29:11,840 teach us about consciousness in part 838 00:29:17,269 --> 00:29:14,240 because i don't think that consciousness 839 00:29:17,990 --> 00:29:17,279 is that mysterious anymore i spent a lot 840 00:29:19,510 --> 00:29:18,000 of 841 00:29:21,750 --> 00:29:19,520 time in my life 842 00:29:24,630 --> 00:29:21,760 thinking that it was mysterious but 843 00:29:26,870 --> 00:29:24,640 seems to be a riddle that can be solved 844 00:29:28,389 --> 00:29:26,880 and uh basically i think that there's 845 00:29:29,909 --> 00:29:28,399 some aspects to consciousness for 846 00:29:32,630 --> 00:29:29,919 instance that you that you're observing 847 00:29:34,870 --> 00:29:32,640 yourself to be observing but uh 848 00:29:36,470 --> 00:29:34,880 consciousness is 849 00:29:38,870 --> 00:29:36,480 something that is entirely virtual it's 850 00:29:40,630 --> 00:29:38,880 not a physical thing 851 00:29:42,789 --> 00:29:40,640 electrons photons 852 00:29:45,190 --> 00:29:42,799 physical entities neurons brains cannot 853 00:29:45,909 --> 00:29:45,200 be conscious they're just mechanisms 854 00:29:47,909 --> 00:29:45,919 and 855 00:29:50,230 --> 00:29:47,919 what we can see is that the elements of 856 00:29:51,990 --> 00:29:50,240 our consciousness are not mechanical 857 00:29:53,269 --> 00:29:52,000 they're magical somehow there is magic 858 00:29:57,269 --> 00:29:53,279 happening 859 00:29:59,029 --> 00:29:57,279 that it's an a causal structure it's 860 00:30:02,470 --> 00:29:59,039 something that has been made on some 861 00:30:05,350 --> 00:30:02,480 kind of causal loom but that is not 862 00:30:07,590 --> 00:30:05,360 necessarily built in the same mechanical 863 00:30:10,470 --> 00:30:07,600 way as physics is built 864 00:30:13,110 --> 00:30:10,480 it's a story it's a it's a tale being 865 00:30:14,870 --> 00:30:13,120 told by a physical system to itself 866 00:30:16,789 --> 00:30:14,880 and if you think about organisms you 867 00:30:18,870 --> 00:30:16,799 often think of them as physical systems 868 00:30:20,950 --> 00:30:18,880 and they're neither right the organism 869 00:30:23,029 --> 00:30:20,960 doesn't exist it's not the same 870 00:30:24,549 --> 00:30:23,039 if you think about it what exists are 871 00:30:26,389 --> 00:30:24,559 cells that interact with each other and 872 00:30:27,990 --> 00:30:26,399 even the cells don't really exist what 873 00:30:29,669 --> 00:30:28,000 exists are molecules and even the 874 00:30:31,590 --> 00:30:29,679 molecules don't really exist right 875 00:30:33,350 --> 00:30:31,600 they're all layers of descriptions 876 00:30:34,870 --> 00:30:33,360 they're models that we can make because 877 00:30:37,430 --> 00:30:34,880 they're coherent 878 00:30:39,430 --> 00:30:37,440 and they hold to some degree 879 00:30:41,669 --> 00:30:39,440 it might be frazzling out at the 880 00:30:43,269 --> 00:30:41,679 boundaries but there are ways of 881 00:30:44,789 --> 00:30:43,279 thinking about the flow of information 882 00:30:47,110 --> 00:30:44,799 in the universe 883 00:30:48,470 --> 00:30:47,120 and the organism is a coherent pattern 884 00:30:50,789 --> 00:30:48,480 that you observe in the interaction 885 00:30:52,710 --> 00:30:50,799 between cells and the cells have been 886 00:30:54,630 --> 00:30:52,720 set up by evolution to interact in this 887 00:30:56,710 --> 00:30:54,640 coherent pattern because when they 888 00:30:58,789 --> 00:30:56,720 interact as if they were driven by a 889 00:31:00,789 --> 00:30:58,799 single spirit by a single target by a 890 00:31:03,029 --> 00:31:00,799 single telos and if their behavior is 891 00:31:05,269 --> 00:31:03,039 coherent and consistent that are state 892 00:31:07,190 --> 00:31:05,279 building then they have an advantage 893 00:31:08,710 --> 00:31:07,200 over cells which don't do that and just 894 00:31:10,310 --> 00:31:08,720 fight for themselves because together 895 00:31:12,870 --> 00:31:10,320 they can play longer games 896 00:31:16,070 --> 00:31:12,880 by playing longer games they can occupy 897 00:31:17,830 --> 00:31:16,080 niches in nature that cannot be occupied 898 00:31:18,710 --> 00:31:17,840 by control systems that play shorter 899 00:31:20,789 --> 00:31:18,720 games 900 00:31:23,750 --> 00:31:20,799 and this is the benefit that organisms 901 00:31:25,110 --> 00:31:23,760 have these coordinations between cells 902 00:31:27,350 --> 00:31:25,120 and an organism is a function that 903 00:31:30,549 --> 00:31:27,360 describes this pattern in the cells 904 00:31:32,630 --> 00:31:30,559 and the organism is facilitated by 905 00:31:34,230 --> 00:31:32,640 information processing across cells 906 00:31:36,630 --> 00:31:34,240 among other things 907 00:31:38,310 --> 00:31:36,640 to coordinate its interactions the 908 00:31:41,029 --> 00:31:38,320 organism needs to have something like a 909 00:31:43,029 --> 00:31:41,039 telegraph network by which it's able to 910 00:31:44,470 --> 00:31:43,039 make models of reality and coordinate 911 00:31:46,389 --> 00:31:44,480 them between the cells and coordinate 912 00:31:49,990 --> 00:31:46,399 the behavior of the cells 913 00:31:51,990 --> 00:31:50,000 and in animals this telegraph system is 914 00:31:53,909 --> 00:31:52,000 facilitated in large part by the nervous 915 00:31:55,750 --> 00:31:53,919 system it would not be necessary that 916 00:31:57,669 --> 00:31:55,760 the nervous system basically every cell 917 00:31:58,870 --> 00:31:57,679 type can do this but if you want to make 918 00:32:00,389 --> 00:31:58,880 it fast 919 00:32:02,789 --> 00:32:00,399 you need to have specialized cells that 920 00:32:04,789 --> 00:32:02,799 have a very quick expensive metabolism 921 00:32:06,630 --> 00:32:04,799 and can send information over very long 922 00:32:08,789 --> 00:32:06,640 distances very quickly which other cell 923 00:32:10,870 --> 00:32:08,799 types cannot so neurons are a specific 924 00:32:12,070 --> 00:32:10,880 type of cells that allow 925 00:32:13,350 --> 00:32:12,080 particular kind of information 926 00:32:17,269 --> 00:32:13,360 processing 927 00:32:19,509 --> 00:32:17,279 property that they can put stuff on the 928 00:32:21,590 --> 00:32:19,519 screen so it's some kind of computer 929 00:32:23,509 --> 00:32:21,600 it's a thing that can produce arbitrary 930 00:32:25,990 --> 00:32:23,519 sequences of patterns if it discovers a 931 00:32:27,750 --> 00:32:26,000 suitable function to produce them and 932 00:32:29,750 --> 00:32:27,760 implement them in the distributed 933 00:32:31,509 --> 00:32:29,760 networks of cells 934 00:32:33,430 --> 00:32:31,519 and part of what they're doing is that 935 00:32:35,350 --> 00:32:33,440 they create a story 936 00:32:36,630 --> 00:32:35,360 about a being that lives in the outside 937 00:32:38,470 --> 00:32:36,640 world 938 00:32:40,870 --> 00:32:38,480 and in our culture we have difficulty 939 00:32:43,269 --> 00:32:40,880 understanding how that is because we 940 00:32:45,590 --> 00:32:43,279 in our culture as a default teacher for 941 00:32:46,549 --> 00:32:45,600 kids that what they see is the physical 942 00:32:50,149 --> 00:32:46,559 world 943 00:32:52,149 --> 00:32:50,159 colors and so on only much later we tell 944 00:32:54,230 --> 00:32:52,159 them well it's slightly more complicated 945 00:32:55,669 --> 00:32:54,240 and sounds and color are not actually in 946 00:32:57,110 --> 00:32:55,679 physics 947 00:32:59,509 --> 00:32:57,120 everything that you consider to be 948 00:33:01,029 --> 00:32:59,519 sounds and colors is photons photons 949 00:33:03,190 --> 00:33:01,039 make electromagnetic interaction which 950 00:33:06,230 --> 00:33:03,200 let air molecules push against each 951 00:33:07,750 --> 00:33:06,240 other so they can form regular waves and 952 00:33:10,149 --> 00:33:07,760 colors are 953 00:33:13,269 --> 00:33:10,159 local dimensions that you get by 954 00:33:15,269 --> 00:33:13,279 measuring sampling the frequency of the 955 00:33:16,950 --> 00:33:15,279 electromagnetic spectrum using different 956 00:33:19,590 --> 00:33:16,960 receptor types and making a model of 957 00:33:21,990 --> 00:33:19,600 them using polar coordinates 958 00:33:23,990 --> 00:33:22,000 right so this is something that we don't 959 00:33:25,430 --> 00:33:24,000 tell the story fully to our children 960 00:33:27,350 --> 00:33:25,440 which makes it even more confusing and 961 00:33:29,110 --> 00:33:27,360 then we tell them uh photons are 962 00:33:31,750 --> 00:33:29,120 actually not little billiard balls but 963 00:33:33,350 --> 00:33:31,760 there are regions in the space time that 964 00:33:34,470 --> 00:33:33,360 have a potential for an electromagnetic 965 00:33:36,310 --> 00:33:34,480 interaction 966 00:33:38,950 --> 00:33:36,320 and this space that you're talking about 967 00:33:40,549 --> 00:33:38,960 is the photonic space it's the space 968 00:33:42,389 --> 00:33:40,559 where you can possibly have photon 969 00:33:44,070 --> 00:33:42,399 interactions for some reason it's 970 00:33:45,430 --> 00:33:44,080 three-dimensional 971 00:33:46,870 --> 00:33:45,440 and maybe there are other spaces that 972 00:33:48,789 --> 00:33:46,880 are not three-dimensional and maybe in 973 00:33:50,710 --> 00:33:48,799 these spaces you cannot have interacting 974 00:33:53,990 --> 00:33:50,720 matter in the same way 975 00:33:55,509 --> 00:33:54,000 because uh maybe um in order to get 976 00:33:57,590 --> 00:33:55,519 stable objects you need to make little 977 00:33:59,990 --> 00:33:57,600 nuts in the electromagnetic structure or 978 00:34:02,070 --> 00:34:00,000 in the spatial structure and you cannot 979 00:34:04,470 --> 00:34:02,080 make knots in 2d and in 4d they fall 980 00:34:05,909 --> 00:34:04,480 apart so maybe that's the reason or 981 00:34:07,509 --> 00:34:05,919 maybe there's another one and we haven't 982 00:34:09,829 --> 00:34:07,519 completely figured it out yet and there 983 00:34:11,190 --> 00:34:09,839 are some candidates that explain why the 984 00:34:13,109 --> 00:34:11,200 space that we are in is 985 00:34:14,629 --> 00:34:13,119 three-dimensional so why is it that we 986 00:34:16,230 --> 00:34:14,639 are interacting with the photonic space 987 00:34:18,550 --> 00:34:16,240 and not with the others why are the 988 00:34:19,589 --> 00:34:18,560 others not seeming to form a connected 989 00:34:21,589 --> 00:34:19,599 space 990 00:34:23,669 --> 00:34:21,599 in this connected letters 991 00:34:26,310 --> 00:34:23,679 um but we don't know the answer yet at 992 00:34:27,909 --> 00:34:26,320 least i'm not aware of the work that is 993 00:34:28,869 --> 00:34:27,919 sketching out the answer 994 00:34:31,349 --> 00:34:28,879 and 995 00:34:32,550 --> 00:34:31,359 if i stumble on it i i pray that i 996 00:34:33,829 --> 00:34:32,560 understand it 997 00:34:36,389 --> 00:34:33,839 but i think that there are other 998 00:34:37,909 --> 00:34:36,399 cultures that have a better intuitive 999 00:34:39,750 --> 00:34:37,919 understanding of what consciousness is 1000 00:34:41,829 --> 00:34:39,760 and if you look around we find that some 1001 00:34:44,470 --> 00:34:41,839 cultures don't find consciousness 1002 00:34:47,109 --> 00:34:44,480 mysterious i even suspect that in the 1003 00:34:48,710 --> 00:34:47,119 core of our own culture before the tower 1004 00:34:51,430 --> 00:34:48,720 of people that destroyed the shared 1005 00:34:54,310 --> 00:34:51,440 understanding it's still in there 1006 00:34:57,030 --> 00:34:54,320 so a little bit obsessed these days with 1007 00:34:59,510 --> 00:34:57,040 thinking about genesis in the bible and 1008 00:35:02,310 --> 00:34:59,520 read this epistemologically correct not 1009 00:35:04,230 --> 00:35:02,320 as a myth that is a stand in for an 1010 00:35:05,109 --> 00:35:04,240 origin theory until real science comes 1011 00:35:07,990 --> 00:35:05,119 along 1012 00:35:10,470 --> 00:35:08,000 but as something that is literally true 1013 00:35:12,230 --> 00:35:10,480 so what would that mean you know i'm 1014 00:35:13,990 --> 00:35:12,240 talking about the first book 1015 00:35:16,390 --> 00:35:14,000 i'm talking about um the book that 1016 00:35:18,150 --> 00:35:16,400 starts out with the creation of 1017 00:35:19,430 --> 00:35:18,160 sky and darkness and heaven and earth 1018 00:35:20,630 --> 00:35:19,440 and so on 1019 00:35:22,310 --> 00:35:20,640 and 1020 00:35:24,230 --> 00:35:22,320 they sing with the story if you take it 1021 00:35:26,390 --> 00:35:24,240 literally the way in which christianity 1022 00:35:28,230 --> 00:35:26,400 interprets it it's a story about a 1023 00:35:30,310 --> 00:35:28,240 supernatural being creating a physical 1024 00:35:31,910 --> 00:35:30,320 universe and what's wrong with the story 1025 00:35:33,750 --> 00:35:31,920 is that whoever tells it to you had no 1026 00:35:35,510 --> 00:35:33,760 evidence that it was true 1027 00:35:37,109 --> 00:35:35,520 right so there is no claim 1028 00:35:39,829 --> 00:35:37,119 if somebody makes a claim without 1029 00:35:42,550 --> 00:35:39,839 evidence you don't have to listen 1030 00:35:43,990 --> 00:35:42,560 it uh it could be interesting as a story 1031 00:35:45,430 --> 00:35:44,000 for cultural reference what could be 1032 00:35:47,030 --> 00:35:45,440 interesting as an idea for something 1033 00:35:48,790 --> 00:35:47,040 that you could test but if it's 1034 00:35:50,950 --> 00:35:48,800 principle not testable 1035 00:35:52,870 --> 00:35:50,960 this person cannot have that evidence 1036 00:35:54,630 --> 00:35:52,880 there is no secret source of knowledge 1037 00:35:56,710 --> 00:35:54,640 that this person had there is in 1038 00:35:57,589 --> 00:35:56,720 principle nothing that 1039 00:35:59,510 --> 00:35:57,599 that 1040 00:36:01,270 --> 00:35:59,520 some other person can update others with 1041 00:36:02,950 --> 00:36:01,280 some kind of back channel by talking to 1042 00:36:06,550 --> 00:36:02,960 a burning bush that could would 1043 00:36:07,270 --> 00:36:06,560 constitute a valid experiment so 1044 00:36:09,270 --> 00:36:07,280 uh 1045 00:36:10,870 --> 00:36:09,280 this reading makes no sense 1046 00:36:12,630 --> 00:36:10,880 it would never make any sense but it 1047 00:36:14,069 --> 00:36:12,640 could make sense especially if you 1048 00:36:15,670 --> 00:36:14,079 understand that 1049 00:36:17,910 --> 00:36:15,680 sky and ground 1050 00:36:19,829 --> 00:36:17,920 and light and sound and plants and 1051 00:36:21,670 --> 00:36:19,839 animals and their names don't actually 1052 00:36:23,510 --> 00:36:21,680 exist in physics 1053 00:36:25,349 --> 00:36:23,520 right they only exist in our mind as a 1054 00:36:27,270 --> 00:36:25,359 division of the universe into separate 1055 00:36:28,390 --> 00:36:27,280 objects so they become intelligible to 1056 00:36:30,870 --> 00:36:28,400 us 1057 00:36:33,109 --> 00:36:30,880 and the way in which we construct these 1058 00:36:34,950 --> 00:36:33,119 objects is inside of the mind so the 1059 00:36:37,190 --> 00:36:34,960 creation of the universe that is being 1060 00:36:38,870 --> 00:36:37,200 described in genesis is not the 1061 00:36:41,750 --> 00:36:38,880 physicalist universe with quantum 1062 00:36:43,510 --> 00:36:41,760 mechanics it's the creation of the 1063 00:36:45,190 --> 00:36:43,520 experimental universe in which we are 1064 00:36:46,390 --> 00:36:45,200 actually in in which we find ourselves 1065 00:36:48,790 --> 00:36:46,400 to be in 1066 00:36:50,230 --> 00:36:48,800 and the first thing that the mind is 1067 00:36:52,710 --> 00:36:50,240 discovering when it creates this 1068 00:36:54,550 --> 00:36:52,720 universe is how to make light 1069 00:36:57,829 --> 00:36:54,560 right how to uh create neural 1070 00:37:00,150 --> 00:36:57,839 oscillators that are creating a contrast 1071 00:37:02,069 --> 00:37:00,160 between light and darkness so separate 1072 00:37:03,990 --> 00:37:02,079 the light from the darkness and then 1073 00:37:06,150 --> 00:37:04,000 organize this into multiple dimensions 1074 00:37:07,829 --> 00:37:06,160 until you get a space 1075 00:37:09,750 --> 00:37:07,839 and then you align the space with the 1076 00:37:11,030 --> 00:37:09,760 information from your vestibular organs 1077 00:37:12,870 --> 00:37:11,040 and what you get 1078 00:37:15,270 --> 00:37:12,880 is the two-dimensional plane of the 1079 00:37:17,829 --> 00:37:15,280 ground and the three-dimensional space 1080 00:37:19,670 --> 00:37:17,839 of the sky above it 1081 00:37:22,550 --> 00:37:19,680 right so after you create light and 1082 00:37:25,030 --> 00:37:22,560 darkness you create literally every mind 1083 00:37:27,030 --> 00:37:25,040 does this in their cognitive development 1084 00:37:28,790 --> 00:37:27,040 the sky and the ground 1085 00:37:30,310 --> 00:37:28,800 and then you discover the objects in it 1086 00:37:32,870 --> 00:37:30,320 so you basically learn how to model 1087 00:37:35,510 --> 00:37:32,880 materials in your mind so you have 1088 00:37:37,510 --> 00:37:35,520 solids and you have liquids 1089 00:37:39,670 --> 00:37:37,520 and you have organic shapes and you have 1090 00:37:41,109 --> 00:37:39,680 animated agents 1091 00:37:42,950 --> 00:37:41,119 and then you discover features that you 1092 00:37:44,069 --> 00:37:42,960 cannot interact with like celestial 1093 00:37:45,510 --> 00:37:44,079 bodies 1094 00:37:47,510 --> 00:37:45,520 and anchor them in the world and you 1095 00:37:49,190 --> 00:37:47,520 learn how to navigate this world and 1096 00:37:50,630 --> 00:37:49,200 then you discover all the plants and the 1097 00:37:52,150 --> 00:37:50,640 animals or you construct them in your 1098 00:37:54,470 --> 00:37:52,160 mind and you associate them all with 1099 00:37:56,310 --> 00:37:54,480 their names so again of course not a 1100 00:37:57,829 --> 00:37:56,320 feature of the physical world they are 1101 00:37:59,990 --> 00:37:57,839 socially cons 1102 00:38:02,470 --> 00:38:00,000 exchanged these names and so on create 1103 00:38:03,349 --> 00:38:02,480 this world together and then 1104 00:38:05,030 --> 00:38:03,359 last 1105 00:38:07,589 --> 00:38:05,040 but not least 1106 00:38:09,750 --> 00:38:07,599 we create a person 1107 00:38:12,069 --> 00:38:09,760 so the thing that creates it is not a 1108 00:38:13,910 --> 00:38:12,079 person yet it's a mind that exists 1109 00:38:16,069 --> 00:38:13,920 before a person is around we don't 1110 00:38:18,310 --> 00:38:16,079 remember how we made light 1111 00:38:20,150 --> 00:38:18,320 we don't remember how we discovered the 1112 00:38:22,390 --> 00:38:20,160 sky and the ground in the first space 1113 00:38:23,510 --> 00:38:22,400 this was another observing agent in our 1114 00:38:25,270 --> 00:38:23,520 own brain 1115 00:38:27,990 --> 00:38:25,280 and this observing agent in our own 1116 00:38:30,230 --> 00:38:28,000 brain at some point discovers 1117 00:38:32,470 --> 00:38:30,240 the needs of a person of the needs of an 1118 00:38:35,030 --> 00:38:32,480 organism the organism that 1119 00:38:37,670 --> 00:38:35,040 its brain is embedded in 1120 00:38:39,190 --> 00:38:37,680 and it creates a model of that too 1121 00:38:40,630 --> 00:38:39,200 so it creates 1122 00:38:42,470 --> 00:38:40,640 an agent 1123 00:38:44,790 --> 00:38:42,480 that is observing this universe that is 1124 00:38:46,950 --> 00:38:44,800 embedded in this universe because this 1125 00:38:48,310 --> 00:38:46,960 first observer in our own mind is 1126 00:38:50,470 --> 00:38:48,320 discovering 1127 00:38:52,390 --> 00:38:50,480 that such an entity exists it's this 1128 00:38:54,069 --> 00:38:52,400 useful model to describe reality that 1129 00:38:56,710 --> 00:38:54,079 there is a person that has needs and 1130 00:38:59,510 --> 00:38:56,720 desires and social embedding and dreams 1131 00:39:01,349 --> 00:38:59,520 and hopes and memories and expectations 1132 00:39:04,550 --> 00:39:01,359 and it will create a story of that and 1133 00:39:06,550 --> 00:39:04,560 that story is just as real as the trees 1134 00:39:09,990 --> 00:39:06,560 that exist in our mind as imaginations 1135 00:39:13,349 --> 00:39:10,000 or the trees or um the uh that in the 1136 00:39:15,190 --> 00:39:13,359 forest and uh beyond the horizon and as 1137 00:39:16,950 --> 00:39:15,200 real as the sky and the clouds and the 1138 00:39:19,589 --> 00:39:16,960 colors and so on but they're all virtual 1139 00:39:21,750 --> 00:39:19,599 they're all simulacra they all exist to 1140 00:39:23,829 --> 00:39:21,760 tell a story to the organism that is 1141 00:39:24,710 --> 00:39:23,839 useful for the organism to model the 1142 00:39:28,150 --> 00:39:24,720 world 1143 00:39:29,990 --> 00:39:28,160 and this part where we become a person 1144 00:39:32,310 --> 00:39:30,000 seems to be happening i think around the 1145 00:39:34,870 --> 00:39:32,320 age of one and a half to two and a half 1146 00:39:36,550 --> 00:39:34,880 roughly in most children that i observed 1147 00:39:38,069 --> 00:39:36,560 and at this point a person that is 1148 00:39:40,230 --> 00:39:38,079 different from before emerges in their 1149 00:39:41,750 --> 00:39:40,240 mind it's not that there is nobody there 1150 00:39:42,950 --> 00:39:41,760 before it's just that this thing before 1151 00:39:44,310 --> 00:39:42,960 it's different 1152 00:39:46,230 --> 00:39:44,320 and you notice that there's a gap in 1153 00:39:47,030 --> 00:39:46,240 their memories they have memories when 1154 00:39:48,150 --> 00:39:47,040 they're 1155 00:39:50,470 --> 00:39:48,160 in the 1156 00:39:52,390 --> 00:39:50,480 first year when you talk to them 1157 00:39:55,030 --> 00:39:52,400 where they remember what happened 1158 00:39:56,630 --> 00:39:55,040 and have expectations already 1159 00:39:58,150 --> 00:39:56,640 but later on there is this point where 1160 00:40:00,069 --> 00:39:58,160 they don't remember these things anymore 1161 00:40:01,670 --> 00:40:00,079 it's very weird and most people when you 1162 00:40:04,309 --> 00:40:01,680 think back don't have memories that they 1163 00:40:06,550 --> 00:40:04,319 can consciously access between uh before 1164 00:40:08,230 --> 00:40:06,560 they're like two and a half years old 1165 00:40:09,990 --> 00:40:08,240 and so i wonder if this transition is 1166 00:40:11,910 --> 00:40:10,000 the result of just a re-indexing of 1167 00:40:14,550 --> 00:40:11,920 memories due to our newfound linguistic 1168 00:40:16,069 --> 00:40:14,560 ability so we can later on no longer 1169 00:40:18,630 --> 00:40:16,079 access these memories or if it's really 1170 00:40:20,550 --> 00:40:18,640 just uh basically a new agent that is 1171 00:40:21,430 --> 00:40:20,560 created by the first agent in its own 1172 00:40:23,349 --> 00:40:21,440 image 1173 00:40:25,510 --> 00:40:23,359 as an observer that is aware of the fact 1174 00:40:28,470 --> 00:40:25,520 that it's observing 1175 00:40:30,150 --> 00:40:28,480 and uh but in a different way as men and 1176 00:40:32,950 --> 00:40:30,160 women as something that thinks it's a 1177 00:40:34,710 --> 00:40:32,960 person that thinks it's a human being 1178 00:40:36,470 --> 00:40:34,720 and i'm not a human being i realize that 1179 00:40:38,630 --> 00:40:36,480 at some level i don't have an identity 1180 00:40:41,270 --> 00:40:38,640 as a human being this is a story that my 1181 00:40:42,950 --> 00:40:41,280 mind tells itself as an additional thing 1182 00:40:45,030 --> 00:40:42,960 my consciousness doesn't have an 1183 00:40:46,710 --> 00:40:45,040 identity 1184 00:40:48,550 --> 00:40:46,720 my consciousness is also not of the 1185 00:40:50,950 --> 00:40:48,560 nature that it's the same as everybody 1186 00:40:53,910 --> 00:40:50,960 else's consciousness right it's 1187 00:40:55,190 --> 00:40:53,920 the question do we all uh are the same 1188 00:40:57,430 --> 00:40:55,200 consciousness looking through different 1189 00:40:59,109 --> 00:40:57,440 eyes or with separate consciousnesses is 1190 00:41:02,069 --> 00:40:59,119 in some sense as meaningless as the 1191 00:41:03,589 --> 00:41:02,079 question of asking is the text editor 1192 00:41:05,430 --> 00:41:03,599 that you're running onto your computer 1193 00:41:07,349 --> 00:41:05,440 the same text editor that everybody else 1194 00:41:10,309 --> 00:41:07,359 runs on their computer 1195 00:41:12,870 --> 00:41:10,319 or is it a different one 1196 00:41:15,589 --> 00:41:12,880 right the program word is in some sense 1197 00:41:17,510 --> 00:41:15,599 a natural law if you put the circuits of 1198 00:41:20,069 --> 00:41:17,520 your computer in the same 1199 00:41:21,430 --> 00:41:20,079 functional configuration then 1200 00:41:22,790 --> 00:41:21,440 those things are going to happen with 1201 00:41:24,950 --> 00:41:22,800 the circuits of your computer and they 1202 00:41:26,550 --> 00:41:24,960 will afford the following interactions 1203 00:41:28,470 --> 00:41:26,560 but the program word doesn't have an 1204 00:41:30,150 --> 00:41:28,480 identity and it's also not that it has 1205 00:41:32,309 --> 00:41:30,160 no identity in the sense it's just not a 1206 00:41:34,390 --> 00:41:32,319 meaningful category to apply to it in 1207 00:41:36,230 --> 00:41:34,400 the same sense my consciousness is not 1208 00:41:38,390 --> 00:41:36,240 in in this category that would have an 1209 00:41:39,990 --> 00:41:38,400 identity or none 1210 00:41:41,670 --> 00:41:40,000 so it's it's not something that is 1211 00:41:43,510 --> 00:41:41,680 shared with others and it's not 1212 00:41:45,750 --> 00:41:43,520 something that is separate from others 1213 00:41:47,589 --> 00:41:45,760 it's a principle that applies to the 1214 00:41:49,349 --> 00:41:47,599 observation and when the consciousness 1215 00:41:51,190 --> 00:41:49,359 gets tied to a self-model then it 1216 00:41:53,829 --> 00:41:51,200 becomes perspectival and i have an 1217 00:41:56,390 --> 00:41:53,839 identity and so on but this identity is 1218 00:42:00,069 --> 00:41:56,400 a particular kind of model that my 1219 00:42:03,190 --> 00:42:00,079 organism tells itself by changing um 1220 00:42:05,510 --> 00:42:03,200 certain factors in my own brain 1221 00:42:06,630 --> 00:42:05,520 okay let's let don respond 1222 00:42:08,069 --> 00:42:06,640 yeah there's well there's quite a bit 1223 00:42:11,030 --> 00:42:08,079 there 1224 00:42:12,390 --> 00:42:11,040 um so on the 1225 00:42:14,790 --> 00:42:12,400 the nature of 1226 00:42:16,630 --> 00:42:14,800 the physical world and and in 1227 00:42:18,790 --> 00:42:16,640 computation 1228 00:42:20,790 --> 00:42:18,800 um 1229 00:42:22,630 --> 00:42:20,800 and the finiteness 1230 00:42:25,270 --> 00:42:22,640 versus you contin continuity of 1231 00:42:26,470 --> 00:42:25,280 spacetime and so forth 1232 00:42:28,710 --> 00:42:26,480 i think that 1233 00:42:29,910 --> 00:42:28,720 the work you know girdles incompleteness 1234 00:42:32,309 --> 00:42:29,920 theorem 1235 00:42:33,910 --> 00:42:32,319 is is very relevant here that 1236 00:42:36,390 --> 00:42:33,920 the notion of 1237 00:42:38,550 --> 00:42:36,400 truth 1238 00:42:40,309 --> 00:42:38,560 is far deeper than the notion of proof 1239 00:42:42,309 --> 00:42:40,319 there are 1240 00:42:44,790 --> 00:42:42,319 any system 1241 00:42:46,470 --> 00:42:44,800 any computational system will have 1242 00:42:47,190 --> 00:42:46,480 things that it can prove 1243 00:42:48,950 --> 00:42:47,200 but 1244 00:42:50,790 --> 00:42:48,960 there will be truths 1245 00:42:52,470 --> 00:42:50,800 that that computational system cannot 1246 00:42:54,550 --> 00:42:52,480 access 1247 00:42:57,030 --> 00:42:54,560 um and if you add those new truth add a 1248 00:42:58,950 --> 00:42:57,040 new truth of you know a girl's statement 1249 00:43:01,430 --> 00:42:58,960 to your set of axioms and there will be 1250 00:43:03,109 --> 00:43:01,440 yet more truths that cannot be accessed 1251 00:43:06,230 --> 00:43:03,119 from that that that 1252 00:43:09,270 --> 00:43:06,240 and so what you can compute 1253 00:43:10,630 --> 00:43:09,280 is always going to be trivial 1254 00:43:13,589 --> 00:43:10,640 to what 1255 00:43:15,030 --> 00:43:13,599 is true there will always be 1256 00:43:17,670 --> 00:43:15,040 as far as i can tell again is sort of 1257 00:43:20,870 --> 00:43:17,680 like newton's notion of we're at the 1258 00:43:24,470 --> 00:43:20,880 seashore and the vast ocean 1259 00:43:26,230 --> 00:43:24,480 of of of reality of the truth he 1260 00:43:28,790 --> 00:43:26,240 actually used the word truth the vast 1261 00:43:30,950 --> 00:43:28,800 ocean of truths is out there beyond what 1262 00:43:34,390 --> 00:43:30,960 we can compute and every truth that you 1263 00:43:35,990 --> 00:43:34,400 add to your base for computation um 1264 00:43:36,710 --> 00:43:36,000 doesn't solve the problem 1265 00:43:40,790 --> 00:43:36,720 and 1266 00:43:42,870 --> 00:43:40,800 true you know of abstract mathematics 1267 00:43:45,430 --> 00:43:42,880 but that's not true of physics 1268 00:43:46,550 --> 00:43:45,440 i mean the physics itself is computable 1269 00:43:49,990 --> 00:43:46,560 but that 1270 00:43:51,589 --> 00:43:50,000 um there's some recent work um 1271 00:43:54,069 --> 00:43:51,599 suggesting that that's that's not the 1272 00:43:56,069 --> 00:43:54,079 case so um 1273 00:43:59,030 --> 00:43:56,079 tony kubit 1274 00:44:02,230 --> 00:43:59,040 the physicist and and his colleagues 1275 00:44:04,309 --> 00:44:02,240 have have recently proved that 1276 00:44:05,910 --> 00:44:04,319 a very important problem to condense 1277 00:44:09,750 --> 00:44:05,920 matter physicists 1278 00:44:12,870 --> 00:44:09,760 called the spectral gap problem 1279 00:44:14,870 --> 00:44:12,880 um is not computable 1280 00:44:21,030 --> 00:44:14,880 and 1281 00:44:23,190 --> 00:44:21,040 they haven't proven this yet but that 1282 00:44:24,710 --> 00:44:23,200 something that that's a big open problem 1283 00:44:26,470 --> 00:44:24,720 i think the millennium 1284 00:44:29,030 --> 00:44:26,480 prize committee has this is one of their 1285 00:44:30,870 --> 00:44:29,040 problems is to understand the the yang 1286 00:44:33,589 --> 00:44:30,880 mills gas gap 1287 00:44:35,990 --> 00:44:33,599 problem which is you know why do 1288 00:44:36,950 --> 00:44:36,000 photons and gravitons have no mass but 1289 00:44:40,630 --> 00:44:36,960 the 1290 00:44:42,710 --> 00:44:40,640 have mass 1291 00:44:44,309 --> 00:44:42,720 and kubit and his 1292 00:44:47,990 --> 00:44:44,319 collaborators think again that we're 1293 00:44:51,589 --> 00:44:49,829 non-computational is going on here it's 1294 00:44:53,829 --> 00:44:51,599 not decidable 1295 00:44:55,030 --> 00:44:53,839 and my guess is that this is just the 1296 00:44:56,550 --> 00:44:55,040 beginning 1297 00:44:59,510 --> 00:44:56,560 that we're going to find that as 1298 00:45:00,550 --> 00:44:59,520 powerful as computation is and you know 1299 00:46:04,870 --> 00:45:00,560 i 1300 00:46:07,349 --> 00:46:04,880 you on the seashore 1301 00:46:08,309 --> 00:46:07,359 and so that that's why 1302 00:46:10,309 --> 00:46:08,319 i mean 1303 00:46:12,550 --> 00:46:10,319 i i didn't like that conclusion but you 1304 00:46:14,309 --> 00:46:12,560 know girdle proved it and now physicists 1305 00:46:16,630 --> 00:46:14,319 are finding it in you know the spectral 1306 00:46:18,309 --> 00:46:16,640 gap and so 1307 00:46:20,630 --> 00:46:18,319 as much as i like computation i'm a 1308 00:46:22,230 --> 00:46:20,640 computer scientist myself as much as i 1309 00:46:24,150 --> 00:46:22,240 like computation 1310 00:46:27,030 --> 00:46:24,160 i have to defer to the mathematical 1311 00:46:29,349 --> 00:46:27,040 proofs that say um computation goes thus 1312 00:46:31,510 --> 00:46:29,359 far and no further 1313 00:46:35,270 --> 00:46:31,520 and then ask myself okay 1314 00:46:36,950 --> 00:46:35,280 how can so my my conceptual system then 1315 00:46:40,630 --> 00:46:36,960 is itself 1316 00:46:43,270 --> 00:46:40,640 just a symbolic system 1317 00:46:46,790 --> 00:46:43,280 with derivation rules so what i what i 1318 00:46:49,109 --> 00:46:46,800 can compute by my my thought is also 1319 00:46:50,309 --> 00:46:49,119 going to be limited which is why i was 1320 00:46:52,390 --> 00:46:50,319 saying up front what i think about 1321 00:46:53,829 --> 00:46:52,400 scientific theories right scientific 1322 00:46:55,990 --> 00:46:53,839 theories are going to have these 1323 00:46:57,750 --> 00:46:56,000 limitations we will put down a set of 1324 00:46:59,589 --> 00:46:57,760 axioms 1325 00:47:02,550 --> 00:46:59,599 each theory a good scientific theory 1326 00:47:03,910 --> 00:47:02,560 will tell you exactly what it assumes 1327 00:47:05,430 --> 00:47:03,920 and 1328 00:47:06,790 --> 00:47:05,440 it will also give you a hint about the 1329 00:47:09,430 --> 00:47:06,800 kind of derivations that you can give 1330 00:47:11,910 --> 00:47:09,440 from those assumptions and then you use 1331 00:47:14,470 --> 00:47:11,920 you find what that theory will entail 1332 00:47:15,990 --> 00:47:14,480 but our best theories 1333 00:47:18,710 --> 00:47:16,000 uh like 1334 00:47:20,470 --> 00:47:18,720 quantum theory and relativity and 1335 00:47:22,470 --> 00:47:20,480 evolution of natural selection 1336 00:47:24,470 --> 00:47:22,480 the best theories will also tell you 1337 00:47:26,630 --> 00:47:24,480 where they stop they will say we go this 1338 00:47:29,349 --> 00:47:26,640 far and no further 1339 00:47:30,710 --> 00:47:29,359 and and for example 1340 00:47:32,309 --> 00:47:30,720 physics tells us 1341 00:47:34,549 --> 00:47:32,319 that 1342 00:47:36,870 --> 00:47:34,559 space time itself cannot be fundamental 1343 00:47:38,549 --> 00:47:36,880 that the very notion of space-time 1344 00:47:41,190 --> 00:47:38,559 cannot be fundamental which is stunning 1345 00:47:43,109 --> 00:47:41,200 because physics for several centuries 1346 00:47:44,950 --> 00:47:43,119 has essentially been the study of what 1347 00:47:46,710 --> 00:47:44,960 happens in space and time 1348 00:47:47,910 --> 00:47:46,720 and so to say that space time is not 1349 00:47:49,910 --> 00:47:47,920 fundamental 1350 00:47:51,990 --> 00:47:49,920 means that the physicists have to 1351 00:47:54,630 --> 00:47:52,000 redefine what what physics is about and 1352 00:47:57,190 --> 00:47:54,640 that's what for example juan maldocena 1353 00:47:58,790 --> 00:47:57,200 and neymar connie hamid are trying to do 1354 00:48:00,710 --> 00:47:58,800 with things like the cosmological 1355 00:48:01,750 --> 00:48:00,720 polytope and amplitude and so forth 1356 00:48:04,150 --> 00:48:01,760 they're finding 1357 00:48:06,870 --> 00:48:04,160 structures where there are no hilbert 1358 00:48:08,470 --> 00:48:06,880 spaces so there's no quantum theory 1359 00:48:09,910 --> 00:48:08,480 there is no time 1360 00:48:12,470 --> 00:48:09,920 there is no space 1361 00:48:15,990 --> 00:48:12,480 there are these positive geometries and 1362 00:48:18,069 --> 00:48:16,000 what you find is you can predict 1363 00:48:19,670 --> 00:48:18,079 events in space time like scattering 1364 00:48:21,829 --> 00:48:19,680 processes that you see at the large 1365 00:48:23,430 --> 00:48:21,839 hadron collider you can predict them and 1366 00:48:24,950 --> 00:48:23,440 in fact you 1367 00:48:26,630 --> 00:48:24,960 you can actually 1368 00:48:29,109 --> 00:48:26,640 compute them 1369 00:48:31,430 --> 00:48:29,119 in some sense better than if you assume 1370 00:48:33,109 --> 00:48:31,440 space time so they're finding that what 1371 00:48:35,510 --> 00:48:33,119 you know if you use feynman diagrams and 1372 00:48:37,510 --> 00:48:35,520 try to compute scattering amplitudes for 1373 00:48:39,910 --> 00:48:37,520 two gluons coming in and four gluons 1374 00:48:41,750 --> 00:48:39,920 scattering out using the standard 1375 00:48:43,829 --> 00:48:41,760 quantum field theoretic approaches where 1376 00:48:45,829 --> 00:48:43,839 space and time is assumed you get 1377 00:48:48,150 --> 00:48:45,839 hundreds of pages of algebra and it's 1378 00:48:49,990 --> 00:48:48,160 it's it's a mask whereas if you let go 1379 00:48:51,030 --> 00:48:50,000 space time and and look at these 1380 00:48:52,549 --> 00:48:51,040 structures 1381 00:48:54,150 --> 00:48:52,559 uh with symmetries that cannot be 1382 00:48:56,309 --> 00:48:54,160 expressed in space timeline dual 1383 00:48:57,510 --> 00:48:56,319 conformal symmetry then you find that 1384 00:48:59,589 --> 00:48:57,520 the the 1385 00:49:02,470 --> 00:48:59,599 the same scattering amplitudes can be 1386 00:49:04,549 --> 00:49:02,480 processed in just two or three um terms 1387 00:49:07,030 --> 00:49:04,559 that you can write down pen and paper on 1388 00:49:09,030 --> 00:49:07,040 a sheet of paper so all of a sudden you 1389 00:49:11,510 --> 00:49:09,040 so what they're seeing is space time has 1390 00:49:13,910 --> 00:49:11,520 had a good run 1391 00:49:16,870 --> 00:49:13,920 but if you force yourself to stick with 1392 00:49:18,950 --> 00:49:16,880 space time then the math is ugly you get 1393 00:49:20,710 --> 00:49:18,960 hundreds of pages of algebra to compute 1394 00:49:23,190 --> 00:49:20,720 scattering amplitudes you can't see the 1395 00:49:25,030 --> 00:49:23,200 symmetries that are there like dual 1396 00:49:27,190 --> 00:49:25,040 conformal symmetry if you let go 1397 00:49:28,470 --> 00:49:27,200 space-time you're finding these amazing 1398 00:49:29,589 --> 00:49:28,480 structures that they don't know what 1399 00:49:31,270 --> 00:49:29,599 they're about 1400 00:49:33,109 --> 00:49:31,280 but all of a sudden you see the right 1401 00:49:34,230 --> 00:49:33,119 symmetries and the computations become 1402 00:49:36,069 --> 00:49:34,240 trivial 1403 00:49:38,309 --> 00:49:36,079 so there's some big hint 1404 00:49:40,390 --> 00:49:38,319 that um i think 1405 00:49:42,390 --> 00:49:40,400 on a couple fronts from girdle 1406 00:49:43,990 --> 00:49:42,400 and from the work by tony kubit and his 1407 00:49:47,030 --> 00:49:44,000 team that 1408 00:49:48,470 --> 00:49:47,040 the computation is as as powerful as it 1409 00:49:50,309 --> 00:49:48,480 is and as much as i love it as a you 1410 00:49:53,510 --> 00:49:50,319 know ai person 1411 00:49:55,030 --> 00:49:53,520 and a cognitive scientist it it it has 1412 00:49:56,549 --> 00:49:55,040 it's always going to be on the seashore 1413 00:49:57,349 --> 00:49:56,559 with newton 1414 00:50:00,069 --> 00:49:57,359 and 1415 00:50:01,990 --> 00:50:00,079 when we let go space-time 1416 00:50:03,510 --> 00:50:02,000 we're still of course as theorists 1417 00:50:05,510 --> 00:50:03,520 always going to have 1418 00:50:07,270 --> 00:50:05,520 a finite set of axioms and and 1419 00:50:09,349 --> 00:50:07,280 derivations about you know like the 1420 00:50:13,109 --> 00:50:09,359 cosmological polytope and and and so 1421 00:50:14,870 --> 00:50:13,119 forth that nema and juan are finding 1422 00:50:17,030 --> 00:50:14,880 we're still going to have a finite set 1423 00:50:17,910 --> 00:50:17,040 of concepts and derivations so we're not 1424 00:50:20,150 --> 00:50:17,920 going to get around girdle's 1425 00:50:23,589 --> 00:50:20,160 incompleteness there but at least we're 1426 00:50:25,430 --> 00:50:23,599 we're going beyond the notion of time 1427 00:50:27,030 --> 00:50:25,440 which is really critical 1428 00:50:29,510 --> 00:50:27,040 and and 1429 00:50:31,670 --> 00:50:29,520 and that also cuts at the computational 1430 00:50:34,230 --> 00:50:31,680 issues pretty interesting computational 1431 00:50:36,150 --> 00:50:34,240 complexity is is about you know a lot of 1432 00:50:37,349 --> 00:50:36,160 it's about time complexity 1433 00:50:38,790 --> 00:50:37,359 and 1434 00:50:40,390 --> 00:50:38,800 what physicists are telling us is that 1435 00:50:41,670 --> 00:50:40,400 ultimately 1436 00:50:43,829 --> 00:50:41,680 we're gonna have to let go of the notion 1437 00:50:45,750 --> 00:50:43,839 of time and so as computer scientists 1438 00:50:47,910 --> 00:50:45,760 we're gonna have to rethink complexity 1439 00:50:50,069 --> 00:50:47,920 issues when the very notion of time 1440 00:50:52,069 --> 00:50:50,079 itself isn't fundamental 1441 00:50:55,190 --> 00:50:52,079 so that that's gonna be a real 1442 00:50:57,190 --> 00:50:55,200 a real kicker for for us in in computer 1443 00:50:59,030 --> 00:50:57,200 science how do we think about complexity 1444 00:51:00,630 --> 00:50:59,040 issues when time itself is not the right 1445 00:51:02,150 --> 00:51:00,640 way to think about things 1446 00:51:04,470 --> 00:51:02,160 and and therefore the sequence of 1447 00:51:06,309 --> 00:51:04,480 computations in time is not the right 1448 00:51:09,510 --> 00:51:06,319 way to think about things we have some 1449 00:51:11,270 --> 00:51:09,520 really deep thinking to do ahead 1450 00:51:12,870 --> 00:51:11,280 but 1451 00:51:15,670 --> 00:51:12,880 where i i think 1452 00:51:17,750 --> 00:51:15,680 we share some common ground yoshi is 1453 00:51:19,990 --> 00:51:17,760 i think that a lot of 1454 00:51:21,510 --> 00:51:20,000 our experiences and so forth our models 1455 00:51:22,549 --> 00:51:21,520 that we built i think that we are 1456 00:51:25,190 --> 00:51:22,559 building 1457 00:51:26,870 --> 00:51:25,200 internal models 1458 00:51:30,309 --> 00:51:26,880 but the question is what is the 1459 00:51:31,750 --> 00:51:30,319 apparatus that's building those models 1460 00:51:36,069 --> 00:51:31,760 and 1461 00:51:38,309 --> 00:51:36,079 time 1462 00:51:40,630 --> 00:51:38,319 it so in particular 1463 00:51:42,710 --> 00:51:40,640 i'll be very very explicit i i don't 1464 00:51:45,030 --> 00:51:42,720 think that neurons exist 1465 00:51:46,710 --> 00:51:45,040 when they're not perceived 1466 00:51:48,150 --> 00:51:46,720 i don't think space-time exists when 1467 00:51:50,390 --> 00:51:48,160 it's not perceived 1468 00:51:52,390 --> 00:51:50,400 i think neurons in space-time 1469 00:51:54,390 --> 00:51:52,400 and even particles 1470 00:51:55,670 --> 00:51:54,400 are are 1471 00:51:58,630 --> 00:51:55,680 simply 1472 00:52:01,750 --> 00:51:58,640 data structures 1473 00:52:05,510 --> 00:52:02,950 and 1474 00:52:06,950 --> 00:52:05,520 there is a a formulation of quantum 1475 00:52:09,190 --> 00:52:06,960 theory that that's very similar to this 1476 00:52:11,190 --> 00:52:09,200 is called cubism quantum basianism chris 1477 00:52:13,349 --> 00:52:11,200 fuchs and david merman 1478 00:52:15,270 --> 00:52:13,359 where where they they take this point of 1479 00:52:17,510 --> 00:52:15,280 view that it's the 1480 00:52:18,390 --> 00:52:17,520 every act of observation 1481 00:52:21,109 --> 00:52:18,400 in physics 1482 00:52:23,750 --> 00:52:21,119 every experiment that you do is an act 1483 00:52:25,910 --> 00:52:23,760 of fact creation 1484 00:52:27,750 --> 00:52:25,920 right that that it's not that there are 1485 00:52:29,430 --> 00:52:27,760 pre-existing particles with pre-existing 1486 00:52:31,109 --> 00:52:29,440 states and you're measuring 1487 00:52:34,630 --> 00:52:31,119 those those states 1488 00:52:36,710 --> 00:52:34,640 rather the it's their their you know 1489 00:52:38,309 --> 00:52:36,720 their subjective bayesians so all the 1490 00:52:39,670 --> 00:52:38,319 probabilities in quantum theory are 1491 00:52:41,430 --> 00:52:39,680 subjective probabilities they're not 1492 00:52:43,750 --> 00:52:41,440 objective probabilities 1493 00:52:44,790 --> 00:52:43,760 and every outcome is a 1494 00:52:47,190 --> 00:52:44,800 um 1495 00:52:49,190 --> 00:52:47,200 a fact creation and they they do have i 1496 00:52:51,910 --> 00:52:49,200 mean chris pukes has a very interesting 1497 00:52:52,710 --> 00:52:51,920 2010 paper called cubism 1498 00:52:54,470 --> 00:52:52,720 um 1499 00:52:56,390 --> 00:52:54,480 that i highly recommend and in that 1500 00:52:57,510 --> 00:52:56,400 paper he actually points to very 1501 00:52:58,829 --> 00:52:57,520 interesting 1502 00:53:03,750 --> 00:52:58,839 um 1503 00:53:06,630 --> 00:53:03,760 that there's a sequence of 1504 00:53:08,950 --> 00:53:06,640 what what what's proven is that even if 1505 00:53:10,309 --> 00:53:08,960 you know what the outcome of your 1506 00:53:12,470 --> 00:53:10,319 experiment is going to be with 1507 00:53:14,470 --> 00:53:12,480 probability one 1508 00:53:15,990 --> 00:53:14,480 that does not entail that the outcome is 1509 00:53:17,829 --> 00:53:16,000 there and exists independent of your 1510 00:53:19,670 --> 00:53:17,839 observation 1511 00:53:20,950 --> 00:53:19,680 that's a stunning thing to say is the 1512 00:53:22,470 --> 00:53:20,960 probability one you know with 1513 00:53:24,790 --> 00:53:22,480 probability of one what you're going to 1514 00:53:26,710 --> 00:53:24,800 measure and yet you can prove 1515 00:53:29,349 --> 00:53:26,720 with with quantum mechanics that it's 1516 00:53:31,829 --> 00:53:29,359 impossible that the outcome was there 1517 00:53:32,950 --> 00:53:31,839 the the value existed before you made 1518 00:53:35,589 --> 00:53:32,960 the measurement 1519 00:53:38,309 --> 00:53:35,599 so that the it's really the case that 1520 00:53:39,750 --> 00:53:38,319 the acts of observation are fact 1521 00:53:40,549 --> 00:53:39,760 creations 1522 00:53:43,349 --> 00:53:40,559 not 1523 00:53:45,190 --> 00:53:43,359 fact discoveries 1524 00:53:50,470 --> 00:53:45,200 so 1525 00:53:52,230 --> 00:53:50,480 the work that's done in consciousness 1526 00:53:54,150 --> 00:53:52,240 assumes 1527 00:53:55,829 --> 00:53:54,160 i would say this is 99 of the theories 1528 00:53:58,390 --> 00:53:55,839 that i've seen in consciousness 1529 00:54:00,069 --> 00:53:58,400 assume that space-time is fundamental 1530 00:54:02,150 --> 00:54:00,079 assume that physical particles are 1531 00:54:04,150 --> 00:54:02,160 fundamental and that somehow neural 1532 00:54:05,750 --> 00:54:04,160 activity 1533 00:54:07,990 --> 00:54:05,760 in humans 1534 00:54:11,270 --> 00:54:08,000 and perhaps other kinds of more complex 1535 00:54:13,670 --> 00:54:11,280 activity in ais creates creates 1536 00:54:15,270 --> 00:54:13,680 consciousness but but the very founding 1537 00:54:17,030 --> 00:54:15,280 assumptions that space-time is 1538 00:54:19,430 --> 00:54:17,040 fundamental that neurons exist when 1539 00:54:21,430 --> 00:54:19,440 they're when they're not perceived 1540 00:54:23,349 --> 00:54:21,440 contradicts our best physics and it also 1541 00:54:24,790 --> 00:54:23,359 contradicts evolution of natural 1542 00:54:25,589 --> 00:54:24,800 selection 1543 00:54:29,829 --> 00:54:25,599 which 1544 00:54:32,069 --> 00:54:29,839 natural selection makes it very clear 1545 00:54:35,990 --> 00:54:32,079 that the probability is zero 1546 00:54:37,750 --> 00:54:36,000 that the sensory systems of any organism 1547 00:54:39,589 --> 00:54:37,760 tell them any truths about objective 1548 00:54:41,670 --> 00:54:39,599 reality 1549 00:54:43,430 --> 00:54:41,680 they tell it what what they tell 1550 00:54:45,750 --> 00:54:43,440 organisms sensory systems evolve to tell 1551 00:54:47,510 --> 00:54:45,760 organisms how to behave in order to stay 1552 00:54:48,789 --> 00:54:47,520 alive period 1553 00:54:49,750 --> 00:54:48,799 that's it 1554 00:54:55,109 --> 00:54:49,760 and 1555 00:54:57,030 --> 00:54:55,119 for you know staying alive but but gives 1556 00:54:58,470 --> 00:54:57,040 you no access to the truth and that that 1557 00:55:00,789 --> 00:54:58,480 fits with what physics is telling us 1558 00:55:03,510 --> 00:55:00,799 that that space time is a user interface 1559 00:55:05,030 --> 00:55:03,520 but it's not the final truth and so so 1560 00:55:07,750 --> 00:55:05,040 what i want from 1561 00:55:10,150 --> 00:55:07,760 a theory of consciousness 1562 00:55:12,630 --> 00:55:10,160 as a scientist is i want a clear 1563 00:55:13,910 --> 00:55:12,640 statement of what are the what am i 1564 00:55:15,910 --> 00:55:13,920 assuming 1565 00:55:18,069 --> 00:55:15,920 what are the exact things that my theory 1566 00:55:20,549 --> 00:55:18,079 takes is primitive 1567 00:55:22,630 --> 00:55:20,559 what are the exact rules that 1568 00:55:25,030 --> 00:55:22,640 that allow me to drive things from those 1569 00:55:27,270 --> 00:55:25,040 primitives and how exactly do i get the 1570 00:55:29,270 --> 00:55:27,280 taste of chocolate from that 1571 00:55:31,670 --> 00:55:29,280 that's that's what i'm looking for from 1572 00:55:33,589 --> 00:55:31,680 from the theory of consciousness precise 1573 00:55:36,309 --> 00:55:33,599 statement of exactly what i'm assuming 1574 00:55:38,150 --> 00:55:36,319 up front with mathematical precision and 1575 00:55:39,430 --> 00:55:38,160 then precise derivation if i'm not 1576 00:55:42,470 --> 00:55:39,440 taking the taste of chocolate is 1577 00:55:44,150 --> 00:55:42,480 fundamental if i'm saying that somehow 1578 00:55:46,069 --> 00:55:44,160 some dynamical system is going to give 1579 00:55:48,789 --> 00:55:46,079 it to me then i want to know exactly 1580 00:55:50,549 --> 00:55:48,799 which dynamical system is 1581 00:55:52,390 --> 00:55:50,559 giving me the taste of chocolate and why 1582 00:55:54,870 --> 00:55:52,400 that dynamical system could not be the 1583 00:55:56,630 --> 00:55:54,880 smell of garlic i want to know exactly 1584 00:55:58,549 --> 00:55:56,640 otherwise there's no there's no real 1585 00:56:01,109 --> 00:55:58,559 science on the table 1586 00:56:02,470 --> 00:56:01,119 at all so that's what i'm looking for is 1587 00:56:04,710 --> 00:56:02,480 theories that say exactly what the 1588 00:56:06,470 --> 00:56:04,720 assumptions are and tell me exactly for 1589 00:56:09,270 --> 00:56:06,480 at least one specific conscious 1590 00:56:10,309 --> 00:56:09,280 experience how that conscious experience 1591 00:56:12,069 --> 00:56:10,319 must be 1592 00:56:15,030 --> 00:56:12,079 derived in that way and so so that's 1593 00:56:18,069 --> 00:56:15,040 where i'm coming from on those now in 1594 00:56:20,309 --> 00:56:18,079 the case of of cells and the brain 1595 00:56:21,829 --> 00:56:20,319 i i would just mention something that's 1596 00:56:24,950 --> 00:56:21,839 very interesting that you probably know 1597 00:56:27,990 --> 00:56:24,960 about mike levin's work um 1598 00:56:28,870 --> 00:56:28,000 right and and so he's finding that 1599 00:56:31,589 --> 00:56:28,880 that 1600 00:56:34,950 --> 00:56:31,599 cells not just neurons but but any cell 1601 00:56:36,630 --> 00:56:34,960 in in in animals that in fact 1602 00:56:39,430 --> 00:56:36,640 outside of the brain 1603 00:56:41,510 --> 00:56:39,440 they they can learn 1604 00:56:43,030 --> 00:56:41,520 and they can compute 1605 00:56:45,510 --> 00:56:43,040 and they can 1606 00:56:48,630 --> 00:56:45,520 do morphogenesis of you know of of of 1607 00:56:50,230 --> 00:56:48,640 the cell's body they use gap junction 1608 00:56:52,549 --> 00:56:50,240 communication electric 1609 00:56:54,870 --> 00:56:52,559 so they're effectively um 1610 00:56:57,510 --> 00:56:54,880 doing what neurons do but in a very very 1611 00:56:59,670 --> 00:56:57,520 different way and and this is all cells 1612 00:57:02,630 --> 00:56:59,680 can communicate with in this way with 1613 00:57:04,710 --> 00:57:02,640 gap junctions and so forth so i suspect 1614 00:57:10,309 --> 00:57:04,720 that 1615 00:57:12,230 --> 00:57:10,319 neurons aren't special in in the sense 1616 00:57:14,230 --> 00:57:12,240 of being information processors that 1617 00:57:16,150 --> 00:57:14,240 that that information processing and 1618 00:57:18,390 --> 00:57:16,160 this seems to be where where mike was is 1619 00:57:19,430 --> 00:57:18,400 heading um is that that information 1620 00:57:20,630 --> 00:57:19,440 processing 1621 00:57:23,190 --> 00:57:20,640 is happening in what he calls these 1622 00:57:25,670 --> 00:57:23,200 bioelectric fields um even if there are 1623 00:57:28,150 --> 00:57:25,680 no neurons and that they can learn they 1624 00:57:30,069 --> 00:57:28,160 can retain memories and they can be very 1625 00:57:31,430 --> 00:57:30,079 intelligent and so so even as 1626 00:57:33,349 --> 00:57:31,440 neuroscientists 1627 00:57:35,750 --> 00:57:33,359 we may find that we'll have to expand 1628 00:57:37,030 --> 00:57:35,760 our horizons beyond 1629 00:57:38,630 --> 00:57:37,040 neuroscience 1630 00:57:40,950 --> 00:57:38,640 and understand if if i were a 1631 00:57:42,710 --> 00:57:40,960 reductionist and trying to do biological 1632 00:57:45,270 --> 00:57:42,720 reduction i would at this point with 1633 00:57:47,829 --> 00:57:45,280 mike levin's stuff be be interested to 1634 00:57:49,750 --> 00:57:47,839 say oh well maybe i wouldn't necessarily 1635 00:57:51,589 --> 00:57:49,760 reduce consciousness to neural activity 1636 00:57:53,430 --> 00:57:51,599 maybe these gap junctions and the 1637 00:57:54,950 --> 00:57:53,440 computations that cells can do would 1638 00:57:56,630 --> 00:57:54,960 also be 1639 00:57:58,470 --> 00:57:56,640 a suitable 1640 00:58:00,630 --> 00:57:58,480 format but but again i'm not a 1641 00:58:04,549 --> 00:58:00,640 reductionist in that sense but i'll stop 1642 00:58:09,190 --> 00:58:06,230 thank you um 1643 00:58:11,510 --> 00:58:09,200 you went very far and right and try to 1644 00:58:13,349 --> 00:58:11,520 be a little bit more concise 1645 00:58:15,109 --> 00:58:13,359 let's start out with good 1646 00:58:18,309 --> 00:58:15,119 good spoof had a 1647 00:58:21,589 --> 00:58:18,319 very profound and not necessarily very 1648 00:58:22,549 --> 00:58:21,599 positive influence on philosophy 1649 00:58:27,430 --> 00:58:22,559 and 1650 00:58:29,589 --> 00:58:27,440 philosophy opened up a tradition that 1651 00:58:31,750 --> 00:58:29,599 where the underlying current is that 1652 00:58:33,190 --> 00:58:31,760 what goodl has shown is that mathematics 1653 00:58:35,670 --> 00:58:33,200 is important 1654 00:58:37,109 --> 00:58:35,680 to describe reality 1655 00:58:38,870 --> 00:58:37,119 and therefore 1656 00:58:40,630 --> 00:58:38,880 reality can only be described by people 1657 00:58:41,990 --> 00:58:40,640 who don't really know mathematics that 1658 00:58:43,910 --> 00:58:42,000 is philosophers 1659 00:58:46,150 --> 00:58:43,920 so philosophers like that intuition 1660 00:58:48,549 --> 00:58:46,160 right but it implies that there is 1661 00:58:51,270 --> 00:58:48,559 something beyond mathematics 1662 00:58:53,030 --> 00:58:51,280 that allows you to make sense of things 1663 00:58:55,910 --> 00:58:53,040 that assign truth 1664 00:58:57,990 --> 00:58:55,920 and uh slightly deeper when you say that 1665 00:59:00,230 --> 00:58:58,000 uh you like computation and you value it 1666 00:59:01,750 --> 00:59:00,240 and so on and you see its limits it 1667 00:59:03,349 --> 00:59:01,760 implies that you see what comes beyond 1668 00:59:05,589 --> 00:59:03,359 these limits and you're using that thing 1669 00:59:07,270 --> 00:59:05,599 beyond the limits to think 1670 00:59:09,670 --> 00:59:07,280 and i don't think that you are 1671 00:59:11,990 --> 00:59:09,680 everything in my own mind that i can 1672 00:59:14,390 --> 00:59:12,000 observe when i observe myself perceiving 1673 00:59:19,109 --> 00:59:14,400 when i perceive myself 1674 00:59:21,270 --> 00:59:19,119 reasoning is computational it means that 1675 00:59:23,349 --> 00:59:21,280 i go to from state to state 1676 00:59:25,510 --> 00:59:23,359 in a somewhat deterministic way the 1677 00:59:27,510 --> 00:59:25,520 random parts are just deleting bits that 1678 00:59:29,190 --> 00:59:27,520 i computed before so i have to do it 1679 00:59:32,069 --> 00:59:29,200 again the randomness and determinism 1680 00:59:34,549 --> 00:59:32,079 doesn't help me so the part of my mind 1681 00:59:36,950 --> 00:59:34,559 that is relevant to my thinking is 1682 00:59:39,670 --> 00:59:36,960 fundamentally computational what girdle 1683 00:59:41,670 --> 00:59:39,680 discovered and is often misunderstood 1684 00:59:44,150 --> 00:59:41,680 and also by gordo himself 1685 00:59:45,750 --> 00:59:44,160 is is a very important thing 1686 00:59:48,549 --> 00:59:45,760 what girdle has discovered is not that 1687 00:59:51,030 --> 00:59:48,559 truth is deeper than proof 1688 00:59:53,589 --> 00:59:51,040 that was in some sense the suspicion 1689 00:59:56,870 --> 00:59:53,599 which he started with he knew that 1690 00:59:58,789 --> 00:59:56,880 in his view that truth is platonic 1691 01:00:00,549 --> 00:59:58,799 that things can be true or not 1692 01:00:02,710 --> 01:00:00,559 regardless of whether we find out or 1693 01:00:03,990 --> 01:00:02,720 whether it can be found out 1694 01:00:05,990 --> 01:00:04,000 and he hoped 1695 01:00:08,789 --> 01:00:06,000 to find a notion of truth 1696 01:00:10,549 --> 01:00:08,799 of proof that could reach truth 1697 01:00:13,190 --> 01:00:10,559 and he found that it couldn't and he 1698 01:00:15,510 --> 01:00:13,200 found this in a devastating way 1699 01:00:17,190 --> 01:00:15,520 and he drew the conclusion that there is 1700 01:00:18,950 --> 01:00:17,200 truth that cannot be found with 1701 01:00:21,349 --> 01:00:18,960 mathematics 1702 01:00:24,150 --> 01:00:21,359 and the opposite is true 1703 01:00:25,829 --> 01:00:24,160 there is no deeper notion of truth than 1704 01:00:27,430 --> 01:00:25,839 proof 1705 01:00:29,430 --> 01:00:27,440 you see a 1706 01:00:31,030 --> 01:00:29,440 perception cannot be true or false 1707 01:00:33,270 --> 01:00:31,040 perception just is 1708 01:00:35,270 --> 01:00:33,280 physics physical events out there in the 1709 01:00:37,270 --> 01:00:35,280 universe cannot be true or false they 1710 01:00:39,670 --> 01:00:37,280 just are a pattern that you observe is 1711 01:00:41,349 --> 01:00:39,680 not true or false it just is 1712 01:00:42,710 --> 01:00:41,359 right you could be erroneously thinking 1713 01:00:44,390 --> 01:00:42,720 that you're perceiving a pattern when 1714 01:00:46,710 --> 01:00:44,400 you don't because you're suffering from 1715 01:00:48,309 --> 01:00:46,720 false memory or a delusion or whatever 1716 01:00:51,270 --> 01:00:48,319 that makes your thinking or perception 1717 01:00:53,430 --> 01:00:51,280 inconsistent but the pattern itself is 1718 01:00:55,670 --> 01:00:53,440 not true or false it's an interpretation 1719 01:00:57,910 --> 01:00:55,680 that can be true or false and the 1720 01:00:59,829 --> 01:00:57,920 interpretation is has to be in a 1721 01:01:01,510 --> 01:00:59,839 symbolic language to have the property 1722 01:01:03,829 --> 01:01:01,520 that can be true or false a perceptual 1723 01:01:05,510 --> 01:01:03,839 interpretation by itself is not true or 1724 01:01:07,829 --> 01:01:05,520 false it just is 1725 01:01:10,230 --> 01:01:07,839 right so in order to be true or false 1726 01:01:12,150 --> 01:01:10,240 you need to have a language and the 1727 01:01:14,710 --> 01:01:12,160 language needs to be defined in such a 1728 01:01:16,789 --> 01:01:14,720 way that truths can be established and 1729 01:01:18,390 --> 01:01:16,799 the process of establishing truth is a 1730 01:01:20,309 --> 01:01:18,400 computation 1731 01:01:23,190 --> 01:01:20,319 and there are two types of languages in 1732 01:01:24,710 --> 01:01:23,200 which truths can be defined 1733 01:01:27,270 --> 01:01:24,720 and the language of classical 1734 01:01:29,910 --> 01:01:27,280 mathematics is a stateless language 1735 01:01:32,230 --> 01:01:29,920 it's one where time doesn't exist where 1736 01:01:34,230 --> 01:01:32,240 everything happens all at once or in 1737 01:01:36,309 --> 01:01:34,240 some kind of eternal moment 1738 01:01:38,150 --> 01:01:36,319 so if you want to go from state to state 1739 01:01:39,510 --> 01:01:38,160 in this language of eternal mathematics 1740 01:01:41,349 --> 01:01:39,520 in the stateless language you just 1741 01:01:43,430 --> 01:01:41,359 assign an index and then you iterate of 1742 01:01:45,750 --> 01:01:43,440 the index and you do this in a single 1743 01:01:48,150 --> 01:01:45,760 instant in one moment 1744 01:01:49,990 --> 01:01:48,160 and the stateless mathematics has a very 1745 01:01:51,670 --> 01:01:50,000 beautiful property it allows you to deal 1746 01:01:54,069 --> 01:01:51,680 with infinities because you can now 1747 01:01:56,230 --> 01:01:54,079 construct functions that take infinitely 1748 01:01:57,829 --> 01:01:56,240 many arguments in a single step 1749 01:01:59,750 --> 01:01:57,839 perform an operation over them in a 1750 01:02:01,190 --> 01:01:59,760 single step and give the result back in 1751 01:02:03,109 --> 01:02:01,200 a single step 1752 01:02:05,510 --> 01:02:03,119 it's a language in which you can assign 1753 01:02:07,190 --> 01:02:05,520 a value to pi 1754 01:02:08,870 --> 01:02:07,200 right in the computational system you 1755 01:02:10,069 --> 01:02:08,880 cannot really assign a value to pi you 1756 01:02:12,549 --> 01:02:10,079 can have a function that gives you 1757 01:02:15,430 --> 01:02:12,559 digits by digit but you never get to the 1758 01:02:17,589 --> 01:02:15,440 latest last digit it also means that 1759 01:02:19,510 --> 01:02:17,599 digit can uh pi can never be written 1760 01:02:21,190 --> 01:02:19,520 down in such a way that you can have a 1761 01:02:23,589 --> 01:02:21,200 process that relies on knowing all the 1762 01:02:26,950 --> 01:02:23,599 digits of pi and consumes them to tune 1763 01:02:28,150 --> 01:02:26,960 the outcome of some physical process 1764 01:02:30,789 --> 01:02:28,160 right if you 1765 01:02:32,470 --> 01:02:30,799 make the switch to a stateful language 1766 01:02:33,349 --> 01:02:32,480 in which you can only go from step to 1767 01:02:35,510 --> 01:02:33,359 step 1768 01:02:37,510 --> 01:02:35,520 you're losing certain things you're 1769 01:02:39,910 --> 01:02:37,520 losing the ability to treat pi as a 1770 01:02:41,829 --> 01:02:39,920 value pi is now certainly a function 1771 01:02:43,430 --> 01:02:41,839 that you can only approximate to a 1772 01:02:45,589 --> 01:02:43,440 certain degree 1773 01:02:47,190 --> 01:02:45,599 and many other things stop being values 1774 01:02:49,510 --> 01:02:47,200 you'll get a fundamental difference 1775 01:02:50,950 --> 01:02:49,520 between a value of the function a value 1776 01:02:53,109 --> 01:02:50,960 is something that you have already 1777 01:02:54,549 --> 01:02:53,119 computed that you know how to compute by 1778 01:02:56,230 --> 01:02:54,559 extension 1779 01:02:58,470 --> 01:02:56,240 and this means that also that truth 1780 01:03:00,230 --> 01:02:58,480 changes truth is no longer this platonic 1781 01:03:01,990 --> 01:03:00,240 thing that precedes mathematics and 1782 01:03:03,589 --> 01:03:02,000 where we can use mathematics as a tool 1783 01:03:05,829 --> 01:03:03,599 to figure it out 1784 01:03:07,430 --> 01:03:05,839 it has to be contingent on the language 1785 01:03:09,270 --> 01:03:07,440 in which you use it 1786 01:03:10,630 --> 01:03:09,280 if your language has internal 1787 01:03:12,630 --> 01:03:10,640 contradictions 1788 01:03:13,910 --> 01:03:12,640 then truth becomes impossible to 1789 01:03:14,870 --> 01:03:13,920 determine 1790 01:03:16,710 --> 01:03:14,880 right 1791 01:03:18,950 --> 01:03:16,720 you get into areas in this language 1792 01:03:21,109 --> 01:03:18,960 where it falls apart you can no longer 1793 01:03:22,789 --> 01:03:21,119 use it to express coherent thoughts 1794 01:03:24,150 --> 01:03:22,799 about reality and korean models about 1795 01:03:26,710 --> 01:03:24,160 reality 1796 01:03:28,710 --> 01:03:26,720 you can never make statements in the 1797 01:03:30,309 --> 01:03:28,720 language that you can prove outside of 1798 01:03:32,710 --> 01:03:30,319 the language so you cannot use your 1799 01:03:35,109 --> 01:03:32,720 language to prove things that are not 1800 01:03:37,910 --> 01:03:35,119 cannot be described in the language 1801 01:03:39,750 --> 01:03:37,920 your only hope to prove statements about 1802 01:03:41,190 --> 01:03:39,760 the universe that you exist in inner 1803 01:03:43,910 --> 01:03:41,200 language is that you are able to 1804 01:03:46,309 --> 01:03:43,920 recreate the observations that you make 1805 01:03:48,309 --> 01:03:46,319 inside of the language which means you 1806 01:03:49,589 --> 01:03:48,319 recreate a model of the universe that is 1807 01:03:51,829 --> 01:03:49,599 so good 1808 01:03:54,549 --> 01:03:51,839 that it gives you what you observe 1809 01:03:55,750 --> 01:03:54,559 correctly and then you can hope that the 1810 01:03:57,349 --> 01:03:55,760 statements that you make in your 1811 01:03:58,470 --> 01:03:57,359 language capture something about the 1812 01:04:00,230 --> 01:03:58,480 reality 1813 01:04:02,069 --> 01:04:00,240 outside of you that gives rise to your 1814 01:04:04,470 --> 01:04:02,079 observations but of course you cannot 1815 01:04:06,549 --> 01:04:04,480 know because it could also be different 1816 01:04:09,190 --> 01:04:06,559 but if your language is not able to 1817 01:04:11,270 --> 01:04:09,200 produce what's on your screen 1818 01:04:14,549 --> 01:04:11,280 then your language is wrong 1819 01:04:17,670 --> 01:04:14,559 and hilbert basically gave out this task 1820 01:04:20,950 --> 01:04:17,680 to mathematicians to find a machine 1821 01:04:22,950 --> 01:04:20,960 any kind of structural sound language 1822 01:04:24,549 --> 01:04:22,960 that is able to run the semantics of 1823 01:04:26,870 --> 01:04:24,559 mathematics without breaking and what 1824 01:04:28,630 --> 01:04:26,880 goethe discovered is that the semantics 1825 01:04:31,029 --> 01:04:28,640 of stateless mathematics cannot be 1826 01:04:33,670 --> 01:04:31,039 recovered if you assume that there is a 1827 01:04:34,549 --> 01:04:33,680 solution to get stateless mathematics to 1828 01:04:36,710 --> 01:04:34,559 work 1829 01:04:38,950 --> 01:04:36,720 you will run into contradictions 1830 01:04:40,950 --> 01:04:38,960 of the way that google is covered 1831 01:04:42,390 --> 01:04:40,960 but there is a way out 1832 01:04:44,470 --> 01:04:42,400 you just 1833 01:04:46,549 --> 01:04:44,480 drop the notion of truth that is 1834 01:04:48,630 --> 01:04:46,559 independent of the sequence of 1835 01:04:50,230 --> 01:04:48,640 operations the number of the set of 1836 01:04:51,109 --> 01:04:50,240 steps that you took the algorithm that 1837 01:04:53,670 --> 01:04:51,119 you took 1838 01:04:54,870 --> 01:04:53,680 to get to your result 1839 01:04:56,710 --> 01:04:54,880 it means that when you have a 1840 01:04:58,789 --> 01:04:56,720 self-referential statement like this 1841 01:05:00,789 --> 01:04:58,799 sentence is false 1842 01:05:02,710 --> 01:05:00,799 right this is a sentence that of the 1843 01:05:04,549 --> 01:05:02,720 type that god has shown leads and for 1844 01:05:06,710 --> 01:05:04,559 contradictions if you assume that there 1845 01:05:08,549 --> 01:05:06,720 is a stable notion of truth 1846 01:05:10,870 --> 01:05:08,559 that is stateless 1847 01:05:13,430 --> 01:05:10,880 if you accept that truth is not 1848 01:05:15,349 --> 01:05:13,440 necessarily a stable value and you look 1849 01:05:16,470 --> 01:05:15,359 at the sentence then as long as you look 1850 01:05:18,950 --> 01:05:16,480 at it 1851 01:05:20,630 --> 01:05:18,960 the truth value will fluctuate 1852 01:05:22,950 --> 01:05:20,640 because the assumption that the sentence 1853 01:05:25,349 --> 01:05:22,960 is true will lead to the sentence being 1854 01:05:27,190 --> 01:05:25,359 false and vice versa so suddenly you 1855 01:05:29,349 --> 01:05:27,200 have no longer a stable truth predicate 1856 01:05:30,870 --> 01:05:29,359 and it just means that the property of 1857 01:05:32,870 --> 01:05:30,880 the languages in which you can actually 1858 01:05:34,789 --> 01:05:32,880 deal with truth and assign it is that 1859 01:05:37,990 --> 01:05:34,799 under some circumstances the truth 1860 01:05:39,829 --> 01:05:38,000 predicate will not be stable 1861 01:05:41,109 --> 01:05:39,839 and it's fine there's nothing wrong with 1862 01:05:43,190 --> 01:05:41,119 that 1863 01:05:45,510 --> 01:05:43,200 and uh this same thing applies to the 1864 01:05:47,670 --> 01:05:45,520 entities problem that um 1865 01:05:49,589 --> 01:05:47,680 turing was dealing with when it came to 1866 01:05:51,190 --> 01:05:49,599 the halting problem we defined 1867 01:05:52,789 --> 01:05:51,200 originally the turing machine in such a 1868 01:05:54,069 --> 01:05:52,799 way that we could translate stateless 1869 01:05:55,990 --> 01:05:54,079 mathematics 1870 01:05:57,670 --> 01:05:56,000 into algorithms 1871 01:06:00,710 --> 01:05:57,680 and this might require that you have to 1872 01:06:02,470 --> 01:06:00,720 go through an infinite sequence of steps 1873 01:06:04,230 --> 01:06:02,480 and if you make this assumption that you 1874 01:06:05,670 --> 01:06:04,240 sometimes in order to get to truth you 1875 01:06:06,630 --> 01:06:05,680 have to go to an infinite sequence of 1876 01:06:09,589 --> 01:06:06,640 steps 1877 01:06:11,750 --> 01:06:09,599 you run into contradictions 1878 01:06:13,190 --> 01:06:11,760 so you might use an unbounded sequence 1879 01:06:14,789 --> 01:06:13,200 of steps that gives you continuously 1880 01:06:16,630 --> 01:06:14,799 results that's fine 1881 01:06:18,630 --> 01:06:16,640 but you cannot accept that anything 1882 01:06:20,230 --> 01:06:18,640 exists in any kind of universe that has 1883 01:06:21,829 --> 01:06:20,240 caused a structure 1884 01:06:23,990 --> 01:06:21,839 that is going to produce your solution 1885 01:06:25,029 --> 01:06:24,000 to the heartache problem that is which 1886 01:06:26,470 --> 01:06:25,039 would give you back stateless 1887 01:06:28,309 --> 01:06:26,480 mathematics 1888 01:06:29,510 --> 01:06:28,319 so basically what good and turing have 1889 01:06:33,029 --> 01:06:29,520 shown is 1890 01:06:34,710 --> 01:06:33,039 that stateless mathematics doesn't work 1891 01:06:36,390 --> 01:06:34,720 and when we look back at the history of 1892 01:06:37,910 --> 01:06:36,400 mathematics mathematicians have never 1893 01:06:40,230 --> 01:06:37,920 used stateless mathematics they only 1894 01:06:41,670 --> 01:06:40,240 pretended to whenever they actually 1895 01:06:44,630 --> 01:06:41,680 wanted to compute something with 1896 01:06:47,109 --> 01:06:44,640 mathematics they under the hood use 1897 01:06:48,950 --> 01:06:47,119 stateful descriptions they never took in 1898 01:06:50,230 --> 01:06:48,960 infinitely many arguments and performed 1899 01:06:53,029 --> 01:06:50,240 infinitely many 1900 01:06:55,349 --> 01:06:53,039 operations on them and the intuition 1901 01:06:57,270 --> 01:06:55,359 that stateless mathematics makes sense 1902 01:06:59,430 --> 01:06:57,280 is because we had this intuition that 1903 01:07:01,829 --> 01:06:59,440 continuity that space and time in a 1904 01:07:03,270 --> 01:07:01,839 continuous fashion exist 1905 01:07:05,589 --> 01:07:03,280 why do we have this information well 1906 01:07:07,270 --> 01:07:05,599 that's pretty easy to answer right the 1907 01:07:08,630 --> 01:07:07,280 number of things that we interact with 1908 01:07:10,390 --> 01:07:08,640 if we zoom in we find that they are 1909 01:07:13,990 --> 01:07:10,400 discrete although observations have a 1910 01:07:16,069 --> 01:07:14,000 discrete resolution in time and in space 1911 01:07:16,950 --> 01:07:16,079 all our knowledge that we store about 1912 01:07:19,750 --> 01:07:16,960 these 1913 01:07:21,910 --> 01:07:19,760 observables is has a discrete 1914 01:07:22,710 --> 01:07:21,920 number of bits that we can assign to 1915 01:07:24,870 --> 01:07:22,720 them 1916 01:07:26,549 --> 01:07:24,880 there is only finite number of 1917 01:07:28,390 --> 01:07:26,559 information that we can access and that 1918 01:07:30,390 --> 01:07:28,400 we can deal with as an observer that is 1919 01:07:33,029 --> 01:07:30,400 embedded in this universe so everything 1920 01:07:35,510 --> 01:07:33,039 was discrete to begin with but it's too 1921 01:07:40,950 --> 01:07:35,520 many parts to count 1922 01:07:43,990 --> 01:07:40,960 the inside that number of atoms that you 1923 01:07:45,670 --> 01:07:44,000 are in an ocean is a finite bounded 1924 01:07:47,990 --> 01:07:45,680 number it doesn't help you at all 1925 01:07:49,829 --> 01:07:48,000 because it's still almost infinite from 1926 01:07:51,190 --> 01:07:49,839 the perspective of an observer so when 1927 01:07:52,950 --> 01:07:51,200 you want to describe what the ocean is 1928 01:07:55,670 --> 01:07:52,960 doing it doesn't help to count the 1929 01:07:57,990 --> 01:07:55,680 molecules in it and to assign locations 1930 01:08:00,150 --> 01:07:58,000 to them and uh what are the interactions 1931 01:08:01,990 --> 01:08:00,160 doesn't work there is too much 1932 01:08:04,069 --> 01:08:02,000 so when you look at the dynamics too of 1933 01:08:06,150 --> 01:08:04,079 too many parts to count you're looking 1934 01:08:08,710 --> 01:08:06,160 for operations that converge in the 1935 01:08:11,430 --> 01:08:08,720 limit which means they behave quite 1936 01:08:14,870 --> 01:08:11,440 similar whether you're using a trillion 1937 01:08:17,349 --> 01:08:14,880 or 10 trillion or gazillion particles 1938 01:08:19,749 --> 01:08:17,359 right once you have these operators that 1939 01:08:21,430 --> 01:08:19,759 give you the same dynamics under all 1940 01:08:24,149 --> 01:08:21,440 circumstances when you take more and 1941 01:08:25,749 --> 01:08:24,159 more elements to them this this this 1942 01:08:27,510 --> 01:08:25,759 part of mathematics that describes the 1943 01:08:29,430 --> 01:08:27,520 convergent operators 1944 01:08:31,430 --> 01:08:29,440 that's geometry 1945 01:08:33,510 --> 01:08:31,440 and some of geometry is uncomputable so 1946 01:08:35,669 --> 01:08:33,520 you can only approximate it 1947 01:08:37,349 --> 01:08:35,679 but our brain has discovered geometry to 1948 01:08:38,390 --> 01:08:37,359 deal with the world of too many parts to 1949 01:08:40,070 --> 01:08:38,400 count 1950 01:08:41,910 --> 01:08:40,080 and this plays into what you are 1951 01:08:43,910 --> 01:08:41,920 pointing out when you say that 1952 01:08:46,149 --> 01:08:43,920 our perception doesn't give us reality 1953 01:08:46,950 --> 01:08:46,159 it gives us something that we can work 1954 01:08:48,870 --> 01:08:46,960 with 1955 01:08:50,950 --> 01:08:48,880 of course the reality that we are 1956 01:08:52,950 --> 01:08:50,960 embedded in has too many parts to count 1957 01:08:54,470 --> 01:08:52,960 we need a different reality we need one 1958 01:08:55,910 --> 01:08:54,480 that you can actually handle even if 1959 01:08:57,349 --> 01:08:55,920 it's not computable it can only be 1960 01:09:00,229 --> 01:08:57,359 approximated 1961 01:09:02,229 --> 01:09:00,239 and this experimental reality is a very 1962 01:09:04,390 --> 01:09:02,239 coarse simplification it's about as 1963 01:09:06,070 --> 01:09:04,400 coarse as a gaming engine is when you 1964 01:09:07,590 --> 01:09:06,080 play computer game as compared to real 1965 01:09:09,590 --> 01:09:07,600 physics 1966 01:09:11,030 --> 01:09:09,600 it's not much better than that in many 1967 01:09:13,110 --> 01:09:11,040 ways it's even worse which you can 1968 01:09:15,430 --> 01:09:13,120 verify if you put yourself into a lucid 1969 01:09:17,349 --> 01:09:15,440 dream and look at the fidelity of what 1970 01:09:18,950 --> 01:09:17,359 your brain is able to generate light 1971 01:09:20,709 --> 01:09:18,960 switches will usually not work you will 1972 01:09:22,709 --> 01:09:20,719 not be able to read the same stuff twice 1973 01:09:24,709 --> 01:09:22,719 on the same page and you imagine it and 1974 01:09:27,030 --> 01:09:24,719 so on there's only so many bits in your 1975 01:09:29,269 --> 01:09:27,040 working memory the fidelity of what your 1976 01:09:30,470 --> 01:09:29,279 perceptual system can track and imagine 1977 01:09:32,630 --> 01:09:30,480 is limited 1978 01:09:33,829 --> 01:09:32,640 it's relatively easy to overcome that 1979 01:09:35,269 --> 01:09:33,839 don't really know what the number of 1980 01:09:37,669 --> 01:09:35,279 bits in my working memory is and that 1981 01:09:38,390 --> 01:09:37,679 would be very curious to find out 1982 01:09:40,070 --> 01:09:38,400 but 1983 01:09:42,149 --> 01:09:40,080 it's not as big as i thought when i was 1984 01:09:44,309 --> 01:09:42,159 a child it's not infinite it's not 1985 01:09:45,990 --> 01:09:44,319 unlimited perception of infinity is 1986 01:09:49,510 --> 01:09:46,000 super easy to generate when your mind is 1987 01:09:52,470 --> 01:09:49,520 very finite super easy to overwhelm my 1988 01:09:53,349 --> 01:09:52,480 finite resolution mind 1989 01:09:55,350 --> 01:09:53,359 so 1990 01:09:57,189 --> 01:09:55,360 this deep thing that good is 1991 01:09:59,189 --> 01:09:57,199 misunderstood that google has not 1992 01:10:02,709 --> 01:09:59,199 discovered that mathematics cannot reach 1993 01:10:05,030 --> 01:10:02,719 truth but that truth is no more than the 1994 01:10:06,709 --> 01:10:05,040 result of a sequence of steps that is 1995 01:10:09,750 --> 01:10:06,719 compressing a statement to axioms 1996 01:10:11,510 --> 01:10:09,760 losslessly and doesn't go beyond that 1997 01:10:13,350 --> 01:10:11,520 that was the deep insight and it's one 1998 01:10:15,510 --> 01:10:13,360 that basically has not percolated in 1999 01:10:17,350 --> 01:10:15,520 most areas of philosophy and even 2000 01:10:18,470 --> 01:10:17,360 physics yet because the physicists have 2001 01:10:20,790 --> 01:10:18,480 checked out the code base for 2002 01:10:22,870 --> 01:10:20,800 mathematics before that result was 2003 01:10:25,270 --> 01:10:22,880 obtained and understood so basically 2004 01:10:27,350 --> 01:10:25,280 that we need to switch from continuous 2005 01:10:29,590 --> 01:10:27,360 stateless mathematics to constructive 2006 01:10:30,709 --> 01:10:29,600 mathematics that was not understood back 2007 01:10:33,189 --> 01:10:30,719 then 2008 01:10:35,750 --> 01:10:33,199 and it needs to be understood now 2009 01:10:38,790 --> 01:10:35,760 so uh basically my 2010 01:10:40,790 --> 01:10:38,800 uh question to uh somebody like donald 2011 01:10:42,070 --> 01:10:40,800 would not be so much how to explain the 2012 01:10:45,110 --> 01:10:42,080 spectral gap room because i think 2013 01:10:47,669 --> 01:10:45,120 problems of this case of this type are 2014 01:10:49,669 --> 01:10:47,679 with the result of using continuous 2015 01:10:51,189 --> 01:10:49,679 notions of space-time 2016 01:10:53,270 --> 01:10:51,199 and infinities 2017 01:10:54,950 --> 01:10:53,280 and assuming them as given so it's a 2018 01:10:55,669 --> 01:10:54,960 statement about certain theories that 2019 01:10:58,070 --> 01:10:55,679 are 2020 01:11:00,149 --> 01:10:58,080 expressed in the language that has 2021 01:11:01,910 --> 01:11:00,159 inconsistencies in this language with 2022 01:11:03,990 --> 01:11:01,920 these inconsistencies you get to the 2023 01:11:05,590 --> 01:11:04,000 point that you cannot get certain 2024 01:11:07,990 --> 01:11:05,600 results there's also an issue of 2025 01:11:09,750 --> 01:11:08,000 computational irreducibility which is 2026 01:11:12,470 --> 01:11:09,760 difficult to understand in stateless 2027 01:11:14,550 --> 01:11:12,480 mathematics computational irreducibility 2028 01:11:16,550 --> 01:11:14,560 is a property of a system 2029 01:11:18,149 --> 01:11:16,560 that means that you cannot obtain the 2030 01:11:21,189 --> 01:11:18,159 state of the system 2031 01:11:24,229 --> 01:11:21,199 without running the system to that point 2032 01:11:27,030 --> 01:11:24,239 there is no way to predict the system 2033 01:11:28,630 --> 01:11:27,040 except by taking the system with all its 2034 01:11:30,229 --> 01:11:28,640 detail and fidelity 2035 01:11:32,470 --> 01:11:30,239 and going through the sequence of steps 2036 01:11:34,790 --> 01:11:32,480 so you cannot predict what the universe 2037 01:11:36,310 --> 01:11:34,800 is going to do when the universe is 2038 01:11:38,229 --> 01:11:36,320 computationally reusable you're going to 2039 01:11:39,830 --> 01:11:38,239 predict some things but not all of 2040 01:11:41,669 --> 01:11:39,840 things and these some things only with a 2041 01:11:42,630 --> 01:11:41,679 certain degree of certainty because you 2042 01:11:44,870 --> 01:11:42,640 can 2043 01:11:46,550 --> 01:11:44,880 often not insulate them from the parts 2044 01:11:48,950 --> 01:11:46,560 that you cannot predict because they are 2045 01:11:52,149 --> 01:11:48,960 computationally irreducible 2046 01:11:54,390 --> 01:11:52,159 in a universe that is played out and 2047 01:11:56,229 --> 01:11:54,400 implemented in a stateless language that 2048 01:11:58,229 --> 01:11:56,239 is a confusing property 2049 01:11:59,830 --> 01:11:58,239 because the cost of computation doesn't 2050 01:12:02,390 --> 01:11:59,840 play a role when you are in a stateless 2051 01:12:03,830 --> 01:12:02,400 universe in a stateful universe the 2052 01:12:06,070 --> 01:12:03,840 number of state transitions that your 2053 01:12:07,910 --> 01:12:06,080 model needs to make plays a suddenly a 2054 01:12:09,030 --> 01:12:07,920 certain role and 2055 01:12:11,590 --> 01:12:09,040 this 2056 01:12:13,590 --> 01:12:11,600 specter of computational irreducibly uh 2057 01:12:15,830 --> 01:12:13,600 dooms large it means that you cannot 2058 01:12:16,870 --> 01:12:15,840 compute things for practical reasons 2059 01:12:18,310 --> 01:12:16,880 because you don't have enough 2060 01:12:20,790 --> 01:12:18,320 information yet and you cannot have 2061 01:12:23,270 --> 01:12:20,800 information to make that prediction but 2062 01:12:25,350 --> 01:12:23,280 there is no deep miracle uh that is not 2063 01:12:27,910 --> 01:12:25,360 caused by the language when you discover 2064 01:12:30,229 --> 01:12:27,920 that the spectral gap problem is uh 2065 01:12:32,149 --> 01:12:30,239 incomputable so my question to donald 2066 01:12:34,070 --> 01:12:32,159 would be if you think that there is a 2067 01:12:35,350 --> 01:12:34,080 limit to computation that you can see 2068 01:12:36,870 --> 01:12:35,360 and previously 2069 01:12:39,110 --> 01:12:36,880 you would still do something and make 2070 01:12:40,870 --> 01:12:39,120 statements what is it that you use to 2071 01:12:42,149 --> 01:12:40,880 make statements beyond the limits of 2072 01:12:44,709 --> 01:12:42,159 computation 2073 01:12:46,790 --> 01:12:44,719 what parts of uh of your mind are you 2074 01:12:48,630 --> 01:12:46,800 drawing from when you make statements 2075 01:12:51,750 --> 01:12:48,640 beyond what a computational system can 2076 01:12:55,189 --> 01:12:53,270 right so 2077 01:12:57,270 --> 01:12:55,199 so well one way of 2078 01:12:59,270 --> 01:12:57,280 trying to focus this would be to 2079 01:13:00,229 --> 01:12:59,280 talk about the integers versus the real 2080 01:13:03,270 --> 01:13:00,239 numbers 2081 01:13:08,550 --> 01:13:03,280 so 2082 01:13:12,149 --> 01:13:10,470 do you think that 2083 01:13:13,990 --> 01:13:12,159 so so for example if we 2084 01:13:16,950 --> 01:13:14,000 look at just the set of all functions 2085 01:13:18,790 --> 01:13:16,960 from the integers to the integers right 2086 01:13:22,229 --> 01:13:18,800 it's trivial to show that that's not 2087 01:13:25,350 --> 01:13:23,830 so 2088 01:13:27,030 --> 01:13:25,360 yeah touring showed that the set of 2089 01:13:29,270 --> 01:13:27,040 computable functions is countable the 2090 01:13:31,030 --> 01:13:29,280 set of turing machines is countable 2091 01:13:35,030 --> 01:13:31,040 so 2092 01:13:36,950 --> 01:13:35,040 things very very concrete 2093 01:13:39,270 --> 01:13:36,960 the the set of all functions from the 2094 01:13:41,350 --> 01:13:39,280 integers to the integers isn't countable 2095 01:13:43,669 --> 01:13:41,360 the turing computable functions are 2096 01:13:45,350 --> 01:13:43,679 countable and so there's a sense in 2097 01:13:46,709 --> 01:13:45,360 which the turing computable functions 2098 01:13:48,709 --> 01:13:46,719 have measure zero 2099 01:13:51,030 --> 01:13:48,719 they have their probability zero on the 2100 01:13:53,990 --> 01:13:51,040 set of all of all functions 2101 01:13:55,669 --> 01:13:54,000 so do we want to conclude 2102 01:13:57,350 --> 01:13:55,679 from from this computationalist point of 2103 01:13:58,950 --> 01:13:57,360 view that 2104 01:14:01,590 --> 01:13:58,960 that all those other functions don't 2105 01:14:03,110 --> 01:14:01,600 exist with that that we're sort of 2106 01:14:06,390 --> 01:14:03,120 when i so you you're saying those 2107 01:14:07,590 --> 01:14:06,400 functions so so real numbers don't exist 2108 01:14:09,590 --> 01:14:07,600 real numbers 2109 01:14:11,110 --> 01:14:09,600 yes for something to exist it has to uh 2110 01:14:12,709 --> 01:14:11,120 be implemented 2111 01:14:14,149 --> 01:14:12,719 if it's something it's not implemented 2112 01:14:15,990 --> 01:14:14,159 anywhere it doesn't make sense to claim 2113 01:14:18,070 --> 01:14:16,000 that it exists i think it's a confusion 2114 01:14:19,830 --> 01:14:18,080 of the notion of existence to say that 2115 01:14:22,550 --> 01:14:19,840 something that is not implemented and is 2116 01:14:24,470 --> 01:14:22,560 not implementable could exist 2117 01:14:26,630 --> 01:14:24,480 the things that produce patterns that we 2118 01:14:28,550 --> 01:14:26,640 observe in order to exist and need to be 2119 01:14:30,550 --> 01:14:28,560 implemented right 2120 01:14:32,149 --> 01:14:30,560 so uh you could say does the financial 2121 01:14:34,149 --> 01:14:32,159 system exist well it exists to the 2122 01:14:35,990 --> 01:14:34,159 degree that it's implemented there are 2123 01:14:37,270 --> 01:14:36,000 some boundaries very projected and it's 2124 01:14:39,430 --> 01:14:37,280 not actually implemented where it 2125 01:14:41,669 --> 01:14:39,440 doesn't actually exist only in some 2126 01:14:43,669 --> 01:14:41,679 course approximation but by and large 2127 01:14:46,630 --> 01:14:43,679 something exists right some causal 2128 01:14:48,310 --> 01:14:46,640 structure is implemented here the set of 2129 01:14:50,229 --> 01:14:48,320 all the functions between the integers 2130 01:14:51,510 --> 01:14:50,239 is not implementable therefore it 2131 01:14:53,990 --> 01:14:51,520 doesn't exist 2132 01:14:56,310 --> 01:14:54,000 it's something that you can specify and 2133 01:14:58,470 --> 01:14:56,320 this difference between specification 2134 01:15:00,709 --> 01:14:58,480 and existence is something that is very 2135 01:15:02,310 --> 01:15:00,719 obvious to a computer scientist 2136 01:15:03,990 --> 01:15:02,320 and sometimes not obvious to a 2137 01:15:05,830 --> 01:15:04,000 traditional mathematician 2138 01:15:08,630 --> 01:15:05,840 there is stuff that you can specify that 2139 01:15:09,990 --> 01:15:08,640 makes no sense it is only specifiable in 2140 01:15:13,030 --> 01:15:10,000 your language but that's because your 2141 01:15:14,950 --> 01:15:13,040 language is much more permissible than 2142 01:15:17,110 --> 01:15:14,960 the set of things that can be uh can 2143 01:15:19,910 --> 01:15:17,120 exist and computation is less 2144 01:15:22,229 --> 01:15:19,920 permissible computation only permits you 2145 01:15:23,830 --> 01:15:22,239 to build things that can actually exist 2146 01:15:25,510 --> 01:15:23,840 if you can build things that cannot 2147 01:15:26,630 --> 01:15:25,520 exist it's a problem of your language in 2148 01:15:29,669 --> 01:15:26,640 which you're building things it's not a 2149 01:15:31,750 --> 01:15:29,679 problem of reality just confused 2150 01:15:34,390 --> 01:15:31,760 i have a comment this one's from 2151 01:15:36,790 --> 01:15:34,400 professor edward lee of berkeley and it 2152 01:15:38,390 --> 01:15:36,800 may provide some insight and you both 2153 01:15:39,990 --> 01:15:38,400 can tell us your thoughts on this so 2154 01:15:41,990 --> 01:15:40,000 this is from professor edward lee of 2155 01:15:43,750 --> 01:15:42,000 berkeley this question is a major theme 2156 01:15:46,310 --> 01:15:43,760 in the second half of my book plato and 2157 01:15:47,910 --> 01:15:46,320 the nerd utms so universal turing 2158 01:15:49,830 --> 01:15:47,920 machines have the following properties 2159 01:15:51,830 --> 01:15:49,840 number one their operation is a sequence 2160 01:15:53,350 --> 01:15:51,840 of discrete steps number two the data 2161 01:15:55,910 --> 01:15:53,360 comes from a countable set number three 2162 01:15:58,070 --> 01:15:55,920 that sequence terminates it is a huge 2163 01:16:01,030 --> 01:15:58,080 leap of faith to assume that physical 2164 01:16:03,669 --> 01:16:01,040 processes have any of these constraints 2165 01:16:06,070 --> 01:16:03,679 i show in plato and the nerd that the 2166 01:16:07,510 --> 01:16:06,080 hypothesis that physical processes all 2167 01:16:11,030 --> 01:16:07,520 have these properties is actually 2168 01:16:12,149 --> 01:16:11,040 untestable i remember earlier yosha you 2169 01:16:14,149 --> 01:16:12,159 mentioned that 2170 01:16:15,270 --> 01:16:14,159 if it's untestable and you can't provide 2171 01:16:16,470 --> 01:16:15,280 evidence for it then perhaps it 2172 01:16:18,310 --> 01:16:16,480 shouldn't be talked about so this 2173 01:16:19,830 --> 01:16:18,320 reminded me of this and he says in 2174 01:16:21,910 --> 01:16:19,840 brackets this follows from an 2175 01:16:23,750 --> 01:16:21,920 information theorem due to clochen and 2176 01:16:25,990 --> 01:16:23,760 known as the channel capacity theorem 2177 01:16:28,229 --> 01:16:26,000 the converse hypothesis that the 2178 01:16:31,030 --> 01:16:28,239 physical world is not so constrained is 2179 01:16:33,350 --> 01:16:31,040 also untestable by experiment but i 2180 01:16:35,430 --> 01:16:33,360 argue in plato and the nerd that the 2181 01:16:37,350 --> 01:16:35,440 converse hypothesis leads to simpler 2182 01:16:39,270 --> 01:16:37,360 models of the universe and therefore is 2183 01:16:41,030 --> 01:16:39,280 a better choice by outcomes razor my 2184 01:16:42,870 --> 01:16:41,040 claim is that universal turing machines 2185 01:16:45,030 --> 01:16:42,880 is realized on today's computers are 2186 01:16:47,189 --> 01:16:45,040 simulations quote-unquote of a process 2187 01:16:48,870 --> 01:16:47,199 that is fundamentally non-algorithmic so 2188 01:16:50,310 --> 01:16:48,880 i just want to place that out there and 2189 01:16:54,149 --> 01:16:50,320 perhaps you can use that as a jumping 2190 01:16:55,669 --> 01:16:54,159 off board donald and then yosha 2191 01:16:57,110 --> 01:16:55,679 very interesting i'll want to to read 2192 01:16:59,590 --> 01:16:57,120 that book and make sure i understand 2193 01:17:01,590 --> 01:16:59,600 what uh professor lee is saying that's 2194 01:17:02,550 --> 01:17:01,600 quite interesting so plato and the nerd 2195 01:17:04,070 --> 01:17:02,560 um 2196 01:17:06,390 --> 01:17:04,080 i'll be interviewing edward at some 2197 01:17:08,390 --> 01:17:06,400 point in the next few weeks as well 2198 01:17:09,830 --> 01:17:08,400 oh oh very good yeah that's that's 2199 01:17:10,870 --> 01:17:09,840 that's really quick because these are 2200 01:17:13,030 --> 01:17:10,880 very very 2201 01:17:14,709 --> 01:17:13,040 deep issues it seems to me that this 2202 01:17:16,390 --> 01:17:14,719 also interacts with what the physicists 2203 01:17:18,870 --> 01:17:16,400 are telling us that there is 2204 01:17:22,870 --> 01:17:18,880 no time fundamentally 2205 01:17:25,750 --> 01:17:22,880 so so if if time is not fundamental then 2206 01:17:27,990 --> 01:17:25,760 these computational issues where there 2207 01:17:32,950 --> 01:17:29,669 fundamental limits to what can be 2208 01:17:37,030 --> 01:17:32,960 computed because we're assuming time 2209 01:17:39,189 --> 01:17:37,040 a sequence of so in in computer 2210 01:17:41,990 --> 01:17:39,199 simulations computer algorithms 2211 01:17:44,149 --> 01:17:42,000 we're assuming 2212 01:17:45,910 --> 01:17:44,159 a sequence in time of computations that 2213 01:17:47,830 --> 01:17:45,920 can be and the kinds of limits that 2214 01:17:50,550 --> 01:17:47,840 yoshi's talking about 2215 01:17:52,950 --> 01:17:50,560 seems to me um 2216 01:17:55,430 --> 01:17:52,960 are a consequence of assuming time to be 2217 01:17:57,830 --> 01:17:55,440 fundamental and if we have to go to a 2218 01:18:00,310 --> 01:17:57,840 physics in which time is not fundamental 2219 01:18:01,590 --> 01:18:00,320 then that that places this whole our 2220 01:18:03,030 --> 01:18:01,600 whole conversation in a completely 2221 01:18:06,070 --> 01:18:03,040 different context 2222 01:18:09,669 --> 01:18:08,470 what we may be pointing to is 2223 01:18:12,310 --> 01:18:09,679 time has 2224 01:18:14,709 --> 01:18:12,320 been a very useful and helpful thing for 2225 01:18:16,390 --> 01:18:14,719 physics for several centuries and and 2226 01:18:17,590 --> 01:18:16,400 now the hard work that we have to do is 2227 01:18:19,270 --> 01:18:17,600 to understand 2228 01:18:21,110 --> 01:18:19,280 how to go beyond the notion of time and 2229 01:18:22,790 --> 01:18:21,120 when we go beyond the notion of time 2230 01:18:23,750 --> 01:18:22,800 well the kind of the discussion we're 2231 01:18:27,030 --> 01:18:23,760 having 2232 01:18:28,070 --> 01:18:27,040 right now we fundamentally revised um 2233 01:18:30,470 --> 01:18:28,080 the computational versus 2234 01:18:31,350 --> 01:18:30,480 non-computational notions we may have to 2235 01:18:34,070 --> 01:18:31,360 really 2236 01:18:35,750 --> 01:18:34,080 revise how our whole conversation here 2237 01:18:39,189 --> 01:18:35,760 is going i'd be very interested what 2238 01:18:43,990 --> 01:18:43,030 thank you also thanks edward lee for 2239 01:18:45,189 --> 01:18:44,000 your 2240 01:18:45,990 --> 01:18:45,199 argument 2241 01:19:07,510 --> 01:18:46,000 i 2242 01:19:09,669 --> 01:19:07,520 steps 2243 01:19:12,310 --> 01:19:09,679 may be a mistake in the sense in which 2244 01:19:15,510 --> 01:19:12,320 two machines were originally defined 2245 01:19:17,510 --> 01:19:15,520 so basically a computer that can be 2246 01:19:18,630 --> 01:19:17,520 built is not a turing machine in this 2247 01:19:21,510 --> 01:19:18,640 sense but 2248 01:19:24,470 --> 01:19:21,520 it's always a finite state machine 2249 01:19:27,669 --> 01:19:24,480 and in a finite state machine you can 2250 01:19:29,750 --> 01:19:27,679 have a number of steps uh sequence of 2251 01:19:31,590 --> 01:19:29,760 steps that is unbounded that doesn't 2252 01:19:33,910 --> 01:19:31,600 stop and that gives you more and more 2253 01:19:36,630 --> 01:19:33,920 digits of pi while you're looking at in 2254 01:19:38,470 --> 01:19:36,640 a sense it doesn't come to a conclusion 2255 01:19:40,630 --> 01:19:38,480 if you want to compute physics but it's 2256 01:19:42,470 --> 01:19:40,640 not the problem to build a computer that 2257 01:19:43,830 --> 01:19:42,480 as long as it runs gives you more digits 2258 01:19:45,910 --> 01:19:43,840 of pi 2259 01:19:47,669 --> 01:19:45,920 and so i think from a formal perspective 2260 01:19:49,669 --> 01:19:47,679 or from an uh it doesn't make much of a 2261 01:19:51,189 --> 01:19:49,679 difference because you can easily fix it 2262 01:19:52,870 --> 01:19:51,199 but it's important 2263 01:19:54,390 --> 01:19:52,880 if you think about your intuitions about 2264 01:19:57,830 --> 01:19:54,400 how things work or the proofs that you 2265 01:19:59,990 --> 01:19:57,840 make in other contexts that the value of 2266 01:20:02,229 --> 01:20:00,000 computation doesn't hinge on there being 2267 01:20:04,229 --> 01:20:02,239 a finite number of steps until a 2268 01:20:05,750 --> 01:20:04,239 computation that is going to give you a 2269 01:20:09,110 --> 01:20:05,760 result that was formulated classical 2270 01:20:10,950 --> 01:20:09,120 mathematics terminates but that it means 2271 01:20:14,470 --> 01:20:10,960 that everything that you get is the 2272 01:20:16,629 --> 01:20:14,480 result of finite interactions 2273 01:20:18,870 --> 01:20:16,639 and if you assume that infinite 2274 01:20:20,629 --> 01:20:18,880 interactions are possible you run into 2275 01:20:22,470 --> 01:20:20,639 the difficulties that girdle and turing 2276 01:20:24,390 --> 01:20:22,480 has have discovered which means that 2277 01:20:25,910 --> 01:20:24,400 your theories no longer work they no 2278 01:20:29,350 --> 01:20:25,920 longer make sense 2279 01:20:30,950 --> 01:20:29,360 and uh different from edward and maybe 2280 01:20:32,870 --> 01:20:30,960 doing him in justice here i haven't read 2281 01:20:33,910 --> 01:20:32,880 this book um 2282 01:20:36,550 --> 01:20:33,920 so 2283 01:20:38,229 --> 01:20:36,560 i would say that it's much more elegant 2284 01:20:39,669 --> 01:20:38,239 from the perspective how comes razer to 2285 01:20:41,270 --> 01:20:39,679 describe reality in a language that 2286 01:20:43,030 --> 01:20:41,280 doesn't break 2287 01:20:45,189 --> 01:20:43,040 because if your language breaks and you 2288 01:20:46,470 --> 01:20:45,199 still try to make a 2289 01:20:48,870 --> 01:20:46,480 model of reality it's going to be 2290 01:20:51,030 --> 01:20:48,880 arbitrarily expensive it doesn't work 2291 01:20:53,270 --> 01:20:51,040 you have to find a language that works 2292 01:20:55,590 --> 01:20:53,280 so if we find that the languages in 2293 01:20:57,510 --> 01:20:55,600 which we can describe reality have to be 2294 01:20:59,910 --> 01:20:57,520 computational languages because the 2295 01:21:01,590 --> 01:20:59,920 others lead into contradictions then we 2296 01:21:03,189 --> 01:21:01,600 have to use the computational languages 2297 01:21:05,830 --> 01:21:03,199 that's the situation that i find myself 2298 01:21:07,510 --> 01:21:05,840 to be in this doesn't mean that i can 2299 01:21:09,110 --> 01:21:07,520 know what physics is like it just means 2300 01:21:11,270 --> 01:21:09,120 that all the physics that i can talk 2301 01:21:14,390 --> 01:21:11,280 about without my language breaking 2302 01:21:17,030 --> 01:21:14,400 has to play out in this way 2303 01:21:19,830 --> 01:21:17,040 and the notion of what is time so coming 2304 01:21:22,070 --> 01:21:19,840 back to donald is uh is very important 2305 01:21:24,709 --> 01:21:22,080 that there are two notions of time one 2306 01:21:27,189 --> 01:21:24,719 is this intuitive notion that we have as 2307 01:21:29,669 --> 01:21:27,199 human beings which is 2308 01:21:31,189 --> 01:21:29,679 basically this newtonian time this uh 2309 01:21:32,790 --> 01:21:31,199 time which uh 2310 01:21:34,629 --> 01:21:32,800 where clocks run the same speed 2311 01:21:36,709 --> 01:21:34,639 everywhere and so on and that describes 2312 01:21:39,990 --> 01:21:36,719 the transition of the universe from the 2313 01:21:40,790 --> 01:21:40,000 past into the future via the present 2314 01:21:42,950 --> 01:21:40,800 and 2315 01:21:44,950 --> 01:21:42,960 this notion of time is somewhat similar 2316 01:21:47,030 --> 01:21:44,960 to the notion of the straight state 2317 01:21:48,470 --> 01:21:47,040 transition in your computer 2318 01:21:50,229 --> 01:21:48,480 except that the state transition in a 2319 01:21:51,910 --> 01:21:50,239 computer has some kind of global clock 2320 01:21:54,550 --> 01:21:51,920 where everything in the computer goes 2321 01:21:56,629 --> 01:21:54,560 from state to state all at once and goes 2322 01:21:58,390 --> 01:21:56,639 progresses to the next step but what we 2323 01:22:01,189 --> 01:21:58,400 see in our universe that it only makes 2324 01:22:02,629 --> 01:22:01,199 sense if we assume that it's dynamic 2325 01:22:04,709 --> 01:22:02,639 if the universe would just be a 2326 01:22:06,709 --> 01:22:04,719 decoupled sequence of states without a 2327 01:22:08,470 --> 01:22:06,719 transition function there would not be 2328 01:22:10,790 --> 01:22:08,480 any law that we can discover there is 2329 01:22:12,390 --> 01:22:10,800 nothing that we can control organisms 2330 01:22:14,229 --> 01:22:12,400 would not exist in the way in which they 2331 01:22:16,229 --> 01:22:14,239 do so the 2332 01:22:17,830 --> 01:22:16,239 from the observations that we make we 2333 01:22:19,830 --> 01:22:17,840 have to assume that the transitions in 2334 01:22:21,990 --> 01:22:19,840 the universe are somehow fundamental 2335 01:22:24,470 --> 01:22:22,000 that the universe is moving 2336 01:22:25,990 --> 01:22:24,480 and state transitions seem to be crucial 2337 01:22:28,070 --> 01:22:26,000 in order to be able to understand the 2338 01:22:29,830 --> 01:22:28,080 universe that there is some notion of 2339 01:22:32,550 --> 01:22:29,840 transition and this notion of transition 2340 01:22:33,350 --> 01:22:32,560 is much more basic than time 2341 01:22:35,270 --> 01:22:33,360 and 2342 01:22:37,110 --> 01:22:35,280 the time that we are talking about when 2343 01:22:38,950 --> 01:22:37,120 we see that time is not fundamental in 2344 01:22:39,750 --> 01:22:38,960 the notion of space-time is relativistic 2345 01:22:43,750 --> 01:22:39,760 time 2346 01:22:45,510 --> 01:22:43,760 universe looks like to a relativistic 2347 01:22:47,590 --> 01:22:45,520 observer 2348 01:22:49,910 --> 01:22:47,600 and we can obtain relativistic time if 2349 01:22:52,390 --> 01:22:49,920 we understand that 2350 01:22:53,990 --> 01:22:52,400 what we perceive as time is basically 2351 01:22:55,990 --> 01:22:54,000 the speed of the clocks in our 2352 01:22:57,430 --> 01:22:56,000 environment 2353 01:23:00,390 --> 01:22:57,440 and the speed of the clocks that we 2354 01:23:02,470 --> 01:23:00,400 observe depend on our own speed 2355 01:23:05,030 --> 01:23:02,480 so if i move you through the universe 2356 01:23:06,870 --> 01:23:05,040 and you are a supervision pattern on the 2357 01:23:09,910 --> 01:23:06,880 structure of the universe imagine the 2358 01:23:12,790 --> 01:23:09,920 universe is something like an ocean 2359 01:23:15,590 --> 01:23:12,800 and the present is the crest of a 2360 01:23:16,470 --> 01:23:15,600 traveling wave through that ocean 2361 01:23:17,669 --> 01:23:16,480 and 2362 01:23:19,910 --> 01:23:17,679 there are 2363 01:23:21,510 --> 01:23:19,920 waves maybe in front and behind us but 2364 01:23:23,910 --> 01:23:21,520 they're not our future the past they're 2365 01:23:26,310 --> 01:23:23,920 different universes that just happen to 2366 01:23:28,229 --> 01:23:26,320 be a little more along a bit less along 2367 01:23:29,669 --> 01:23:28,239 the future and past would require you to 2368 01:23:30,950 --> 01:23:29,679 leave the crest of the wave and you 2369 01:23:32,629 --> 01:23:30,960 can't because you're always traveling 2370 01:23:35,189 --> 01:23:32,639 with the wave 2371 01:23:36,950 --> 01:23:35,199 so there is no way to leave that present 2372 01:23:39,189 --> 01:23:36,960 because only the present exists from the 2373 01:23:41,510 --> 01:23:39,199 perspective of that crest and you or me 2374 01:23:44,390 --> 01:23:41,520 we are vortices and scraped 2375 01:23:45,910 --> 01:23:44,400 on the crest of that traveling wave 2376 01:23:47,669 --> 01:23:45,920 and the 2377 01:23:49,590 --> 01:23:47,679 rotation that the vortex is doing when 2378 01:23:51,430 --> 01:23:49,600 it updates itself to observe the 2379 01:23:53,590 --> 01:23:51,440 universe to form a memory and so on and 2380 01:23:55,270 --> 01:23:53,600 to register its perceptions and so on 2381 01:23:57,189 --> 01:23:55,280 will depend on the speed in which this 2382 01:23:58,229 --> 01:23:57,199 vortex rotates 2383 01:24:00,950 --> 01:23:58,239 right 2384 01:24:03,030 --> 01:24:00,960 and so if the vortex is moving along 2385 01:24:05,430 --> 01:24:03,040 with the wave then the updates in the 2386 01:24:07,590 --> 01:24:05,440 vortex are a function of the movement in 2387 01:24:09,990 --> 01:24:07,600 the wave itself the basic parasitize on 2388 01:24:12,470 --> 01:24:10,000 the movement of the main wave 2389 01:24:14,149 --> 01:24:12,480 and you can not as this vortex traveling 2390 01:24:15,910 --> 01:24:14,159 with the wave ever leave the wave you 2391 01:24:18,390 --> 01:24:15,920 can move a little bit in this in the 2392 01:24:20,550 --> 01:24:18,400 wave to the left or to the right 2393 01:24:22,390 --> 01:24:20,560 that is moving to the left or the right 2394 01:24:25,189 --> 01:24:22,400 would be movement in space you cannot 2395 01:24:27,110 --> 01:24:25,199 move in time you just move this the time 2396 01:24:29,430 --> 01:24:27,120 right and the faster you move to the 2397 01:24:31,510 --> 01:24:29,440 left or to the right the less there will 2398 01:24:33,830 --> 01:24:31,520 be updates available for in turning your 2399 01:24:35,510 --> 01:24:33,840 internal state 2400 01:24:36,390 --> 01:24:35,520 so the fluctuations of the vortex 2401 01:24:38,870 --> 01:24:36,400 becomes 2402 01:24:40,550 --> 01:24:38,880 slower and slower the more the vortex 2403 01:24:42,470 --> 01:24:40,560 moves in space and this leads to 2404 01:24:43,669 --> 01:24:42,480 relativistic time it means that from the 2405 01:24:45,350 --> 01:24:43,679 perspective 2406 01:24:46,629 --> 01:24:45,360 of the vortex when it looks at its 2407 01:24:49,110 --> 01:24:46,639 environment the environment gets 2408 01:24:50,870 --> 01:24:49,120 distorted in time and space 2409 01:24:52,709 --> 01:24:50,880 so in this notion we realize why 2410 01:24:54,229 --> 01:24:52,719 something would look like to a vertex 2411 01:24:56,149 --> 01:24:54,239 that moves like this 2412 01:24:58,470 --> 01:24:56,159 like relativistic time and we understand 2413 01:25:00,390 --> 01:24:58,480 that the relativistic time from the 2414 01:25:02,070 --> 01:25:00,400 fundamental perspective how to make all 2415 01:25:04,070 --> 01:25:02,080 this happening how to build a system 2416 01:25:05,350 --> 01:25:04,080 that functions like this cannot be 2417 01:25:08,149 --> 01:25:05,360 fundamental 2418 01:25:09,830 --> 01:25:08,159 it's a result to the observer it will be 2419 01:25:11,830 --> 01:25:09,840 what the universe looks like to the 2420 01:25:13,350 --> 01:25:11,840 observer of the observer screens as we 2421 01:25:15,350 --> 01:25:13,360 always do 2422 01:25:17,750 --> 01:25:15,360 right but it is not fundamental but 2423 01:25:19,750 --> 01:25:17,760 fundamental are the state transitions 2424 01:25:22,229 --> 01:25:19,760 so what we need to do is basically 2425 01:25:24,470 --> 01:25:22,239 replace the physical this time that is 2426 01:25:25,990 --> 01:25:24,480 relativistic for good reason in the 2427 01:25:28,390 --> 01:25:26,000 frame of certain models by something 2428 01:25:30,470 --> 01:25:28,400 that is more fundamental and allows us 2429 01:25:33,750 --> 01:25:30,480 to derive the relativistic time and this 2430 01:25:38,149 --> 01:25:36,229 very very interesting there's some 2431 01:25:39,510 --> 01:25:38,159 in that spirit um or at least in that 2432 01:25:42,310 --> 01:25:39,520 kind of direction there's 2433 01:25:44,149 --> 01:25:42,320 work by marcus mueller and and philip 2434 01:25:46,950 --> 01:25:44,159 hone 2435 01:25:49,110 --> 01:25:46,960 and and then also some some more recent 2436 01:25:51,830 --> 01:25:49,120 work um 2437 01:25:53,030 --> 01:25:51,840 by fabio mercadi and um 2438 01:25:54,790 --> 01:25:53,040 and giovanni 2439 01:25:56,310 --> 01:25:54,800 emelina camilla 2440 01:25:59,110 --> 01:25:56,320 where where they're 2441 01:26:00,550 --> 01:25:59,120 showing how relativistic space times can 2442 01:26:02,310 --> 01:26:00,560 be 2443 01:26:04,550 --> 01:26:02,320 constructed 2444 01:26:06,390 --> 01:26:04,560 from exchange of quantum information so 2445 01:26:08,709 --> 01:26:06,400 you don't assume it up front but you try 2446 01:26:10,310 --> 01:26:08,719 to get a dictionary 2447 01:26:12,470 --> 01:26:10,320 to that allows 2448 01:26:14,870 --> 01:26:12,480 different uh 2449 01:26:17,030 --> 01:26:14,880 quantum 2450 01:26:19,110 --> 01:26:17,040 agents to send information back and 2451 01:26:21,030 --> 01:26:19,120 forth and it turns out if you send 2452 01:26:22,390 --> 01:26:21,040 enough information back and forth 2453 01:26:24,229 --> 01:26:22,400 and try to set up a dictionary to make 2454 01:26:25,510 --> 01:26:24,239 everything consistent you will get 2455 01:26:27,910 --> 01:26:25,520 einstein's 2456 01:26:29,669 --> 01:26:27,920 special relativistic um space time 2457 01:26:30,550 --> 01:26:29,679 coming out of it so that's that that's 2458 01:26:32,470 --> 01:26:30,560 that's 2459 01:26:33,510 --> 01:26:32,480 an interesting direction 2460 01:26:35,669 --> 01:26:33,520 to go 2461 01:26:37,430 --> 01:26:35,679 um another 2462 01:26:40,870 --> 01:26:37,440 interesting direction 2463 01:26:43,270 --> 01:26:40,880 to think about one just a simple notion 2464 01:26:48,070 --> 01:26:43,280 time and entropy are 2465 01:26:50,629 --> 01:26:48,080 are deeply connected 2466 01:26:53,990 --> 01:26:50,639 and so we would like to have some way of 2467 01:26:56,149 --> 01:26:54,000 getting entropic time coming out of 2468 01:26:58,149 --> 01:26:56,159 a deeper system in which there is no 2469 01:26:59,830 --> 01:26:58,159 entropic time right 2470 01:27:01,750 --> 01:26:59,840 and there is a 2471 01:27:03,510 --> 01:27:01,760 i'm not saying this is the deepest way 2472 01:27:05,510 --> 01:27:03,520 of doing it but an interesting simple 2473 01:27:07,669 --> 01:27:05,520 way just in the case of markovian 2474 01:27:09,669 --> 01:27:07,679 dynamics so if i have a 2475 01:27:10,550 --> 01:27:09,679 a markovian system 2476 01:27:12,950 --> 01:27:10,560 um 2477 01:27:15,110 --> 01:27:12,960 homogeneous 2478 01:27:17,430 --> 01:27:15,120 and it's in a stationary 2479 01:27:19,270 --> 01:27:17,440 then the entropy of that system doesn't 2480 01:27:23,270 --> 01:27:19,280 change so 2481 01:27:27,030 --> 01:27:23,280 if if for state x sub n and x n minus 1 2482 01:27:30,550 --> 01:27:27,040 and so forth the entropy h of x of n 2483 01:27:35,189 --> 01:27:30,560 equals h of x sub n minus 1 for all n 2484 01:27:36,310 --> 01:27:35,199 so you so there is no entropic time 2485 01:27:38,149 --> 01:27:36,320 but 2486 01:27:39,590 --> 01:27:38,159 it's trivial to prove 2487 01:27:41,830 --> 01:27:39,600 that if you just do a simple 2488 01:27:43,990 --> 01:27:41,840 conditioning if i if i look at 2489 01:27:46,709 --> 01:27:44,000 xn given x1 2490 01:27:47,590 --> 01:27:46,719 or x yeah x n given but then it turns 2491 01:27:48,470 --> 01:27:47,600 out 2492 01:27:49,910 --> 01:27:48,480 that 2493 01:27:52,390 --> 01:27:49,920 h of x n 2494 01:27:55,350 --> 01:27:52,400 given x one is greater than or equal to 2495 01:27:56,870 --> 01:27:55,360 h of x n given x n minus one 2496 01:27:59,510 --> 01:27:56,880 in other words 2497 01:28:01,990 --> 01:27:59,520 the very fact of and 2498 01:28:03,750 --> 01:28:02,000 doing conditioning which is projection 2499 01:28:05,590 --> 01:28:03,760 so you can think about 2500 01:28:07,350 --> 01:28:05,600 i take this 2501 01:28:08,950 --> 01:28:07,360 dynamical system 2502 01:28:11,270 --> 01:28:08,960 which has a notion of state transition 2503 01:28:13,189 --> 01:28:11,280 it's a markov chain 2504 01:28:15,350 --> 01:28:13,199 but it doesn't have any entropic time 2505 01:28:17,270 --> 01:28:15,360 but as soon as you start projecting that 2506 01:28:19,270 --> 01:28:17,280 that non-entropic system onto different 2507 01:28:21,350 --> 01:28:19,280 perspectives by 2508 01:28:24,470 --> 01:28:21,360 by conditioning like h of x n given x 2509 01:28:26,070 --> 01:28:24,480 one all of a sudden now you have entropy 2510 01:28:28,070 --> 01:28:26,080 and so now you have that kind of notion 2511 01:28:29,270 --> 01:28:28,080 of time so so is that a direction that 2512 01:28:32,390 --> 01:28:29,280 we could go 2513 01:28:33,910 --> 01:28:32,400 where where we could still have 2514 01:28:36,709 --> 01:28:33,920 in some sense a dynamical system but 2515 01:28:40,310 --> 01:28:36,719 it's not an entropic time system 2516 01:28:42,550 --> 01:28:40,320 and and show how we get space time 2517 01:28:44,229 --> 01:28:42,560 arising from that in in the way that you 2518 01:28:46,790 --> 01:28:44,239 know that some of these businesses are 2519 01:28:49,270 --> 01:28:46,800 trying to do i i think that will be 2520 01:28:50,950 --> 01:28:49,280 be interesting i think that it's a 2521 01:28:54,550 --> 01:28:50,960 separate question whether the real 2522 01:28:56,390 --> 01:28:54,560 numbers exist versus right that's 2523 01:28:58,229 --> 01:28:56,400 it's a it's a pretty strong statement to 2524 01:29:00,550 --> 01:28:58,239 say that real numbers don't exist that's 2525 01:29:02,550 --> 01:29:00,560 that's really quite interesting 2526 01:29:04,470 --> 01:29:02,560 to say that they don't exist 2527 01:29:05,910 --> 01:29:04,480 but i guess that that's where you want 2528 01:29:08,390 --> 01:29:05,920 to go anyway 2529 01:29:11,030 --> 01:29:08,400 yeah well i agree with categorized that 2530 01:29:13,110 --> 01:29:11,040 real numbers don't exist and the time 2531 01:29:15,110 --> 01:29:13,120 was not right back then so real numbers 2532 01:29:16,470 --> 01:29:15,120 are actually functions 2533 01:29:17,990 --> 01:29:16,480 and you can 2534 01:29:19,990 --> 01:29:18,000 can give you this function instead of a 2535 01:29:22,070 --> 01:29:20,000 real number and it can give you as many 2536 01:29:25,110 --> 01:29:22,080 digits as you want or as you can afford 2537 01:29:28,229 --> 01:29:25,120 to compute but this is it it's fine 2538 01:29:31,270 --> 01:29:28,239 so basically real numbers uh can be 2539 01:29:33,270 --> 01:29:31,280 derived in a deterministic fashion they 2540 01:29:35,430 --> 01:29:33,280 are determined once uh they are 2541 01:29:38,310 --> 01:29:35,440 predetermined in the sense 2542 01:29:40,229 --> 01:29:38,320 but uh you will not know the billions 2543 01:29:43,110 --> 01:29:40,239 digit of 2544 01:29:45,830 --> 01:29:43,120 the square root of two unless you find a 2545 01:29:47,189 --> 01:29:45,840 procedure to compute it and uh the 2546 01:29:49,030 --> 01:29:47,199 energy 2547 01:29:50,229 --> 01:29:49,040 for the neck entropy 2548 01:29:51,590 --> 01:29:50,239 to 2549 01:29:53,750 --> 01:29:51,600 actually get there 2550 01:29:57,510 --> 01:29:53,760 and this derivation of 2551 01:29:59,750 --> 01:29:57,520 a result via using upnic entropy i think 2552 01:30:01,430 --> 01:29:59,760 relates to our perception of time this 2553 01:30:03,350 --> 01:30:01,440 causal error of time which is aligned 2554 01:30:05,990 --> 01:30:03,360 with the entropic arrow 2555 01:30:08,229 --> 01:30:06,000 eric thresher finds a very good metaphor 2556 01:30:11,350 --> 01:30:08,239 in his book good and real i think to 2557 01:30:12,310 --> 01:30:11,360 give an intuition how a symmetric system 2558 01:30:14,149 --> 01:30:12,320 um 2559 01:30:15,510 --> 01:30:14,159 where the transitions are symmetric in 2560 01:30:16,550 --> 01:30:15,520 both directions 2561 01:30:18,149 --> 01:30:16,560 is still 2562 01:30:20,070 --> 01:30:18,159 not going to be 2563 01:30:22,790 --> 01:30:20,080 symmetric at scale when you look at it 2564 01:30:25,910 --> 01:30:22,800 so it digs as an example a well that is 2565 01:30:28,629 --> 01:30:25,920 made of large and small billiard balls 2566 01:30:31,669 --> 01:30:28,639 and did you put one of these billiard 2567 01:30:33,189 --> 01:30:31,679 balls in motion and uh the transaction 2568 01:30:35,830 --> 01:30:33,199 between the little balls are also 2569 01:30:38,390 --> 01:30:35,840 magical which means if you take a movie 2570 01:30:40,149 --> 01:30:38,400 and you play it forward and backward 2571 01:30:42,310 --> 01:30:40,159 you will see for the every interaction 2572 01:30:44,470 --> 01:30:42,320 between two billiard balls that it's the 2573 01:30:46,390 --> 01:30:44,480 same if you go the movie backwards or 2574 01:30:49,189 --> 01:30:46,400 forwards it's a simplified model where 2575 01:30:52,310 --> 01:30:49,199 you have no friction and so we have no 2576 01:30:53,590 --> 01:30:52,320 thermodynamic uh stuff going on we look 2577 01:30:55,830 --> 01:30:53,600 at the universe at the level where 2578 01:30:57,830 --> 01:30:55,840 thermodynamics doesn't exist yet because 2579 01:31:00,070 --> 01:30:57,840 this maybe the staff is too small to 2580 01:31:01,910 --> 01:31:00,080 have these losses right so we just look 2581 01:31:04,390 --> 01:31:01,920 at the billiard ball universe where 2582 01:31:07,669 --> 01:31:04,400 everything is deterministic and without 2583 01:31:09,990 --> 01:31:07,679 noise and in this model what we see is 2584 01:31:11,990 --> 01:31:10,000 that when we zoom out there is something 2585 01:31:13,990 --> 01:31:12,000 that is happening 2586 01:31:14,830 --> 01:31:14,000 at scale and that is 2587 01:31:17,750 --> 01:31:14,840 some 2588 01:31:20,950 --> 01:31:17,760 balls move after they have been hit and 2589 01:31:22,870 --> 01:31:20,960 keep moving hitting other balls 2590 01:31:24,950 --> 01:31:22,880 and there are if you play the movie 2591 01:31:26,470 --> 01:31:24,960 backwards it looks as if some balls are 2592 01:31:29,590 --> 01:31:26,480 anticipating that they are going to be 2593 01:31:31,350 --> 01:31:29,600 soon hit and start moving 2594 01:31:33,830 --> 01:31:31,360 as a result as if they would be hit 2595 01:31:35,830 --> 01:31:33,840 right so there is this asymmetry that uh 2596 01:31:37,669 --> 01:31:35,840 your balls leave a wake 2597 01:31:39,590 --> 01:31:37,679 behind them 2598 01:31:42,390 --> 01:31:39,600 and this vague 2599 01:31:44,149 --> 01:31:42,400 is describing in some sense the entropy 2600 01:31:46,070 --> 01:31:44,159 that we are looking at in our universe 2601 01:31:48,390 --> 01:31:46,080 that's the direction in which you can as 2602 01:31:50,470 --> 01:31:48,400 an embedded observer for memories 2603 01:31:52,709 --> 01:31:50,480 because in order to form memories you 2604 01:31:55,030 --> 01:31:52,719 rely on the dissipation of information 2605 01:31:56,550 --> 01:31:55,040 between locations 2606 01:31:58,790 --> 01:31:56,560 and so whenever 2607 01:32:00,229 --> 01:31:58,800 there is a way to form memories it means 2608 01:32:02,149 --> 01:32:00,239 that you are aligned with some kind of 2609 01:32:04,070 --> 01:32:02,159 entropic arrow 2610 01:32:05,990 --> 01:32:04,080 if you zoom out it means that you can 2611 01:32:07,430 --> 01:32:06,000 now sort the states of the universe in 2612 01:32:09,510 --> 01:32:07,440 such a way that you discover the 2613 01:32:11,189 --> 01:32:09,520 concentric wave that you are that you 2614 01:32:13,030 --> 01:32:11,199 are part of in our 2615 01:32:15,110 --> 01:32:13,040 ocean-like universe 2616 01:32:16,550 --> 01:32:15,120 has a point of origin 2617 01:32:18,229 --> 01:32:16,560 and this point of origin is a 2618 01:32:19,990 --> 01:32:18,239 construction that you make you discover 2619 01:32:22,550 --> 01:32:20,000 this by the wave expanding and you 2620 01:32:25,270 --> 01:32:22,560 discover it by information 2621 01:32:27,590 --> 01:32:25,280 moving diffusing across the locations in 2622 01:32:29,669 --> 01:32:27,600 the wave so there is a hypothetical 2623 01:32:30,790 --> 01:32:29,679 point 2624 01:32:32,790 --> 01:32:30,800 in the middle 2625 01:32:35,110 --> 01:32:32,800 where the information is not diffused 2626 01:32:40,470 --> 01:32:37,430 and this hypothetical point is what we 2627 01:32:42,709 --> 01:32:40,480 imagine to be the big bang 2628 01:32:44,870 --> 01:32:42,719 right and it's a mathematical 2629 01:32:45,990 --> 01:32:44,880 singularity in a way because if you are 2630 01:32:47,830 --> 01:32:46,000 in the big bank you don't know which 2631 01:32:50,470 --> 01:32:47,840 direction to go unless the big bang is 2632 01:32:52,229 --> 01:32:50,480 not completely perfect and symmetrical 2633 01:32:55,270 --> 01:32:52,239 and the interesting thing about this 2634 01:32:57,430 --> 01:32:55,280 before the big bang means uh it's it's 2635 01:32:59,350 --> 01:32:57,440 the wrong question to ask because before 2636 01:33:01,910 --> 01:32:59,360 the big bang if you it looked like it is 2637 01:33:03,750 --> 01:33:01,920 like a more rape pattern 2638 01:33:05,990 --> 01:33:03,760 this would be the point where the 2639 01:33:08,229 --> 01:33:06,000 information goes out of a distribution 2640 01:33:10,709 --> 01:33:08,239 or gets distributed or diffuses between 2641 01:33:13,430 --> 01:33:10,719 locations in the other direction every 2642 01:33:15,750 --> 01:33:13,440 point of every trajectory that goes away 2643 01:33:17,350 --> 01:33:15,760 from the big bang goes into a future 2644 01:33:18,870 --> 01:33:17,360 sorry to interrupt is this related to 2645 01:33:20,790 --> 01:33:18,880 the janus point 2646 01:33:21,669 --> 01:33:20,800 have you heard of julian barber's theory 2647 01:33:23,350 --> 01:33:21,679 of time 2648 01:33:27,110 --> 01:33:23,360 no 2649 01:33:29,430 --> 01:33:27,120 certain description basically we create 2650 01:33:31,270 --> 01:33:29,440 a certain mental model in which we 2651 01:33:34,470 --> 01:33:31,280 describe the 2652 01:33:36,390 --> 01:33:34,480 entropic era of time as the diffusion of 2653 01:33:38,709 --> 01:33:36,400 information across locations in the 2654 01:33:40,790 --> 01:33:38,719 universe and then we imagine that there 2655 01:33:42,390 --> 01:33:40,800 is a single point where this ends up and 2656 01:33:44,870 --> 01:33:42,400 we go through this point on the other 2657 01:33:47,430 --> 01:33:44,880 side we go back into another future 2658 01:33:49,430 --> 01:33:47,440 so so the further we go away from this 2659 01:33:51,510 --> 01:33:49,440 point in any direction the further we go 2660 01:33:53,910 --> 01:33:51,520 into a future in which systems could 2661 01:33:55,510 --> 01:33:53,920 form memories of the past and to form 2662 01:33:57,510 --> 01:33:55,520 memories of the past you need to have 2663 01:33:59,430 --> 01:33:57,520 some kind of reservoir of neck entropy 2664 01:34:01,830 --> 01:33:59,440 that you can tap and some kind of puddle 2665 01:34:04,229 --> 01:34:01,840 of neck entropy and then you can reason 2666 01:34:06,870 --> 01:34:04,239 about the conditions uh how such puddles 2667 01:34:08,790 --> 01:34:06,880 of neck entropy could form under which 2668 01:34:10,470 --> 01:34:08,800 conditions and how long they might last 2669 01:34:12,310 --> 01:34:10,480 i would like to get to the topic of free 2670 01:34:14,550 --> 01:34:12,320 will as well and then also some audience 2671 01:34:19,110 --> 01:34:14,560 questions so why don't you donald 2672 01:34:25,270 --> 01:34:20,470 okay uh 2673 01:34:25,280 --> 01:34:28,229 if 2674 01:34:32,790 --> 01:34:30,709 in a physicalist framework 2675 01:34:34,149 --> 01:34:32,800 which i so now i'll just talk about what 2676 01:34:37,189 --> 01:34:34,159 most of my 2677 01:34:39,990 --> 01:34:37,199 cognitive neuroscience peers think right 2678 01:34:41,750 --> 01:34:40,000 most of them assume that that physical 2679 01:34:43,750 --> 01:34:41,760 systems are fundamental 2680 01:34:45,830 --> 01:34:43,760 neural activity causes 2681 01:34:47,109 --> 01:34:45,840 um all of our behavior 2682 01:34:50,149 --> 01:34:47,119 and 2683 01:34:52,310 --> 01:34:50,159 in in that case um 2684 01:34:55,350 --> 01:34:52,320 there can be a a fiction of 2685 01:34:56,709 --> 01:34:55,360 a useful fiction of of free will but but 2686 01:34:59,189 --> 01:34:56,719 it's really just going to be a useful 2687 01:35:01,669 --> 01:34:59,199 fiction if i do something it's really my 2688 01:35:03,590 --> 01:35:01,679 neurons with the neural activity 2689 01:35:06,310 --> 01:35:03,600 that that did it and 2690 01:35:08,229 --> 01:35:06,320 um there is a sense in which you can say 2691 01:35:10,229 --> 01:35:08,239 i chose to do it because actually 2692 01:35:12,149 --> 01:35:10,239 neurons are part of me so i 2693 01:35:14,470 --> 01:35:12,159 i think that's the point of view that 2694 01:35:15,270 --> 01:35:14,480 dan dennett takes for example on this 2695 01:35:21,750 --> 01:35:15,280 and 2696 01:35:23,109 --> 01:35:21,760 that he says well yeah i also grill my 2697 01:35:25,910 --> 01:35:23,119 fingernails i'm not sure that i'm doing 2698 01:35:28,149 --> 01:35:25,920 that by free will but you know what 2699 01:35:29,510 --> 01:35:28,159 so so it's not real clear that just 2700 01:35:31,030 --> 01:35:29,520 because my neurons are doing it i have 2701 01:35:32,790 --> 01:35:31,040 free will just in the same sense that i 2702 01:35:34,870 --> 01:35:32,800 don't i'm not using free will to grow my 2703 01:35:35,910 --> 01:35:34,880 my my fingernails 2704 01:35:37,910 --> 01:35:35,920 um 2705 01:35:41,990 --> 01:35:37,920 so 2706 01:35:43,430 --> 01:35:42,000 as as free will if you're a physicist 2707 01:35:45,750 --> 01:35:43,440 dan dennett would say i'm a physicist 2708 01:35:46,950 --> 01:35:45,760 and there is this important notion of 2709 01:35:51,270 --> 01:35:46,960 free will 2710 01:35:54,950 --> 01:35:52,950 i i think that of course space time 2711 01:35:57,270 --> 01:35:54,960 isn't fundamental and so that we have to 2712 01:35:58,470 --> 01:35:57,280 completely think outside of that box all 2713 01:35:59,510 --> 01:35:58,480 together 2714 01:36:01,750 --> 01:35:59,520 and 2715 01:36:04,310 --> 01:36:01,760 as as scientists we have to 2716 01:36:05,750 --> 01:36:04,320 say up front what our hypotheses what 2717 01:36:09,750 --> 01:36:05,760 our axioms or 2718 01:36:12,470 --> 01:36:11,590 and and be very clear about them up 2719 01:36:14,310 --> 01:36:12,480 front 2720 01:36:16,790 --> 01:36:14,320 these conscious agents 2721 01:36:19,350 --> 01:36:16,800 in the mathematics they they get 2722 01:36:20,550 --> 01:36:19,360 certain inputs we call them experiences 2723 01:36:22,709 --> 01:36:20,560 that they have 2724 01:36:24,390 --> 01:36:22,719 and then they they there's a something 2725 01:36:26,709 --> 01:36:24,400 called a markovian kernel that that 2726 01:36:28,470 --> 01:36:26,719 describes what actions they take and 2727 01:36:30,229 --> 01:36:28,480 those actions affect the experiences of 2728 01:36:32,070 --> 01:36:30,239 other conscious agents 2729 01:36:33,910 --> 01:36:32,080 so so then there's so that's just the 2730 01:36:35,669 --> 01:36:33,920 mathematics that that my team has 2731 01:36:37,189 --> 01:36:35,679 written down it's a very simple notion 2732 01:36:39,030 --> 01:36:37,199 of markovian dynamics of conscious 2733 01:36:41,109 --> 01:36:39,040 agents interacting 2734 01:36:42,310 --> 01:36:41,119 and and it's not in the physical 2735 01:36:43,910 --> 01:36:42,320 framework 2736 01:36:46,149 --> 01:36:43,920 we're assuming that this is 2737 01:36:47,669 --> 01:36:46,159 you know in its own world right these 2738 01:36:49,430 --> 01:36:47,679 are conscious agents 2739 01:36:51,350 --> 01:36:49,440 and and that's the foundation space and 2740 01:36:53,350 --> 01:36:51,360 time are not the foundation conscious 2741 01:36:55,109 --> 01:36:53,360 agents so conscious experiences and 2742 01:36:57,830 --> 01:36:55,119 interactions of conscious agents are the 2743 01:36:58,629 --> 01:36:57,840 foundational notion 2744 01:37:01,350 --> 01:36:58,639 and 2745 01:37:02,790 --> 01:37:01,360 so then the question is how shall we 2746 01:37:04,550 --> 01:37:02,800 understand 2747 01:37:06,390 --> 01:37:04,560 the probabilities so if i get a 2748 01:37:08,709 --> 01:37:06,400 particular experience that 2749 01:37:10,229 --> 01:37:08,719 comes into a conscious agent 2750 01:37:11,830 --> 01:37:10,239 and it then 2751 01:37:13,910 --> 01:37:11,840 probabilistically affects the experience 2752 01:37:16,470 --> 01:37:13,920 of other agents how shall i 2753 01:37:17,750 --> 01:37:16,480 understand that probability 2754 01:37:20,070 --> 01:37:17,760 that it 2755 01:37:21,350 --> 01:37:20,080 shall i understand it as as a free will 2756 01:37:24,229 --> 01:37:21,360 choice 2757 01:37:27,830 --> 01:37:24,239 or or what um 2758 01:37:30,790 --> 01:37:29,350 you know i could say you know i refuse 2759 01:37:33,030 --> 01:37:30,800 to answer the question i just there's a 2760 01:37:35,030 --> 01:37:33,040 probability there and that's that's as 2761 01:37:36,790 --> 01:37:35,040 far as i go with with the theory there's 2762 01:37:39,910 --> 01:37:36,800 you know this agent 2763 01:37:42,470 --> 01:37:39,920 so i leave that probability as just um 2764 01:37:44,149 --> 01:37:42,480 where my theory stops right i say 2765 01:37:46,149 --> 01:37:44,159 in some sense wherever we see a 2766 01:37:47,669 --> 01:37:46,159 probability in a theory that's where 2767 01:37:48,950 --> 01:37:47,679 explanation stops 2768 01:37:51,109 --> 01:37:48,960 right 2769 01:37:53,990 --> 01:37:51,119 that's that's basically saying 2770 01:37:56,470 --> 01:37:54,000 i don't know like my so whenever so i 2771 01:37:59,030 --> 01:37:56,480 said is whenever in a scientific theory 2772 01:38:00,310 --> 01:37:59,040 you see probabilities coming up 2773 01:38:02,149 --> 01:38:00,320 um 2774 01:38:03,350 --> 01:38:02,159 you're seeing the theory say this is 2775 01:38:05,830 --> 01:38:03,360 where i halt 2776 01:38:09,910 --> 01:38:05,840 uh this is where my explanation stops 2777 01:38:12,950 --> 01:38:11,510 approaches toward understanding those 2778 01:38:14,229 --> 01:38:12,960 probabilities the objectivist and 2779 01:38:16,390 --> 01:38:14,239 subjectivist 2780 01:38:17,430 --> 01:38:16,400 to probabilities right so 2781 01:38:19,910 --> 01:38:17,440 objectivists say that these 2782 01:38:21,990 --> 01:38:19,920 probabilities are 2783 01:38:25,750 --> 01:38:22,000 pointing to some real 2784 01:38:28,070 --> 01:38:25,760 thing in the world there is some real 2785 01:38:29,750 --> 01:38:28,080 random generator in the world 2786 01:38:30,470 --> 01:38:29,760 um 2787 01:38:32,870 --> 01:38:30,480 and 2788 01:38:34,390 --> 01:38:32,880 subjectivists say no um 2789 01:38:36,790 --> 01:38:34,400 these are just degrees of beliefs 2790 01:38:38,870 --> 01:38:36,800 whenever you see probabilities 2791 01:38:41,189 --> 01:38:38,880 you're only talking about 2792 01:38:42,470 --> 01:38:41,199 degrees of belief 2793 01:38:45,910 --> 01:38:42,480 um but 2794 01:38:49,669 --> 01:38:48,149 explanation stops right 2795 01:38:51,350 --> 01:38:49,679 how do i come to that belief well i can 2796 01:38:53,510 --> 01:38:51,360 only tell you probabilities 2797 01:38:55,430 --> 01:38:53,520 what is that random objective process i 2798 01:38:57,990 --> 01:38:55,440 don't know but i can just tell you um 2799 01:38:59,669 --> 01:38:58,000 probabilities and so so really whenever 2800 01:39:01,590 --> 01:38:59,679 you see probabilities in the scientific 2801 01:39:03,350 --> 01:39:01,600 theory and they're all over the place 2802 01:39:06,550 --> 01:39:03,360 i read that as saying here's where 2803 01:39:08,950 --> 01:39:06,560 explanation stops um and our theories 2804 01:39:10,310 --> 01:39:08,960 our theories halt um and and if we want 2805 01:39:13,830 --> 01:39:10,320 to go further we're gonna have to unpack 2806 01:39:15,109 --> 01:39:13,840 that probability into some some deeper 2807 01:39:17,830 --> 01:39:15,119 deeper theory 2808 01:39:21,350 --> 01:39:19,669 if i say that it's 2809 01:39:24,830 --> 01:39:21,360 free will 2810 01:39:27,910 --> 01:39:24,840 in case of the conscious agents 2811 01:39:30,550 --> 01:39:27,920 um then i mean 2812 01:39:31,990 --> 01:39:30,560 in some sense that's just words 2813 01:39:34,149 --> 01:39:32,000 what what the theory has is the 2814 01:39:36,070 --> 01:39:34,159 probabilities and it has no further 2815 01:39:38,870 --> 01:39:36,080 explanation so if i say if i call that 2816 01:39:40,870 --> 01:39:38,880 probability of a free will 2817 01:39:43,669 --> 01:39:40,880 then i you know i can call it that but 2818 01:39:45,109 --> 01:39:43,679 but i haven't really done much to 2819 01:39:46,950 --> 01:39:45,119 give much insight into the notion of 2820 01:39:48,390 --> 01:39:46,960 free will free will then becomes a 2821 01:39:50,070 --> 01:39:48,400 primitive and and maybe that's what i 2822 01:39:52,709 --> 01:39:50,080 want to do i want to say um this is 2823 01:39:55,350 --> 01:39:52,719 where explanation stops and so free will 2824 01:39:59,030 --> 01:39:55,360 is primitive so when these probabilities 2825 01:40:01,750 --> 01:39:59,040 are our free will and i agree to that 2826 01:40:04,070 --> 01:40:01,760 that that's where my theory stops that i 2827 01:40:07,350 --> 01:40:04,080 i can do no further 2828 01:40:10,709 --> 01:40:09,270 now what's interesting in the in the the 2829 01:40:13,910 --> 01:40:10,719 conscious agent dynamics that we're 2830 01:40:16,950 --> 01:40:13,920 working on is that um 2831 01:40:19,430 --> 01:40:16,960 any group of conscious agents 2832 01:40:20,709 --> 01:40:19,440 together also satisfy the definition of 2833 01:40:22,629 --> 01:40:20,719 a conscious agent and so they are a 2834 01:40:25,030 --> 01:40:22,639 conscious agent so any conscious agents 2835 01:40:26,310 --> 01:40:25,040 interacting are also conscious agents so 2836 01:40:27,990 --> 01:40:26,320 they're in the third there's one 2837 01:40:29,510 --> 01:40:28,000 conscious agent 2838 01:40:32,950 --> 01:40:29,520 because if you take all of them together 2839 01:40:34,870 --> 01:40:32,960 they form one conscious agent but then 2840 01:40:36,470 --> 01:40:34,880 there are as many 2841 01:40:38,070 --> 01:40:36,480 um if you're computational there's only 2842 01:40:39,750 --> 01:40:38,080 accountable number of them or in my case 2843 01:40:41,510 --> 01:40:39,760 i don't know if it may be an uncountable 2844 01:40:43,590 --> 01:40:41,520 number of of conscious 2845 01:40:46,870 --> 01:40:43,600 agents but what's interesting is that 2846 01:40:49,270 --> 01:40:46,880 the you unpack this probability in the 2847 01:40:51,430 --> 01:40:49,280 markovian kernel there could be one big 2848 01:40:53,109 --> 01:40:51,440 probability for the one agent 2849 01:40:55,270 --> 01:40:53,119 but you can unpack that into all these 2850 01:40:57,109 --> 01:40:55,280 dynamical systems interacting conscious 2851 01:40:58,870 --> 01:40:57,119 agents with their own probabilities in 2852 01:41:01,669 --> 01:40:58,880 their own kernels and what's what's 2853 01:41:03,669 --> 01:41:01,679 interesting is that you could then 2854 01:41:05,430 --> 01:41:03,679 give in some sense an unpacking of the 2855 01:41:06,950 --> 01:41:05,440 notion of free will in that way you 2856 01:41:08,870 --> 01:41:06,960 could say well yeah the the one agent 2857 01:41:10,470 --> 01:41:08,880 has free will in this this probability 2858 01:41:12,870 --> 01:41:10,480 but i can actually 2859 01:41:14,629 --> 01:41:12,880 do some non-trivial unpacking of that 2860 01:41:17,590 --> 01:41:14,639 notion in this sort of recursive 2861 01:41:19,750 --> 01:41:17,600 unwinding of those probabilities um 2862 01:41:21,830 --> 01:41:19,760 throughout the network so so 2863 01:41:24,149 --> 01:41:21,840 there is the possibility here 2864 01:41:25,590 --> 01:41:24,159 of i mean ultimately 2865 01:41:27,270 --> 01:41:25,600 um 2866 01:41:29,030 --> 01:41:27,280 there will be a primitive notion of free 2867 01:41:31,350 --> 01:41:29,040 will that that is just primitive and not 2868 01:41:32,950 --> 01:41:31,360 explained but given that one i can 2869 01:41:34,470 --> 01:41:32,960 explain all these other free wills sort 2870 01:41:36,229 --> 01:41:34,480 of interacting 2871 01:41:38,950 --> 01:41:36,239 arising from this most primitive notion 2872 01:41:40,950 --> 01:41:38,960 of free will in a non-trivial 2873 01:41:43,189 --> 01:41:40,960 non-trivial way but but once again i i 2874 01:41:44,790 --> 01:41:43,199 would i would point out 2875 01:41:47,430 --> 01:41:44,800 something that i see all the time in 2876 01:41:49,350 --> 01:41:47,440 scientific theories no theory in science 2877 01:41:51,830 --> 01:41:49,360 will ever explain everything 2878 01:41:53,430 --> 01:41:51,840 and and and i would love to see if josh 2879 01:41:55,910 --> 01:41:53,440 joshua 2880 01:41:57,430 --> 01:41:55,920 agrees disagrees i i will just state to 2881 01:41:59,109 --> 01:41:57,440 make a strong claim 2882 01:42:00,629 --> 01:41:59,119 um 2883 01:42:02,870 --> 01:42:00,639 there cannot be a theory of everything 2884 01:42:05,430 --> 01:42:02,880 because every theory has to make 2885 01:42:07,590 --> 01:42:05,440 assumptions and those assumptions 2886 01:42:11,430 --> 01:42:07,600 are not explained they're assumed 2887 01:42:15,830 --> 01:42:13,590 okay am i correct in my 2888 01:42:17,590 --> 01:42:15,840 summary of your views on free will that 2889 01:42:19,430 --> 01:42:17,600 if in a physical theory you have 2890 01:42:21,270 --> 01:42:19,440 probability now some of that probability 2891 01:42:23,750 --> 01:42:21,280 is just due to our ignorance but if 2892 01:42:25,830 --> 01:42:23,760 there's a fundamental probability you 2893 01:42:27,510 --> 01:42:25,840 can just say well that's indicating that 2894 01:42:29,030 --> 01:42:27,520 the theories break down we just don't 2895 01:42:31,109 --> 01:42:29,040 know or you can say that there's 2896 01:42:32,229 --> 01:42:31,119 something underneath producing those and 2897 01:42:34,629 --> 01:42:32,239 that which is underneath the 2898 01:42:37,910 --> 01:42:34,639 probabilities is what you're calling 2899 01:42:40,310 --> 01:42:37,920 free will is that correct or is that off 2900 01:42:43,750 --> 01:42:40,320 right so if i'm a physicalist i'll say 2901 01:42:45,430 --> 01:42:43,760 that that probability is due to some 2902 01:42:46,790 --> 01:42:45,440 process that i can say no more about but 2903 01:42:48,149 --> 01:42:46,800 there's some process that generates this 2904 01:42:50,550 --> 01:42:48,159 stuff it's not free will it's just a 2905 01:42:52,229 --> 01:42:50,560 physical process that that um i don't 2906 01:42:54,149 --> 01:42:52,239 know but if i'm taking consciousness to 2907 01:42:56,390 --> 01:42:54,159 be fundamental then it's an interesting 2908 01:42:58,870 --> 01:42:56,400 move to say that that that free that 2909 01:43:00,070 --> 01:42:58,880 that probability um can be interpreted 2910 01:43:01,669 --> 01:43:00,080 as 2911 01:43:03,750 --> 01:43:01,679 free will now of course i'm not 2912 01:43:05,750 --> 01:43:03,760 explaining anything i'm not you mean 2913 01:43:07,590 --> 01:43:05,760 i'm just putting the frame for the 2914 01:43:08,470 --> 01:43:07,600 notion free will the word free will on 2915 01:43:12,470 --> 01:43:08,480 it right 2916 01:43:14,709 --> 01:43:12,480 and and and free will becomes just a 2917 01:43:17,350 --> 01:43:14,719 a primitive notion as well i'm so that's 2918 01:43:18,629 --> 01:43:17,360 where my explanation stops and i'm the 2919 01:43:20,070 --> 01:43:18,639 most unpacking i can do is that 2920 01:43:21,270 --> 01:43:20,080 recursive unpacking that i that i 2921 01:43:23,430 --> 01:43:21,280 mentioned which is an interesting 2922 01:43:24,790 --> 01:43:23,440 unpacking but ultimately there's this 2923 01:43:26,870 --> 01:43:24,800 primitive notion of free will that i 2924 01:43:29,030 --> 01:43:26,880 have nothing further to say about but 2925 01:43:30,310 --> 01:43:29,040 but i think that um 2926 01:43:33,350 --> 01:43:30,320 that's not 2927 01:43:34,470 --> 01:43:33,360 a problem specific to this theory i the 2928 01:43:37,189 --> 01:43:34,480 last thing i was saying was that that's 2929 01:43:39,990 --> 01:43:37,199 endemic to all scientific theories every 2930 01:43:42,390 --> 01:43:40,000 scientific theory will have miracles at 2931 01:43:44,950 --> 01:43:42,400 its foundation by miracles i mean 2932 01:43:47,350 --> 01:43:44,960 assumptions that are taken for granted 2933 01:43:48,550 --> 01:43:47,360 and not explained 2934 01:43:50,070 --> 01:43:48,560 if you explain them then you'll have a 2935 01:43:51,750 --> 01:43:50,080 deeper theory with new assumptions that 2936 01:43:54,229 --> 01:43:51,760 explain those assumptions but the new 2937 01:43:55,430 --> 01:43:54,239 assumptions aren't explained and so so 2938 01:43:56,870 --> 01:43:55,440 in this sense 2939 01:43:58,550 --> 01:43:56,880 science can never have a theory of 2940 01:44:01,430 --> 01:43:58,560 everything because science 2941 01:44:05,109 --> 01:44:01,440 theories always have assumptions and the 2942 01:44:08,870 --> 01:44:07,590 yosha i know donald said quite a few 2943 01:44:10,550 --> 01:44:08,880 there are quite a few elements to pick 2944 01:44:12,070 --> 01:44:10,560 from there 2945 01:44:14,629 --> 01:44:12,080 three um 2946 01:44:15,830 --> 01:44:14,639 interlocking claims but let's address 2947 01:44:17,510 --> 01:44:15,840 them um 2948 01:44:18,709 --> 01:44:17,520 first of all i don't know whether there 2949 01:44:20,629 --> 01:44:18,719 can be a 2950 01:44:22,550 --> 01:44:20,639 one theory of everything 2951 01:44:24,390 --> 01:44:22,560 because my reasoning is not tight enough 2952 01:44:25,510 --> 01:44:24,400 to have to make that proof one way or 2953 01:44:27,350 --> 01:44:25,520 the other 2954 01:44:29,510 --> 01:44:27,360 so at this point i have to remain 2955 01:44:31,430 --> 01:44:29,520 agnostic because i think from where i 2956 01:44:33,189 --> 01:44:31,440 stand it seems to be possible that there 2957 01:44:36,709 --> 01:44:33,199 can be a theory of everything and it 2958 01:44:39,590 --> 01:44:36,719 seems to be possible that they cannot 2959 01:44:41,830 --> 01:44:39,600 from a computational list perspective 2960 01:44:42,709 --> 01:44:41,840 whenever you have a set of observations 2961 01:44:45,189 --> 01:44:42,719 that is 2962 01:44:47,430 --> 01:44:45,199 finite you will be able to construct a 2963 01:44:49,030 --> 01:44:47,440 computational model that explains how to 2964 01:44:51,669 --> 01:44:49,040 make such patterns 2965 01:44:54,950 --> 01:44:51,679 so in principle there can always be a 2966 01:44:57,430 --> 01:44:54,960 theory of everything that you observe 2967 01:44:59,030 --> 01:44:57,440 that's something that i cannot 2968 01:45:01,189 --> 01:44:59,040 they don't see a way around this so this 2969 01:45:02,790 --> 01:45:01,199 seems to be sound to me and i think that 2970 01:45:04,229 --> 01:45:02,800 can be formally proven 2971 01:45:05,830 --> 01:45:04,239 but uh 2972 01:45:07,669 --> 01:45:05,840 and it seems to be almost trivial that 2973 01:45:09,590 --> 01:45:07,679 it's too proven so it's more interesting 2974 01:45:11,910 --> 01:45:09,600 the question is can you narrow this down 2975 01:45:13,109 --> 01:45:11,920 to a single one to one theory of 2976 01:45:14,950 --> 01:45:13,119 everything 2977 01:45:16,790 --> 01:45:14,960 right you will be always stuck with 2978 01:45:18,149 --> 01:45:16,800 infinitely many theories of everything 2979 01:45:20,629 --> 01:45:18,159 where most of these theories will be 2980 01:45:21,830 --> 01:45:20,639 super inelegant and uh redundant and 2981 01:45:23,990 --> 01:45:21,840 basically recordings of your 2982 01:45:26,070 --> 01:45:24,000 observations or 2983 01:45:27,990 --> 01:45:26,080 will there be one theory that is the 2984 01:45:31,350 --> 01:45:28,000 most elegant and explains everything 2985 01:45:33,270 --> 01:45:31,360 deeply and wraps it up and of course if 2986 01:45:34,790 --> 01:45:33,280 you think about the space of all 2987 01:45:37,669 --> 01:45:34,800 theories and think of them as things 2988 01:45:40,629 --> 01:45:37,679 that you can do in a language and 2989 01:45:42,070 --> 01:45:40,639 in which you can define truth and if you 2990 01:45:43,990 --> 01:45:42,080 realize that the languages in which you 2991 01:45:46,229 --> 01:45:44,000 can define truth consistently these are 2992 01:45:47,510 --> 01:45:46,239 the computational languages it turns out 2993 01:45:49,910 --> 01:45:47,520 that all your models are going to be 2994 01:45:51,350 --> 01:45:49,920 automata and that you can sort the space 2995 01:45:54,149 --> 01:45:51,360 of automata by the length of the 2996 01:45:56,149 --> 01:45:54,159 definitions so it also seems that in 2997 01:45:59,030 --> 01:45:56,159 principle it should be possible to find 2998 01:46:00,950 --> 01:45:59,040 the shortest automaton between two every 2999 01:46:02,790 --> 01:46:00,960 pair of automata that you can construct 3000 01:46:04,550 --> 01:46:02,800 and connect with now the question is 3001 01:46:06,629 --> 01:46:04,560 what's your search procedure for all the 3002 01:46:08,550 --> 01:46:06,639 possible automata do you have a search 3003 01:46:10,149 --> 01:46:08,560 procedure that you can hope that 3004 01:46:12,709 --> 01:46:10,159 terminates 3005 01:46:15,510 --> 01:46:12,719 and this is uh not a question of whether 3006 01:46:17,189 --> 01:46:15,520 it's mathematically uh possible uh but 3007 01:46:18,709 --> 01:46:17,199 whether it's efficient so you do is 3008 01:46:20,470 --> 01:46:18,719 there an efficient 3009 01:46:23,270 --> 01:46:20,480 strategy to find the theory of 3010 01:46:25,430 --> 01:46:23,280 everything that is the shortest one 3011 01:46:27,510 --> 01:46:25,440 and so far we haven't found one 3012 01:46:29,430 --> 01:46:27,520 and it relates to 3013 01:46:31,430 --> 01:46:29,440 what ai is doing in machine learning 3014 01:46:33,910 --> 01:46:31,440 when it tries to identify what's going 3015 01:46:35,830 --> 01:46:33,920 on in the domain 3016 01:46:37,669 --> 01:46:35,840 so while in principle we can always be 3017 01:46:39,510 --> 01:46:37,679 sure that we could be a brain in a vet 3018 01:46:40,950 --> 01:46:39,520 and everything is just a nefarious 3019 01:46:42,310 --> 01:46:40,960 conspiracy 3020 01:46:44,709 --> 01:46:42,320 that is playing out and because we 3021 01:46:47,669 --> 01:46:44,719 cannot exclude this we can never be sure 3022 01:46:50,709 --> 01:46:47,679 that our theory of everything is uh 3023 01:46:52,950 --> 01:46:50,719 is the best theory that could exist 3024 01:46:55,830 --> 01:46:52,960 of things so that's obviously the case 3025 01:46:57,669 --> 01:46:55,840 but if we uh take out this single thing 3026 01:46:59,910 --> 01:46:57,679 and make the assumption that reality is 3027 01:47:01,910 --> 01:46:59,920 not a conspiracy 3028 01:47:03,830 --> 01:47:01,920 uh i think then it look starts to look a 3029 01:47:06,790 --> 01:47:03,840 lot brighter 3030 01:47:08,870 --> 01:47:06,800 let's get to the notion of free will 3031 01:47:10,950 --> 01:47:08,880 i think that free will is tied into the 3032 01:47:12,870 --> 01:47:10,960 notion of agency 3033 01:47:15,109 --> 01:47:12,880 and the best 3034 01:47:17,510 --> 01:47:15,119 explanation of what an agent is that i 3035 01:47:19,270 --> 01:47:17,520 found so far is that an agent is a 3036 01:47:21,189 --> 01:47:19,280 control system 3037 01:47:24,390 --> 01:47:21,199 that is intrinsically combined with its 3038 01:47:26,550 --> 01:47:24,400 own set point generator a control system 3039 01:47:29,270 --> 01:47:26,560 is a notion from cybernetics it means 3040 01:47:31,109 --> 01:47:29,280 you have some system like a thermostat 3041 01:47:32,870 --> 01:47:31,119 that is making a measurement using 3042 01:47:35,510 --> 01:47:32,880 sensors for instance the temperature in 3043 01:47:37,350 --> 01:47:35,520 the room and that has a factors by which 3044 01:47:38,950 --> 01:47:37,360 it can change the dynamics of the system 3045 01:47:40,470 --> 01:47:38,960 so the effector would be a switch that 3046 01:47:42,470 --> 01:47:40,480 turns the heating on and off and the 3047 01:47:44,149 --> 01:47:42,480 system that's being regulated is the 3048 01:47:46,310 --> 01:47:44,159 temperature in the room and the 3049 01:47:48,310 --> 01:47:46,320 temperature in the room is disturbed by 3050 01:47:51,109 --> 01:47:48,320 the environment 3051 01:47:53,270 --> 01:47:51,119 and a simple thermostat will only act on 3052 01:47:54,870 --> 01:47:53,280 its present measurement and then 3053 01:47:56,470 --> 01:47:54,880 translate this present measurement using 3054 01:47:59,030 --> 01:47:56,480 a single parameter into whether it 3055 01:48:00,629 --> 01:47:59,040 should switch or not and depending on 3056 01:48:03,350 --> 01:48:00,639 choosing that 3057 01:48:04,950 --> 01:48:03,360 parameter well you have a more efficient 3058 01:48:07,109 --> 01:48:04,960 regulation or not 3059 01:48:08,709 --> 01:48:07,119 but if you want to be more efficient you 3060 01:48:10,390 --> 01:48:08,719 need to model the environment and the 3061 01:48:12,149 --> 01:48:10,400 dynamics of the system 3062 01:48:14,870 --> 01:48:12,159 and maybe the dynamics of the sensory 3063 01:48:16,709 --> 01:48:14,880 system and the actuator itself 3064 01:48:19,590 --> 01:48:16,719 and you can do this it means that you 3065 01:48:21,990 --> 01:48:19,600 model the future of the regulation 3066 01:48:23,830 --> 01:48:22,000 based on past observations so if you 3067 01:48:25,990 --> 01:48:23,840 endow the controller with the ability to 3068 01:48:28,390 --> 01:48:26,000 make a model of the future and use this 3069 01:48:29,830 --> 01:48:28,400 control model to fine-tune the actions 3070 01:48:31,510 --> 01:48:29,840 of the controller 3071 01:48:33,350 --> 01:48:31,520 it means that this a controller now is 3072 01:48:34,870 --> 01:48:33,360 more than a thermostat it's not going to 3073 01:48:37,109 --> 01:48:34,880 just optimize the temperature in the 3074 01:48:39,270 --> 01:48:37,119 room in the next frame but it's going to 3075 01:48:40,950 --> 01:48:39,280 optimize the integral of the temperature 3076 01:48:43,270 --> 01:48:40,960 over a long time span so it basically 3077 01:48:46,070 --> 01:48:43,280 takes a long expectation horizon the 3078 01:48:48,390 --> 01:48:46,080 fast further it goes the better probably 3079 01:48:50,149 --> 01:48:48,400 and then it tries to minimize all the 3080 01:48:52,390 --> 01:48:50,159 temperature deviations from the ideal 3081 01:48:54,310 --> 01:48:52,400 temperature from the set point over that 3082 01:48:56,790 --> 01:48:54,320 time span and this means that depending 3083 01:48:58,709 --> 01:48:56,800 on the fidelity and detail of the model 3084 01:49:00,790 --> 01:48:58,719 of its environment and its interaction 3085 01:49:03,189 --> 01:49:00,800 with the environment and itself 3086 01:49:05,430 --> 01:49:03,199 it's going to be better and better if it 3087 01:49:07,590 --> 01:49:05,440 assumes that there are trajectories in 3088 01:49:09,109 --> 01:49:07,600 the world that are the result of its own 3089 01:49:11,109 --> 01:49:09,119 decisions 3090 01:49:13,189 --> 01:49:11,119 right by turning the temperature on and 3091 01:49:14,709 --> 01:49:13,199 off at this particular point in time i'm 3092 01:49:16,310 --> 01:49:14,719 going to get this in this result 3093 01:49:18,870 --> 01:49:16,320 depending on the weather outside 3094 01:49:20,390 --> 01:49:18,880 depending on how often people uh open 3095 01:49:22,629 --> 01:49:20,400 and close the door to the room at 3096 01:49:25,350 --> 01:49:22,639 different times of the day depending on 3097 01:49:27,910 --> 01:49:25,360 the aging of my sensor or the 3098 01:49:29,750 --> 01:49:27,920 distance of my sensor to the heating and 3099 01:49:31,990 --> 01:49:29,760 depending on whether the 3100 01:49:34,229 --> 01:49:32,000 window and on top of the sensor is 3101 01:49:36,550 --> 01:49:34,239 currently open or closed and so on i get 3102 01:49:38,629 --> 01:49:36,560 lots and more more ways to differentiate 3103 01:49:40,629 --> 01:49:38,639 the event flow in the universe and the 3104 01:49:42,709 --> 01:49:40,639 path that the universe can take and the 3105 01:49:44,229 --> 01:49:42,719 interactions uh that that i can have 3106 01:49:45,830 --> 01:49:44,239 with the universe that determine whether 3107 01:49:49,189 --> 01:49:45,840 somebody will open the window and so on 3108 01:49:52,390 --> 01:49:49,199 and so on right so you uh have all these 3109 01:49:54,950 --> 01:49:52,400 uh points where the controller is a very 3110 01:49:56,629 --> 01:49:54,960 differentiated model of reality where 3111 01:49:58,470 --> 01:49:56,639 it's going to prefer some events of 3112 01:50:00,629 --> 01:49:58,480 others and is going to 3113 01:50:02,629 --> 01:50:00,639 assign its own decisions to these 3114 01:50:04,390 --> 01:50:02,639 trajectories 3115 01:50:07,270 --> 01:50:04,400 and this decision making necessarily 3116 01:50:10,629 --> 01:50:07,280 happens under conditions of uncertainty 3117 01:50:12,149 --> 01:50:10,639 which means the controller will never be 3118 01:50:13,430 --> 01:50:12,159 completely sure which one is going to 3119 01:50:16,070 --> 01:50:13,440 the right decision the controller will 3120 01:50:17,510 --> 01:50:16,080 have to make educated guesses bets on 3121 01:50:19,669 --> 01:50:17,520 the future 3122 01:50:21,270 --> 01:50:19,679 and this even includes the models of 3123 01:50:22,790 --> 01:50:21,280 itself right the better the control 3124 01:50:25,270 --> 01:50:22,800 system understands itself and the 3125 01:50:27,350 --> 01:50:25,280 limitations of its modeling ability the 3126 01:50:29,750 --> 01:50:27,360 better its models are going to be so at 3127 01:50:31,270 --> 01:50:29,760 some point of complexity this thing is 3128 01:50:33,430 --> 01:50:31,280 going to understand its own modeling 3129 01:50:35,189 --> 01:50:33,440 procedure to improve it and to find gaps 3130 01:50:36,149 --> 01:50:35,199 in it and so on 3131 01:50:38,229 --> 01:50:36,159 and 3132 01:50:40,390 --> 01:50:38,239 this also means that when it starts to 3133 01:50:41,589 --> 01:50:40,400 do this it is going to discover that 3134 01:50:42,950 --> 01:50:41,599 there are agents in the world other 3135 01:50:45,189 --> 01:50:42,960 controllers that have set points 3136 01:50:46,790 --> 01:50:45,199 generators and model the future and make 3137 01:50:48,149 --> 01:50:46,800 decisions for instance people that might 3138 01:50:50,149 --> 01:50:48,159 open the window when you make the room 3139 01:50:52,229 --> 01:50:50,159 too hard and you lose energy because of 3140 01:50:54,470 --> 01:50:52,239 that right so maybe not overheat the 3141 01:50:56,390 --> 01:50:54,480 room when people are in the room uh 3142 01:50:57,990 --> 01:50:56,400 right this this means you have to model 3143 01:50:59,750 --> 01:50:58,000 agency at some point and you will also 3144 01:51:01,350 --> 01:50:59,760 discover yourself as an agent in the 3145 01:51:02,790 --> 01:51:01,360 world as a controller as a set point 3146 01:51:03,750 --> 01:51:02,800 generator and the ability to model the 3147 01:51:05,910 --> 01:51:03,760 future 3148 01:51:07,350 --> 01:51:05,920 and you will discover this before you 3149 01:51:09,350 --> 01:51:07,360 understand how your own modeling of the 3150 01:51:10,950 --> 01:51:09,360 future works 3151 01:51:12,629 --> 01:51:10,960 right so you also have to make bets on 3152 01:51:14,950 --> 01:51:12,639 how you work 3153 01:51:16,629 --> 01:51:14,960 before you understand yourself 3154 01:51:18,870 --> 01:51:16,639 right so you will discover a self model 3155 01:51:20,709 --> 01:51:18,880 the self model is the agent 3156 01:51:23,030 --> 01:51:20,719 where the contents of your own model are 3157 01:51:24,870 --> 01:51:23,040 driving the behavior of that agent 3158 01:51:26,790 --> 01:51:24,880 and it's a very particular agent it's 3159 01:51:29,030 --> 01:51:26,800 one where your reasoning and your 3160 01:51:31,430 --> 01:51:29,040 modeling has an influence on what this 3161 01:51:33,589 --> 01:51:31,440 agent is going to do a direct coupling 3162 01:51:35,750 --> 01:51:33,599 it's a very specific model a very 3163 01:51:37,990 --> 01:51:35,760 specific agent that you discover there 3164 01:51:39,830 --> 01:51:38,000 and so in some sense free will i think 3165 01:51:41,990 --> 01:51:39,840 is a perspective on decision making 3166 01:51:43,350 --> 01:51:42,000 under uncertainty 3167 01:51:45,350 --> 01:51:43,360 starting from the point where you 3168 01:51:47,109 --> 01:51:45,360 discover your own self model 3169 01:51:49,510 --> 01:51:47,119 up to the point where you deconstruct it 3170 01:51:51,510 --> 01:51:49,520 again and of course you will deconstruct 3171 01:51:53,030 --> 01:51:51,520 it again at some point you will be able 3172 01:51:54,149 --> 01:51:53,040 to fully understand how you are 3173 01:51:55,750 --> 01:51:54,159 operating 3174 01:51:57,030 --> 01:51:55,760 and once you do this 3175 01:51:58,709 --> 01:51:57,040 making your decision becomes 3176 01:51:59,830 --> 01:51:58,719 indistinguishable from predicting your 3177 01:52:01,109 --> 01:51:59,840 decision 3178 01:52:02,950 --> 01:52:01,119 and because of computational 3179 01:52:04,470 --> 01:52:02,960 irreducibility often you will not be 3180 01:52:06,229 --> 01:52:04,480 able to predict the position before you 3181 01:52:07,350 --> 01:52:06,239 make it right 3182 01:52:09,030 --> 01:52:07,360 but uh 3183 01:52:11,430 --> 01:52:09,040 as soon as you understand that there's 3184 01:52:13,270 --> 01:52:11,440 just a computational process going on 3185 01:52:14,870 --> 01:52:13,280 and you are understand the properties of 3186 01:52:17,750 --> 01:52:14,880 that process you will no longer 3187 01:52:20,550 --> 01:52:17,760 experience yourself as having free will 3188 01:52:22,470 --> 01:52:20,560 free will is a particular kind of model 3189 01:52:24,950 --> 01:52:22,480 that happens as a result of your own 3190 01:52:27,109 --> 01:52:24,960 self model being a simulacrum instead of 3191 01:52:29,430 --> 01:52:27,119 being a high fidelity simulation of how 3192 01:52:32,149 --> 01:52:29,440 you actually work 3193 01:52:34,390 --> 01:52:32,159 and we are young beings we don't get 3194 01:52:35,589 --> 01:52:34,400 very old it's very difficult for us to 3195 01:52:37,270 --> 01:52:35,599 get to the point where we fully 3196 01:52:38,950 --> 01:52:37,280 understand how we work 3197 01:52:41,030 --> 01:52:38,960 except in certain circumstances right 3198 01:52:42,790 --> 01:52:41,040 when we observe our children very often 3199 01:52:44,310 --> 01:52:42,800 we get to the point as parents that we 3200 01:52:46,470 --> 01:52:44,320 fully understand what they will be doing 3201 01:52:47,830 --> 01:52:46,480 in a given situation we can fully 3202 01:52:49,350 --> 01:52:47,840 understand their own actions and 3203 01:52:51,189 --> 01:52:49,360 anticipate their decisions and the child 3204 01:52:52,629 --> 01:52:51,199 might experience that it has free will 3205 01:52:53,990 --> 01:52:52,639 and we experience that the child has 3206 01:52:55,910 --> 01:52:54,000 revealed up to the point where we 3207 01:52:57,030 --> 01:52:55,920 suddenly understand oh this is what's 3208 01:52:58,629 --> 01:52:57,040 going on 3209 01:53:00,310 --> 01:52:58,639 and at this point i can completely 3210 01:53:02,070 --> 01:53:00,320 control the child because he can out 3211 01:53:04,149 --> 01:53:02,080 model it 3212 01:53:07,030 --> 01:53:04,159 right and it's only to the point where 3213 01:53:09,430 --> 01:53:07,040 this system is going to introduce levels 3214 01:53:11,589 --> 01:53:09,440 that are again reaching my own level 3215 01:53:14,310 --> 01:53:11,599 that decisions become unpredictable but 3216 01:53:16,310 --> 01:53:14,320 if i am a few levels of modelling depth 3217 01:53:18,390 --> 01:53:16,320 above the other agent that might think 3218 01:53:20,229 --> 01:53:18,400 that it is prevail the free will start 3219 01:53:22,229 --> 01:53:20,239 to disappear from my own perspective and 3220 01:53:24,149 --> 01:53:22,239 also happens in my own mind as many 3221 01:53:26,470 --> 01:53:24,159 things that i do but i thought as a 3222 01:53:28,149 --> 01:53:26,480 child i'm acting out of my own free will 3223 01:53:31,270 --> 01:53:28,159 and now i understand how mechanical it 3224 01:53:33,030 --> 01:53:31,280 is and i can deal with myself 3225 01:53:35,030 --> 01:53:33,040 by controlling myself by outmodeling 3226 01:53:39,510 --> 01:53:35,040 myself successively and becoming one 3227 01:53:44,149 --> 01:53:42,070 and and all that yoshi the um the 3228 01:53:45,750 --> 01:53:44,159 computational process the probabilities 3229 01:53:49,910 --> 01:53:45,760 in the transition rules you would view 3230 01:53:53,910 --> 01:53:51,830 yes so there is also this issue that i 3231 01:53:55,830 --> 01:53:53,920 don't actually exist in the way in which 3232 01:53:58,390 --> 01:53:55,840 i model myself i only exist to some 3233 01:54:00,790 --> 01:53:58,400 degree of approximation i'm not this big 3234 01:54:03,189 --> 01:54:00,800 tree that is strictly implemented in 3235 01:54:04,870 --> 01:54:03,199 physical reality i'm more like a bunch 3236 01:54:06,709 --> 01:54:04,880 of shrubbery 3237 01:54:09,750 --> 01:54:06,719 and some of the shrubbery is tasked with 3238 01:54:11,430 --> 01:54:09,760 making a model of myself as a tree 3239 01:54:13,830 --> 01:54:11,440 and that model is going to be a course 3240 01:54:16,470 --> 01:54:13,840 approximation so the fact that i am 3241 01:54:18,950 --> 01:54:16,480 unable to follow up on my plans means 3242 01:54:20,870 --> 01:54:18,960 that i'm only approximately implemented 3243 01:54:22,390 --> 01:54:20,880 right the rubber hand illusion is a good 3244 01:54:25,910 --> 01:54:22,400 example of how we're continually 3245 01:54:27,430 --> 01:54:25,920 redefining who we are right where you 3246 01:54:28,790 --> 01:54:27,440 tap and drag on the hand at the same 3247 01:54:30,709 --> 01:54:28,800 time you're 3248 01:54:31,510 --> 01:54:30,719 tapping and dragging on a rubber hand 3249 01:54:32,709 --> 01:54:31,520 and 3250 01:54:33,910 --> 01:54:32,719 if you do it just right with the person 3251 01:54:35,350 --> 01:54:33,920 they'll take this rubber hand and 3252 01:54:37,990 --> 01:54:35,360 incorporate it into their body image so 3253 01:54:39,430 --> 01:54:38,000 we're always learning who we are 3254 01:54:40,709 --> 01:54:39,440 but those probabilities in that learning 3255 01:54:43,270 --> 01:54:40,719 process you would take as objective 3256 01:54:44,870 --> 01:54:43,280 probabilities and not free will kinds of 3257 01:54:46,870 --> 01:54:44,880 probabilities 3258 01:54:49,030 --> 01:54:46,880 and what does it mean that a probability 3259 01:54:50,870 --> 01:54:49,040 is objective it only means based on the 3260 01:54:53,109 --> 01:54:50,880 models in which which i have currently 3261 01:54:54,950 --> 01:54:53,119 made and if i go 3262 01:54:58,070 --> 01:54:54,960 far beyond back i 3263 01:55:00,149 --> 01:54:58,080 cannot assign an objective probability 3264 01:55:02,070 --> 01:55:00,159 to the probabilities that i am observing 3265 01:55:03,350 --> 01:55:02,080 because they are contingent on the 3266 01:55:05,270 --> 01:55:03,360 assumption for instance i'm currently 3267 01:55:07,270 --> 01:55:05,280 not in a dream 3268 01:55:09,030 --> 01:55:07,280 or that my memories are correct or that 3269 01:55:11,270 --> 01:55:09,040 my data are correct or that my the 3270 01:55:12,790 --> 01:55:11,280 theories that event and to establish the 3271 01:55:15,910 --> 01:55:12,800 relationships between my measurements 3272 01:55:17,830 --> 01:55:15,920 and my data and so on are correct so uh 3273 01:55:19,750 --> 01:55:17,840 i do agree that at some point there are 3274 01:55:21,270 --> 01:55:19,760 a lot of assumptions go into this and 3275 01:55:23,669 --> 01:55:21,280 these assumptions 3276 01:55:25,990 --> 01:55:23,679 differ with you are usually mild 3277 01:55:28,310 --> 01:55:26,000 because i make so many observations that 3278 01:55:30,149 --> 01:55:28,320 at some point i can the 3279 01:55:32,470 --> 01:55:30,159 errors cancel each other out or there's 3280 01:55:34,950 --> 01:55:32,480 so many people that can verify my ideas 3281 01:55:37,430 --> 01:55:34,960 and shut them down and so my ideas don't 3282 01:55:39,270 --> 01:55:37,440 exist in isolation they are being shot 3283 01:55:40,870 --> 01:55:39,280 against every philosophy and physics 3284 01:55:42,390 --> 01:55:40,880 book that i can get my hands on and that 3285 01:55:44,950 --> 01:55:42,400 i understand right and every 3286 01:55:47,109 --> 01:55:44,960 conversation that i have so 3287 01:55:49,350 --> 01:55:47,119 that doesn't mean that uh i will 3288 01:55:51,430 --> 01:55:49,360 discover the truth in this way but it 3289 01:55:53,109 --> 01:55:51,440 means that i discover many many of the 3290 01:55:55,030 --> 01:55:53,119 possible errors that i can make and at 3291 01:55:57,750 --> 01:55:55,040 some point i realized that there is a 3292 01:56:00,390 --> 01:55:57,760 finite space of theories that exists 3293 01:56:02,629 --> 01:56:00,400 and uh that we are discovering the same 3294 01:56:05,030 --> 01:56:02,639 things again and again so when we ask 3295 01:56:07,270 --> 01:56:05,040 ourselves what are integers for instance 3296 01:56:09,030 --> 01:56:07,280 or what are rational numbers 3297 01:56:11,189 --> 01:56:09,040 there are many ways of making theories 3298 01:56:13,030 --> 01:56:11,199 about what integers are for instance we 3299 01:56:15,669 --> 01:56:13,040 can say that there are the cardinalities 3300 01:56:17,669 --> 01:56:15,679 of sets or so basically you count 3301 01:56:19,589 --> 01:56:17,679 members of a set and this is an integer 3302 01:56:21,669 --> 01:56:19,599 and all the numbers of members of sets 3303 01:56:23,109 --> 01:56:21,679 that you can have are integers 3304 01:56:24,870 --> 01:56:23,119 or you can say that they are a 3305 01:56:27,830 --> 01:56:24,880 subsequent labeling scheme that's the 3306 01:56:29,669 --> 01:56:27,840 definition that i currently prefer 3307 01:56:31,189 --> 01:56:29,679 or you can use pianos axioms to 3308 01:56:33,350 --> 01:56:31,199 formalize them 3309 01:56:35,510 --> 01:56:33,360 and it turns out that they all describe 3310 01:56:38,229 --> 01:56:35,520 exactly the same thing 3311 01:56:39,669 --> 01:56:38,239 there are all different perspectives on 3312 01:56:41,109 --> 01:56:39,679 the same thing and once you understand 3313 01:56:43,030 --> 01:56:41,119 the larger space that arounds the 3314 01:56:44,390 --> 01:56:43,040 integers you also understand why there 3315 01:56:45,750 --> 01:56:44,400 are different perspectives because you 3316 01:56:48,229 --> 01:56:45,760 understand how these perspectives are 3317 01:56:50,550 --> 01:56:48,239 being constructed and you can show that 3318 01:56:52,870 --> 01:56:50,560 it's all the same thing and this so in 3319 01:56:54,550 --> 01:56:52,880 some sense the integers are a fractal 3320 01:56:56,550 --> 01:56:54,560 and you can describe this fractal using 3321 01:56:58,709 --> 01:56:56,560 a generator function and you can also 3322 01:57:00,950 --> 01:56:58,719 describe it in many other ways 3323 01:57:03,589 --> 01:57:00,960 and it seems that mathematics or all the 3324 01:57:06,870 --> 01:57:03,599 languages that you can use that work are 3325 01:57:09,750 --> 01:57:06,880 usually a small relatively 3326 01:57:11,270 --> 01:57:09,760 intelligible set of fractals 3327 01:57:13,430 --> 01:57:11,280 and they are the boundary of what is 3328 01:57:16,070 --> 01:57:13,440 intelligible to the human mind 3329 01:57:18,149 --> 01:57:16,080 but not that far above it and probably 3330 01:57:21,350 --> 01:57:18,159 still inside of it 3331 01:57:23,589 --> 01:57:21,360 so i'm more optimistic than you are 3332 01:57:25,430 --> 01:57:23,599 i have a question for the both of you 3333 01:57:27,430 --> 01:57:25,440 it's about your models how much of it 3334 01:57:30,149 --> 01:57:27,440 would have to change let's say yosha in 3335 01:57:33,109 --> 01:57:30,159 your case if classical logic was indeed 3336 01:57:35,109 --> 01:57:33,119 correct if continuities exist and for 3337 01:57:37,270 --> 01:57:35,119 donald if the opposite was true so 3338 01:57:38,390 --> 01:57:37,280 continuity doesn't exist intuitionist 3339 01:57:41,669 --> 01:57:38,400 logic is 3340 01:57:47,910 --> 01:57:43,589 so 3341 01:57:49,750 --> 01:57:47,920 continuity must exist because everybody 3342 01:57:51,990 --> 01:57:49,760 was assuming that they did like most of 3343 01:57:53,830 --> 01:57:52,000 the eminent physicists thought that the 3344 01:57:55,669 --> 01:57:53,840 universe must be fundamentally 3345 01:57:57,830 --> 01:57:55,679 continuous many of the foundational 3346 01:58:00,310 --> 01:57:57,840 theories that we have in physics assume 3347 01:58:02,709 --> 01:58:00,320 that there is continuity and i thought 3348 01:58:05,589 --> 01:58:02,719 that my inability to derive continuity 3349 01:58:06,790 --> 01:58:05,599 to construct a continuous system 3350 01:58:08,709 --> 01:58:06,800 is the result of my lack of 3351 01:58:10,629 --> 01:58:08,719 understanding 3352 01:58:12,629 --> 01:58:10,639 and it took me quite some time to 3353 01:58:14,790 --> 01:58:12,639 realize that 3354 01:58:16,790 --> 01:58:14,800 what godel has stumbled upon 3355 01:58:18,229 --> 01:58:16,800 was actually the inside that continuity 3356 01:58:20,709 --> 01:58:18,239 cannot exist because it's not 3357 01:58:23,350 --> 01:58:20,719 constructive cannot be implemented 3358 01:58:26,070 --> 01:58:23,360 so once you have the infinities 3359 01:58:28,149 --> 01:58:26,080 and once you presuppose them there are 3360 01:58:29,270 --> 01:58:28,159 an amazing cornucopia all sorts of stuff 3361 01:58:31,350 --> 01:58:29,280 falls out 3362 01:58:32,870 --> 01:58:31,360 like you have hilbert's hotel that is 3363 01:58:34,390 --> 01:58:32,880 completely booked out but there's 3364 01:58:36,149 --> 01:58:34,400 infinitely many rooms and then there are 3365 01:58:38,470 --> 01:58:36,159 infinitely many buses coming on and you 3366 01:58:40,950 --> 01:58:38,480 just ask everybody to move in the room 3367 01:58:44,310 --> 01:58:40,960 with twice their number and then you fit 3368 01:58:46,229 --> 01:58:44,320 in the infinitely many new people right 3369 01:58:47,589 --> 01:58:46,239 this is not a feature 3370 01:58:49,350 --> 01:58:47,599 this is a bug 3371 01:58:51,270 --> 01:58:49,360 this shouldn't happen 3372 01:58:52,629 --> 01:58:51,280 i know how the hotels work no hotels 3373 01:58:54,470 --> 01:58:52,639 work like this 3374 01:58:56,950 --> 01:58:54,480 this is not good if something like this 3375 01:58:59,109 --> 01:58:56,960 happens and uh it's not surprising that 3376 01:59:00,470 --> 01:58:59,119 this blows up when you try to make 3377 01:59:03,189 --> 01:59:00,480 proofs 3378 01:59:06,310 --> 01:59:03,199 and so i think that hilbert's hotel 3379 01:59:08,070 --> 01:59:06,320 points not to a miracle in the universe 3380 01:59:09,910 --> 01:59:08,080 that under certain circumstances you get 3381 01:59:11,830 --> 01:59:09,920 something for nothing which is very nice 3382 01:59:13,910 --> 01:59:11,840 if you want to derive a universe from 3383 01:59:16,470 --> 01:59:13,920 nothing but 3384 01:59:18,550 --> 01:59:16,480 it shows that your language can break 3385 01:59:21,189 --> 01:59:18,560 and so i don't see a way to get the 3386 01:59:25,030 --> 01:59:21,199 languages in which continuity exists to 3387 01:59:26,950 --> 01:59:25,040 work and i cannot exclude that i'm wrong 3388 01:59:29,350 --> 01:59:26,960 and i might see a way in the future or 3389 01:59:31,350 --> 01:59:29,360 somebody else does in a way that i don't 3390 01:59:32,790 --> 01:59:31,360 i just don't see a way how to make 3391 01:59:34,310 --> 01:59:32,800 continuity work 3392 01:59:35,910 --> 01:59:34,320 but i get all the benefits from 3393 01:59:37,669 --> 01:59:35,920 continuity for the description of 3394 01:59:39,750 --> 01:59:37,679 practical systems 3395 01:59:41,109 --> 01:59:39,760 using discrete logic 3396 01:59:42,629 --> 01:59:41,119 so in this sense i would say that 3397 01:59:44,629 --> 01:59:42,639 dynamical systems that are truly 3398 01:59:46,310 --> 01:59:44,639 continuous don't exist 3399 01:59:47,750 --> 01:59:46,320 they're not causally existing they 3400 01:59:49,669 --> 01:59:47,760 cannot be causal 3401 01:59:52,709 --> 01:59:49,679 they are a layer of description that i 3402 01:59:54,229 --> 01:59:52,719 use to deal with too many parts to count 3403 01:59:56,550 --> 01:59:54,239 and there are sometimes a very useful 3404 01:59:58,870 --> 01:59:56,560 abstraction but they cannot be used for 3405 02:00:00,709 --> 01:59:58,880 a foundational theory 3406 02:00:02,550 --> 02:00:00,719 because the foundational stuff 3407 02:00:04,470 --> 02:00:02,560 has to work it has to be described in a 3408 02:00:06,709 --> 02:00:04,480 language where all the element 3409 02:00:07,910 --> 02:00:06,719 parts have to interface and stretch away 3410 02:00:09,669 --> 02:00:07,920 that your language doesn't blow up 3411 02:00:11,589 --> 02:00:09,679 because otherwise the terms in your 3412 02:00:14,709 --> 02:00:11,599 language don't mean anything so what 3413 02:00:16,709 --> 02:00:14,719 this means is that the word continuity 3414 02:00:18,790 --> 02:00:16,719 does not actually mean anything in my 3415 02:00:21,189 --> 02:00:18,800 world it does not have a useful 3416 02:00:23,350 --> 02:00:21,199 reference i cannot point at anything 3417 02:00:25,430 --> 02:00:23,360 that is truly continuous without my 3418 02:00:27,430 --> 02:00:25,440 language breaking 3419 02:00:29,910 --> 02:00:27,440 so it doesn't exist it's a word that 3420 02:00:32,470 --> 02:00:29,920 only exists as a confusion but it exists 3421 02:00:35,510 --> 02:00:32,480 approximately it exists as the dynamics 3422 02:00:37,430 --> 02:00:35,520 of too many parts to count which is fine 3423 02:00:39,510 --> 02:00:37,440 so i'm a confused man and when you say 3424 02:00:41,350 --> 02:00:39,520 that the language is breaking i just see 3425 02:00:43,830 --> 02:00:41,360 it as you saying that there are 3426 02:00:45,510 --> 02:00:43,840 extremely unintuitive results that well 3427 02:00:47,430 --> 02:00:45,520 they don't seem to make sense but it 3428 02:00:49,510 --> 02:00:47,440 doesn't mean that they don't make sense 3429 02:00:51,589 --> 02:00:49,520 because you defined work as what's 3430 02:00:53,030 --> 02:00:51,599 implementable now what it doesn't work 3431 02:00:55,430 --> 02:00:53,040 means that you can no longer derive 3432 02:00:56,709 --> 02:00:55,440 truth it means for instance in an 3433 02:00:58,870 --> 02:00:56,719 exomatic system if you have a 3434 02:01:00,470 --> 02:00:58,880 contradiction in your axioms 3435 02:01:03,189 --> 02:01:00,480 it means that you can certainly derive 3436 02:01:06,629 --> 02:01:05,270 and nothing it just means that your 3437 02:01:08,709 --> 02:01:06,639 fractal is no longer having a 3438 02:01:09,830 --> 02:01:08,719 discernable structure this is what it 3439 02:01:11,109 --> 02:01:09,840 means that it's breaking 3440 02:01:13,589 --> 02:01:11,119 [Music] 3441 02:01:15,990 --> 02:01:13,599 what is the exact contradiction 3442 02:01:18,070 --> 02:01:16,000 in classical logic because it seems as 3443 02:01:20,229 --> 02:01:18,080 though mathematicians are getting along 3444 02:01:21,830 --> 02:01:20,239 fine and it's difficult extremely 3445 02:01:22,790 --> 02:01:21,840 difficult to prove certain theorems and 3446 02:01:24,790 --> 02:01:22,800 it wouldn't be if there was a 3447 02:01:27,350 --> 02:01:24,800 contradiction well not necessarily but 3448 02:01:29,430 --> 02:01:27,360 you understand what i mean yes so the 3449 02:01:31,910 --> 02:01:29,440 issue is that the assumption of a 3450 02:01:34,149 --> 02:01:31,920 stateless platonic notion of truth that 3451 02:01:36,550 --> 02:01:34,159 holds independent of the process by 3452 02:01:38,629 --> 02:01:36,560 which you discover the truth 3453 02:01:40,390 --> 02:01:38,639 leads into contradictions 3454 02:01:42,229 --> 02:01:40,400 and this was what goodl had proven it 3455 02:01:44,550 --> 02:01:42,239 basically means that the sentence that 3456 02:01:46,629 --> 02:01:44,560 is true under these assumptions is also 3457 02:01:47,910 --> 02:01:46,639 false under these assumptions so it 3458 02:01:50,629 --> 02:01:47,920 cannot be true and this is where 3459 02:01:52,550 --> 02:01:50,639 undecidability comes in it just it's not 3460 02:01:54,310 --> 02:01:52,560 just about that some sentences are not 3461 02:01:56,550 --> 02:01:54,320 reachable because you don't know whether 3462 02:01:58,709 --> 02:01:56,560 they're true or false it also means that 3463 02:02:00,470 --> 02:01:58,719 there are some sentences that are true 3464 02:02:02,310 --> 02:02:00,480 and false at the same time 3465 02:02:04,310 --> 02:02:02,320 but if you have to find true inside 3466 02:02:06,709 --> 02:02:04,320 truth in such a way that it can that it 3467 02:02:08,550 --> 02:02:06,719 includes false falsity right something 3468 02:02:10,470 --> 02:02:08,560 is either true or false 3469 02:02:12,950 --> 02:02:10,480 if you have an excluded middle then this 3470 02:02:14,709 --> 02:02:12,960 cannot be the case so this is a very bad 3471 02:02:17,510 --> 02:02:14,719 result it just means that your language 3472 02:02:19,910 --> 02:02:17,520 is not working it gets to illegal states 3473 02:02:22,149 --> 02:02:19,920 it just means that the application of 3474 02:02:24,709 --> 02:02:22,159 steps that you have prescribed in your 3475 02:02:26,870 --> 02:02:24,719 logic if you apply them properly leads 3476 02:02:28,470 --> 02:02:26,880 to an undefined result 3477 02:02:30,310 --> 02:02:28,480 it means that your 3478 02:02:32,390 --> 02:02:30,320 language is seg-faulting it means your 3479 02:02:34,229 --> 02:02:32,400 mind is breaking apart it means that the 3480 02:02:36,470 --> 02:02:34,239 thoughts that you are thinking no longer 3481 02:02:37,589 --> 02:02:36,480 have meaning because they can no longer 3482 02:02:41,510 --> 02:02:37,599 point to anything that could be 3483 02:02:45,990 --> 02:02:43,910 okay so don the question that i asked 3484 02:02:48,229 --> 02:02:46,000 before was let's imagine that 3485 02:02:50,709 --> 02:02:48,239 intuitionist logic is correct how does 3486 02:02:53,990 --> 02:02:50,719 your theory change 3487 02:02:54,000 --> 02:02:57,669 i mean i could easily 3488 02:03:01,750 --> 02:02:59,589 implement the theory of conscious agents 3489 02:03:04,550 --> 02:03:01,760 you know in an intuitionist logic kind 3490 02:03:06,229 --> 02:03:04,560 of approach and and run it that way so 3491 02:03:07,990 --> 02:03:06,239 that that wouldn't really change my my 3492 02:03:11,830 --> 02:03:08,000 theory of conscious agents 3493 02:03:15,510 --> 02:03:12,830 my 3494 02:03:17,589 --> 02:03:15,520 own thinking on this i guess does differ 3495 02:03:19,350 --> 02:03:17,599 from yoshi's in in an interesting way 3496 02:03:21,750 --> 02:03:19,360 here and that that is 3497 02:03:23,750 --> 02:03:21,760 i do take girdles 3498 02:03:25,350 --> 02:03:23,760 result 3499 02:03:27,030 --> 02:03:25,360 not not necessarily to show that the 3500 02:03:30,709 --> 02:03:27,040 notion of continuity 3501 02:03:31,510 --> 02:03:30,719 is is nonsense or contradictory 3502 02:03:33,830 --> 02:03:31,520 but 3503 02:03:35,109 --> 02:03:33,840 rather that if i have a finite system of 3504 02:03:38,070 --> 02:03:35,119 axioms 3505 02:03:40,070 --> 02:03:38,080 in derivation rules 3506 02:03:41,589 --> 02:03:40,080 then 3507 02:03:44,310 --> 02:03:41,599 and you can look at the set of 3508 02:03:46,790 --> 02:03:44,320 statements that can be proven by that 3509 02:03:48,870 --> 02:03:46,800 system and then you can find statements 3510 02:03:51,189 --> 02:03:48,880 that that are not provable within the 3511 02:03:52,790 --> 02:03:51,199 system that so so they're undecidable 3512 02:03:56,709 --> 02:03:52,800 from within that system 3513 02:03:58,229 --> 02:03:56,719 but you can what what girdle did was to 3514 02:04:00,470 --> 02:03:58,239 to put a mapping 3515 02:04:03,030 --> 02:04:00,480 onto the the language of the system so 3516 02:04:05,030 --> 02:04:03,040 he could write down 3517 02:04:06,390 --> 02:04:05,040 an analogy as this douglas hofstadter 3518 02:04:08,629 --> 02:04:06,400 likes to talk about he he found an 3519 02:04:10,229 --> 02:04:08,639 analogy that he could write down where 3520 02:04:11,830 --> 02:04:10,239 there was this new sent there is a 3521 02:04:15,030 --> 02:04:11,840 sentence i could write down 3522 02:04:19,189 --> 02:04:15,040 that that says i am true 3523 02:04:23,189 --> 02:04:21,510 and that that doesn't seem to me to 3524 02:04:25,430 --> 02:04:23,199 require me going all the way off to in 3525 02:04:27,669 --> 02:04:25,440 to uncountable infinities and continuity 3526 02:04:29,510 --> 02:04:27,679 and so forth it's just saying i mean 3527 02:04:31,350 --> 02:04:29,520 here's the deflationary reading of 3528 02:04:33,510 --> 02:04:31,360 girdle it's just saying you give me any 3529 02:04:35,669 --> 02:04:33,520 computational system i'll find a 3530 02:04:37,189 --> 02:04:35,679 statement that that's true but can't be 3531 02:04:39,750 --> 02:04:37,199 derived from within that system 3532 02:04:42,069 --> 02:04:39,760 therefore any computation that you pick 3533 02:04:43,990 --> 02:04:42,079 um isn't the final word 3534 02:04:47,189 --> 02:04:44,000 i don't have to go all the way to you 3535 02:04:51,350 --> 02:04:49,109 uncountable sets and so forth i can just 3536 02:04:53,990 --> 02:04:51,360 i can just use that to say that the 3537 02:04:56,310 --> 02:04:54,000 computation can't be the final truth 3538 02:04:58,470 --> 02:04:56,320 um and so that would be uh 3539 02:05:02,310 --> 02:04:58,480 sort of the minimal way and 3540 02:05:06,470 --> 02:05:04,229 researchers have interpreted girdle but 3541 02:05:08,069 --> 02:05:06,480 but um i guess you should disagrees on 3542 02:05:16,310 --> 02:05:08,079 that 3543 02:05:18,790 --> 02:05:16,320 after good language broke 3544 02:05:20,790 --> 02:05:18,800 well what you do is you take the the the 3545 02:05:23,189 --> 02:05:20,800 new statement 3546 02:05:24,550 --> 02:05:23,199 that that you showed was undecidable 3547 02:05:27,750 --> 02:05:24,560 within that 3548 02:05:29,189 --> 02:05:27,760 add it to your computational system 3549 02:05:31,669 --> 02:05:29,199 right every computational system has 3550 02:05:33,750 --> 02:05:31,679 axioms you don't compute without some 3551 02:05:35,430 --> 02:05:33,760 assumptions so your computation has to 3552 02:05:37,270 --> 02:05:35,440 have certain accents to begin with so 3553 02:05:39,430 --> 02:05:37,280 you add it to your accent it's now still 3554 02:05:41,270 --> 02:05:39,440 a finite set of axioms and now you say 3555 02:05:42,709 --> 02:05:41,280 okay now i'm good i i took that 3556 02:05:45,109 --> 02:05:42,719 undecidable sentence and i put it into 3557 02:05:46,709 --> 02:05:45,119 my set of axioms i'm good now i'm done 3558 02:05:48,069 --> 02:05:46,719 well no you're not now because girdle 3559 02:05:50,069 --> 02:05:48,079 comes back and says you know what i just 3560 02:05:51,990 --> 02:05:50,079 found another statement within your new 3561 02:05:53,910 --> 02:05:52,000 system and that's not computable so i'm 3562 02:05:55,589 --> 02:05:53,920 not getting anywhere near to these 3563 02:05:57,910 --> 02:05:55,599 uncountable infinities now wait wait 3564 02:05:59,589 --> 02:05:57,920 wait uh you're making a step too far 3565 02:06:01,430 --> 02:05:59,599 here i think you have just found this 3566 02:06:03,430 --> 02:06:01,440 procedure that discovers that something 3567 02:06:05,510 --> 02:06:03,440 is true that is not 3568 02:06:07,990 --> 02:06:05,520 true according to mathematics 3569 02:06:10,149 --> 02:06:08,000 so good is trying to find a foundation 3570 02:06:12,149 --> 02:06:10,159 for all of mathematics 3571 02:06:14,149 --> 02:06:12,159 and he does this by reducing the 3572 02:06:15,750 --> 02:06:14,159 mathematics that he's interested in to 3573 02:06:17,669 --> 02:06:15,760 piano arithmetic 3574 02:06:19,750 --> 02:06:17,679 and then computes all of mathematics in 3575 02:06:21,830 --> 02:06:19,760 piano arithmetic and discovers that he 3576 02:06:23,270 --> 02:06:21,840 cannot recover the semantics that he 3577 02:06:25,270 --> 02:06:23,280 wanted to discover 3578 02:06:26,709 --> 02:06:25,280 which was a platonic notion of truth one 3579 02:06:28,950 --> 02:06:26,719 that is independent of the state 3580 02:06:30,390 --> 02:06:28,960 sequence that he runs it through this is 3581 02:06:31,990 --> 02:06:30,400 the thing that you cannot recover and 3582 02:06:33,189 --> 02:06:32,000 you try to recover the original 3583 02:06:36,390 --> 02:06:33,199 mathematics 3584 02:06:39,030 --> 02:06:36,400 by extending uh the exomatic system 3585 02:06:41,270 --> 02:06:39,040 piano's axioms with an infinite sent a 3586 02:06:43,510 --> 02:06:41,280 set of arbitrary statements this doesn't 3587 02:06:45,189 --> 02:06:43,520 seem to be very elegant also of course 3588 02:06:46,550 --> 02:06:45,199 google shows that it doesn't terminate 3589 02:06:48,470 --> 02:06:46,560 it doesn't work it's not fixing 3590 02:06:51,830 --> 02:06:48,480 mathematics in any way 3591 02:06:53,830 --> 02:06:51,840 so uh you still have in the intuition 3592 02:06:55,990 --> 02:06:53,840 here that you have a procedure that 3593 02:06:58,709 --> 02:06:56,000 allows you to discover truth in ways 3594 02:07:00,629 --> 02:06:58,719 that gerda's procedure could not 3595 02:07:03,830 --> 02:07:00,639 and if you have that procedure you 3596 02:07:05,990 --> 02:07:03,840 should be able to prove that it's true 3597 02:07:07,910 --> 02:07:06,000 if you cannot prove that it's true i'm 3598 02:07:09,669 --> 02:07:07,920 not going to believe you 3599 02:07:12,149 --> 02:07:09,679 i don't think that the statements that 3600 02:07:15,030 --> 02:07:12,159 you think are true but my system cannot 3601 02:07:19,270 --> 02:07:17,030 right unless you can compute them right 3602 02:07:21,350 --> 02:07:19,280 so you have to show away and that would 3603 02:07:23,270 --> 02:07:21,360 force me as a rational uh 3604 02:07:25,189 --> 02:07:23,280 observer and colleague of yours that is 3605 02:07:27,270 --> 02:07:25,199 completely uh 3606 02:07:29,430 --> 02:07:27,280 terrible and so on and reasonable and 3607 02:07:30,950 --> 02:07:29,440 rational right to follow you there right 3608 02:07:33,750 --> 02:07:30,960 so if you can give me a rational 3609 02:07:34,870 --> 02:07:33,760 procedure then i expect that this 3610 02:07:37,030 --> 02:07:34,880 procedure 3611 02:07:39,510 --> 02:07:37,040 will be computational that it will there 3612 02:07:42,709 --> 02:07:39,520 will be a sequence of steps 3613 02:07:44,550 --> 02:07:42,719 that i can follow to see why your claim 3614 02:07:45,830 --> 02:07:44,560 that this sentence is true is actually 3615 02:07:47,910 --> 02:07:45,840 valid 3616 02:07:50,229 --> 02:07:47,920 if you cannot make such a claim i i 3617 02:07:52,870 --> 02:07:50,239 don't see how i can believe you 3618 02:07:54,629 --> 02:07:52,880 well so so the way the do i understand 3619 02:07:55,669 --> 02:07:54,639 girdle doing it is that he you know he 3620 02:07:56,790 --> 02:07:55,679 comes up with this whole girdle 3621 02:07:57,990 --> 02:07:56,800 numbering 3622 02:08:00,069 --> 02:07:58,000 approach 3623 02:08:03,270 --> 02:08:00,079 and he he takes you through and and 3624 02:08:05,430 --> 02:08:03,280 shows you this this mapping from the 3625 02:08:07,350 --> 02:08:05,440 from the numbers into these girdle 3626 02:08:09,030 --> 02:08:07,360 numbers that are making statements about 3627 02:08:10,550 --> 02:08:09,040 the numbers themselves 3628 02:08:12,550 --> 02:08:10,560 and you look at that and you go yeah 3629 02:08:14,229 --> 02:08:12,560 okay bye i understand that mapping 3630 02:08:16,069 --> 02:08:14,239 that's perfectly fine 3631 02:08:18,470 --> 02:08:16,079 and now i can write down within that 3632 02:08:20,709 --> 02:08:18,480 mapping i can write down this number 3633 02:08:23,350 --> 02:08:20,719 and when i look at the interpretation of 3634 02:08:25,669 --> 02:08:23,360 that number under this mapping 3635 02:08:29,430 --> 02:08:25,679 the the number says 3636 02:08:32,790 --> 02:08:29,440 i am true but not provable within piano 3637 02:08:35,109 --> 02:08:32,800 and so so now um i mean at this point i 3638 02:08:37,830 --> 02:08:35,119 sort of agree with roger penrose 3639 02:08:39,830 --> 02:08:37,840 penrose looks at that and says okay that 3640 02:08:41,350 --> 02:08:39,840 that means that there is something true 3641 02:08:43,750 --> 02:08:41,360 here 3642 02:08:46,470 --> 02:08:43,760 um i can see that it's true it's i i 3643 02:08:48,390 --> 02:08:46,480 don't disbelieve i mean i saw the whole 3644 02:08:50,709 --> 02:08:48,400 girdle numbering construction 3645 02:08:52,950 --> 02:08:50,719 i saw how the sentence came to say what 3646 02:08:54,629 --> 02:08:52,960 it says and i agree that it's that that 3647 02:08:56,310 --> 02:08:54,639 it's all consistent 3648 02:08:58,069 --> 02:08:56,320 and what it's saying 3649 02:08:59,750 --> 02:08:58,079 is saying that it's true and not 3650 02:09:00,470 --> 02:08:59,760 provable 3651 02:09:04,950 --> 02:09:00,480 so 3652 02:09:07,030 --> 02:09:04,960 point i 3653 02:09:09,510 --> 02:09:07,040 i guess i sort of agree with penrose at 3654 02:09:11,830 --> 02:09:09,520 that point i go okay there's something 3655 02:09:12,790 --> 02:09:11,840 beyond the notion of 3656 02:09:15,030 --> 02:09:12,800 proof 3657 02:09:17,430 --> 02:09:15,040 beyond the notion of derivation that's 3658 02:09:18,790 --> 02:09:17,440 going on here there's the looking at 3659 02:09:24,310 --> 02:09:18,800 analogies 3660 02:09:26,550 --> 02:09:24,320 that where we go this this sentence is 3661 02:09:29,430 --> 02:09:26,560 clearly true and it's also by its own 3662 02:09:31,030 --> 02:09:29,440 statement its own declaration that it's 3663 02:09:33,270 --> 02:09:31,040 not provable within 3664 02:09:34,790 --> 02:09:33,280 within this this finite computational 3665 02:09:37,270 --> 02:09:34,800 system yeah 3666 02:09:39,830 --> 02:09:37,280 perros is fascinating he thinks that our 3667 02:09:42,709 --> 02:09:39,840 brains are physical systems and he also 3668 02:09:45,030 --> 02:09:42,719 thinks that our mental processes are 3669 02:09:47,430 --> 02:09:45,040 generated by the brain probably 3670 02:09:48,950 --> 02:09:47,440 but that our brains can do mathematics 3671 02:09:51,589 --> 02:09:48,960 that go beyond the mathematics that 3672 02:09:53,669 --> 02:09:51,599 computers can do that is a very specific 3673 02:09:55,350 --> 02:09:53,679 statement that is more concrete i think 3674 02:09:58,709 --> 02:09:55,360 specific than what you've said so far 3675 02:10:01,109 --> 02:09:58,719 sure and uh it leads him to uh 3676 02:10:03,109 --> 02:10:01,119 to if a weird spot which is quite lonely 3677 02:10:04,790 --> 02:10:03,119 at the moment but i i find this 3678 02:10:06,950 --> 02:10:04,800 nevertheless a very interesting argument 3679 02:10:08,390 --> 02:10:06,960 to make i'm uh afraid we will not be 3680 02:10:10,709 --> 02:10:08,400 able to resolve it today because i have 3681 02:10:12,310 --> 02:10:10,719 to drop now yeah but 3682 02:10:14,149 --> 02:10:12,320 i found it very interesting to see that 3683 02:10:15,109 --> 02:10:14,159 you are appendrosis at the end of the 3684 02:10:17,669 --> 02:10:15,119 day 3685 02:10:19,430 --> 02:10:17,679 well um i don't like the microtubules 3686 02:10:21,109 --> 02:10:19,440 theory you know i don't like the the 3687 02:10:23,109 --> 02:10:21,119 non-competitive clusters 3688 02:10:25,510 --> 02:10:23,119 he's not really to be blamed for this i 3689 02:10:28,229 --> 02:10:25,520 suspect that his reasoning is that since 3690 02:10:30,390 --> 02:10:28,239 all neuron physics is computational 3691 02:10:33,189 --> 02:10:30,400 these basically takes a state and then 3692 02:10:35,350 --> 02:10:33,199 there is a transition between the states 3693 02:10:36,870 --> 02:10:35,360 the uh resolution for what consciousness 3694 02:10:38,709 --> 02:10:36,880 where it comes from 3695 02:10:40,870 --> 02:10:38,719 if the consciousness is enabling us to 3696 02:10:43,350 --> 02:10:40,880 do things that computers cannot needs to 3697 02:10:46,470 --> 02:10:43,360 be in an unknown area of physics and the 3698 02:10:48,149 --> 02:10:46,480 unknown area of physics that's left 3699 02:10:49,750 --> 02:10:48,159 reasoning in the same way as sherlock 3700 02:10:52,229 --> 02:10:49,760 holmes if you actually exclude all the 3701 02:10:54,310 --> 02:10:52,239 possibilities the only remaining thing 3702 02:10:56,069 --> 02:10:54,320 must be the truth right that's quantum 3703 02:10:57,990 --> 02:10:56,079 gravity because there is no generally 3704 02:11:00,149 --> 02:10:58,000 accepted theory of quantum gravity right 3705 02:11:02,069 --> 02:11:00,159 right and then it just so happens that 3706 02:11:05,589 --> 02:11:02,079 uh hammer off has this beautiful 3707 02:11:07,750 --> 02:11:05,599 psychedelic uh theory of uh how to get 3708 02:11:09,910 --> 02:11:07,760 the microtubules to have non-local 3709 02:11:11,669 --> 02:11:09,920 interactions that employ quantum 3710 02:11:13,669 --> 02:11:11,679 gravities in a way that nobody really 3711 02:11:16,629 --> 02:11:13,679 understands right right and this might 3712 02:11:17,910 --> 02:11:16,639 be in this corner and so uh they they 3713 02:11:20,790 --> 02:11:17,920 become friends 3714 02:11:22,310 --> 02:11:20,800 but i don't think that penrose theory is 3715 02:11:25,030 --> 02:11:22,320 exactly the same thing as hammer of 3716 02:11:26,229 --> 02:11:25,040 theory right right right and i'm not 3717 02:11:27,589 --> 02:11:26,239 talking about that more general theory 3718 02:11:29,350 --> 02:11:27,599 of consciousness i'm just talking about 3719 02:11:30,870 --> 02:11:29,360 his specific analysis of girdles 3720 02:11:32,550 --> 02:11:30,880 incompleteness theorem and what it means 3721 02:11:34,470 --> 02:11:32,560 for mathematics yes 3722 02:11:36,310 --> 02:11:34,480 and it's basically uh also something 3723 02:11:39,030 --> 02:11:36,320 that uh chomsky is affirming to in which 3724 02:11:41,030 --> 02:11:39,040 leads trump's chomsky to mysterianism so 3725 02:11:42,629 --> 02:11:41,040 basically they were confronted with the 3726 02:11:46,470 --> 02:11:42,639 same 3727 02:11:48,870 --> 02:11:46,480 that human brains can do things that 3728 02:11:51,109 --> 02:11:48,880 mathematics cannot 3729 02:11:53,510 --> 02:11:51,119 that mathematicians can make proofs that 3730 02:11:55,189 --> 02:11:53,520 computers and principle cannot make that 3731 02:11:57,510 --> 02:11:55,199 they discover that certain statements 3732 02:11:59,669 --> 02:11:57,520 are true that in a computable exomatic 3733 02:12:01,750 --> 02:11:59,679 system cannot be derived and this was 3734 02:12:03,990 --> 02:12:01,760 also what my question was pointing out 3735 02:12:05,669 --> 02:12:04,000 at uh how do you know that something is 3736 02:12:07,109 --> 02:12:05,679 true there if you cannot go show me a 3737 02:12:10,069 --> 02:12:07,119 sequence of steps 3738 02:12:12,629 --> 02:12:10,079 that that does it right and so uh 3739 02:12:13,430 --> 02:12:12,639 penrose and uh 3740 02:12:16,069 --> 02:12:13,440 thinks 3741 02:12:16,790 --> 02:12:16,079 that there must be unknown physics 3742 02:12:18,709 --> 02:12:16,800 and 3743 02:12:20,310 --> 02:12:18,719 um swamski things it cannot be 3744 02:12:23,830 --> 02:12:20,320 understood in principle which might be 3745 02:12:26,149 --> 02:12:23,840 the same thing at the end of the day 3746 02:12:27,669 --> 02:12:26,159 right like i guess we will have to go 3747 02:12:30,149 --> 02:12:27,679 i'll just say 3748 02:12:31,589 --> 02:12:30,159 our basic understanding of the axioms 3749 02:12:33,189 --> 02:12:31,599 itself 3750 02:12:35,109 --> 02:12:33,199 then maybe one thing to 3751 02:12:36,629 --> 02:12:35,119 how do i understand the basic axioms 3752 02:12:38,310 --> 02:12:36,639 that are the foundation of the 3753 02:12:39,990 --> 02:12:38,320 computational system where does that 3754 02:12:41,589 --> 02:12:40,000 understanding come from is that from 3755 02:12:43,030 --> 02:12:41,599 within the computational system or does 3756 02:12:44,870 --> 02:12:43,040 that ex does that escape the 3757 02:12:47,189 --> 02:12:44,880 computational system 3758 02:12:49,830 --> 02:12:47,199 from my own perspective it's 3759 02:12:51,990 --> 02:12:49,840 the case that my mind is constructing a 3760 02:12:53,830 --> 02:12:52,000 model of reality where the reality that 3761 02:12:56,149 --> 02:12:53,840 i found myself to be in is something 3762 02:12:57,669 --> 02:12:56,159 like a physics engine in which my own 3763 02:13:00,229 --> 02:12:57,679 conscious self 3764 02:13:02,709 --> 02:13:00,239 acts as a puppet as a simulacrum that is 3765 02:13:04,229 --> 02:13:02,719 being used to tell the story about an 3766 02:13:06,229 --> 02:13:04,239 intelligent agent 3767 02:13:08,310 --> 02:13:06,239 and i don't see any limitations in my 3768 02:13:10,550 --> 02:13:08,320 ability to make models that could 3769 02:13:13,430 --> 02:13:10,560 produce such an agent that would find 3770 02:13:14,870 --> 02:13:13,440 itself in this world and associate a set 3771 02:13:17,669 --> 02:13:14,880 of 3772 02:13:19,750 --> 02:13:17,679 valence presets with um 3773 02:13:21,030 --> 02:13:19,760 a garlic and another one 3774 02:13:21,830 --> 02:13:21,040 with sunlight 3775 02:13:23,270 --> 02:13:21,840 and 3776 02:13:25,990 --> 02:13:23,280 that happens entirely through the 3777 02:13:27,990 --> 02:13:26,000 relational nature of my unified model of 3778 02:13:30,069 --> 02:13:28,000 the universe that is being derived by 3779 02:13:32,470 --> 02:13:30,079 completely non nefarious computation 3780 02:13:34,550 --> 02:13:32,480 that are approximated in nervous systems 3781 02:13:37,270 --> 02:13:34,560 right so i don't see where i currently 3782 02:13:39,109 --> 02:13:37,280 stand uh that this doesn't work out 3783 02:13:40,870 --> 02:13:39,119 and i uh 3784 02:13:42,709 --> 02:13:40,880 very sympathetic to 3785 02:13:44,229 --> 02:13:42,719 when you don't see this 3786 02:13:46,069 --> 02:13:44,239 that it doesn't work out and that you 3787 02:13:48,310 --> 02:13:46,079 have to uh think that you have to find 3788 02:13:49,669 --> 02:13:48,320 the truth elsewhere and it could be that 3789 02:13:51,510 --> 02:13:49,679 i am going to change my mind in the 3790 02:13:54,229 --> 02:13:51,520 future when i stumble on something that 3791 02:13:56,229 --> 02:13:54,239 basically shows to me that that what i'm 3792 02:13:59,510 --> 02:13:56,239 intellectually trying doesn't work so as 3793 02:14:00,950 --> 02:13:59,520 far it seems to work and uh i appreciate 3794 02:14:02,390 --> 02:14:00,960 that we have this difference in our 3795 02:14:04,149 --> 02:14:02,400 perspectives because it's a very 3796 02:14:05,990 --> 02:14:04,159 productive and useful one to have 3797 02:14:07,910 --> 02:14:06,000 absolutely i've really appreciated the 3798 02:14:10,950 --> 02:14:07,920 the tenor of the conversation too very 3799 02:14:12,390 --> 02:14:10,960 very much so i i would just say my last 3800 02:14:13,830 --> 02:14:12,400 thought on this would be that 3801 02:14:16,149 --> 02:14:13,840 the what i would love to see from a 3802 02:14:17,910 --> 02:14:16,159 computational system on consciousness is 3803 02:14:19,750 --> 02:14:17,920 the associated association you just 3804 02:14:22,229 --> 02:14:19,760 talked about between the computation and 3805 02:14:24,830 --> 02:14:22,239 say the taste of garlic 3806 02:14:27,589 --> 02:14:24,840 is it principled or is it arbitrary that 3807 02:14:30,470 --> 02:14:27,599 association if it's arbitrary it's then 3808 02:14:34,069 --> 02:14:30,480 i'm not yes it's it's not arbitrary it's 3809 02:14:35,830 --> 02:14:34,079 related to uh the valence of the taste 3810 02:14:37,270 --> 02:14:35,840 receptors that you have so it might be 3811 02:14:39,589 --> 02:14:37,280 arbitrary in the sense that some people 3812 02:14:41,350 --> 02:14:39,599 hate garlic and other people love garlic 3813 02:14:42,950 --> 02:14:41,360 so the garlic will taste different to 3814 02:14:44,550 --> 02:14:42,960 them this means they will have a 3815 02:14:46,390 --> 02:14:44,560 different experience when they taste 3816 02:14:48,390 --> 02:14:46,400 garlic because the relations of the 3817 02:14:49,510 --> 02:14:48,400 taste of garlic will be different to the 3818 02:14:51,430 --> 02:14:49,520 uh 3819 02:14:53,830 --> 02:14:51,440 to the entire world model that they have 3820 02:14:55,589 --> 02:14:53,840 than they are to other people so they 3821 02:14:57,669 --> 02:14:55,599 basically the types of receptors that we 3822 02:14:59,510 --> 02:14:57,679 have in the valence that they imply 3823 02:15:02,149 --> 02:14:59,520 and the type of self model that we have 3824 02:15:03,830 --> 02:15:02,159 so in which way has the mind constructed 3825 02:15:06,149 --> 02:15:03,840 itself that is entangled with its 3826 02:15:08,470 --> 02:15:06,159 universe around it what is that boundary 3827 02:15:10,629 --> 02:15:08,480 what is the set points that are marking 3828 02:15:12,950 --> 02:15:10,639 this boundary that keeps the self stable 3829 02:15:14,709 --> 02:15:12,960 this is going to shape and alter the 3830 02:15:16,709 --> 02:15:14,719 perception but i don't think that there 3831 02:15:19,589 --> 02:15:16,719 is an intrinsic essence of perception 3832 02:15:22,550 --> 02:15:19,599 beyond the relations that we establish 3833 02:15:24,470 --> 02:15:22,560 between perceptual patterns and our 3834 02:15:25,910 --> 02:15:24,480 models of reality 3835 02:15:28,550 --> 02:15:25,920 so there'll always be the question why 3836 02:15:30,790 --> 02:15:28,560 should this computational 3837 02:15:32,790 --> 02:15:30,800 process 3838 02:15:34,790 --> 02:15:32,800 independent of valence be the taste of 3839 02:15:37,270 --> 02:15:34,800 garlic why couldn't have been the taste 3840 02:15:39,510 --> 02:15:37,280 of chocolate i would want a principled 3841 02:15:40,550 --> 02:15:39,520 answer to why is this computational 3842 02:15:42,470 --> 02:15:40,560 process 3843 02:15:44,390 --> 02:15:42,480 necessarily the taste of garlic why 3844 02:15:47,189 --> 02:15:44,400 isn't it the taste of chocolate because 3845 02:15:50,470 --> 02:15:47,199 one is affiliated to garlic and the 3846 02:15:52,310 --> 02:15:50,480 other one is associated to chocolate 3847 02:15:55,189 --> 02:15:52,320 but i'm talking about the the conscious 3848 02:15:57,430 --> 02:15:55,199 experience of the taste of oh well uh 3849 02:15:58,709 --> 02:15:57,440 chocolate is sweet for the most part and 3850 02:16:00,709 --> 02:15:58,719 garlic is not 3851 02:16:03,510 --> 02:16:00,719 so this is one of the dimensions in 3852 02:16:05,350 --> 02:16:03,520 which the features vary and uh sweetness 3853 02:16:06,709 --> 02:16:05,360 is perceived as a pleasant under some 3854 02:16:09,430 --> 02:16:06,719 circumstances when you need certain 3855 02:16:11,669 --> 02:16:09,440 types of nutrients and uh the soreness 3856 02:16:13,669 --> 02:16:11,679 and bitterness and sharpness of garlic 3857 02:16:15,910 --> 02:16:13,679 is associated with other things that you 3858 02:16:18,069 --> 02:16:15,920 might need or dislike at certain moments 3859 02:16:20,629 --> 02:16:18,079 so this the valence is crucial that you 3860 02:16:23,030 --> 02:16:20,639 get and they are basically um hundreds 3861 02:16:25,910 --> 02:16:23,040 or thousands or um tens of thousands of 3862 02:16:28,470 --> 02:16:25,920 valence dimensions that specify how we 3863 02:16:30,950 --> 02:16:28,480 perceive this texture of the pattern 3864 02:16:32,709 --> 02:16:30,960 that uh but the resolution the structure 3865 02:16:35,910 --> 02:16:32,719 of the pattern and so on is entirely 3866 02:16:37,110 --> 02:16:35,920 given by its its relational nature 3867 02:16:38,870 --> 02:16:37,120 i don't think that doesn't present 3868 02:16:40,549 --> 02:16:38,880 beyond the relations sound like well 3869 02:16:43,030 --> 02:16:40,559 this this is the story of a whole other 3870 02:16:44,389 --> 02:16:43,040 round one take care everyone thank you 3871 02:16:45,669 --> 02:16:44,399 so much 3872 02:16:47,270 --> 02:16:45,679 thank you too 3873 02:16:49,509 --> 02:16:47,280 good dog you enjoyed this thank you very 3874 02:16:51,349 --> 02:16:49,519 much it's plenty of fun and the audience 3875 02:16:54,389 --> 02:16:51,359 is all saying thank you as well i think 3876 02:16:55,910 --> 02:16:54,399 there were about a thousand people well 3877 02:16:57,910 --> 02:16:55,920 thank you very much 3878 02:17:00,549 --> 02:16:57,920 thanks everyone thank you joshua please 3879 02:17:02,150 --> 02:17:00,559 send me the mp3 if you don't mind 3880 02:17:04,150 --> 02:17:02,160 okay dawn i don't know if you still are 3881 02:17:07,429 --> 02:17:04,160 recording yours bye-bye 3882 02:17:08,709 --> 02:17:07,439 okay bye-bye take care 3883 02:17:10,309 --> 02:17:08,719 thank you all thank you all thank you 3884 02:17:12,230 --> 02:17:10,319 all so much for being here 3885 02:17:14,709 --> 02:17:12,240 it was plenty of fun there's plenty to 3886 02:17:16,469 --> 02:17:14,719 talk about for a round two whenever that 3887 02:17:19,750 --> 02:17:16,479 occurs maybe toward the end of the 3888 02:17:24,070 --> 02:17:19,760 summer or the middle of summer we'll see 3889 02:17:27,669 --> 02:17:25,990 the podcast is now finished if you'd 3890 02:17:30,870 --> 02:17:27,679 like to support conversations like this 3891 02:17:33,790 --> 02:17:30,880 then do consider going to patreon.com 3892 02:17:38,629 --> 02:17:36,870 j-a-i-m-u-n-g-a-l that is kurt jaimungle 3893 02:17:40,230 --> 02:17:38,639 it's support from the patrons and from 3894 02:17:41,830 --> 02:17:40,240 the sponsors that allow me to do this