1 00:00:18,620 --> 00:00:24,140 Welcome to this rather special event in the Oxford Mathematics Public Lecture Series, 2 00:00:24,140 --> 00:00:29,930 in collaboration with Faber members to mark the publication of a play, 3 00:00:29,930 --> 00:00:36,770 AI is a strangely that I've been working on in collaboration with actress Victoria Gould. 4 00:00:36,770 --> 00:00:45,410 We're going to be joined by Simon McBurney, the founder of Complicity, for a three way conversation between all of us. 5 00:00:45,410 --> 00:07:51,460 But before that, we're going to join the audience at the Oxford Playhouse for a screening of a performance of AI is a strange loop. 6 00:07:51,460 --> 00:08:34,470 I mean. Why? 7 00:08:34,470 --> 00:08:43,140 Why? Why? 8 00:08:43,140 --> 00:08:52,050 Oh, one. One. 9 00:08:52,050 --> 00:09:02,660 One. Y equals one, y equals one. 10 00:09:02,660 --> 00:09:12,260 Y equals one. Multiply by. 11 00:09:12,260 --> 00:09:21,280 Y squared equals y. Take one. 12 00:09:21,280 --> 00:09:28,420 Y squared minus one equals y minus one. 13 00:09:28,420 --> 00:09:41,460 Factories. Why minus one times, why plus one equals y minus one? 14 00:09:41,460 --> 00:09:49,410 Cancel. Why plus one equals one? 15 00:09:49,410 --> 00:09:56,430 Therefore, y equals. Y equals zero. 16 00:09:56,430 --> 00:10:17,700 Hawaii doesn't exist. Identify why quantify one y equals one y equals one multiplied by y y squared equals y take one y squared 17 00:10:17,700 --> 00:10:23,530 minus one equals y minus one right y minus one times y plus one equals y minus one y plus one equals one. 18 00:10:23,530 --> 00:10:38,560 Therefore, y equals zero. Therefore, y doesn't exist. You can't divide by zero. 19 00:10:38,560 --> 00:10:48,380 Do. Identify. 20 00:10:48,380 --> 00:10:56,720 X. Quantify one unique. 21 00:10:56,720 --> 00:11:03,340 So X equals one, X equals one. 22 00:11:03,340 --> 00:11:12,670 Multiplied by yourself, x squared equals x differentiate with respect to yourself. 23 00:11:12,670 --> 00:11:17,650 Oh, two x equals one. Therefore X equals equals a ha ha. 24 00:11:17,650 --> 00:11:45,400 Oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh oh. 25 00:11:45,400 --> 00:11:49,690 Raise yourself to the power of Oh oh no, no, no, no, no. 26 00:11:49,690 --> 00:11:54,340 Oh zeros. Oh oh oh. 27 00:11:54,340 --> 00:12:00,850 X equals one. Oh oh oh. X x equals one. 28 00:12:00,850 --> 00:12:06,970 O X equals one. X X equals one. 29 00:12:06,970 --> 00:12:22,240 But you can't differentiates with respect to a constant. Identify the coordinates of your origin. 30 00:12:22,240 --> 00:12:31,480 There is the hair clip and the conjectural coordinates when your velocity vector hits zero. 31 00:12:31,480 --> 00:12:40,520 Out, out, out. Oh yes, out. 32 00:12:40,520 --> 00:12:52,120 How? Oh, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no, no. 33 00:12:52,120 --> 00:13:00,850 Oh. Oh, and define your terms. 34 00:13:00,850 --> 00:13:06,930 Oh, way out. This can't be all, there is a long line of rooms. 35 00:13:06,930 --> 00:13:18,250 Rooms. Yes. Rooms. Well, you've just created a singularity outside of my cube. 36 00:13:18,250 --> 00:13:36,060 Oh no. Oh. Oh. 37 00:13:36,060 --> 00:13:37,910 There exists. 38 00:13:37,910 --> 00:13:49,480 Another room and another room and another one and another one, they're all the same, it's room after room after room, an infinite number of rooms. 39 00:13:49,480 --> 00:13:55,100 No, I didn't say it was infinite. I said it's room after room after room. 40 00:13:55,100 --> 00:13:58,360 No, no. I think I can prove that it's infinite, really, 41 00:13:58,360 --> 00:14:09,640 how induction induction let pen be the inductive hypothesis that there are any rooms in this line that any one, my room exists. 42 00:14:09,640 --> 00:14:16,180 Therefore, p one is true. Well, that's the base step. Now suppose that p n is true. 43 00:14:16,180 --> 00:14:21,400 Well, I exit to find another room. I see Morphic to the room, therefore. 44 00:14:21,400 --> 00:14:25,210 And plus one is true. Well, that's the inductive step. 45 00:14:25,210 --> 00:14:32,800 Well, now apply the second order axiom of inductive logic for the natural numbers to prove that p n is true for all, 46 00:14:32,800 --> 00:14:36,990 and therefore the line of rooms is infinite. 47 00:14:36,990 --> 00:14:42,750 O quarterbacks demonstrating them? Yes, yes, but if it's infinite, then there's no way out. 48 00:14:42,750 --> 00:14:48,230 Well, there is no. Oh no, there must be something else. This can't be all very well. 49 00:14:48,230 --> 00:15:01,290 The manifold needs no ambient space to exist. It's just a room after room. 50 00:15:01,290 --> 00:15:48,990 After room after room, she fell to room for. 51 00:15:48,990 --> 00:15:55,090 It's. It's it's an x squared plus y squared plus x graphic was all sweat. 52 00:15:55,090 --> 00:15:59,720 It's an orange orange sphere. Yes. 53 00:15:59,720 --> 00:16:08,960 An orange sphere. Oh, the orange sphere is establishing a functional relationship with my nose. 54 00:16:08,960 --> 00:16:27,180 Oh, oh. Segment of the orange sphere has become embedded as a subset of why. 55 00:16:27,180 --> 00:16:47,530 Who? Mm-Hmm. 56 00:16:47,530 --> 00:16:56,570 Hmm. Whoa, oh, oh, no. 57 00:16:56,570 --> 00:17:06,160 Oh. Well. Mm hmm. 58 00:17:06,160 --> 00:17:22,850 Well. Or. 59 00:17:22,850 --> 00:17:34,300 Oh, redefined the origin of your orange sphere using the following equation X minus 14 squared plus y minus 14 squared plus two square off squared. 60 00:17:34,300 --> 00:17:49,130 But it's minus 14 squared plus y minus 14 squared plus six plus two squared equals all squared. 61 00:17:49,130 --> 00:18:09,130 One. One oh, one, oh, one oh, one oh one, oh, oh, oh, oh oh. 62 00:18:09,130 --> 00:18:33,560 One. One oh, one, oh, another one, one, two, three lots. 63 00:18:33,560 --> 00:18:43,460 Yes. Oh oh, the origin of the orange sphere should follow the following path defined by the equation Y equals z minus g divided by two z squared, 64 00:18:43,460 --> 00:18:57,620 which is the acceleration towards the floor. Oh, one, oh, one, oh, one, oh oh oh. 65 00:18:57,620 --> 00:19:13,360 I. One two, oh, one two one two oh one two one two, oh oh, another one one two three lots. 66 00:19:13,360 --> 00:19:15,030 Yes, ha ha. 67 00:19:15,030 --> 00:19:23,080 The origin of the orange sphere should follow the following path defined by the equation X equals each of the mind is sign t y equals each. 68 00:19:23,080 --> 00:19:27,150 The minus 60 and Z equals 170. 69 00:19:27,150 --> 00:19:32,830 Watts is a parameter running from one to infinity. That's not physically possible. 70 00:19:32,830 --> 00:19:37,250 Well, it's a well defined function. It's not physically possible. 71 00:19:37,250 --> 00:19:42,960 Oh no. An approximation would be acceptable. 72 00:19:42,960 --> 00:19:59,990 The orange sphere conjecture, really? Oh, oh, oh. 73 00:19:59,990 --> 00:20:06,900 Oh, well, that's surprisingly small, Epsilon. Oh one. 74 00:20:06,900 --> 00:20:25,200 One oh, one one two three oh, one two three one two three one two three one two one two three oh, another one one two three. 75 00:20:25,200 --> 00:20:30,840 No. Oh. Oh. 76 00:20:30,840 --> 00:20:38,730 Oh. Oh, an integer divider. 77 00:20:38,730 --> 00:20:44,660 Multiplication investor. Disconnected space creator. 78 00:20:44,660 --> 00:20:53,300 A knife, the knife, a knife. 79 00:20:53,300 --> 00:21:01,370 Knife. Knife. Knife, huh? Nine, nine. 80 00:21:01,370 --> 00:21:11,110 Oh. Oh, one two three four oh, one two three four one two three four oh one two three. 81 00:21:11,110 --> 00:21:14,320 What are you doing? I'm physically using No. 82 00:21:14,320 --> 00:21:21,670 Well, I've cut this orange sphere into a half with your knife, and now I have one two three four pieces of orange smear. 83 00:21:21,670 --> 00:21:29,780 Oh, if I cut this piece in half again with your knife, then I will have one two three four five pieces of orange spear. 84 00:21:29,780 --> 00:21:35,450 Well, if I apply the same inductive reasoning that proved the line of rooms was infinite, 85 00:21:35,450 --> 00:21:40,280 then after infinitely many cuts, I can have it pretty many pieces of art and spare. 86 00:21:40,280 --> 00:21:46,610 Oh, I'm afraid that's not physically possible. Well, it's going to take me some time. 87 00:21:46,610 --> 00:21:53,360 It would take you more than some time. Well, how much time it would take you an infinite amount of time. 88 00:21:53,360 --> 00:21:57,590 Oh, that is a long time, especially towards the end. 89 00:21:57,590 --> 00:22:03,210 Oh, you would have to spend the rest of time cutting that orange sphere. 90 00:22:03,210 --> 00:22:09,110 Oh. What if? 91 00:22:09,110 --> 00:22:13,600 I cut one orange sphere into a half in. 92 00:22:13,600 --> 00:22:15,430 Eight seconds. 93 00:22:15,430 --> 00:22:25,580 And then I cut a half into a half in four seconds, and then I cut a quarter into a half in two seconds and an eighth into a half in one second. 94 00:22:25,580 --> 00:22:31,330 I think I have in the hopes of getting it through the door because if you look in the right, I can see the pattern. 95 00:22:31,330 --> 00:22:36,880 Oh, good, because you see, after infinitely many cuts, I will have infinitely many pieces of our sphere, 96 00:22:36,880 --> 00:22:44,710 but it's not going to take me an infinite amount of time. Take me the song from any quiz minus three to infinity of two to the minus head. 97 00:22:44,710 --> 00:22:50,740 I can create infinity in 16 seconds. That's a lovely idea. 98 00:22:50,740 --> 00:22:54,700 Thank you. I'm afraid you won't be able to make it work in reality. 99 00:22:54,700 --> 00:22:59,130 Why not? Well, you'd have to keep cutting faster and faster, 100 00:22:59,130 --> 00:23:06,930 and eventually you'd be cutting so fast you'd hit the speed of light and nothing travels faster than the speed of light because speed is finite. 101 00:23:06,930 --> 00:23:09,410 No, I can do it. I can. 102 00:23:09,410 --> 00:23:18,510 And space to you can't keep dividing space at some point you'll hit the atom, split that in your blow the whole place sky high. 103 00:23:18,510 --> 00:23:23,630 Oh no, it's going to work. The maths makes perfect sense. 104 00:23:23,630 --> 00:23:27,260 Do it, then really do it. I'll time. 105 00:23:27,260 --> 00:23:31,580 You cut that orange into infinitely many pieces in 16 seconds. 106 00:23:31,580 --> 00:23:36,720 I will. I shall. Typekit wash. 107 00:23:36,720 --> 00:23:45,030 I'm going to enjoy this infinity created before my very eyes, your hand moving faster than the speed of light. 108 00:23:45,030 --> 00:23:50,160 My knife becoming so sharp it'll be capable of splitting the atom. 109 00:23:50,160 --> 00:24:01,160 Gosh, I better put on my safety goggles. Right. 110 00:24:01,160 --> 00:24:08,540 Fully prepared, what can go wrong? Are you ready? 111 00:24:08,540 --> 00:24:17,510 Yes. Pick up the knife. One Orange. 112 00:24:17,510 --> 00:24:23,800 16 seconds to create infinity. Ready. 113 00:24:23,800 --> 00:24:36,420 Cut one. Two, three, four, five, six seven. 114 00:24:36,420 --> 00:24:50,460 Eight, nine, 10, 11, 12, 13, 14, 15, 16. 115 00:24:50,460 --> 00:24:56,430 Stop, stop cutting. Put down the knife. 116 00:24:56,430 --> 00:25:07,020 Step away from the orange. So you have created infinity. 117 00:25:07,020 --> 00:25:15,130 I didn't realise that equations were quite so sticky, but you have created infinity. 118 00:25:15,130 --> 00:25:23,580 Whoa. Nearly. Oh, how far did you get on your way to creating infinity? 119 00:25:23,580 --> 00:25:28,620 One two three four five six seven seven. 120 00:25:28,620 --> 00:25:32,370 Well, I just need more practise, especially towards the end. 121 00:25:32,370 --> 00:25:37,440 I don't understand it. I can simply divide numbers up and add them all up. 122 00:25:37,440 --> 00:25:44,760 And why can't I do that to the orange sphere? Cause the orange is real, but infinity isn't. 123 00:25:44,760 --> 00:25:51,630 Infinity only exists in the imagination, not in real true life. 124 00:25:51,630 --> 00:25:58,920 It does. No, it doesn't. Does, doesn't, doesn't, does, doesn't, does, doesn't, doesn't, does, doesn't give. 125 00:25:58,920 --> 00:26:04,320 Infinity doesn't exist. What's the biggest number then? 126 00:26:04,320 --> 00:26:11,690 Oh, the biggest number is 73 million and 12. 127 00:26:11,690 --> 00:26:18,390 What about 73 million and 13? Gosh, I was very close wolf. 128 00:26:18,390 --> 00:26:29,630 No, no, no, no, no. Don't run out it. But if it does exist. 129 00:26:29,630 --> 00:26:38,140 Come and sit down. We need to have a little chat. 130 00:26:38,140 --> 00:26:47,640 Well. Numbers are just in your mind. 131 00:26:47,640 --> 00:26:54,120 I mean, in your life, you only have a finite amount of time. 132 00:26:54,120 --> 00:26:58,560 So there is only a finite number of numbers you will ever need. 133 00:26:58,560 --> 00:27:05,180 So for you and for me, they will be a biggest number. 134 00:27:05,180 --> 00:27:07,820 At some point in your life, you'll think of a number. 135 00:27:07,820 --> 00:27:16,010 And after that, you'll never think of a bigger one because you will die before you get the chance to die. 136 00:27:16,010 --> 00:27:22,410 Yes. Die. Your cells won't reproduce anymore. 137 00:27:22,410 --> 00:27:28,460 The telomeres in your chromosomes will get shorter and shorter until they're all used up. 138 00:27:28,460 --> 00:27:35,270 The last number. No more +1. The end of the line. 139 00:27:35,270 --> 00:27:40,280 But that line has the potential to go on forever. Oh, potential. 140 00:27:40,280 --> 00:27:45,800 That's a marvellous idea, teeming with possibilities and forever. 141 00:27:45,800 --> 00:27:52,360 I think that's my favourite idea of all. They all lived happily ever after. 142 00:27:52,360 --> 00:28:00,360 No, I'm afraid you can prove to me that infinity is a lovely, consistent idea, but you'll never be able to show it to me. 143 00:28:00,360 --> 00:28:12,850 Take this space. It's all finite lines, starts here and it ends here, you're born there and you die there. 144 00:28:12,850 --> 00:28:17,910 And this line of rooms to it has a beginning and an end. It's all finite. 145 00:28:17,910 --> 00:28:22,440 But there is infinity in this cube. 146 00:28:22,440 --> 00:28:27,820 Really, you promise you won't tell anybody. All right. 147 00:28:27,820 --> 00:28:32,830 Just before you arrived, I discovered Infiniti hiding in this cube. 148 00:28:32,830 --> 00:28:38,650 Really? Well, from there to there, that's a finite line. 149 00:28:38,650 --> 00:28:45,750 Oh no, no, no, sir, not sir. At the side of my cube has length. 150 00:28:45,750 --> 00:28:54,270 Why that's like me and the diagonal across the tube has length x, then X is bigger than Y. 151 00:28:54,270 --> 00:28:58,320 Mm hmm. By a factor of the square root of two. 152 00:28:58,320 --> 00:29:02,230 And that's an irrational relationship, which is irrational, reenergized and rational. 153 00:29:02,230 --> 00:29:08,490 You calling a rational something rush about Oh no, no, no, no, no, no, no x and Y are incompatible, incompatible. 154 00:29:08,490 --> 00:29:15,330 We've literally just met you, right? The square root of two as a decimal. 155 00:29:15,330 --> 00:29:22,860 Then it goes on to infinity, never repeating itself, so you won't be able to show it to me. 156 00:29:22,860 --> 00:29:31,020 No, I can't. I can. It starts one point four at one, a four. 157 00:29:31,020 --> 00:29:37,960 You don't mind if I make myself comfortable, do you? What do you do? Yes, I've got a feeling we may be here for some time. 158 00:29:37,960 --> 00:29:43,420 Yeah. You will make sure once you that each step is ten times smaller than the one before. 159 00:29:43,420 --> 00:29:53,940 Yes, I know. I know, and I know, you know, but just so you know, your next three steps should be the size of a pollen grain, 160 00:29:53,940 --> 00:30:00,290 followed by a bacterium followed by a virus on a bacterium. 161 00:30:00,290 --> 00:30:14,730 Oh, cool. One, three, very good, you got four, six decimal places over in infinity to go and you do know, 162 00:30:14,730 --> 00:30:19,840 don't you look after the 30 seconds will place, your step should be no bigger than a photon of light. 163 00:30:19,840 --> 00:30:25,440 OK. Five six. 164 00:30:25,440 --> 00:30:30,450 Oh oh, you're now about the size of a single coil of DNA. 165 00:30:30,450 --> 00:30:32,040 And of course, 166 00:30:32,040 --> 00:30:38,720 you won't be able to measure anything after the 34th decimal place because the planet constant is the smallest ruler that could possibly exist. 167 00:30:38,720 --> 00:30:47,040 Oh oh oh oh oh oh oh oh oh, you won't have trouble showing me, aren't you? 168 00:30:47,040 --> 00:30:52,670 Oh oh, never mind. Have a sandwich. 169 00:30:52,670 --> 00:31:00,510 Oh oh, oh oh oh no. 170 00:31:00,510 --> 00:31:06,320 No, no. Oh, sure. 171 00:31:06,320 --> 00:31:15,910 Oh, well, good. As much fun as this has all been, I'm afraid we're going to have to admit, aren't we, that that infinity is also in the mind? 172 00:31:15,910 --> 00:31:20,520 Wow. But what about time, huh? 173 00:31:20,520 --> 00:31:27,150 That goes on forever. No. Time doesn't go on forever. 174 00:31:27,150 --> 00:31:34,570 Time has an end that and even has a name. The heat death of the universe. 175 00:31:34,570 --> 00:31:40,600 The second law of Thermodynamics states that if the universe lasts for a sufficient time, 176 00:31:40,600 --> 00:31:47,380 it will asymptotically approach a state where it has diminished to a position of no free 177 00:31:47,380 --> 00:31:54,970 thermodynamic energy and is therefore no longer capable of supporting processes that consume energy, 178 00:31:54,970 --> 00:32:02,830 including computation and life. [INAUDIBLE]. 179 00:32:02,830 --> 00:32:10,500 Oblivion. That infinity looks a bit bleak, especially towards the end. 180 00:32:10,500 --> 00:32:15,600 Oh, the line of rooms, I proved that was infinite for you. 181 00:32:15,600 --> 00:32:21,830 Oh, that truth of yours. You do know that was something not quite right about it, don't you? 182 00:32:21,830 --> 00:32:30,650 Well, quite right, but just because I've been through lots of rooms that don't contain out doesn't mean out isn't in the next room. 183 00:32:30,650 --> 00:32:35,210 Take this coin. Oh, you've protected the sphere into two dimensions. 184 00:32:35,210 --> 00:32:40,190 Well, it has two sides as a head side and a tail side. 185 00:32:40,190 --> 00:32:50,440 Now, every time I toss this coin like this. It's equally likely to land tale sight as land head site. 186 00:32:50,440 --> 00:32:59,260 Pets, every time I go into a room, it could contain out just as each time I toss this coin, it could land tail side. 187 00:32:59,260 --> 00:33:05,560 It doesn't matter how many times I've tossed it and got heads. Doesn't mean I won't get tails on the next throw. 188 00:33:05,560 --> 00:33:11,980 Your proof implies that this coin always lands heads. 189 00:33:11,980 --> 00:33:19,540 Even if I tossed 10 heads in a row, there's still a 50 50 chance I'll get tails on the next throw. 190 00:33:19,540 --> 00:33:26,580 How many rooms have you been through? 73 million and 12. 191 00:33:26,580 --> 00:33:34,890 And it always lands heads up an unbroken sequence of 73 million and 12 hits, huh? 192 00:33:34,890 --> 00:33:40,350 Where do we draw your equation? Has lost its tail? Oh, you bet. It's the same on both sides. 193 00:33:40,350 --> 00:33:44,970 Same? The same gets the same. That's it. 194 00:33:44,970 --> 00:33:49,980 Your proof assumes all the rooms are the same. Well, yes, you said they're all the same. 195 00:33:49,980 --> 00:33:58,800 Just room after room after room, but they're not all the same. Really, the rooms look the same, but what they contain is different. 196 00:33:58,800 --> 00:34:03,210 Why do you think I got all those oranges? Well, I thought you blew up the singularity at zero. 197 00:34:03,210 --> 00:34:09,000 No, I found them in some of the rooms I went into. There are other fruits out there, too. 198 00:34:09,000 --> 00:34:16,320 There was a pomegranate oh, a come what? 199 00:34:16,320 --> 00:34:21,410 Hmm. Yes. A lemon. 200 00:34:21,410 --> 00:34:27,130 Oh, it's an exquisite divided by eight squared plus y squared divided by b squared plus squared, 201 00:34:27,130 --> 00:34:31,860 divided by sea squared equals all squared on the left side. Oh. 202 00:34:31,860 --> 00:34:39,590 Let me add some celluloid. A vuvuzela, a bagel. 203 00:34:39,590 --> 00:34:49,230 Oh, of all, one minus the square root of X squared plus y squared, all squared plus said squared equals are too squared. 204 00:34:49,230 --> 00:34:54,630 It's a genius. One surface. Oh oh, always a slinky. 205 00:34:54,630 --> 00:35:04,020 Oh, and a folding bicycle. Oh, book o que boyed o a cube light. 206 00:35:04,020 --> 00:35:09,050 Aha. Did you see that? 207 00:35:09,050 --> 00:35:19,940 Look, look, it's it's decomposing itself into a foundation of parallel some faults with a singularity running right down through the middle. 208 00:35:19,940 --> 00:35:23,660 This room wasn't empty, was it? Well, it was before you brought all your things in here. 209 00:35:23,660 --> 00:35:33,240 No, you were in here. This is the first time I've come into a room and found another person in there. 210 00:35:33,240 --> 00:35:37,440 Have you ever met another person, a person like me? 211 00:35:37,440 --> 00:35:42,180 Oh, another variable. No, I thought I was unique. Fascinating. 212 00:35:42,180 --> 00:35:47,440 So if a room can contain you, it can contain out. 213 00:35:47,440 --> 00:35:51,860 What's behind that door there? Oh, I don't know, I've never looked, you've never looked. 214 00:35:51,860 --> 00:35:58,610 No. Oh, of course you've never looked. Why would you have I thought this was all there was so. 215 00:35:58,610 --> 00:37:03,480 Out might be on the other side of that door. 216 00:37:03,480 --> 00:37:27,720 Are you out? Oh, how did he land heads again? 217 00:37:27,720 --> 00:37:33,090 What heads again? Oh, Hexagon! I said, heads again. 218 00:37:33,090 --> 00:37:38,160 So it is infinite. What's that? It's a ball of string. 219 00:37:38,160 --> 00:37:40,020 I found it in the next room. 220 00:37:40,020 --> 00:37:48,090 And this ball of string proves that your proof doesn't work because if a room can contain a ball of string, it can contain out. 221 00:37:48,090 --> 00:37:55,680 Stop moving about. You can't prove to me that it's infinite, can you? 222 00:37:55,680 --> 00:38:02,190 No, exactly. Put those things down and take this. 223 00:38:02,190 --> 00:38:07,470 Carefully, this line of rooms is not infinite. 224 00:38:07,470 --> 00:38:13,590 Infinity doesn't exist, this line of rooms has an end. 225 00:38:13,590 --> 00:38:19,560 It has an exit. It has out and I am going to find it. 226 00:38:19,560 --> 00:38:24,570 And when I do find it, I am going to prove it to you. 227 00:38:24,570 --> 00:38:35,620 How with string string stand the hold that carefully in both hands and don't move. 228 00:38:35,620 --> 00:38:45,700 I am going to take this end of the string and I'm going to walk into the next room and into the next room and into the room after that, 229 00:38:45,700 --> 00:38:55,510 if necessary, and I'm going to keep on walking in a straight line through room after room after room until I find out. 230 00:38:55,510 --> 00:39:01,640 And when I find it, I'm going to pull on the string three times like this. 231 00:39:01,640 --> 00:39:06,350 To prove to you that I have found it. 232 00:39:06,350 --> 00:39:12,350 How long is your ball of string? It's as long as I need it to be. You know you're going to need an infinite ball of string. 233 00:39:12,350 --> 00:40:14,160 We'll see. Yeah. Oh, oh, oh. 234 00:40:14,160 --> 00:40:20,110 Who are you? Why? Well, how many are there of you? 235 00:40:20,110 --> 00:40:24,770 One. No. Y equals one. 236 00:40:24,770 --> 00:40:29,440 No, no. Two ways that's way. Why is that way? 237 00:40:29,440 --> 00:40:39,190 Why said she was going to go in a straight line that that's why I did go in a straight line that way? 238 00:40:39,190 --> 00:40:56,670 Well, how did you come from over there then? Oh. It's all joined up. 239 00:40:56,670 --> 00:41:03,880 Oh, it's a loop. There is no doubt. 240 00:41:03,880 --> 00:41:09,680 Oh, it's not infinite. We were both wrong. 241 00:41:09,680 --> 00:41:15,710 We were both. Wrong. Oh. 242 00:41:15,710 --> 00:41:22,000 Oh, dear. Oh, dear, dear, dear. 243 00:41:22,000 --> 00:41:28,770 Oh, very disappointing. I'm so very tired. 244 00:41:28,770 --> 00:41:38,800 You see? I've travelled such a long way. 245 00:41:38,800 --> 00:41:45,730 I've collected all this stuff. I've kept everything I've come across. 246 00:41:45,730 --> 00:41:50,860 I've carried all this. I'm for what? What's the use of it all? 247 00:41:50,860 --> 00:41:55,750 What is it brought me? What does it all mean? But you've got you've got everything. 248 00:41:55,750 --> 00:42:08,650 I've got nothing. Nothing. I'm just stuck here in this line of rooms. 249 00:42:08,650 --> 00:42:22,340 You got me. Yes, I'm x squared plus y squared equals one co dependent variables. 250 00:42:22,340 --> 00:42:28,130 Yes, yes. When X was one, Y was zero. 251 00:42:28,130 --> 00:42:41,590 And when why was one? X was zero, but now, but now X equals y x squared, plus why speed equals one O X and Y are both off the square root of two. 252 00:42:41,590 --> 00:42:50,240 That's very nice, dear. Your hands? Your face? 253 00:42:50,240 --> 00:42:56,040 I was away for a very long time, but you only just left. 254 00:42:56,040 --> 00:43:00,620 I've been travelling for many, many, many years. 255 00:43:00,620 --> 00:43:13,350 OK, now I'm approaching my singularity with a singularity, but the singularity is a point which doesn't isn't defined, it doesn't exist. 256 00:43:13,350 --> 00:43:20,000 No. We've only just started. 257 00:43:20,000 --> 00:43:26,030 X times y equals one you inverted the circle is not a way out. 258 00:43:26,030 --> 00:43:31,910 No. But as Y tends towards zero extends to infinity. 259 00:43:31,910 --> 00:43:39,560 So I get my infinity back. Yes, I suppose you do, but I'm afraid you lose me in the process. 260 00:43:39,560 --> 00:43:46,310 I don't want that sort of infinity. I'm afraid that's reality, there's not much we can do about reality. 261 00:43:46,310 --> 00:43:52,160 I can resolve your singularity. No, you can't. 262 00:43:52,160 --> 00:43:58,900 But you can tell me about your out. My out. 263 00:43:58,900 --> 00:44:05,210 My out. A place where numbers go on forever. 264 00:44:05,210 --> 00:44:13,460 Parallel lines meet, you can create new geometries, new numbers like the square root of two. 265 00:44:13,460 --> 00:44:24,200 Yes, yes, yes. Like the square root of two X and Y are incompatible that the sequence of diminishing squares never terminates. 266 00:44:24,200 --> 00:44:30,600 Can you make a new No? A new no. 267 00:44:30,600 --> 00:44:38,560 A new number. Create a new number, you don't mind if I just close my eyes for a moment, did you while you do that? 268 00:44:38,560 --> 00:44:49,440 One two three four five six seven. I think knew that minus one minus two, one stream. 269 00:44:49,440 --> 00:44:56,240 A half a quarter and a sixteenth, 132. 270 00:44:56,240 --> 00:45:03,570 The square root of two. Oh, oh, the circumference of a circle. 271 00:45:03,570 --> 00:45:08,510 Oh oh, nothing. What? I got nothing. 272 00:45:08,510 --> 00:45:13,110 Why no new numbers? Why? 273 00:45:13,110 --> 00:45:17,030 Why? Why? Why aren't you listening to me? Why? Why? 274 00:45:17,030 --> 00:45:22,460 Why? Why? Why? What's happened to you? Why was one? 275 00:45:22,460 --> 00:45:53,820 Why one? Why he calls one. 276 00:45:53,820 --> 00:46:05,200 Y squared equals y. I squared minus one equals y minus one. 277 00:46:05,200 --> 00:46:16,280 Minus one times why plus one equals y minus one? Why plus one equals one? 278 00:46:16,280 --> 00:46:22,700 For. Hi, Sarah. 279 00:46:22,700 --> 00:46:33,950 I think. No, that can't be all there is. 280 00:46:33,950 --> 00:46:39,350 There must be something else. The square root of nothing. That's nothing on the square root of one. 281 00:46:39,350 --> 00:46:43,970 That's one this one. Well, square root of minus one. 282 00:46:43,970 --> 00:46:51,260 There isn't a number which when you square, it equals minus one. Take the square root of minus one. 283 00:46:51,260 --> 00:46:59,030 Imagine it x squared equals minus one one a plus size plus is plus and minus times minus is also plus. 284 00:46:59,030 --> 00:47:08,330 So the square root of minus one would be a new number. Well, it's a self-consistent, non contradictory to top the square root of minus one. 285 00:47:08,330 --> 00:47:13,960 It's a new number doubles. Oh, new world. A new direction. 286 00:47:13,960 --> 00:47:17,770 Oh, I've done it. I found out I did it. I printed it out. 287 00:47:17,770 --> 00:47:21,880 Stop it. Oh, you're alive. Oh, it works. 288 00:47:21,880 --> 00:47:26,950 No, I'm dead. You're alive. Oh, oh no, I'm dead. 289 00:47:26,950 --> 00:47:30,280 You're not dead. I'm dead, I die. He doesn't. 290 00:47:30,280 --> 00:47:33,400 Then I've saved you with you. No, you didn't save me. 291 00:47:33,400 --> 00:47:39,670 You can't save someone who's dead. But how come you were alive? 292 00:47:39,670 --> 00:47:49,210 I'm not alive, I'm dead. I don't understand. It's very important that the play ends with my death. 293 00:47:49,210 --> 00:47:57,520 It symbolises the nothing that awaits us all at the heat death of the universe. 294 00:47:57,520 --> 00:48:01,480 So you're dead? Yes, I'm dead, but you're alive. 295 00:48:01,480 --> 00:48:05,800 I'm alive. I still don't understand. How can you be dead and alive at the same time? 296 00:48:05,800 --> 00:48:14,710 Because I was saying everyone here was complicit in the act of imagining I was dead. 297 00:48:14,710 --> 00:48:19,240 We were telling a story. Have we finished the story? 298 00:48:19,240 --> 00:48:25,620 Yes. Oh. Well, no, we're still here, but you're not going to die. 299 00:48:25,620 --> 00:48:29,940 No. Oh yes, that's the whole point. But not now, I hope. 300 00:48:29,940 --> 00:48:34,200 So that was just a theoretical death. No, it was a theatrical death. 301 00:48:34,200 --> 00:48:40,200 Oh. So none of this is real. No. Well, yes, I am real. 302 00:48:40,200 --> 00:48:45,900 I hope I am real, aren't I? I don't know what you really are. 303 00:48:45,900 --> 00:48:59,230 Why no, olive? Olive y equals olive olive equals one multiplied by size, by Olowalu squared equality of square olive minus one, in fact, right? 304 00:48:59,230 --> 00:49:04,810 I suppose it still does well, look good. We're in a real space, right? 305 00:49:04,810 --> 00:49:09,880 All these lovely, real people, people. Yeah, we have an audience. 306 00:49:09,880 --> 00:49:15,080 Oh, more variables. Oh, what are they looking at? 307 00:49:15,080 --> 00:49:20,620 Well, they're looking at you and me and our imaginary world where nothing is real. 308 00:49:20,620 --> 00:49:26,170 Yes. Oh, well, no. I mean, that bag is a real buy. 309 00:49:26,170 --> 00:49:31,230 These trousers are real trousers. Yes, and my room that's real. 310 00:49:31,230 --> 00:49:38,590 No, but it hasn't even got real doors. 311 00:49:38,590 --> 00:49:45,660 Oh. The cube is real, but it only exists because it's part of a theatre set that we had specially built. 312 00:49:45,660 --> 00:49:51,240 Yes, yes. But if you go through the imaginary doors and then there are more cubes that way and more cubes that way. 313 00:49:51,240 --> 00:49:54,870 Oh no, there's nothing else. This is it. This is this is all right. 314 00:49:54,870 --> 00:49:59,580 This is our entire set. Is this one? Q Oh, actually, 315 00:49:59,580 --> 00:50:06,180 that's not quite true because somewhere we've got a model that's all designer made us have specially 316 00:50:06,180 --> 00:50:12,610 built so that we could see what the cube was going to look like when we built it for real. 317 00:50:12,610 --> 00:50:22,110 Oh. Oh, so that's my cue. 318 00:50:22,110 --> 00:50:27,300 Yes. No. Yes, it's a model of your cube. 319 00:50:27,300 --> 00:50:35,440 Right? Actually, and here they are also some other models, I think, Oh yes, look, here's you. 320 00:50:35,440 --> 00:50:40,870 Bobblehead, huh? And here's me his you in your cube. 321 00:50:40,870 --> 00:50:52,030 And here's me coming into the cube ooh y equals one multiplied by y y squared equals y take one y squared minus one equals y minus one. 322 00:50:52,030 --> 00:50:56,590 [INAUDIBLE], I don't sound like that. You do sometimes dance that actually. 323 00:50:56,590 --> 00:51:03,370 Sometimes yeah, you do. You do a bit sometimes. So this model helps us to tell the story. 324 00:51:03,370 --> 00:51:10,210 And the story is real. No. Well, yes. Yes, it's a real story, but the story is not real. 325 00:51:10,210 --> 00:51:15,010 We made it up when I made myself up. Yes, you're in the script. 326 00:51:15,010 --> 00:51:21,110 We're both in the script script, which ends with my death. 327 00:51:21,110 --> 00:51:24,730 Oh. So am I in the script? No, no. 328 00:51:24,730 --> 00:51:30,760 We finished the script. We're off script. So what are we doing now? 329 00:51:30,760 --> 00:51:45,670 I don't know. Oh. In fact, I'm not entirely sure if any idea what's real and what's not real anymore at all. 330 00:51:45,670 --> 00:51:52,930 A script was real. Well, yes. The script was real, but. 331 00:51:52,930 --> 00:52:01,510 I think the ideas in the script were all too real, and maybe I'm starting to think that the mathematics in the story was the most real thing of all. 332 00:52:01,510 --> 00:52:08,710 So Infinity Israel, yeah, I knew it. Well, no, no, it's a real idea, but it's not real. 333 00:52:08,710 --> 00:52:13,060 You can't show it to me. So what is real? 334 00:52:13,060 --> 00:52:20,290 What is real? OK? The quest for meaning that is real. 335 00:52:20,290 --> 00:52:24,610 That's real. The the desire to subvert the finite. 336 00:52:24,610 --> 00:52:29,200 The the need for happy ever after. You mean the search for out? 337 00:52:29,200 --> 00:52:31,000 Yes, I suppose so. Yes, because you know, 338 00:52:31,000 --> 00:52:36,550 when you are dying and you were going to leave me on my own in here with my infinity and I thought I was going to miss you rather a lot. 339 00:52:36,550 --> 00:52:40,440 I had just found you and out. Really? Yes. 340 00:52:40,440 --> 00:52:44,550 I created a new number. Well, you encouraged me and then I imagined it. 341 00:52:44,550 --> 00:52:49,680 And then there was a new direction. But how is that out? 342 00:52:49,680 --> 00:52:54,270 Well, I thought you could climb up and out. Well, how could I climb out there? 343 00:52:54,270 --> 00:53:01,010 Well, I thought. Oh, I hadn't got that yet. 344 00:53:01,010 --> 00:53:05,930 Well, maybe maybe the model will help me find a solution. 345 00:53:05,930 --> 00:53:10,490 Yes, maybe the model will help me find a solution. Well, this why it was excellent. 346 00:53:10,490 --> 00:53:14,570 Six. Yes. Yes. Here I am. 347 00:53:14,570 --> 00:53:18,710 Yeah. So how could I get up there? Well, I don't know. 348 00:53:18,710 --> 00:53:23,000 I just got as far as imagining a new number. I hadn't really worked out a way for you to get out. 349 00:53:23,000 --> 00:53:28,020 I mean, well, maybe there be something or maybe something more in the box. 350 00:53:28,020 --> 00:53:33,290 Yes, in the in the box, maybe something in the box and a script. 351 00:53:33,290 --> 00:53:39,740 Oh, look, look what I found. Oh, you could climb out of these? 352 00:53:39,740 --> 00:53:43,820 Oh, you are so very clever x. Oh, you are. 353 00:53:43,820 --> 00:53:47,480 Yes. Thank you very much, X. I don't sound anything like that at all. 354 00:53:47,480 --> 00:53:53,420 You do sound like that a bit. Yes. So I thought that you could climb up now. 355 00:53:53,420 --> 00:53:58,450 I created a new direction with my new number. And now you could climb up and out. 356 00:53:58,450 --> 00:54:06,320 Oh, thank you very much. Yes, you're right. I can climb up to the new direction and then your new number has found me out. 357 00:54:06,320 --> 00:54:11,860 Oh oh, oh oh oh. 358 00:54:11,860 --> 00:54:18,320 Well, I think maybe this time I would come with you. Oh, well, maybe it would be it, but it's in that direction. 359 00:54:18,320 --> 00:54:31,540 Oh, and then we would both be out. Yes. Come on. Okay. 360 00:54:31,540 --> 00:54:40,860 Oh, oh, oh, oh, oh, it's real, oh, it's real, I'm coming, why? 361 00:54:40,860 --> 00:54:45,030 Whoa, whoa, whoa. 362 00:54:45,030 --> 00:54:51,020 I'm alternating, oscillating. It's very hard. Oh, that's fair. 363 00:54:51,020 --> 00:54:59,210 Entirely natural, given the potential risk risk. Well, what you're attempting to do is incredibly dangerous. 364 00:54:59,210 --> 00:55:03,740 Oh oh oh, I'm stuck. 365 00:55:03,740 --> 00:55:10,280 I can't move. That's paralysis, fear, and it's most acute state. 366 00:55:10,280 --> 00:55:21,140 What you need is a good dose of induction. Induction induction let p m b the statement you can climb any rungs of the ladder. 367 00:55:21,140 --> 00:55:27,140 Oh, now you've already got onto the first rung, so that's the base step proved right. 368 00:55:27,140 --> 00:55:43,700 Oh, and then from the end rung, it's a simple step up to the M class one from Oh, support for you may be Oh. 369 00:55:43,700 --> 00:55:47,120 Oh, well, it's quite simple. Good. 370 00:55:47,120 --> 00:55:55,850 That's the inductive step right now, apply the second old axiom for inductive logic, and you'll find you can climb as high as you like, really? 371 00:55:55,850 --> 00:56:01,280 Oh, induction, high induction, induction or not. 372 00:56:01,280 --> 00:56:06,770 Oh, it's working, it's working well, it duction, oh, I'm coming, right? 373 00:56:06,770 --> 00:56:11,390 Oh, to infinity. Oh, why? 374 00:56:11,390 --> 00:56:18,850 Why inductions to yes. Yes, I know that. Oh, one more time. 375 00:56:18,850 --> 00:56:27,880 What the factorial how the factorial did you what the factorial is that it's a trick, a trick. 376 00:56:27,880 --> 00:56:31,720 Yeah, it's a trick. It's a trap door. A trap door. Yes, a trap door. 377 00:56:31,720 --> 00:56:35,380 It's a trick trap door trick trap door. It's a trick trap door. 378 00:56:35,380 --> 00:56:41,590 No, I don't understand. How did you go up there? Now you're coming from down there theatrically. 379 00:56:41,590 --> 00:56:46,430 You want to step inside. Well, is it safe? Is it safe? 380 00:56:46,430 --> 00:57:04,910 Well, yes, it's safe. Whoa, oh, oh, oh, eight, oh oh, that's Beirut. 381 00:57:04,910 --> 00:57:11,220 Oh, and there's a skull. Is this a dagger I see before me? 382 00:57:11,220 --> 00:57:20,220 Oh good, I come out. No job. It's Oh oh, oh, oh, oh, oh, so you see, it's a theatrical trick now. 383 00:57:20,220 --> 00:57:24,180 I still don't understand you. There you go. 384 00:57:24,180 --> 00:57:28,440 Well, I I didn't really climb through a hole in the ceiling. Really? 385 00:57:28,440 --> 00:57:36,890 No. Now what I did was I climbed up this ladder here, and then I climbed down the back of the ladder behind the black cloth. 386 00:57:36,890 --> 00:57:41,490 See? Oh, really? And then I just walked off the stage. 387 00:57:41,490 --> 00:57:45,840 Oh, really? Oh. No, no. I just walked off into the wings. 388 00:57:45,840 --> 00:57:50,850 Wings. Oh, space can fly. Oh, it's a theatrical term. 389 00:57:50,850 --> 00:57:57,270 Oh, I just walked off stage into the wings and I squirrelled round the back. 390 00:57:57,270 --> 00:58:02,640 Round the back. Yeah, round the back. There's a way around the back. 391 00:58:02,640 --> 00:58:11,390 Go and have a look. It's quite safe and quite safe. I'll talk you through it and round the back, so we'll just step off off the set. 392 00:58:11,390 --> 00:58:15,350 I'll you go and walk across the stage right behind the wings. 393 00:58:15,350 --> 00:58:20,400 Oh, there we go. Be fine. Oh, but up you'll be OK. 394 00:58:20,400 --> 00:58:25,060 We'll fight. If you if you turn left, you can just squirrel right round the back. Well, there's another variable. 395 00:58:25,060 --> 00:58:29,460 Well, that's the stage manager. So, oh well, I can't see anything. 396 00:58:29,460 --> 00:58:35,310 It's just blackness. And oh. There's a way around. 397 00:58:35,310 --> 00:58:40,290 Yep. Do I do the squirrel? Yeah, you do squirrel all the way around the back. 398 00:58:40,290 --> 00:58:45,770 Oh, I can see a blue light on the other side. Yeah, there's a light at the end of the tunnel. 399 00:58:45,770 --> 00:58:49,800 That's the backstage like, Oh, it's all symmetrical. 400 00:58:49,800 --> 00:58:55,950 Yep. Oh, it's a loop. Yeah. Oh, so now you should find Joe waiting in the wings stage, right? 401 00:58:55,950 --> 00:59:00,210 Oh, and if you keep walking. Come onto the set, you'll find you've made an entrance. 402 00:59:00,210 --> 00:59:05,760 Oh, look. So you didn't go all the way around the universe. You just hit the squirrel run. 403 00:59:05,760 --> 00:59:11,520 Is it convertible? The function? Yes. Yes. You can go the other way. 404 00:59:11,520 --> 00:59:18,270 Can I go all the way around the back again? When he comes back in, he's going to make another entrance. 405 00:59:18,270 --> 00:59:22,950 Shall we give him a little round of applause when he comes in just so he knows? 406 00:59:22,950 --> 00:59:36,820 Oh, it's take it back to the. Again, I think he really enjoyed that. 407 00:59:36,820 --> 00:59:50,760 Shall we indulge him just once more? Again, no milk it, milk it. 408 00:59:50,760 --> 01:00:01,620 Never mind. So that's how we suggested that our space was looped in two directions, you see, Oh, so I knew, no, it didn't find you out. 409 01:00:01,620 --> 01:00:06,570 No, no. We just be on another surface that was looped in two directions. 410 01:00:06,570 --> 01:00:13,230 So for instance, we could be on the surface of a gigantic orange, so it would be looped in that direction. 411 01:00:13,230 --> 01:00:21,660 And in that direction as well? Right? Yes. Yeah. Or you could be on the the genius one surface you brought in, you know, 412 01:00:21,660 --> 01:00:26,580 the oh one minus the square root of X squared plus y spread all squared plus square equals R2 square. 413 01:00:26,580 --> 01:00:31,020 The bagel had a name for that. What did you call it? Yeah, the bagel. Yeah, it's a bagel. Where's the bagel? 414 01:00:31,020 --> 01:00:35,010 I ate it. You ate it. 415 01:00:35,010 --> 01:00:40,730 I was hungry. You ate the universe was just a prop. 416 01:00:40,730 --> 01:00:46,360 Well, quite an important prop. What's a prop? 417 01:00:46,360 --> 01:00:55,090 What's a prop? Well, a prop is something that we use in theatre either as itself or pretending to be something else. 418 01:00:55,090 --> 01:00:59,980 We use it to help us tell a story. It's part of the power of theatre. 419 01:00:59,980 --> 01:01:05,710 The theatre is the set of all possible self-consistent structures seen in theatre. 420 01:01:05,710 --> 01:01:12,610 We can suggest. And by suggesting we can make something seem real. 421 01:01:12,610 --> 01:01:20,690 Oh. You see. Listen. 422 01:01:20,690 --> 01:01:30,500 Can this cockpit hold the boss the fields of France, or may we cram within this wooden cube? 423 01:01:30,500 --> 01:01:34,970 The very casks that did a flight to the air at Agincourt? 424 01:01:34,970 --> 01:01:42,550 Oh, pardon! Since a crooked figure may attest in little place a million and let us. 425 01:01:42,550 --> 01:01:48,610 Ciphers to this greater comfort on your imaginary forces work. 426 01:01:48,610 --> 01:01:55,740 See, you read some of what? Yeah. 427 01:01:55,740 --> 01:02:03,310 Hmm. Let us. 428 01:02:03,310 --> 01:02:09,060 Mine is all squared y plus x squared y plus y cubed. 429 01:02:09,060 --> 01:02:21,670 That's good. Yeah, well, minus two all except minus two x squared z minus two y squared plus y z squared equals zero. 430 01:02:21,670 --> 01:02:26,380 Great. It's a it's a finite closed. No, an oriental manifold. 431 01:02:26,380 --> 01:02:30,550 Keep going. OK. What are you doing? I'm physicalize in space. 432 01:02:30,550 --> 01:02:36,010 You can't do that. That's my Shakespeare. It's it's a wasted space. 433 01:02:36,010 --> 01:02:39,730 Rubbish. That's pathetic. That's not beautiful data to prop. 434 01:02:39,730 --> 01:02:46,810 It's a Mobius strip that helps us how I wanted to make theatre. 435 01:02:46,810 --> 01:02:52,510 I thought it might help you to point it out. So instead, you've just destroyed my most precious book. 436 01:02:52,510 --> 01:02:56,290 De facto, you can't put it back. Oh, oh, oh. 437 01:02:56,290 --> 01:03:04,290 Give that to me. Stop that. Well, I didn't realise it was a non inverted function. 438 01:03:04,290 --> 01:03:10,940 Well, it is. It's all right. 439 01:03:10,940 --> 01:03:23,070 It is just a book. And I appreciate the effort. 440 01:03:23,070 --> 01:03:29,750 That's all right. I'm not really sure I. 441 01:03:29,750 --> 01:03:34,360 And we don't know what. Y equals Olive. 442 01:03:34,360 --> 01:03:41,780 Yeah. Can I ask you a question? Yes. What is your out? 443 01:03:41,780 --> 01:03:46,920 I don't know. Something. 444 01:03:46,920 --> 01:03:51,720 Not nothing. That's what this story is about. 445 01:03:51,720 --> 01:03:57,000 I keep looking for something, and it always ends in nothing. Nothing doesn't exist. 446 01:03:57,000 --> 01:04:01,620 It's just an idea. Oh, it does. No, it doesn't. 447 01:04:01,620 --> 01:04:05,280 It does. It doesn't. It does, doesn't. It does, doesn't. 448 01:04:05,280 --> 01:04:13,200 It does. Doesn't. It does. It does. The heat death of the universe, the end of time. 449 01:04:13,200 --> 01:04:18,540 Oh, Bolivian, that is nothing. That is nothing. 450 01:04:18,540 --> 01:04:23,580 That is the ending that's waiting for all of us at the end of all our scripts. 451 01:04:23,580 --> 01:04:28,650 Even the burial. Every single one of us. What you mean? You mean they're not out, either? 452 01:04:28,650 --> 01:04:37,740 Oh, they're not out. They might have come out on a night out to come in here to try and find out they're out, but they're not out there. 453 01:04:37,740 --> 01:04:50,930 Just did another in what? Looking in looking in. 454 01:04:50,930 --> 01:04:58,480 Looking in. Out out, brief candle. 455 01:04:58,480 --> 01:05:08,310 Life is but a walking shadow. A poor player that struts and frets his hour upon the stage and then is heard no more. 456 01:05:08,310 --> 01:05:15,130 It is a tale told by an idiot full of sound and fury signifying nothing. 457 01:05:15,130 --> 01:05:19,110 No, no, no, no, no, signifying something. No, I think you'll find it's nothing. No, no, no. 458 01:05:19,110 --> 01:05:27,160 It signifies something else acute inside a cube. 459 01:05:27,160 --> 01:05:35,470 Oh, it's a shudder, it's a shudder. It's a shadow, a shadow, it's a shadow of a four dimensional shape, a shadow. 460 01:05:35,470 --> 01:05:44,380 Yes. If I could take a torch and shine it on a cube in four dimensions, then the shadow it would cost is a cube inside a larger cube. 461 01:05:44,380 --> 01:05:52,990 The shadow? Yes, a shadow or shadow proves the existence of a thing which is costing it, even though the thing which is costing it is unseeable. 462 01:05:52,990 --> 01:06:01,320 It proves there must be something more. When you say it's unseeable, you mean you can't show it to me, so then I can't believe it exists then. 463 01:06:01,320 --> 01:06:11,030 But just because you can't see it, that doesn't mean that it doesn't exist. So you? Take that what that that noise. 464 01:06:11,030 --> 01:06:14,780 That was we're never going to know what that is, but it's like the shadow, 465 01:06:14,780 --> 01:06:19,730 it proves the existence of something else, even though we'll never know what that is. 466 01:06:19,730 --> 01:06:24,340 But I do know what that is, really. That was a siren. 467 01:06:24,340 --> 01:06:29,210 A siren? Yeah, siren. Well, what's a siren? 468 01:06:29,210 --> 01:06:35,840 Siren is a noise that ambulances or police cars make to show other people that they're there so they ambulances or police cars. 469 01:06:35,840 --> 01:06:40,080 Yeah, that functions that translate sick or naughty variables. 470 01:06:40,080 --> 01:06:47,840 Oh, well, it's a lovely idea, but you'll never be able to show it to me, but I could show that to you. 471 01:06:47,840 --> 01:06:54,770 Really? Yeah. If you went through one of those doors at the back, doors at the back. 472 01:06:54,770 --> 01:07:00,200 Yeah, you see behind the audience there, there are two doors. They got little men running little green rectangles. 473 01:07:00,200 --> 01:07:07,190 That's just imaginary doors. No, those are real doors. Well, what's behind those doors? 474 01:07:07,190 --> 01:07:12,500 Behind those doors is the foyer of the Oxford Playhouse and there's a bar. 475 01:07:12,500 --> 01:07:15,620 And then beyond that there, then there's some glass doors. 476 01:07:15,620 --> 01:07:20,510 And on the other side of those, there's the street, which is where the sirens and the police cars and the ambulances are streets. 477 01:07:20,510 --> 01:07:23,090 Yeah. Well, it sounds that's not out. 478 01:07:23,090 --> 01:07:34,940 That's just in the city, that's just in Oxford, where there's spires and sirens and cash points and and sick and peeling bells hitting bells. 479 01:07:34,940 --> 01:07:40,310 Well, that's oh no, that's not out. That's just in another inn that's in the city. 480 01:07:40,310 --> 01:07:42,470 Can you get out of the city? Yeah. 481 01:07:42,470 --> 01:07:56,090 But then you'd be in the country with with fields of wheat and and wind farms and inbreeding and and town cows pull that out. 482 01:07:56,090 --> 01:08:01,610 No, that's not out. That's just in another and not in the Cotswolds that's in the country. 483 01:08:01,610 --> 01:08:18,630 Well, what can you get out of the country? Well, yes. But then you'd be in outer space where there's space and and planets and space and galaxies. 484 01:08:18,630 --> 01:08:29,010 And space and universes and dark matter and wormholes, worms and holes. 485 01:08:29,010 --> 01:08:33,840 Oh, that's out. No, that's not out. That's in another end. 486 01:08:33,840 --> 01:08:39,840 That's in outer space. It doesn't matter how far you go, you'll never get out. 487 01:08:39,840 --> 01:08:43,590 You'll just be in another in. But I want to be out there. 488 01:08:43,590 --> 01:08:47,880 You can't. Why? Because your ex. Because we made you up. 489 01:08:47,880 --> 01:08:57,570 You're in the script. But I would be out there. I'm afraid the script says that you stay in here. 490 01:08:57,570 --> 01:09:05,940 A manifold needs no ambient space in which to exist. And you what happens to you? 491 01:09:05,940 --> 01:09:11,750 I love to stay in here. I'd love to be in your out. 492 01:09:11,750 --> 01:09:21,780 I love to lie here in the shadow of your four dimensional cube, knowing it exists without needing to see it to be still. 493 01:09:21,780 --> 01:09:31,390 But the script says that I keep going through room after room, after room tomorrow and tomorrow and tomorrow. 494 01:09:31,390 --> 01:09:38,890 Creeps in this petty pace from day to day to the last syllable of recorded time. 495 01:09:38,890 --> 01:09:44,860 Oh, and what is the last syllable of recorded time? Well, what does the script say? 496 01:09:44,860 --> 01:09:51,490 It says nothing. Well, it must say something, it can't just say nothing. 497 01:09:51,490 --> 01:10:02,100 It says nothing. We're going to rewrite this script. 498 01:10:02,100 --> 01:10:06,760 What I'm going to give you out so you can't. 499 01:10:06,760 --> 01:10:13,510 I'm going to give you my out a place where there's something, not nothing. 500 01:10:13,510 --> 01:10:17,770 A place where when numbers go on forever, where parallel lines meet. 501 01:10:17,770 --> 01:10:20,530 Yes, where things can exist without being. 502 01:10:20,530 --> 01:10:29,600 See where there are ideas that don't die, signifying something you can't do that you can't just rewrite a script in the middle of a show like this. 503 01:10:29,600 --> 01:10:32,920 You can't. You can't. I'm completely losing track. 504 01:10:32,920 --> 01:10:38,600 This is really a toss. This is that you said that anything was possible. 505 01:10:38,600 --> 01:10:44,330 Yeah, but look, stand there. Don't move. Hold this. 506 01:10:44,330 --> 01:11:01,450 I'm going to take the end of this script. Oh, you're putting a twist in the script. 507 01:11:01,450 --> 01:11:06,340 It's a Mirpur script. I made a joke. 508 01:11:06,340 --> 01:11:14,390 Yes, you did. Oh, OK. Theoretically, if something goes around this universe, then it gets flipped over. 509 01:11:14,390 --> 01:11:20,390 So theatrically, a change of variable. So X becomes Y. 510 01:11:20,390 --> 01:11:38,120 Yes. Look. 511 01:11:38,120 --> 01:11:48,360 Are you sure you want to do this? As I tend towards infinity, you tends to zero. 512 01:11:48,360 --> 01:11:57,860 No more +1. The streets. 513 01:11:57,860 --> 01:12:04,770 And peeling belts. And Carlos. 514 01:12:04,770 --> 01:13:05,730 Out. Oh. 515 01:13:05,730 --> 01:13:18,070 Well, I was holes. Out. Why? 516 01:13:18,070 --> 01:14:29,890 Wait. Look after it. 517 01:14:29,890 --> 01:16:01,610 Out. So that's just I love and. 518 01:16:01,610 --> 01:16:06,200 Strange loop, I love this piece, and I wanted to. 519 01:16:06,200 --> 01:16:15,260 It's really from the very first time I saw it and then its subsequent iterations. 520 01:16:15,260 --> 01:16:25,040 It really, I suppose one of the first things that it made me do at the beginning was that it made me laugh so much a little bit. 521 01:16:25,040 --> 01:16:31,490 And it's it's quite the cat in bed with the questions that it asks. 522 01:16:31,490 --> 01:16:45,650 And of course, there is this fantastic relationship between the subject matter and the and the theatricality. 523 01:16:45,650 --> 01:16:53,720 But maybe I should start by asking Marcus in Victoria, why did you at title date? 524 01:16:53,720 --> 01:16:57,340 Where did that? How did the title begin? 525 01:16:57,340 --> 01:17:06,880 Well, actually, the title began at the end because the title emerged very late in this whole piece and as you say, it's been through many iterations. 526 01:17:06,880 --> 01:17:14,290 We've gone round this loop and very many times and each time we find kind of something new in it and that's what's so exciting. 527 01:17:14,290 --> 01:17:19,180 I think about the process that I think many people probably feel that, oh, 528 01:17:19,180 --> 01:17:23,920 isn't a play written by a playwright and then handed to the company to perform. 529 01:17:23,920 --> 01:17:28,750 And I mean, this in some sense, is something I very much learnt from you, Simon. 530 01:17:28,750 --> 01:17:35,530 You know, I did a lot of theatre as a student came along to see complicity in its very early days at 531 01:17:35,530 --> 01:17:41,450 the Percocets Theatre in Oxford when I was a Ph.D. student and and somehow I learnt that no, 532 01:17:41,450 --> 01:17:51,730 a piece really is written as it's performed, and those early performances with an audience are somehow part of the writing process. 533 01:17:51,730 --> 01:18:01,780 So actually, the title is a strangely really came to us very late on when we staged it at the Barbican as part of a a triptych idea. 534 01:18:01,780 --> 01:18:14,470 It's about Douglas Hofstadter, his book Girdle Schubach, and we had a concert performance with some Bach written by some Aiye and Bach himself. 535 01:18:14,470 --> 01:18:20,860 We did a sort of installation piece in the Barbican, but then we did also the performance of this play, 536 01:18:20,860 --> 01:18:28,690 and it was at that point we suddenly realised, Gosh, this is a play actually not just about mathematics and theatre, 537 01:18:28,690 --> 01:18:32,860 but also about kind of consciousness and artificial intelligence, 538 01:18:32,860 --> 01:18:40,210 because X's character is somehow artificially created and then thrown into this kind of embodied world. 539 01:18:40,210 --> 01:18:46,750 And and the whole structure of the play is the structure of a strangely because things, 540 01:18:46,750 --> 01:18:52,720 the hierarchies of maths, then theatre and then the theatre you realise isn't that part of the real world, 541 01:18:52,720 --> 01:18:58,480 which isn't that just actually part of mathematics itself and the mathematics is actually at the top of this hierarchy? 542 01:18:58,480 --> 01:19:04,630 So this idea that Douglas Hofstadter came up with of a strange loop is something which sort of goes up in hierarchies, 543 01:19:04,630 --> 01:19:08,700 but then seems to return to the the hierarchy had right at the beginning. 544 01:19:08,700 --> 01:19:14,620 So the best image is that one Escher did of a hand drawing a hand in. 545 01:19:14,620 --> 01:19:22,810 You're not quite sure which is the real hands. And that seemed to be sort of what came out of this, this playing we did that. 546 01:19:22,810 --> 01:19:28,750 We created a structure where you're not actually sure which which one is embedded in the other. 547 01:19:28,750 --> 01:19:37,570 And so it was only at the end we sort of realised, Oh my gosh, this is a play as much about the creation of an artificial life within the context 548 01:19:37,570 --> 01:19:41,890 of something that may be realised and the real life that seems to have created it. 549 01:19:41,890 --> 01:19:49,550 And so, so that's its name was very late on in the kind of whole process also. 550 01:19:49,550 --> 01:19:57,910 So I was going to say we've had a lot of discussions, both of us with you, Simon, about what consciousness is and whether it's possible to define it. 551 01:19:57,910 --> 01:20:04,420 And I think more and more as I get older that I don't know what I am and I and that 552 01:20:04,420 --> 01:20:08,180 I believe it's impossible to define consciousness within the being that's already. 553 01:20:08,180 --> 01:20:15,970 But is it self? And so, you know, there's a kind of there is a there's an unknowability about what's the self actually is. 554 01:20:15,970 --> 01:20:23,840 And Douglas Hofstadter wrote a book called I Am a Stranger and we at the Smoker says towards the end of the process, 555 01:20:23,840 --> 01:20:29,380 I realised that I is a strange loop was was what the play was about. 556 01:20:29,380 --> 01:20:38,950 And it's very interesting. You mentioned Beckett, because a few people sort of suggested a title for the play should be waiting for girdle. 557 01:20:38,950 --> 01:20:44,990 It'll being this mathematician that considered strange links in logic. So that was never going to let that happen. 558 01:20:44,990 --> 01:20:52,250 So that's that. Forgive me for saying, but that is like a mathematicians joke. 559 01:20:52,250 --> 01:20:58,570 So the other person who described it as Piketty and was Ali Carseldine was the first thing. 560 01:20:58,570 --> 01:21:04,570 She said when she read it was that it was very Piketty, and so we were terribly well flattered. 561 01:21:04,570 --> 01:21:13,150 Well, perhaps we could just dig in to that for a moment because, you know, why might it be the Kachin and what do we mean by that? 562 01:21:13,150 --> 01:21:23,050 That's an interesting thought. But also the whole function of theatre is also a curious loop. 563 01:21:23,050 --> 01:21:35,410 And in terms of interesting in its relationship with consciousness, because it's, you know, John, you described theatre as an act of ritual return. 564 01:21:35,410 --> 01:21:45,550 So a sense of the ritual repeating and repeating and sort of defining who we are in such an odd thing that we all get up each 565 01:21:45,550 --> 01:21:53,620 evening when we work in theatre and we do the same thing over and over and then the audience come in and they know that it's real, 566 01:21:53,620 --> 01:21:56,880 but it's not real life. And then they all pretend that it. 567 01:21:56,880 --> 01:22:01,610 Really is real life, and it is real life because we are really there in front of people, 568 01:22:01,610 --> 01:22:13,730 but we are pretending to be other people and so on and these leaks of of fiction and meta fiction that exist within it. 569 01:22:13,730 --> 01:22:23,390 It is why at a certain point, of course, I was interested in how might theatre be able to talk about consciousness? 570 01:22:23,390 --> 01:22:32,390 And of course, before I got interested in consciousness, I was completely obsessed with questions of memory. 571 01:22:32,390 --> 01:22:43,280 And I think out of these questions, and I think that was perhaps one of the early connexions we had between us, 572 01:22:43,280 --> 01:22:57,090 but I was found that the process of theatre useful for trying to work out problems that I found difficult to understand. 573 01:22:57,090 --> 01:23:00,320 So when I made mnemonic, which is about memory, I thought, Oh, 574 01:23:00,320 --> 01:23:07,490 I'm going to try and understand something about memory and identity, which is an early search into consciousness. 575 01:23:07,490 --> 01:23:13,850 But also, when Michael and Dutchy gave me the book, The Mathematicians Apology, I realised, Oh my god, 576 01:23:13,850 --> 01:23:19,730 I've never really understood mathematics, not understood it, but I've had a very difficult relationship with it. 577 01:23:19,730 --> 01:23:25,280 And yet when I read the mathematicians apology, I say, Look, you know, 578 01:23:25,280 --> 01:23:33,380 mathematics is there's something unbelievable about mathematics, as well as something deeply logical. 579 01:23:33,380 --> 01:23:40,700 And this phrase of Charles is that a mathematician like a painter, a poet is a maker of patterns. 580 01:23:40,700 --> 01:23:46,800 The idea that mathematics is an art was incredibly exciting and revealing to me. 581 01:23:46,800 --> 01:23:58,400 And so when I decided to try and make something of this relationship between Hardy and Ramanujan and try and make a show about mathematics, 582 01:23:58,400 --> 01:24:05,480 that was when our long way of saying our collaboration started. 583 01:24:05,480 --> 01:24:09,170 And was that the first time I met you, Victoria? I can't remember. 584 01:24:09,170 --> 01:24:13,340 I must know. And when did we? 585 01:24:13,340 --> 01:24:17,810 We first started working together on the elephant vanishes unless you knew you wanted there to be 586 01:24:17,810 --> 01:24:23,630 something in it to the second law of thermodynamics and the fact that entropy is increasing all the time. 587 01:24:23,630 --> 01:24:29,460 So we helped put some things into that show. What about that? And then we what function can afterwards? 588 01:24:29,460 --> 01:24:35,840 Yeah, of course. And and and that's how we we started. 589 01:24:35,840 --> 01:24:39,650 But I think maybe when did we start working together, Marcus? 590 01:24:39,650 --> 01:24:45,890 Obviously, we started working together in the Pegasus. Well, yes, but then I was just some spotty PhD student. 591 01:24:45,890 --> 01:24:50,090 So it was, yes, sort of part of the crowd. 592 01:24:50,090 --> 01:24:56,960 But I remember getting this email from one of your production team saying, Oh, you probably don't know who we are. 593 01:24:56,960 --> 01:25:03,200 We're a theatre company called Complexité, and we're doing a play about maths and we'd love you to come in. 594 01:25:03,200 --> 01:25:10,760 And of course, I'd actually been fantasising about running away with a theatre company like Publicité for years after spending time in the Pegasus. 595 01:25:10,760 --> 01:25:18,710 Whatever my maths is going badly, that's kind of my fantasy. I don't know how many times I downloaded the application form to OK. 596 01:25:18,710 --> 01:25:25,340 It's a kind of escape. So I wrote back this incredible fanboy email saying, Oh, I know exactly who complicit they are, 597 01:25:25,340 --> 01:25:28,590 and I'd love to come in and spend some time talking about maths with you. 598 01:25:28,590 --> 01:25:33,440 So I think your your team have kept that email because it was so hilarious. 599 01:25:33,440 --> 01:25:43,010 But so yeah, they you know, I came in, I suppose, because I mean, my feeling about theatre and mathematics is this for me, 600 01:25:43,010 --> 01:25:51,620 there was always a similarity because there's the kind of fun of setting up some rules and just seeing what the consequences of those rules are. 601 01:25:51,620 --> 01:26:00,200 And I suppose theatre was always a space where you could try out some things which weren't about real life necessarily. 602 01:26:00,200 --> 01:26:05,570 I mean, you could create a space with strange rules like like we do in the play where you know, 603 01:26:05,570 --> 01:26:14,030 you go off one side of the theatre and you come in in the other and you can construct a kind of weird space with that stage. 604 01:26:14,030 --> 01:26:15,920 And for me, that was always the exciting thing. 605 01:26:15,920 --> 01:26:26,360 What what rule is actually a powerful and evolve something hugely complex and interesting, even though there are some simple beginnings? 606 01:26:26,360 --> 01:26:29,900 And and what rules sometimes just crash and it doesn't work. 607 01:26:29,900 --> 01:26:36,150 And the exploration of that kind of abstract world that you can create, I think, was always a kind of resonance for me. 608 01:26:36,150 --> 01:26:42,860 So, so is fun coming in? You know, you were interested in finding out what Ramanujan and Hardy had done together, 609 01:26:42,860 --> 01:26:47,390 you know, to really embed the mathematics as part of the play. 610 01:26:47,390 --> 01:26:56,730 And I mean, it was just so funny because I mean, I loved it when we got so immersed in the maths that I remember Simon, you asking me something so. 611 01:26:56,730 --> 01:27:00,480 A mock theatre function. What is a mock theatre function? 612 01:27:00,480 --> 01:27:07,350 And I realised we sort of delved so deep, but I think your production team said, can you not come back tomorrow? 613 01:27:07,350 --> 01:27:13,080 Because Simon's got totally obsessed with the mathematics and we need to make a play? 614 01:27:13,080 --> 01:27:24,990 Well, I mean, the what is marvellous about your piece is a strange loop is that you have found a way of embedding ideas. 615 01:27:24,990 --> 01:27:32,700 And that was what was exciting about collaboration. And now I remember it, of course, about you, 616 01:27:32,700 --> 01:27:42,200 Victoria being the elephant vanishes and my asking you about the second both thermodynamics because I wanted some philosophical ideas too. 617 01:27:42,200 --> 01:27:53,960 And even if they were not on the surface, they were that deeply as what I would call the reservoir underneath the the piece so that, 618 01:27:53,960 --> 01:27:58,440 you know, embodying ideas about light or about entropy. 619 01:27:58,440 --> 01:28:09,690 They then produced other physical responses in us, which we knew we knew where they came from, even if the audience didn't necessarily know. 620 01:28:09,690 --> 01:28:15,060 And it was tremendously exciting when both of you, Victoria Marcus, 621 01:28:15,060 --> 01:28:26,400 were there in a disappearing number and we had with the actors, they had to find a way of showing of of embodying, 622 01:28:26,400 --> 01:28:37,170 for example, the Series one plus a five plus in a quarter plus an eighth plus a sixteenth plus one of the thirty two plus one ever sixty four. 623 01:28:37,170 --> 01:28:44,550 And the fact that it makes two in infinity, but of course, it never reaches two. 624 01:28:44,550 --> 01:28:50,610 And this idea of two things never quite reaching each other. 625 01:28:50,610 --> 01:28:58,710 We found extremely beautiful and very, very stimulating and in fact gave rise to all sorts of improvisations. 626 01:28:58,710 --> 01:29:07,050 So when you both of you were making your piece, did you did you use some of those things too? 627 01:29:07,050 --> 01:29:10,620 Did you improvise like that? How how how was it? 628 01:29:10,620 --> 01:29:14,190 I mean, and you were just too? Absolutely. 629 01:29:14,190 --> 01:29:21,390 Although I think there was a very strong sense that we wanted the play to have a mathematical shape overall. 630 01:29:21,390 --> 01:29:27,840 I mean that locally, of course, we're talking about mathematics and there their explorations of things like whether infinity exists. 631 01:29:27,840 --> 01:29:32,280 But I think one of the challenges for us was, you know, can we make the play, have a shape? 632 01:29:32,280 --> 01:29:37,470 I mean, in some sense, there's an exploration of the different dimensions that are possible. 633 01:29:37,470 --> 01:29:40,800 There's a line of rooms, so you've got one dimension. 634 01:29:40,800 --> 01:29:46,920 And then we we burst through the ceiling and come through it, a trapdoor in the floor, so we got another dimension. 635 01:29:46,920 --> 01:29:52,260 And the idea then that X could leave through the audience produces a third dimension. 636 01:29:52,260 --> 01:29:58,410 But could that be looped? And in which case have we sort of created a four dimensional shape because we've looped 637 01:29:58,410 --> 01:30:02,490 this thing in three dimensions and created a sort of four dimensional tourists? 638 01:30:02,490 --> 01:30:10,920 So actually a four dimensional shape was was a shape we had in our minds, and that's why we create this Tesseract at the end, 639 01:30:10,920 --> 01:30:17,670 which is a cube inside a cube, which kind of tells you there's something else, which is one of the big questions in the play. 640 01:30:17,670 --> 01:30:22,290 Is there anything other than what we're sort of sitting inside? 641 01:30:22,290 --> 01:30:26,670 But I think ultimately we found this this shape of the Mobius Strip, 642 01:30:26,670 --> 01:30:32,850 which is a strange loop which sort of folds back on itself a very powerful image for 643 01:30:32,850 --> 01:30:39,060 the idea of two characters sort of needing each other and swapping over by the end. 644 01:30:39,060 --> 01:30:47,400 And as my fantasy with this piece has always been that we should do a sort of 24 hour run where actually at the end of the piece, 645 01:30:47,400 --> 01:30:54,090 of course, X comes back on stage three of those rooms and corridors and burst in on why. 646 01:30:54,090 --> 01:31:01,800 And we just run the play completely again with X and Y swapped over and just see what the dynamics of that changing with. 647 01:31:01,800 --> 01:31:06,880 I wish we'd done that for John Birger. That would have been good. I know would have been amazing. 648 01:31:06,880 --> 01:31:10,740 And just to keep running it and people come in at any point during the 24 hours. 649 01:31:10,740 --> 01:31:12,780 So I think that's my fantasy with this. 650 01:31:12,780 --> 01:31:19,950 But but I think the know embedding mathematics actually is as the shape of the play was, I think one of our dreams, wasn't it, Victoria? 651 01:31:19,950 --> 01:31:27,270 I think. Yeah, we yes. And we wanted it. We originally wanted it to be an almost entirely in mathematical language as well. 652 01:31:27,270 --> 01:31:31,530 But I was like to pick up on something that Simon asked us, which was how did you make it when they were just two of us? 653 01:31:31,530 --> 01:31:34,380 And that resonated very much because they were never just two of us. 654 01:31:34,380 --> 01:31:38,790 And if that had it been just two of us, we would never have made the play because we would have been eating all the time. 655 01:31:38,790 --> 01:31:43,950 It spent our entire very important eating delicious things, going out to restaurants. 656 01:31:43,950 --> 01:31:50,670 So there was always somebody else and it was different people. And sometimes it was you, Simon, and some a lot of the time it was Dermot. 657 01:31:50,670 --> 01:31:57,130 And but I think I think you can make it without somebody observing and us sort of asking about to. 658 01:31:57,130 --> 01:32:03,540 Would never would never have made it clear to so there was always had to be at least a third eye, if not more, 659 01:32:03,540 --> 01:32:10,480 and we've had some incredible collaborators on this piece to whom we are grateful and without which it would not have been made. 660 01:32:10,480 --> 01:32:21,040 Undoubtedly. And Marcus said, you arrived at a point where in where you were examining a mathematical shape, 661 01:32:21,040 --> 01:32:26,860 which demanded the question as to whether there was something more to what do you think Victoria is that has 662 01:32:26,860 --> 01:32:36,010 this has making this piece of theatre as well as just cogitating it's do you feel that there is something more? 663 01:32:36,010 --> 01:32:40,510 Oh, absolutely. And I didn't think that before I made the piece, I made the piece. 664 01:32:40,510 --> 01:32:44,500 I was constantly kind of crying. There must be something more. 665 01:32:44,500 --> 01:32:46,780 I don't mean physically crying. 666 01:32:46,780 --> 01:32:55,060 I mean, just because it's something that y says towards the very beginning of the play, which is looking at looking for out. 667 01:32:55,060 --> 01:32:59,760 And she says there must be something else. This can't be all there is. 668 01:32:59,760 --> 01:33:03,680 I am now fairly sure that that's the case. 669 01:33:03,680 --> 01:33:13,300 What that is, I don't know, and I don't think I ever will, but I'm certainly coming to feel that I we live with the unknowable and it is, 670 01:33:13,300 --> 01:33:15,880 but it's not unknowable because we haven't discovered it yet. 671 01:33:15,880 --> 01:33:23,710 It's unknowable because it is by definition memorable because of our biology, because we are beings that cannot know everything. 672 01:33:23,710 --> 01:33:26,050 And I just wanted to pick up on something you said, Simon, 673 01:33:26,050 --> 01:33:34,000 about making a play because you want to understand something or you want to investigate your relationship with with an idea. 674 01:33:34,000 --> 01:33:41,920 And I think I've always found great difficulty with the fact that I'm a I'm alive now, and at some point I will be dead. 675 01:33:41,920 --> 01:33:46,330 And as Woody Allen said, it's it's infinite is a very long time, especially towards the end. 676 01:33:46,330 --> 01:33:50,920 And that kind of has always troubled me very much. 677 01:33:50,920 --> 01:33:55,900 And so I suppose personally coming into this play was very much about my wanting 678 01:33:55,900 --> 01:34:02,920 to explore my obsession with with awe and fear of death and time being eternal. 679 01:34:02,920 --> 01:34:16,850 And I think now I'm much more comfortable with it because. Because I know that I will never know that there is that what else that there is, 680 01:34:16,850 --> 01:34:20,960 but that there is definitely other stuff that we will we just don't know about. 681 01:34:20,960 --> 01:34:29,680 And that feels that now feels comforting, whereas I think I started thinking about these ideas from a plate, from a place of fear. 682 01:34:29,680 --> 01:34:39,560 I think that's a very close connexion with Beckett. Because the question of what is impossible to know and the idea constantly playing with 683 01:34:39,560 --> 01:34:47,870 the idea that there is of of nothing and nothingness and something and something, 684 01:34:47,870 --> 01:34:57,500 this is right at the heart of Beckett's work, where he of course goes on and he starts taking more and more things away until there isn't anything. 685 01:34:57,500 --> 01:34:59,270 But of course, there is always something. 686 01:34:59,270 --> 01:35:08,540 So and and I suppose one of the images I wanted to ask you, perhaps I could ask you both to answer the image. 687 01:35:08,540 --> 01:35:09,530 Would Mobius strip? 688 01:35:09,530 --> 01:35:17,810 Is that you can when you take the piece of paper and you turn it and you join it up and you have make a line and it can be continuous. 689 01:35:17,810 --> 01:35:27,800 One of the beautiful aspects of it is this idea of continuity that something is there continuously. 690 01:35:27,800 --> 01:35:34,040 And yet, of course, we know that the quality of X and Y are what we would call. 691 01:35:34,040 --> 01:35:38,810 You would call it mathematics, discrete or separate. 692 01:35:38,810 --> 01:35:46,040 And yet something about a subject which interests me very, 693 01:35:46,040 --> 01:35:55,040 very much is this question of continuity because we are brought up to believe the 694 01:35:55,040 --> 01:36:00,140 narrative that we're brought up to believe is that we are all completely separate. 695 01:36:00,140 --> 01:36:08,120 But I'm not convinced that that is true, partly because of different cultures and people that I have. 696 01:36:08,120 --> 01:36:12,200 And a time in Japan, indeed, that we have encountered, 697 01:36:12,200 --> 01:36:22,160 whereby there is a very strong sense of being continuous and contiguous with the outside world in continuous exchange with it. 698 01:36:22,160 --> 01:36:39,830 And I wondered whether Marcus, you what do you feel about this relationship between what you might call separation and the, you know, and continuity? 699 01:36:39,830 --> 01:36:50,210 Because then I suppose. Although numbers are discreet and there's an infinity of numbers joining every 700 01:36:50,210 --> 01:36:57,620 number in between each of those numbers is another infinity and so on so that a g. 701 01:36:57,620 --> 01:37:01,640 Do you think things are discrete or do you think they are continuous? 702 01:37:01,640 --> 01:37:09,230 And I think this absolutely is is one of the real tensions in the play, which is explored because as you've just expressed, 703 01:37:09,230 --> 01:37:17,090 we can we can imagine the idea of infinity numbers going off to infinity dividing numbers. 704 01:37:17,090 --> 01:37:25,400 But the challenge of whether this is physically possible and that's in a sense, is one of those things we don't know. 705 01:37:25,400 --> 01:37:36,620 I mean, whether whether our universe actually contains any instance of the idea of infinity, I mean is, is the universe infinite? 706 01:37:36,620 --> 01:37:39,560 Just it just go on forever. That seems a very strange thing. 707 01:37:39,560 --> 01:37:46,580 And I suppose, you know, that was one of my inspirations for this whole piece was reading Borchers and the Library of Babel, 708 01:37:46,580 --> 01:37:51,890 which is the idea of a space, a library and the librarian in that library, 709 01:37:51,890 --> 01:37:58,970 never being sure whether his library is an infinite load of hexagon hexagonal rooms put together, 710 01:37:58,970 --> 01:38:02,460 or whether there's a wall that you hit and ultimately comes to the idea. 711 01:38:02,460 --> 01:38:11,010 No, the thing is finite, but loops. So this is very interesting that you can create sort of the the possibility of infinity within the finite. 712 01:38:11,010 --> 01:38:17,410 With this idea of something being looped and the possibility of going around it infinitely often. 713 01:38:17,410 --> 01:38:23,660 But I think, you know, quantum physics kind of says that things are not infinitely divisible. 714 01:38:23,660 --> 01:38:27,470 There is a kind of discrete bits that builds everything. 715 01:38:27,470 --> 01:38:32,720 It's quite possible that time itself might. It might be discrete pieces. 716 01:38:32,720 --> 01:38:36,890 So, so quite possible that the universe itself is is finite. 717 01:38:36,890 --> 01:38:39,800 And therefore, that raises the question So what is mathematics? 718 01:38:39,800 --> 01:38:46,580 Then it's something it's always been something sort of separate from from the physical and 719 01:38:46,580 --> 01:38:51,320 scientific world because you can always create things which don't have a physical reality. 720 01:38:51,320 --> 01:38:58,670 We have many different sorts of geometry, and we don't. One of them applies to our universe, but the others are equally possible, but are just models. 721 01:38:58,670 --> 01:39:05,180 That's for a perhaps another sort of universe. But I think one of the things as well that you mentioned, 722 01:39:05,180 --> 01:39:11,210 which is this idea of sort of connexion between things, you know, this is discrete, but that, 723 01:39:11,210 --> 01:39:18,560 you know, each discrete thing only sort of has sort of grows when it's in connexion with something else and that communication between them. 724 01:39:18,560 --> 01:39:26,390 So I think one of the important things is in this play, each of the individuals on their own X and Y is missing something, 725 01:39:26,390 --> 01:39:33,440 and it's only with the communication and collaboration between these two that they realise 726 01:39:33,440 --> 01:39:39,590 what the other has that will help them to to navigate their their world and their challenges. 727 01:39:39,590 --> 01:39:42,980 And it's really is a love affair. I mean, this play really has everything. 728 01:39:42,980 --> 01:39:46,460 It's called depth, it's got love, it's got mathematics. 729 01:39:46,460 --> 01:39:52,400 But I think it is a love affair in some sense between the two where they realise what's missing in them is present. 730 01:39:52,400 --> 01:40:00,410 In the other, the way X experiences taste for the first time, embodiment, physicality. 731 01:40:00,410 --> 01:40:07,370 I think that's one of the journeys of the play. We're back in Victoria. 732 01:40:07,370 --> 01:40:13,800 Well, I was thinking and Marcus was saying that how impossible it was to make a play that wasn't about the relationship between two people. 733 01:40:13,800 --> 01:40:19,040 And I think that wasn't what we wanted to do, but we couldn't help it, which was interesting, 734 01:40:19,040 --> 01:40:25,260 even though for a lot of the play, we're only speaking in sort of algebra that when when two people meet there. 735 01:40:25,260 --> 01:40:27,140 Yeah, with a house, there is a relationship. 736 01:40:27,140 --> 01:40:36,290 I was also thinking about your question, Simon, about whether we are separate or together or continuous, whether things are discrete or continuous. 737 01:40:36,290 --> 01:40:43,880 And I think that's runs through the whole that idea and that idea of an asset toxic relationship. 738 01:40:43,880 --> 01:40:48,470 You were talking about that two lines that can't get closer and closer and closer together, but never, ever meet. 739 01:40:48,470 --> 01:40:56,510 I do a lot of workshops in schools and whenever I ask children or young adults to respond to that idea, 740 01:40:56,510 --> 01:41:01,850 they always do something about two people trying to get closer and closer to each other, but not able to touch. 741 01:41:01,850 --> 01:41:08,810 And I always they always talk about the idea of of of perfect love between two people. 742 01:41:08,810 --> 01:41:13,500 Being this idea of that, you can get closer and closer, but you can never actually be the other person. 743 01:41:13,500 --> 01:41:19,200 You can never merge into the other person. And I had a terrible diagnosis last year. 744 01:41:19,200 --> 01:41:24,200 Some bad news and all I wanted to do was climb inside the body of my husband. 745 01:41:24,200 --> 01:41:29,780 I wanted to enter his body and that that's just something in that's about about these mathematical ideas, 746 01:41:29,780 --> 01:41:34,610 about two things that are so close, but actually ultimately discreet. 747 01:41:34,610 --> 01:41:37,270 It's very much about the tension of love, I think. 748 01:41:37,270 --> 01:41:46,580 And that's exactly I mean, Douglas Hofstadter, his book I Am a Strange Loop, is him dealing with the death, 749 01:41:46,580 --> 01:41:51,890 sudden death of his partner and his realisation that actually the partner because of all 750 01:41:51,890 --> 01:41:57,170 of those connexions that we do sort of a kind of enmeshed ourselves with our memories, 751 01:41:57,170 --> 01:42:05,750 with our just somehow we create a common consciousness between two people spending time together and. 752 01:42:05,750 --> 01:42:13,550 And his idea of, well, what is that and whose idea is this kind of strange loop where things connect and reconnect is 753 01:42:13,550 --> 01:42:20,150 the creation of trying to fight that idea that our consciousness is discrete and only in us? 754 01:42:20,150 --> 01:42:23,990 And it's not true. It's sort of is. And I think that's isn't that, after all, 755 01:42:23,990 --> 01:42:28,600 what we do in theatre is creating a sort of wonderful collective consciousness for 756 01:42:28,600 --> 01:42:35,480 a few short hours together where we sort of are all imagining the same thing, 757 01:42:35,480 --> 01:42:43,280 that wonderful thing you did in a disappearing number, Simon, where you trick us all into imagining the number seven because of a little bit of 758 01:42:43,280 --> 01:42:51,110 algebra and just that magic of us all sorts of having a a sort of a connexion suddenly. 759 01:42:51,110 --> 01:42:54,900 Remember you talking about this a long time ago, 760 01:42:54,900 --> 01:42:59,420 your sense in the theatre that because we're all breathing the same air and we're saying the same thing on stage, 761 01:42:59,420 --> 01:43:04,910 there's a kind of cloud of our collective consciousness is there, which kind of floats above the audience. 762 01:43:04,910 --> 01:43:11,900 And I think that's true. I think as it's sort of the opposite opposite of separateness being being in the theatre. 763 01:43:11,900 --> 01:43:26,560 I think so. And so this brings me on to the question of again, what what, what is mathematics doing in the theatre or theatre doing with mathematics? 764 01:43:26,560 --> 01:43:39,980 And there have been you can think of the plays of Michael Frayn and all sorts of other people, a play called Proof. 765 01:43:39,980 --> 01:43:53,600 But I think Michael David open, there's been many plays written about mathematics, but they've tended to be biographical accounts of the three people. 766 01:43:53,600 --> 01:44:00,230 And I think what is really interesting and what you're doing is, of course, the embodiment of maths. 767 01:44:00,230 --> 01:44:15,350 And of course, that was something that we tried to do a lot in a disappearing number to make it to actually sometimes do real mathematics on stage, 768 01:44:15,350 --> 01:44:22,220 but also make the structure of the play mathematical and make connexions in time between the time of 769 01:44:22,220 --> 01:44:31,220 hardship Ramanujan and time of the present day couple and the structure of the whole piece itself. 770 01:44:31,220 --> 01:44:39,680 And again, the piece, which dealt with both love and death, which seemed intimately connected. 771 01:44:39,680 --> 01:44:52,700 And I suppose one of the things that interests me is the fact that we regard we talk about mathematics as something very much separate. 772 01:44:52,700 --> 01:44:54,050 Although I was bad at maths, 773 01:44:54,050 --> 01:45:04,660 this thing of something being separate in our lives to who we actually are and what is marvellous about your piece is you feel all. 774 01:45:04,660 --> 01:45:09,580 These different elements come together and that this is at the heart of our lives, 775 01:45:09,580 --> 01:45:15,490 and I suppose I just wanted I'm sort of grasping towards a question, but it's that. 776 01:45:15,490 --> 01:45:26,300 And. Is there not a problem somewhere with us in our society in the way that and it comes back to separation again, 777 01:45:26,300 --> 01:45:35,450 the way that we think of all of these areas is being, yeah, separate discrete things. 778 01:45:35,450 --> 01:45:45,530 And in fact, it's a very present problem right now because all the funding to the arts is universities 779 01:45:45,530 --> 01:45:55,880 is being cut as if it's somehow separate to everything else or a kind of thing on top. 780 01:45:55,880 --> 01:45:58,130 And I suppose your experience, 781 01:45:58,130 --> 01:46:07,280 I was wanting to ask yourself about the experience of making it and what people's reactions were while you were making it, 782 01:46:07,280 --> 01:46:17,300 and perhaps talk about some of the reactions to the play itself. But just I'm rooting it in this sense in what I think is a completely arbitrary and 783 01:46:17,300 --> 01:46:27,460 false separation of all the different ways in which human beings enquire in the world. 784 01:46:27,460 --> 01:46:31,090 Yeah, totally. I think that's, you know, most people's perception of mathematics. 785 01:46:31,090 --> 01:46:34,880 You know, what do I do in my office here as a professor of mathematics? 786 01:46:34,880 --> 01:46:38,050 I think they think I'm doing long division to a lot of decimal places. 787 01:46:38,050 --> 01:46:44,410 And, you know, surely I've been put out of a job by now, but actually, it's something very creative about being a mathematician. 788 01:46:44,410 --> 01:46:51,040 And that's of course, what Hardy and mathematicians apology is trying to communicate to people that, 789 01:46:51,040 --> 01:46:55,390 you know, you're playing around with ideas, and I'm actually like, sort of. It's an art. 790 01:46:55,390 --> 01:47:00,340 It is an art. And it's I would say it's but it's, you know, you mentioned that word pattern. 791 01:47:00,340 --> 01:47:04,600 He says there's no such thing as there's no place in the world for ugly mathematics. 792 01:47:04,600 --> 01:47:08,140 Beauty is the first test, is what he said. Exactly. 793 01:47:08,140 --> 01:47:13,180 I mean, I think that was probably quite extreme, and there is unfortunately place for messy mathematics. 794 01:47:13,180 --> 01:47:18,880 But but I think it's, you know, actually, I think mathematics, it's a study of structure and the relationships between things. 795 01:47:18,880 --> 01:47:22,660 And that's why I think you see mathematics coming out all over the place. So. 796 01:47:22,660 --> 01:47:24,280 So that's what's happening in theatre. 797 01:47:24,280 --> 01:47:31,240 The connexions between mathematics and music, you know, music is the art of patterns and and I think there was there was an extraordinary moment, 798 01:47:31,240 --> 01:47:35,410 a disappearing number which felt so mathematical to me because again, it's disappearing. 799 01:47:35,410 --> 01:47:39,460 No grew in the same way as our play. Did you? You did it many times. 800 01:47:39,460 --> 01:47:43,270 It wasn't working at some points. And I remember coming and seeing it in Amsterdam. 801 01:47:43,270 --> 01:47:48,160 And Simon, you going, Look what I've done. You'll see, I've solved it. 802 01:47:48,160 --> 01:47:54,460 I've solved it, you said. And I was just like, Oh, and what had happened was where there were two characters independent characters, 803 01:47:54,460 --> 01:48:02,170 one played by yourself and another an Indian businessman. You'd suddenly realise these were the two same characters and you merged. 804 01:48:02,170 --> 01:48:07,900 These two took yourself out of the play as a character and made these two characters the same. 805 01:48:07,900 --> 01:48:15,520 And that, for me, was totally mathematical. So many times in the maths that I, I scribble on my yellow notepad. 806 01:48:15,520 --> 01:48:22,870 You know that moment of Sony saying, Oh my gosh, that's the same as that, and a whole equation collapses, then the thing just blows outwards. 807 01:48:22,870 --> 01:48:31,120 I mean, that's structural understanding of of all of this piece, I think, you know, it was an extraordinary moment of revelation, 808 01:48:31,120 --> 01:48:39,720 and the piece suddenly worked in a different way after that sort of mathematical revelation. 809 01:48:39,720 --> 01:48:47,280 Interesting. Well, what Hardy said is it may be very hard to define mathematical beauty, but that is just as true a beauty of any kind. 810 01:48:47,280 --> 01:48:54,300 We may not know quite what we mean by a beautiful poem, but that doesn't prevent us from recognising one when we read it. 811 01:48:54,300 --> 01:49:03,470 And I think if we are thinking of theatre and mathematics as separate subjects, which is, I suppose, at the root of your question, why? 812 01:49:03,470 --> 01:49:06,810 Why make a play about maths when they're so different is that I don't believe they 813 01:49:06,810 --> 01:49:12,810 are different because I think they're both utterly rooted in the imagination, all of Max's imaginary concepts. 814 01:49:12,810 --> 01:49:16,110 There's no such thing as to. I mean, it doesn't exist. It's not a real thing. 815 01:49:16,110 --> 01:49:19,290 It's an idea. There isn't an end. 816 01:49:19,290 --> 01:49:27,420 When we were making this play, it seemed at the beginning, quite crudely, but it's extremely easy to see what's real and what's not real. 817 01:49:27,420 --> 01:49:33,990 And actually, of course, it isn't. That reality is incredibly elusive, as is the idea of Tunis. 818 01:49:33,990 --> 01:49:38,370 And and and this ties and I think with what you were asking Typekit about, 819 01:49:38,370 --> 01:49:43,620 but subjects being compartmentalised to those different things when of course, 820 01:49:43,620 --> 01:49:48,630 all they are is different narrative structures, they're just different ways of both of making worlds. 821 01:49:48,630 --> 01:49:51,240 The things that we recognise that we can, 822 01:49:51,240 --> 01:49:57,900 we can we can communicate with each other about the divides between the subjects I think are incredibly artificial. 823 01:49:57,900 --> 01:50:04,320 Certainly in school, they are just that just different, different ways of talking about things, different ways of talking about the same things, 824 01:50:04,320 --> 01:50:10,560 which is us trying to communicate with each other and to make life easier for ourselves and be less frightened of things. 825 01:50:10,560 --> 01:50:19,260 So whether that's whether you're going to do that by studying geography or mathematics or looking at plays, I think they're all the same thing. 826 01:50:19,260 --> 01:50:24,780 I think they're all trying to make sense of what it is to be alive using different kinds of language. 827 01:50:24,780 --> 01:50:30,030 And we we wind up going back to your asking about how to make a mathematical play. 828 01:50:30,030 --> 01:50:34,980 We were always a Marcus, and I very we have very few rules. 829 01:50:34,980 --> 01:50:40,770 But the one was that we wanted it to be an inherently mathematical piece so that there was 830 01:50:40,770 --> 01:50:45,900 it was made up of mathematics and there was mathematics unfolding in front of the audience. 831 01:50:45,900 --> 01:50:50,190 And that you were you were feeling and living in a mathematical way. 832 01:50:50,190 --> 01:50:55,680 We wanted to use a lot of mathematical language. We toyed with using idea entirely mathematical language. 833 01:50:55,680 --> 01:50:59,460 And partly that was because we think I think mathematical language can be useful. 834 01:50:59,460 --> 01:51:07,830 I mean, it's it's there are many beautiful words, robotics and in itself, it's a kind of poetry. 835 01:51:07,830 --> 01:51:12,130 So we thought it might be interesting to make a piece that was not. 836 01:51:12,130 --> 01:51:17,670 It was used nothing but mathematical language just because it's very useful and you 837 01:51:17,670 --> 01:51:25,320 can let it kind of wash over you in a way you can the language you don't understand. It was kind of curious that sort of humour emerged out of that. 838 01:51:25,320 --> 01:51:29,700 I mean, I think you know what is humour is kind of the surprise at things, 839 01:51:29,700 --> 01:51:34,590 and I think that's often what I enjoy about mathematics is is where the equations take 840 01:51:34,590 --> 01:51:39,000 me and I get an emotional response and that's what I want to share with an audience. 841 01:51:39,000 --> 01:51:43,920 It isn't. You know, that's the choices. I make a boring piece, but that's what Heidi was on about. 842 01:51:43,920 --> 01:51:48,720 It's about story. We aren't storytellers. And, you know, a story is about X's and whys. 843 01:51:48,720 --> 01:51:50,700 And but what was very curious, 844 01:51:50,700 --> 01:51:57,210 you mentioned something about the reception of the play because I was very curious because we did this kind of many different venues, 845 01:51:57,210 --> 01:52:01,410 many different places as it evolved and finally arrived at the Barbican. 846 01:52:01,410 --> 01:52:08,330 But the reaction of like eight year old kids on the front row at a festival just laughing their heads off. 847 01:52:08,330 --> 01:52:12,540 But the kind of clowning nature of it and the, you know, the whole eight year olds, 848 01:52:12,540 --> 01:52:16,380 of course, are contemplating whether the universe just goes on forever. 849 01:52:16,380 --> 01:52:20,100 And then somehow we stop asking that question so, so is wonderful. 850 01:52:20,100 --> 01:52:24,240 It was really working for young people, sort of. 851 01:52:24,240 --> 01:52:33,150 It works on a philosophical level. The one place which was so exciting, we took it to India and the audience reaction there was phenomenal. 852 01:52:33,150 --> 01:52:42,120 I think partly because I mean, you mentioned this kind of badge of honour that we seem to wear in the West about being, you know, not good at maths. 853 01:52:42,120 --> 01:52:45,510 And that's somehow something people is proud, somebody proud to say. 854 01:52:45,510 --> 01:52:49,740 But in India, then you know, they have a real respect for mathematics. 855 01:52:49,740 --> 01:52:56,340 And I think what they found surprising, though, was it being taken out of the classroom, which is where they study it, 856 01:52:56,340 --> 01:53:02,070 feel it's very, you know, they are very good at it and seeing it in a theatrical context totally shocked them. 857 01:53:02,070 --> 01:53:06,540 And we had the audiences on their feet sort of cheering in the middle of the play. 858 01:53:06,540 --> 01:53:16,320 It was the most extraordinary experience. So, you know, it was very strange that an Indian audience was always the perfect audience for this. 859 01:53:16,320 --> 01:53:23,250 The one people who actually found it very difficult were maths teachers because they they all people. 860 01:53:23,250 --> 01:53:28,350 The question that sort of comes up a lot, which we now find very funny, is who is it? 861 01:53:28,350 --> 01:53:34,800 Oh, who is this playful and particularly maths teacher say that in fact, one must teach, 862 01:53:34,800 --> 01:53:39,930 reading said to me, I mean, is this the end at GCSE maths students or A-level students? 863 01:53:39,930 --> 01:53:46,680 And of course, the answer to that is that it's for is it's for everybody who's alive and knows that they're going to die. 864 01:53:46,680 --> 01:53:53,880 And it's for every child that's laying on their bed and looked at the night sky and wondered how far it goes and what's what's behind it. 865 01:53:53,880 --> 01:54:01,410 If I flew out that window, would I keep flying forever? So it's very much for everybody. 866 01:54:01,410 --> 01:54:08,130 But I it's interesting that suddenly and journalists as well as a sometimes find it very difficult. 867 01:54:08,130 --> 01:54:13,770 What we won't tell them who it's for. Yes, it's very, extremely revealing. 868 01:54:13,770 --> 01:54:17,580 And what, Marcus, you were saying about the reception in India. 869 01:54:17,580 --> 01:54:25,950 I wish I'd seen it that it must have been amazing. But the children slapping their thighs, literally, it was extraordinary. 870 01:54:25,950 --> 01:54:32,070 Tony, you worked with us on the disappearing. No educated, just so memorable, 871 01:54:32,070 --> 01:54:46,380 memorably showing us how mathematics underpins music so clearly in India that they literally count as part of the music. 872 01:54:46,380 --> 01:55:01,010 And the complexity of that counting and the complexity of the beats is absolutely part of everyday life and the complexity of the patterns of. 873 01:55:01,010 --> 01:55:07,910 That people make on their on their doorsteps are also mathematical, and in a sense, 874 01:55:07,910 --> 01:55:16,250 it's right at the heart of everyday life in a way that it's not necessarily, 875 01:55:16,250 --> 01:55:31,160 although it is, it's not necessarily acknowledged as so in, you know, in what you might call Western or European culture. 876 01:55:31,160 --> 01:55:39,080 But of course, we know, as you rightly point out at the beginning, that, no, you can't have part without mathematics. 877 01:55:39,080 --> 01:55:49,370 But I wanted to ask you one question about the one of the things I think is in the at the heart of it, 878 01:55:49,370 --> 01:55:55,700 which I love is the sense of the unknowability of things. 879 01:55:55,700 --> 01:56:00,770 Because people think about mathematics as nothing, there is a risk. 880 01:56:00,770 --> 01:56:10,930 What I find so beautiful and what you educated me on in this number was how much is unknowable? 881 01:56:10,930 --> 01:56:17,710 And mathematics constantly reveals things, but it also constantly reveals about we can't know like, 882 01:56:17,710 --> 01:56:22,240 you know, we can't possibly know the square root of minus one, 883 01:56:22,240 --> 01:56:28,780 but imagining it to be there, to be something, even though we don't know what it is, 884 01:56:28,780 --> 01:56:37,900 allows us to unravel the next thing in the sense that in King Lear, you can't possibly really know. 885 01:56:37,900 --> 01:56:43,930 What it's about, and yet it puts us in front of the unknowability of things, 886 01:56:43,930 --> 01:56:47,650 of course, it's about acting is about everything in the structure of King Lear. 887 01:56:47,650 --> 01:56:52,330 So fascinating because it's a little bit we say, Well, what is this? 888 01:56:52,330 --> 01:56:56,590 You know, it's again the GCSE thing that we told at school. 889 01:56:56,590 --> 01:57:00,400 We have to write something about the structure of King Lear. 890 01:57:00,400 --> 01:57:08,180 What is the structure? And of course, it's a little bit like trying to write about the structure of a tree. 891 01:57:08,180 --> 01:57:11,030 Because it's always going to be different. 892 01:57:11,030 --> 01:57:20,240 You can't tell why that branch has come off, and while it seems really extraordinary, but it works, it forms the whole tree. 893 01:57:20,240 --> 01:57:24,800 I mean, you can't tell why King Lear disappears for 20 minutes, but it works. 894 01:57:24,800 --> 01:57:35,390 You know it is. It is organic. And I suppose that is one of the things that appears in the play is that there is, as it were, 895 01:57:35,390 --> 01:57:46,790 an unknowable and perhaps you might hate the phrase, but organic quality to that appear to do with mathematics. 896 01:57:46,790 --> 01:57:51,620 Yeah, I mean, I think unknowability of things. So it's rather alarming. 897 01:57:51,620 --> 01:57:57,140 No. But I think one of the biggest revelations I had at university was when I studied 898 01:57:57,140 --> 01:58:03,530 girdles incompleteness theorem because this was the discovery in the 20th century that, 899 01:58:03,530 --> 01:58:11,990 you know, we thought mathematics was about knowing things, but actually what girdle shows using the idea of a strangely, 900 01:58:11,990 --> 01:58:17,540 the fact that mathematics can actually talk about itself and and actually prove its own 901 01:58:17,540 --> 01:58:24,440 limitations that within any system of mathematics and perhaps we should say within any system, 902 01:58:24,440 --> 01:58:34,880 actually there will always be true statements that you cannot prove are true within that system, provided the system is complex enough. 903 01:58:34,880 --> 01:58:38,870 And that's, you know, that's at the heart of mathematics now. 904 01:58:38,870 --> 01:58:48,530 But I think absolutely you said that any system will always have its sort of unknowable unless it's so simple that it's not interesting. 905 01:58:48,530 --> 01:58:58,150 So the idea of a strange loop is absolutely this fact that we can prove about systems that there are things we will never know. 906 01:58:58,150 --> 01:59:10,970 Victoria, yes, I agree. And I think I, you know, I look at I look at my my little dog, but I know that that dog will never be able to. 907 01:59:10,970 --> 01:59:16,820 To do mathematics that we'll never be able to speak French. Never be able to read a Latin poem. 908 01:59:16,820 --> 01:59:21,050 But I know that he's perfectly functioning as adult and in such things. 909 01:59:21,050 --> 01:59:25,730 I think that as a human being, it's a strange arrogance to think that I can. 910 01:59:25,730 --> 01:59:32,210 I can know everything because I'm a piece of biology. I'm a piece of complicated meat. 911 01:59:32,210 --> 01:59:39,830 So the idea that I can, I can know everything there is seems more as I get older, more and more and more ridiculous. 912 01:59:39,830 --> 01:59:45,260 Because of course, I can't know everything because I am just an animal and animals can't know everything. 913 01:59:45,260 --> 01:59:50,090 And I, yes, I am, but more and more comfortable with that fact, actually. 914 01:59:50,090 --> 01:59:58,610 But just wants to come back briefly to the idea of India and the mathematics being more part of the culture. 915 01:59:58,610 --> 02:00:04,880 I think in the West, I feel very strongly about my closing schools that we've got the idea that in order to enjoy mathematics, 916 02:00:04,880 --> 02:00:08,540 one must be very good at it. And I don't think that's true. 917 02:00:08,540 --> 02:00:16,990 I think that very small children enjoy mathematics in its pure simplicity because it's about patterns and it's about security and comfort. 918 02:00:16,990 --> 02:00:22,160 And the same thing, if you do something twice, the same thing will happen. And that's a marvellous thing. 919 02:00:22,160 --> 02:00:27,380 And human beings look for patterns everywhere, and it seems to be a strange kind of irony. 920 02:00:27,380 --> 02:00:31,850 You can only enjoy something if you're really, really amazingly good at it. 921 02:00:31,850 --> 02:00:35,990 And then, of course, you'll never as good as the person who's left that little bit better than me. 922 02:00:35,990 --> 02:00:39,290 So I think it's a shame that we did that. 923 02:00:39,290 --> 02:00:43,370 We children don't more enjoy, just enjoy doing mathematics, and I think small children do, 924 02:00:43,370 --> 02:00:52,070 and they're taught out of it in our society to think that it's only that people who are good who are allowed to have mathematics themselves. 925 02:00:52,070 --> 02:01:02,180 Well, I'm tempted to use some of the people who are listening to this to imagine that when we were improvising the disappearing number we tried, 926 02:01:02,180 --> 02:01:06,050 we could try to embody the character of different numbers. 927 02:01:06,050 --> 02:01:09,300 So what was the character of seven? 928 02:01:09,300 --> 02:01:17,450 You know what kind of person was seven or what kind of you know, or five or six which which were the more boring ones? 929 02:01:17,450 --> 02:01:21,650 Which were the more interesting ones? 930 02:01:21,650 --> 02:01:28,640 We actually literally tried to put that in our bodies and then we tried to guess what you were. 931 02:01:28,640 --> 02:01:39,230 You were characterising. And I think that's one of the remarkable things about this piece is that and it's led up to work that I think 932 02:01:39,230 --> 02:01:47,450 both of you have done and you've done Victoria and really wonderful work in in schools and with young people, 933 02:01:47,450 --> 02:02:01,070 which is to literally and Marcus to to to get people to enjoy mathematics by standing up and embodying it themselves. 934 02:02:01,070 --> 02:02:07,190 And you showed us, I remember in a wonderful exercise in the rehearsal process. 935 02:02:07,190 --> 02:02:16,880 You showed us literally as we stood there, how we could, how one infinity could be bigger than another. 936 02:02:16,880 --> 02:02:21,020 So I take that away as a fond memory. 937 02:02:21,020 --> 02:02:25,640 Are you? Do you still do any of that that work out of it? 938 02:02:25,640 --> 02:02:34,700 This is because I'm interested in what this sort of work gives on to other people as well. 939 02:02:34,700 --> 02:02:39,430 I've been working in schools since all the time we have been making this play, 940 02:02:39,430 --> 02:02:48,250 but since we made a disappearing number and really looking at patterns and letting children make patterns together in space, 941 02:02:48,250 --> 02:02:54,220 using rhythm and their bodies and their breath and each and the fact that they're together. 942 02:02:54,220 --> 02:03:00,490 And it's a way of exploring mathematics through the body and through through being together as an ensemble. 943 02:03:00,490 --> 02:03:07,630 And I think it's very powerful, actually that sense of the children can have of working together with with certain rules and to create very 944 02:03:07,630 --> 02:03:14,110 beautiful patterns so that instead of answering a question that the teacher is asking about a piece of arithmetic, 945 02:03:14,110 --> 02:03:20,380 they are actually doing mathematics, whether they like it or not, with their bodies in the space together. 946 02:03:20,380 --> 02:03:26,890 And I get huge amounts of pleasure as not because I think there's something very fundamental there about us being about about human beings, 947 02:03:26,890 --> 02:03:32,000 loving patterns and rhythm because of our biology. 948 02:03:32,000 --> 02:03:36,830 Yeah, I totally agree with that, and I think coming back to your point, Simon, about and Victoria, 949 02:03:36,830 --> 02:03:42,110 you mentioned as well the tragedy that our education system compartmentalise these subjects. 950 02:03:42,110 --> 02:03:49,430 And I think that's always been my mission really to show that mathematics is is bubbling underneath everything, you know, 951 02:03:49,430 --> 02:03:59,000 music, it's got a history, it's got personality, but it also has theatre in it, which is what I hope this piece has shown. 952 02:03:59,000 --> 02:04:05,630 You're both absolutely brilliant. The play is brilliant. What a joy to be speaking with both of you. 953 02:04:05,630 --> 02:04:27,537 Thank you, Simon. Thank you, Simon.