WEBVTT 00:00:00.000 --> 00:00:03.580 Welcome to today's deep dive. Now, to start off, 00:00:03.779 --> 00:00:05.980 grab a pen and just, you know, try to turn the 00:00:05.980 --> 00:00:08.160 number three into an eight. It takes almost zero 00:00:08.160 --> 00:00:10.560 effort, really. Right. You just close the two 00:00:10.560 --> 00:00:12.560 loops on the left side and suddenly you have 00:00:12.560 --> 00:00:15.699 a completely different digit. And for centuries, 00:00:16.339 --> 00:00:20.760 that single simple pen stroke cost banks, merchants 00:00:20.760 --> 00:00:23.359 and accountants an absolute fortune and fraud. 00:00:23.519 --> 00:00:25.300 People would literally just alter the ledgers. 00:00:25.440 --> 00:00:28.800 Exactly. Yeah. But eventually. Someone invented 00:00:28.800 --> 00:00:31.960 a secret mutated version of the number 3 to stop 00:00:31.960 --> 00:00:35.079 it. And I guarantee that mutated version is hiding 00:00:35.079 --> 00:00:37.579 in your house right now. Oh, it is absolutely 00:00:37.579 --> 00:00:40.020 hiding in plain sight. I mean, we spend our lives 00:00:40.020 --> 00:00:42.679 surrounded by these invisible mechanics. We really 00:00:42.679 --> 00:00:45.060 do. We treat the number 3 as just a simple placeholder 00:00:45.060 --> 00:00:47.200 for counting, you know, merely the stepping stone 00:00:47.200 --> 00:00:49.960 between 2 and 4. But when you look at the historical, 00:00:50.179 --> 00:00:52.200 mathematical, and anthropological data we are 00:00:52.200 --> 00:00:54.619 covering today, you start to see that 3 isn't 00:00:54.619 --> 00:00:56.759 just a quantity. It's something much bigger. 00:00:56.909 --> 00:01:00.310 Yes, it represents a fundamental structural stability. 00:01:00.729 --> 00:01:03.450 It's almost like a kind of inviolable law built 00:01:03.450 --> 00:01:06.950 into the physical universe and hardwired right 00:01:06.950 --> 00:01:09.430 into our psychology. And our mission today for 00:01:09.430 --> 00:01:12.310 you, the listener, is to explore that profound 00:01:12.310 --> 00:01:15.569 ubiquity. Our sources pull from a massive range 00:01:15.569 --> 00:01:18.709 of disciplines. We're tracking this single concept 00:01:18.709 --> 00:01:21.409 from the evolution of the physical digit itself 00:01:21.409 --> 00:01:24.310 deep into early human cognition. There are some 00:01:24.310 --> 00:01:26.909 genuinely mind -bending mathematical anomalies, 00:01:27.230 --> 00:01:29.069 too. Yeah, and finally into the life or death 00:01:29.069 --> 00:01:32.349 roots of global superstitions. OK, let's unpack 00:01:32.349 --> 00:01:33.989 this, starting with the literal shape of the 00:01:33.989 --> 00:01:36.609 number. How did we land on this curvy little 00:01:36.609 --> 00:01:38.549 character? Well, the physical shape we use for 00:01:38.549 --> 00:01:40.969 three is the result of a massive geographic and 00:01:40.969 --> 00:01:43.530 cultural evolution. If you look at many early 00:01:43.530 --> 00:01:45.590 writing systems, and even some still in use, 00:01:46.049 --> 00:01:48.150 like Roman and Chinese numerals three is just 00:01:48.150 --> 00:01:50.650 denoted by three distinct lines. So just like 00:01:50.650 --> 00:01:52.709 tally marks. Exactly. And that was the original 00:01:52.709 --> 00:01:55.030 representation in the Brahmic numerical notation 00:01:55.030 --> 00:01:58.370 in ancient India too. But originally, those three 00:01:58.370 --> 00:02:00.790 individual lines were stacked vertically. Just 00:02:00.790 --> 00:02:03.269 three vertical tally marks standing next to each 00:02:03.269 --> 00:02:05.090 other. That makes intuitive sense for counting. 00:02:05.390 --> 00:02:08.770 It does. But language always trends toward efficiency. 00:02:09.389 --> 00:02:11.969 During the Gupta empire in India, Writers started 00:02:11.969 --> 00:02:14.370 modifying those vertical signs by adding a little 00:02:14.370 --> 00:02:16.789 curve to the top of each line. Okay, I can kind 00:02:16.789 --> 00:02:19.509 of picture that. Yeah. And later, as the Nagari 00:02:19.509 --> 00:02:22.129 script developed in the region, scribes actually 00:02:22.129 --> 00:02:24.990 rotated those lines clockwise. So now they were 00:02:24.990 --> 00:02:27.430 lying horizontal, and they ended each line with 00:02:27.430 --> 00:02:30.509 a short downward stroke on the right side. Oh, 00:02:30.509 --> 00:02:33.349 wow. It's like the distinct tallies are slowly 00:02:33.349 --> 00:02:35.849 melting and flowing together into a single block 00:02:35.849 --> 00:02:38.810 of ink. Right. And that flow is entirely driven 00:02:38.810 --> 00:02:42.210 by the physical act of writing. As cursive scripts 00:02:42.210 --> 00:02:45.090 gained popularity, scribes naturally wanted to 00:02:45.090 --> 00:02:47.569 write faster. Because lifting the pen off the 00:02:47.569 --> 00:02:49.629 parchment three separate times slows you down. 00:02:50.030 --> 00:02:52.849 Exactly. So those three horizontal strokes were 00:02:52.849 --> 00:02:55.669 eventually connected into a single continuous 00:02:55.669 --> 00:02:58.509 flowing motion. It ended up looking very much 00:02:58.509 --> 00:03:01.069 like our modern numeral three, but with an additional 00:03:01.069 --> 00:03:03.509 third loop or stroke hanging down at the bottom. 00:03:03.610 --> 00:03:05.509 So it was essentially a three -tiered shape. 00:03:05.629 --> 00:03:08.129 Precisely. And the journey gets really interesting 00:03:08.129 --> 00:03:10.569 when you track its movement out of India. By 00:03:10.569 --> 00:03:13.909 the ninth century, these digits spread to the 00:03:13.909 --> 00:03:16.810 Islamic caliphate. And this is where a major 00:03:16.810 --> 00:03:19.949 geographic and typographical split happens. A 00:03:19.949 --> 00:03:21.569 split, like they couldn't agree on how to draw 00:03:21.569 --> 00:03:24.360 it. Sort of. Around the 10th century, the western 00:03:24.360 --> 00:03:26.840 territories of the Caliphate places like the 00:03:26.840 --> 00:03:30.240 Maghreb in North Africa and Al -Andalus in Islamic 00:03:30.240 --> 00:03:33.159 Spain modified the symbol. The scribes there 00:03:33.159 --> 00:03:36.039 just dropped that bottom stroke entirely to write 00:03:36.039 --> 00:03:38.699 even faster. Wait, so just slicing off the bottom 00:03:38.699 --> 00:03:41.539 loop created our modern three. Yeah, that specific 00:03:41.539 --> 00:03:44.319 regional shorthand created the modern Western 00:03:44.319 --> 00:03:46.439 three we know today. Did the Eastern territories 00:03:46.439 --> 00:03:48.800 just reject that shorthand or what? They took 00:03:48.800 --> 00:03:50.680 a completely different approach. The Eastern 00:03:50.680 --> 00:03:53.539 Arabs actually retained and even enlarged that 00:03:53.539 --> 00:03:55.919 bottom stroke, and then they rotated the entire 00:03:55.919 --> 00:03:58.580 digit one more time. Oh, fascinating. Yeah, that 00:03:58.580 --> 00:04:01.360 yielded the modern Eastern Arabic digit for three, 00:04:01.680 --> 00:04:03.759 the symbol that visually looks like a backward 00:04:03.759 --> 00:04:06.560 capital E pointing upward. So we have geography 00:04:06.560 --> 00:04:09.810 literally dictating typography. That actually 00:04:09.810 --> 00:04:11.870 brings me back to the fraud prevention tactic 00:04:11.870 --> 00:04:14.150 I mentioned earlier. The sources highlight a 00:04:14.150 --> 00:04:16.910 specific graphic variant used in modern commerce 00:04:16.910 --> 00:04:20.550 called the Banker's 3. Yes, the Banker's 3 is 00:04:20.550 --> 00:04:23.269 a fantastic example of form following necessity. 00:04:23.569 --> 00:04:25.970 It is a variant of the digit that features a 00:04:25.970 --> 00:04:29.110 completely flat horizontal line at the top, followed 00:04:29.110 --> 00:04:32.290 by a jagged zigzag before curving into the bottom 00:04:32.290 --> 00:04:34.250 loop. It looks somewhat like the phonetic letter 00:04:34.250 --> 00:04:36.329 S, right? It does, yes. Wait, so you're telling 00:04:36.329 --> 00:04:39.500 me the typeface on my standard 52 - card playing 00:04:39.500 --> 00:04:42.839 deck or like the UPCA barcode on my cereal box 00:04:42.839 --> 00:04:46.319 wasn't chosen by a designer for aesthetic reasons. 00:04:46.720 --> 00:04:48.899 It's basically an anti -counterfeiting measure. 00:04:49.139 --> 00:04:50.779 In many commercial and standardized formats, 00:04:51.300 --> 00:04:53.220 absolutely. Because of that sharp, flat top, 00:04:53.439 --> 00:04:55.720 a forger cannot easily take a pen and round out 00:04:55.720 --> 00:04:58.060 the edges to turn the three into an eight. The 00:04:58.060 --> 00:04:59.939 angles fight against the natural loops of an 00:04:59.939 --> 00:05:03.319 eight. That is so clever. It is. What's fascinating 00:05:03.319 --> 00:05:05.879 here is tracing the broader implications of these 00:05:05.879 --> 00:05:08.720 symbols. When you look at a banker's three on 00:05:08.720 --> 00:05:11.399 a barcode or the curvy three on a handwritten 00:05:11.399 --> 00:05:15.139 note, you are looking at centuries of human behavior. 00:05:15.279 --> 00:05:17.220 Yeah, you're literally tracing ancient trade 00:05:17.220 --> 00:05:19.980 routes across the Maghreb. Exactly. And you are 00:05:19.980 --> 00:05:22.540 seeing the physical defenses we built to protect 00:05:22.540 --> 00:05:25.600 our commerce. Every curve is a historical fingerprint. 00:05:26.289 --> 00:05:28.750 But, you know, while the symbol for three went 00:05:28.750 --> 00:05:30.990 through countless revisions to accommodate human 00:05:30.990 --> 00:05:34.250 behavior, the human concept of three represents 00:05:34.250 --> 00:05:37.529 this absolute immovable cognitive wall in our 00:05:37.529 --> 00:05:39.870 early history. Let's talk about the biological 00:05:39.870 --> 00:05:42.259 limits of counting. Right. This requires looking 00:05:42.259 --> 00:05:45.180 at early human anthropology, specifically how 00:05:45.180 --> 00:05:47.680 isolated civilizations perceived quantities. 00:05:48.240 --> 00:05:50.360 Anthropologists and linguists have studied numerous 00:05:50.360 --> 00:05:53.800 indigenous groups in completely disparate, unconnected 00:05:53.800 --> 00:05:56.519 regions. Like where? Well, like isolated tribes 00:05:56.519 --> 00:05:59.300 deep in the Amazon rainforest, or specific aboriginal 00:05:59.300 --> 00:06:01.500 groups in Australia and the jungles of Borneo. 00:06:02.040 --> 00:06:04.120 And many of them independently developed the 00:06:04.120 --> 00:06:06.439 exact same counting system. Which was what? They 00:06:06.439 --> 00:06:09.959 count one, two, three, and thereafter, any higher 00:06:09.959 --> 00:06:12.819 quantity. is simply labeled many. Here's where 00:06:12.819 --> 00:06:15.240 it gets really interesting for me. How do we 00:06:15.240 --> 00:06:18.240 know that is an actual cognitive ceiling and 00:06:18.240 --> 00:06:22.160 not just a quirk of their language? Maybe they 00:06:22.160 --> 00:06:24.220 just didn't bother inventing words for four and 00:06:24.220 --> 00:06:26.319 five because they didn't need them. That is the 00:06:26.319 --> 00:06:28.699 exact question researchers had to answer. They 00:06:28.699 --> 00:06:30.980 conducted tests that didn't rely on spoken language 00:06:30.980 --> 00:06:33.199 at all. They would use matching games. Okay, 00:06:33.319 --> 00:06:36.000 how did that work? A researcher might place five 00:06:36.000 --> 00:06:38.680 stones in a row and ask a tribesman to place 00:06:38.680 --> 00:06:41.459 the exact same number of stones in a parallel 00:06:41.459 --> 00:06:45.519 row. For quantities of one, two, or three, the 00:06:45.519 --> 00:06:48.079 participants could match them perfectly and instantly. 00:06:48.480 --> 00:06:51.259 But what happened with four or five? The exactness 00:06:51.259 --> 00:06:53.899 vanished. The participants would just grab a 00:06:53.899 --> 00:06:56.120 handful of stones and place down an approximate 00:06:56.120 --> 00:06:58.660 pile. They couldn't reliably match the exact 00:06:58.660 --> 00:07:00.740 quantity without counting them out sequentially, 00:07:01.100 --> 00:07:03.360 which their language didn't support. Man, it's 00:07:03.360 --> 00:07:05.420 like trying to hold objects in your hands. If 00:07:05.420 --> 00:07:07.939 I toss you an apple, you got one. I toss you 00:07:07.939 --> 00:07:10.439 a second, you have two. I toss you a third, you 00:07:10.439 --> 00:07:12.720 can still distinctively hold and recognize those 00:07:12.720 --> 00:07:14.319 three separate apples. Right, you can manage 00:07:14.319 --> 00:07:16.879 three. But if I toss you a fourth or a fifth... 00:07:16.920 --> 00:07:19.220 You just have an armful. You stop perceiving 00:07:19.220 --> 00:07:21.939 the individual units and just perceive the mass. 00:07:22.319 --> 00:07:25.259 That is a perfect analogy. In cognitive psychology, 00:07:25.579 --> 00:07:29.160 this ability to instantly and accurately recognize 00:07:29.160 --> 00:07:31.459 the quantity of a small group of objects without 00:07:31.459 --> 00:07:34.300 actually counting them is called subitizing. 00:07:34.480 --> 00:07:37.800 Subitizing. Yes. And the biological limit of 00:07:37.800 --> 00:07:40.399 human subitizing is almost universally capped 00:07:40.399 --> 00:07:44.180 at three or four. The sheer anthropological significance 00:07:44.180 --> 00:07:47.189 of that is staggering. because it's a universal 00:07:47.189 --> 00:07:50.269 human trait. Exactly. The fact that entirely 00:07:50.269 --> 00:07:52.490 disconnected populations across the globe hit 00:07:52.490 --> 00:07:54.949 the exact same mathematical threshold heavily 00:07:54.949 --> 00:07:57.810 suggests that 3 is deeply hardwired into basic 00:07:57.810 --> 00:08:01.089 human cognition. It acts as the biological boundary 00:08:01.089 --> 00:08:04.709 of exactness. Up to 3 we count, beyond 3 we estimate. 00:08:04.970 --> 00:08:07.670 We basically cross over from precision into just 00:08:07.670 --> 00:08:10.959 volume. Exactly. It's our built -in cognitive 00:08:10.959 --> 00:08:13.740 ceiling for intuitive quantity. But, okay, if 00:08:13.740 --> 00:08:16.779 our brains naturally tap out at three for intuitive 00:08:16.779 --> 00:08:20.040 counting, mathematicians eventually realize that 00:08:20.040 --> 00:08:22.899 three is actually the gateway to infinite numerical 00:08:22.899 --> 00:08:25.300 complexity. We have to dive into the arithmetic 00:08:25.300 --> 00:08:28.379 because three is mathematically stubborn in ways 00:08:28.379 --> 00:08:30.939 that border on magic. It certainly holds a lot 00:08:30.939 --> 00:08:33.639 of unique titles in number theory. It is the 00:08:33.639 --> 00:08:36.399 first odd prime number. It forms a twin prime 00:08:36.399 --> 00:08:39.250 pair with the number five. and a cousin prime 00:08:39.250 --> 00:08:41.750 pair with the number 7. It's everywhere. It really 00:08:41.750 --> 00:08:44.330 is. It is deeply woven into how we calculate 00:08:44.330 --> 00:08:46.830 the fundamental geometry of the universe, serving 00:08:46.830 --> 00:08:49.409 as a rough integer approximation for both pi 00:08:49.409 --> 00:08:52.629 and Euler's number. But the most interactive 00:08:52.629 --> 00:08:55.669 property, the one we teach early on, is its divisibility 00:08:55.669 --> 00:08:57.509 rule. Oh, this is the rule where you add up the 00:08:57.509 --> 00:09:00.840 digits, right? Yes. If you want to know if a 00:09:00.840 --> 00:09:03.480 massive natural number is cleanly divisible by 00:09:03.480 --> 00:09:05.980 3, you don't need to do any long division. You 00:09:05.980 --> 00:09:08.299 just sum its individual digits. So if that sum 00:09:08.299 --> 00:09:10.799 is divisible by 3, then the entire massive number 00:09:10.799 --> 00:09:13.019 is as well. Let's give a quick example as you 00:09:13.019 --> 00:09:15.720 listen. Take the number 1 plus 2 plus 3, you 00:09:15.720 --> 00:09:20.139 get 6. 6 is divisible by 3, which means 123 is 00:09:20.139 --> 00:09:22.460 cleanly divisible by 3. Yep, it's that simple. 00:09:22.840 --> 00:09:25.379 And the wildest part of this rule is that any 00:09:25.379 --> 00:09:28.679 permutation of that number, like 321 or 213, 00:09:29.279 --> 00:09:31.970 is also inherently divisible by 3. And this isn't 00:09:31.970 --> 00:09:33.850 just a random trick of mathematics. It works 00:09:33.850 --> 00:09:36.429 specifically because of the base 10 system we 00:09:36.429 --> 00:09:39.470 use. 10 is exactly 1 more than a multiple of 00:09:39.470 --> 00:09:42.549 3, which is 9. Ah, OK. Because of that structural 00:09:42.549 --> 00:09:45.129 relationship, the positional value of the digits 00:09:45.129 --> 00:09:46.889 essentially collapses when you're looking for 00:09:46.889 --> 00:09:50.070 factors of 3. And to add a layer of depth, that 00:09:50.070 --> 00:09:52.990 rule works in any positional numeral system whose 00:09:52.990 --> 00:09:55.669 base leaves a remainder of 1 when divided by 00:09:55.669 --> 00:09:58.210 3. So you'd see the same elegant pattern in base 00:09:58.210 --> 00:10:00.730 4 or base 7. OK, I track the divisibility rule. 00:10:00.990 --> 00:10:03.710 But I have to push back on one highly specific 00:10:03.710 --> 00:10:05.809 fact from the math section of the sources because 00:10:05.809 --> 00:10:08.289 it requires some unpacking. Sure. The text notes 00:10:08.289 --> 00:10:11.149 that three is the only prime number in existence 00:10:11.149 --> 00:10:15.450 that is one less than a perfect square. Can you 00:10:15.450 --> 00:10:17.789 break down why that makes three so incredibly 00:10:17.789 --> 00:10:19.769 lonely in the infinite landscape of numbers? 00:10:19.889 --> 00:10:22.490 Like, why is it the only one? It does seem counterintuitive 00:10:22.490 --> 00:10:25.269 that in the infinity of mathematics, only three 00:10:25.269 --> 00:10:27.990 holds that title. To understand why, we just 00:10:27.990 --> 00:10:30.620 need to look at the algebra behind it. Any number 00:10:30.620 --> 00:10:32.879 that is one less than a perfect square can be 00:10:32.879 --> 00:10:36.460 written as the formula n squared minus one. Okay, 00:10:36.580 --> 00:10:39.460 assuming n is our base number. Right. Now, in 00:10:39.460 --> 00:10:41.539 algebra, there is a fundamental rule for the 00:10:41.539 --> 00:10:44.019 difference of squares. The formula n squared 00:10:44.019 --> 00:10:46.740 minus one can always be factored or broken down 00:10:46.740 --> 00:10:49.379 into two smaller multiplied pieces. Which are? 00:10:49.740 --> 00:10:52.080 The quantity of n minus one multiplied by the 00:10:52.080 --> 00:10:54.139 quantity of n plus one. The formula basically 00:10:54.139 --> 00:10:57.639 breaks into two distinct chunks. Precisely. Now... 00:10:57.710 --> 00:11:00.389 Recall that a prime number, by its very nature, 00:11:00.730 --> 00:11:02.730 refuses to be broken into smaller whole parts. 00:11:03.049 --> 00:11:05.769 It has no factors other than 1 in itself. Right. 00:11:06.149 --> 00:11:08.190 So if your algebra formula mandates that the 00:11:08.190 --> 00:11:10.870 number breaks into two separate factors, n minus 00:11:10.870 --> 00:11:14.149 1 and n plus 1, the resulting number can't possibly 00:11:14.149 --> 00:11:17.830 be prime. Oh, wait. Unless the smaller of those 00:11:17.830 --> 00:11:19.830 two factors happens to be exactly the number 00:11:19.830 --> 00:11:22.850 1. Ah, you see the trap. Let's test it. If we 00:11:22.850 --> 00:11:25.909 make our base number n equal to 2, then our factors 00:11:25.909 --> 00:11:29.370 are 2 minus 1, which gives us 1, and 2 plus 1, 00:11:29.370 --> 00:11:32.570 which gives us 3. And 1 times 3 is 3, so it remains 00:11:32.570 --> 00:11:35.129 prime. Exactly. But what happens if we go higher? 00:11:35.149 --> 00:11:37.649 Let's try n equals 3. OK. Our factors become 00:11:37.649 --> 00:11:40.929 3 minus 1, which is 2, and 3 plus 1, which is 00:11:40.929 --> 00:11:44.580 4. 2 times 4 is 8. 8 is clearly not prime. Yeah, 00:11:44.600 --> 00:11:47.120 it totally falls apart. If n is 4, the factors 00:11:47.120 --> 00:11:50.860 are 3 and 5, making 15 not prime. Because the 00:11:50.860 --> 00:11:52.940 smaller factor in that formula will always be 00:11:52.940 --> 00:11:55.480 2 or greater from that point on, the product 00:11:55.480 --> 00:11:57.860 can never be a prime number again. That is wild. 00:11:58.059 --> 00:12:01.100 That specific algebraic mechanic isolates 3 as 00:12:01.100 --> 00:12:04.039 mathematically solitary. It is entirely inviolable. 00:12:04.159 --> 00:12:06.639 It just refuses to break down. But does that 00:12:06.639 --> 00:12:08.779 abstract solitary math actually matter to me 00:12:08.779 --> 00:12:11.480 when I drive over a suspension bridge? Does mathematical 00:12:11.480 --> 00:12:13.500 stubbornness translate into the physical world? 00:12:13.639 --> 00:12:16.279 it translates directly into the physical world 00:12:16.279 --> 00:12:19.919 through geometry. That... mathematical inviolability 00:12:19.919 --> 00:12:22.960 becomes physical inviolability in the shape of 00:12:22.960 --> 00:12:25.340 the triangle. The classic three -sided shape. 00:12:25.480 --> 00:12:28.779 Yes. A triangle is a polygon made of three sides. 00:12:29.200 --> 00:12:32.059 It is the smallest non -self -intersecting polygon 00:12:32.059 --> 00:12:35.480 possible, and uniquely, it is the only polygon 00:12:35.480 --> 00:12:38.139 that does not have proper diagonals. Which means 00:12:38.139 --> 00:12:41.120 it has nowhere to fold. If you push on a square, 00:12:41.500 --> 00:12:44.519 it can skew into a rhombus. Exactly. Because 00:12:44.519 --> 00:12:47.299 it has no diagonals to shear, the triangle is 00:12:47.299 --> 00:12:49.700 the most stable physical shape in existence. 00:12:50.120 --> 00:12:52.799 When you apply force to any one point or joint 00:12:52.799 --> 00:12:55.879 of a triangle, those two other sides immediately 00:12:55.879 --> 00:12:58.320 brace against it. So the physical load is perfectly 00:12:58.320 --> 00:13:00.460 distributed across the structure. That is why 00:13:00.460 --> 00:13:02.820 every steel bridge, every construction crane, 00:13:02.879 --> 00:13:04.980 and every architectural truss holding up a roof 00:13:04.980 --> 00:13:07.600 is just a vast interlocking lattice of triangles. 00:13:07.820 --> 00:13:10.440 So three is mathematically isolated in arithmetic, 00:13:11.000 --> 00:13:12.860 physically unbreakable in structural engineering, 00:13:13.019 --> 00:13:15.879 and biologically hardwired as our ceiling for 00:13:15.879 --> 00:13:23.019 exact cognition. It really is foundational. Like, 00:13:23.059 --> 00:13:25.320 did they notice that three was holding the universe 00:13:25.320 --> 00:13:28.440 together? They absolutely did. And the jump from 00:13:28.440 --> 00:13:31.039 recognizing that mathematical perfection to developing 00:13:31.039 --> 00:13:34.120 spiritual reverence is a very natural human progression. 00:13:34.899 --> 00:13:37.019 Pythagoras and his followers in ancient Greece 00:13:37.019 --> 00:13:39.840 were profoundly obsessed with three. What are 00:13:39.840 --> 00:13:42.779 they calling? They called it the triad. They 00:13:42.779 --> 00:13:45.139 viewed it as the ultimate symbol of harmony because 00:13:45.139 --> 00:13:47.779 it is the only number to equal the sum of all 00:13:47.779 --> 00:13:50.259 the terms below it, one plus two equals three. 00:13:50.759 --> 00:13:53.019 They believed it contained the beginning, the 00:13:53.019 --> 00:13:55.220 middle, and the end of all things. And when you 00:13:55.220 --> 00:13:58.039 look at the sources, it seems like nearly every 00:13:58.039 --> 00:14:00.539 major world religion took that concept of the 00:14:00.539 --> 00:14:02.980 triad and built their theology around it. Oh, 00:14:03.039 --> 00:14:05.220 without a doubt. You have an incredible array 00:14:05.220 --> 00:14:08.100 of triple deities across entirely unconnected 00:14:08.100 --> 00:14:10.580 cultures. There's the Hindu Trimurti and Tridevi, 00:14:11.019 --> 00:14:13.500 the Triglav literally translating to the three 00:14:13.500 --> 00:14:15.360 -headed one who was the chief deity in Slavic 00:14:15.360 --> 00:14:17.440 mythology. Right, and it goes on. You have the 00:14:17.440 --> 00:14:19.659 three jewels of Buddhism, the three pure ones 00:14:19.659 --> 00:14:23.039 of Taoism. In Christianity, you have the Holy 00:14:23.039 --> 00:14:25.620 Trinity, visually represented by the shield of 00:14:25.620 --> 00:14:28.360 the Trinity diagram. You also have the triple 00:14:28.360 --> 00:14:31.429 goddess of Wicca. Humanity seems completely desperate 00:14:31.429 --> 00:14:33.929 to categorize the divine in sets of three. And 00:14:33.929 --> 00:14:36.309 that desperation to categorize doesn't stop at 00:14:36.309 --> 00:14:39.549 high theology. It bleeds directly into our everyday 00:14:39.549 --> 00:14:42.470 language and superstitions. Sometimes it's purely 00:14:42.470 --> 00:14:44.789 linguistic. For example, in Chinese culture, 00:14:44.909 --> 00:14:47.269 the number three is considered highly auspicious. 00:14:47.610 --> 00:14:49.950 Is that tied to the geometry or is it a language 00:14:49.950 --> 00:14:53.259 quirk? It's linguistic. In Mandarin, the pronunciation 00:14:53.259 --> 00:14:55.980 of the number three san sounds very similar to 00:14:55.980 --> 00:14:58.580 the word for alive or life -shing. Oh, that makes 00:14:58.580 --> 00:15:01.100 sense. Yeah. And this positive association is 00:15:01.100 --> 00:15:03.399 reinforced by its stark contrast to the number 00:15:03.399 --> 00:15:06.240 four c, which sounds almost identical to the 00:15:06.240 --> 00:15:08.700 word for death, san. So what does this all mean? 00:15:08.940 --> 00:15:11.440 We have ancient gods, Chinese lucky numbers, 00:15:11.580 --> 00:15:13.399 and of course the classic Western idiom, third 00:15:13.399 --> 00:15:15.960 time's the charm. But then paradoxically, you 00:15:15.960 --> 00:15:17.960 also have superstitions that insist bad luck 00:15:17.960 --> 00:15:20.639 comes in threes. It is a bit of a paradox, isn't 00:15:20.639 --> 00:15:23.100 it? It almost feels like the ultimate narrative 00:15:23.100 --> 00:15:25.559 structure. Think about how we inherently tell 00:15:25.559 --> 00:15:29.120 stories. We demand a setup, a conflict, and a 00:15:29.120 --> 00:15:31.840 resolution. A beginning, a middle, and an end. 00:15:32.460 --> 00:15:35.659 Three represents a complete cycle. We just inherently 00:15:35.659 --> 00:15:38.379 feel that after three beats, the tension has 00:15:38.379 --> 00:15:41.019 to break. If we connect this to the bigger picture, 00:15:41.240 --> 00:15:43.399 it comes down to the human craving for patterns. 00:15:44.000 --> 00:15:47.240 The world is inherently chaotic, dangerous, and 00:15:47.240 --> 00:15:50.000 unpredictable. Finding a pattern gives us an 00:15:50.000 --> 00:15:52.779 illusion of control. It makes us feel safe. Exactly. 00:15:53.240 --> 00:15:55.220 We subconsciously took the structural stability 00:15:55.220 --> 00:15:57.629 of the physical triangle that perfect distribution 00:15:57.629 --> 00:16:00.309 of force, and we applied it to our spiritual 00:16:00.309 --> 00:16:03.269 and psychological worlds. We use the triad to 00:16:03.269 --> 00:16:05.889 make sense of life, death, failure, and luck 00:16:05.889 --> 00:16:08.169 because we desperately want our life experiences 00:16:08.169 --> 00:16:10.950 to be as stable and predictable as a triangle. 00:16:11.190 --> 00:16:13.950 We want that structural need for a setup, a conflict, 00:16:14.009 --> 00:16:16.169 and a resolution in our lives. And there is no 00:16:16.169 --> 00:16:18.049 starker example of that narrative pattern than 00:16:18.049 --> 00:16:20.269 the visceral superstition that emerged from the 00:16:20.269 --> 00:16:22.429 World War I trenches, the myth of three on a 00:16:22.429 --> 00:16:25.179 match. I saw that in the sources. The superstition 00:16:25.179 --> 00:16:27.559 dictates that it is incredibly unlucky for three 00:16:27.559 --> 00:16:29.799 people to light their cigarettes from the exact 00:16:29.799 --> 00:16:32.700 same match. Yes. And the logic born in those 00:16:32.700 --> 00:16:35.419 trenches was brutally practical. If you are standing 00:16:35.419 --> 00:16:38.019 in a dark trench and you strike a match, an enemy 00:16:38.019 --> 00:16:41.320 sniper across no man's land sees that first flare 00:16:41.320 --> 00:16:45.100 of light and becomes alert. Set up. Wow. As the 00:16:45.100 --> 00:16:47.639 match is passed to the second soldier, the sniper 00:16:47.639 --> 00:16:50.419 uses that sustained illumination to take aim. 00:16:51.279 --> 00:16:53.950 Conflict. And as the match moves to the third 00:16:53.950 --> 00:16:58.330 soldier, the sniper fires. Resolution. The tragic 00:16:58.330 --> 00:17:00.909 application of the pattern. A literal life or 00:17:00.909 --> 00:17:03.389 death sequence. Whether that myth was statistically 00:17:03.389 --> 00:17:06.069 true in combat or just a psychological coping 00:17:06.069 --> 00:17:08.069 mechanism to maintain discipline in the constant 00:17:08.069 --> 00:17:10.289 peril of trench warfare, the number three became 00:17:10.289 --> 00:17:12.430 the physical boundary between safety and death. 00:17:12.529 --> 00:17:15.309 A hard limit. Just as early humans in the Amazon 00:17:15.309 --> 00:17:17.309 saw three as the boundary of exact counting, 00:17:17.869 --> 00:17:20.390 those soldiers saw three as the boundary of survival. 00:17:20.700 --> 00:17:24.140 That is incredibly heavy, but it perfectly encapsulates 00:17:24.140 --> 00:17:27.299 how deeply this single concept rules our lives. 00:17:28.359 --> 00:17:30.119 Okay, let's take a breath and recap this journey 00:17:30.119 --> 00:17:33.480 for you, the listener. We started with the cursive 00:17:33.480 --> 00:17:36.460 strokes of ancient empires, watching trade routes 00:17:36.460 --> 00:17:39.140 and fraud prevention mutate the very ink we used 00:17:39.140 --> 00:17:41.859 to write. It's been quite the journey. We explored 00:17:41.859 --> 00:17:44.980 the biological limits of human cognition, realizing 00:17:44.980 --> 00:17:48.150 our brains naturally tap out at three. We broke 00:17:48.150 --> 00:17:50.549 down the isolated algebraic mathematics of the 00:17:50.549 --> 00:17:53.250 primes and the unbreakable geometry of the physical 00:17:53.250 --> 00:17:56.470 triangle. And we ended with humanity's desperate 00:17:56.470 --> 00:17:59.309 need to find patterns in the chaos, from triple 00:17:59.309 --> 00:18:02.029 deities all the way to the mud of the First World 00:18:02.029 --> 00:18:05.789 War. It is a profound testament to the interconnectedness 00:18:05.789 --> 00:18:08.440 of human knowledge. I would challenge you listening 00:18:08.440 --> 00:18:10.420 to this right now to take a moment and just look 00:18:10.420 --> 00:18:12.980 around your room. Look at the architectural structures, 00:18:13.160 --> 00:18:15.480 the physical design of your furniture, the way 00:18:15.480 --> 00:18:17.960 items are aesthetically grouped on a shelf, or 00:18:17.960 --> 00:18:20.059 even the narrative beats of the podcast or song 00:18:20.059 --> 00:18:22.480 you might listen to next. It's everywhere. It 00:18:22.480 --> 00:18:24.579 is. Pay attention to how many things in your 00:18:24.579 --> 00:18:26.680 immediate environment are secretly reliant on 00:18:26.680 --> 00:18:29.539 the geometry, the mathematics, or the psychological 00:18:29.539 --> 00:18:32.589 categorization of three. It is everywhere once 00:18:32.589 --> 00:18:35.210 you open your eyes to the pattern. It truly is 00:18:35.210 --> 00:18:37.990 a structural law of reality. But before we go, 00:18:38.289 --> 00:18:40.190 I want to leave you with one final thought from 00:18:40.190 --> 00:18:42.609 the source material to ponder long after this 00:18:42.609 --> 00:18:45.569 deep dive ends. During the 19th and early 20th 00:18:45.569 --> 00:18:48.210 centuries, there were two authors, Augustus Le 00:18:48.210 --> 00:18:52.109 Plongeon and James Churchward. Ah, yes. They 00:18:52.109 --> 00:18:55.230 proposed the existence of a mystical lost continent 00:18:55.230 --> 00:18:58.099 called Mu. Think of it like a Pacific Atlantis. 00:18:58.359 --> 00:19:00.839 They wrote exhaustive volumes about this vanished, 00:19:01.259 --> 00:19:03.200 highly advanced civilization. And what do they 00:19:03.200 --> 00:19:05.440 claim was the ultimate symbolic representation 00:19:05.440 --> 00:19:07.680 of this entire lost world? The number three. 00:19:07.779 --> 00:19:09.579 The simple, perfectly balanced number three. 00:19:09.690 --> 00:19:12.529 We are so reliant on the stability of this number 00:19:12.529 --> 00:19:15.069 that we used it to summarize the glory of an 00:19:15.069 --> 00:19:17.589 entire mythical world. Just imagine all of human 00:19:17.589 --> 00:19:20.029 imagination and pattern -seeking, summed up by 00:19:20.029 --> 00:19:22.470 the exact same digit that stops a forger from 00:19:22.470 --> 00:19:24.589 altering a barcode, supports the weight of a 00:19:24.589 --> 00:19:26.829 steel bridge, and dictates when you blow out 00:19:26.829 --> 00:19:29.529 a matchstick in the dark. A single digit carrying 00:19:29.529 --> 00:19:32.089 the weight of both the physical world and our 00:19:32.089 --> 00:19:34.210 collective imagination. Keep an eye out for those 00:19:34.210 --> 00:19:37.089 triangles, everyone. Catch you on the next Deep 00:19:37.089 --> 00:19:37.470 Dive.