WEBVTT 00:00:00.000 --> 00:00:02.799 Have you ever thought about how, like, the exact 00:00:02.799 --> 00:00:05.599 same word can mean so many wildly different things? 00:00:05.599 --> 00:00:08.439 Oh, all the time? Right. Because, I mean, think 00:00:08.439 --> 00:00:11.160 about a small piece of metal just rattling in 00:00:11.160 --> 00:00:13.720 your pocket. Sure, yeah. And then think about, 00:00:13.720 --> 00:00:17.300 like, a culturally accepted 15 -minute grace 00:00:17.300 --> 00:00:20.179 period for being late to class in Europe. Right, 00:00:20.300 --> 00:00:23.359 which is highly specific. It is. And then, and 00:00:23.359 --> 00:00:26.000 this is the crazy part, think about literally 00:00:26.000 --> 00:00:29.219 the most brutal method of medieval execution 00:00:29.219 --> 00:00:32.420 imaginable. Oh yeah, the really dark stuff. Exactly. 00:00:33.060 --> 00:00:36.979 Today we are taking a single word, just one word, 00:00:37.500 --> 00:00:40.039 and unpacking the staggering amount of human 00:00:40.039 --> 00:00:42.299 history that is somehow hiding inside of it. 00:00:42.859 --> 00:00:45.619 You know, we are looking at a Wikipedia disambiguation 00:00:45.619 --> 00:00:47.560 page today. Usually isn't the most thrilling 00:00:47.560 --> 00:00:49.399 thing. No, I mean, it's the page for the word 00:00:49.399 --> 00:00:51.539 quarter. And while that sounds like an incredibly 00:00:51.539 --> 00:00:55.579 dry list of dictionary definitions, it actually 00:00:55.579 --> 00:00:58.079 reveals something profound. Yeah, it really does. 00:00:58.280 --> 00:01:01.020 It shows how a single foundational mathematical 00:01:01.020 --> 00:01:03.579 concept essentially like fractalizes. It shapes 00:01:03.579 --> 00:01:06.420 almost every aspect of human society. OK, let's 00:01:06.420 --> 00:01:08.500 unpack this, because what looks like a sterile 00:01:08.500 --> 00:01:13.239 list of links on Wikipedia is actually It's like 00:01:13.239 --> 00:01:16.140 a secret map. Yeah, a map of how we think. Right. 00:01:16.799 --> 00:01:19.859 Our mission on this deep dive is to trace the 00:01:19.859 --> 00:01:22.459 geometry of human thought. Right. We're starting 00:01:22.459 --> 00:01:25.859 with the simple fraction of one -fourth, 25%, 00:01:25.859 --> 00:01:28.980 you know, 0 .25. The basics. Exactly. And we're 00:01:28.980 --> 00:01:31.180 seeing how it governs literally everything, from 00:01:31.180 --> 00:01:34.079 how we build our cities to, well, how we wage 00:01:34.079 --> 00:01:36.739 our wars. It's everything. Honestly, I guarantee 00:01:36.739 --> 00:01:38.819 you, the person listening to this right now, 00:01:39.280 --> 00:01:42.060 you have probably interacted with a quarter, 00:01:42.079 --> 00:01:44.299 five times today without even noticing it. Oh, 00:01:44.340 --> 00:01:46.280 absolutely. And what's fascinating here is that 00:01:46.280 --> 00:01:49.140 human beings are absolutely obsessed with categorization. 00:01:49.299 --> 00:01:50.959 Well, for sure. We need to put things in boxes. 00:01:51.180 --> 00:01:54.500 Exactly. Because the universe is inherently chaotic. 00:01:54.719 --> 00:01:56.959 I mean, the wilderness is vast and unstructured. 00:01:57.359 --> 00:01:59.780 So dividing things by four is a foundational 00:01:59.780 --> 00:02:02.480 psychological coping mechanism. Coping mechanism. 00:02:02.480 --> 00:02:05.359 I love that. Yeah. It's how we use math to organize 00:02:05.359 --> 00:02:08.340 that chaos. We take a blank slate and we just 00:02:08.340 --> 00:02:10.520 stamp across right in the middle of it. Boom. 00:02:10.729 --> 00:02:15.229 Two lines. Two lines. Four distinct boxes. It 00:02:15.229 --> 00:02:18.110 is arguably the most primal act of organization 00:02:18.110 --> 00:02:21.009 we have. And we really have stamped that cross 00:02:21.009 --> 00:02:22.909 everywhere. I mean, when you think about how 00:02:22.909 --> 00:02:25.789 this concept evolved, you kind of have to start 00:02:25.789 --> 00:02:27.949 with the physical dirt we stand on. They do, 00:02:28.150 --> 00:02:31.550 yeah. The physical space. Because before a quarter, 00:02:31.900 --> 00:02:34.639 is an abstract concept of time or, you know, 00:02:34.759 --> 00:02:37.919 a denomination of currency. It is a literal physical 00:02:37.919 --> 00:02:40.400 slice of the world. Precisely. It's the urban 00:02:40.400 --> 00:02:42.340 subdivision. You see this globally. Right, like 00:02:42.340 --> 00:02:44.180 we were just looking at all these examples. Yeah, 00:02:44.379 --> 00:02:46.580 historically, when human settlements grew large 00:02:46.580 --> 00:02:49.460 enough to require management, the immediate solution 00:02:49.460 --> 00:02:52.439 was geometric. We divided towns into four sections. 00:02:52.520 --> 00:02:55.490 Four sections. Right, you have, um... the Italian 00:02:55.490 --> 00:02:57.969 courtier or the French courtier. Right, right. 00:02:58.349 --> 00:03:00.750 And looking at the specific place names we were 00:03:00.750 --> 00:03:03.849 diving into, there's something incredibly, almost 00:03:03.849 --> 00:03:07.650 embarrassingly literal about how early humans 00:03:07.650 --> 00:03:09.909 named these places. Oh, they were very literal. 00:03:09.990 --> 00:03:12.129 Like there's a settlement in South Lanarkshire, 00:03:12.169 --> 00:03:14.460 Scotland. Uh huh. and it's just called Quarter. 00:03:14.639 --> 00:03:17.060 Just Quarter. And France has a settlement just 00:03:17.060 --> 00:03:19.340 called Le Quartier, and Guile in the Caribbean 00:03:19.340 --> 00:03:22.280 has a place called the Quarter, Haiti has Quartier 00:03:22.280 --> 00:03:24.939 Sud. It's literally everywhere. I have to say, 00:03:25.020 --> 00:03:27.180 it feels like we just threw an organizational 00:03:27.180 --> 00:03:31.039 grid over the wilderness, pointed to one square 00:03:31.039 --> 00:03:34.520 on that grid, and declared, I guess I shall call 00:03:34.520 --> 00:03:39.300 this town the Square. Right, exactly. It's like 00:03:39.300 --> 00:03:41.340 slicing a pizza into four pieces and then just 00:03:41.340 --> 00:03:44.099 naming one piece. Right. Why are we so unoriginal 00:03:44.099 --> 00:03:46.180 that we just named the place after the math equation 00:03:46.180 --> 00:03:48.719 we used to divide it? Well, I mean, it does sound 00:03:48.719 --> 00:03:50.639 deeply unoriginal when you put it like that. 00:03:50.639 --> 00:03:52.520 Right. But you have to look at the psychology 00:03:52.520 --> 00:03:56.259 and the sheer utility of early human settlement. 00:03:56.659 --> 00:03:59.080 OK, what do you mean? Well, when a town grows 00:03:59.080 --> 00:04:02.439 beyond a single, easily navigable village, people 00:04:02.439 --> 00:04:06.099 don't immediately sit down and invent poetic 00:04:06.099 --> 00:04:08.340 new mythologies for their neighborhoods. They're 00:04:08.340 --> 00:04:10.719 too busy surviving, I guess. Exactly. They need 00:04:10.719 --> 00:04:13.770 a functional compass rose. Many ancient Roman 00:04:13.770 --> 00:04:16.529 military camps, the castra, were literally divided 00:04:16.529 --> 00:04:19.129 into four quadrants by two intersecting main 00:04:19.129 --> 00:04:21.389 roads. Wow, so the Romans were doing this too. 00:04:21.730 --> 00:04:24.829 Oh, big time. This military grid system became 00:04:24.829 --> 00:04:27.370 the foundation for countless European cities. 00:04:27.370 --> 00:04:30.389 I see. So saying, I live in the quarter, wasn't 00:04:30.389 --> 00:04:32.930 a lack of imagination, it was civic utility. 00:04:33.550 --> 00:04:36.050 It establishes a direct relationship to the center 00:04:36.050 --> 00:04:38.629 of the town. Oh, I get it. So you are implying 00:04:38.629 --> 00:04:42.569 a larger whole. that you are a part of while 00:04:42.569 --> 00:04:46.069 proudly claiming your specific, you know, manageable 00:04:46.069 --> 00:04:48.230 domain. Precisely. It connects you to the whole. 00:04:48.329 --> 00:04:51.029 So it's functional geometry translated into civic 00:04:51.029 --> 00:04:53.589 identity. You're basically giving the chaos an 00:04:53.589 --> 00:04:55.310 address. That's a great way to put it. And we 00:04:55.310 --> 00:04:57.149 don't just do it to the land. We do it to the 00:04:57.149 --> 00:05:00.370 things we wear, too. Oh, yeah. The shoes. Yes. 00:05:00.910 --> 00:05:03.110 There is an incredibly obscure fact here from 00:05:03.110 --> 00:05:06.029 the source material that even the back and rearward 00:05:06.029 --> 00:05:09.120 sides of your shoe are called quarters. I had 00:05:09.120 --> 00:05:10.639 no idea about that before we looked at this. 00:05:10.779 --> 00:05:13.360 Right. Not the front, not the sole, but the two 00:05:13.360 --> 00:05:15.259 back halves of the upper part of the shoe that 00:05:15.259 --> 00:05:16.939 wrap around your heel. They are literally called 00:05:16.939 --> 00:05:20.100 quarters. It's wild. We took this massive concept 00:05:20.100 --> 00:05:23.860 of urban planning and scaled it all the way down 00:05:23.860 --> 00:05:26.540 to partitioning our footwear. It just shows how 00:05:26.540 --> 00:05:29.160 pervasive the structural logic is. Yeah. And 00:05:29.160 --> 00:05:31.759 once you have physically partitioned your world, 00:05:31.920 --> 00:05:34.540 your land, your clothing, the tangible things 00:05:34.540 --> 00:05:38.040 you can actually touch, well, The next logical 00:05:38.040 --> 00:05:40.740 step in human evolution is to partition the abstract 00:05:40.740 --> 00:05:43.480 dimensions of your life. Wait, like what? Like 00:05:43.480 --> 00:05:46.519 time. When you divide physical land into quarters, 00:05:46.839 --> 00:05:49.360 you suddenly have borders. Borders require management, 00:05:49.680 --> 00:05:52.139 right? Sure. And managing land requires a strict 00:05:52.139 --> 00:05:55.060 schedule. Which means we have to divide the clock. 00:05:55.519 --> 00:05:58.879 Exactly. How we manage physical space directly 00:05:58.879 --> 00:06:02.120 forces us to invent a chronological grid. Right, 00:06:02.120 --> 00:06:04.740 because we chop up both the calendar year and 00:06:04.740 --> 00:06:07.199 the fiscal year into four divisions. We even 00:06:07.199 --> 00:06:09.959 have entire publications, you know, quarterly 00:06:09.959 --> 00:06:12.500 magazines, defined purely by the fact that they 00:06:12.500 --> 00:06:14.819 drop four times a year. And historically, this 00:06:14.819 --> 00:06:17.220 division of time was not just a mild convenience. 00:06:17.399 --> 00:06:19.980 It wasn't. No, it was the inescapable rhythm 00:06:19.980 --> 00:06:23.120 of survival and economics. I mean, look at the 00:06:23.120 --> 00:06:26.139 British and Irish tradition of Oh yeah, the quarter 00:06:26.139 --> 00:06:29.139 days. These weren't just arbitrary dates. They 00:06:29.139 --> 00:06:32.720 were four very specific markers aligned with 00:06:32.720 --> 00:06:34.980 religious festivals. Like which ones? So you 00:06:34.980 --> 00:06:38.779 had Lady Day in March, Midsummer in June, Michaelmas 00:06:38.779 --> 00:06:41.490 in September, and Christmas in December. Right. 00:06:41.490 --> 00:06:43.790 And these were the days when the literal rent 00:06:43.790 --> 00:06:46.490 was due. Exactly. Debts were settled, servants 00:06:46.490 --> 00:06:49.149 were hired or fired, and school terms began. 00:06:49.310 --> 00:06:51.069 Wow. Everything happened on those four days. 00:06:51.230 --> 00:06:53.689 Everything. If you were a tenant farmer, your 00:06:53.689 --> 00:06:56.110 entire existence revolved around yielding enough 00:06:56.110 --> 00:06:59.209 crop or capital to satisfy the landlord by the 00:06:59.209 --> 00:07:02.509 very next quarter day. Oh, man. Yeah. The abstract 00:07:02.509 --> 00:07:04.589 division of the year was a strict mechanism for 00:07:04.589 --> 00:07:07.029 enforcing societal obligation. It's stressful 00:07:07.029 --> 00:07:09.089 just thinking about it. You plant the seeds, 00:07:09.269 --> 00:07:11.660 you pray it rains. and you pay up on the quarter 00:07:11.660 --> 00:07:14.519 day. It was a tough life. But, shifting from 00:07:14.519 --> 00:07:17.860 that high -stakes agricultural deadline, my absolute 00:07:17.860 --> 00:07:20.199 favorite division of time we are looking at today 00:07:20.199 --> 00:07:22.800 is the academic quarter. Oh, this one is fascinating. 00:07:23.160 --> 00:07:25.240 It really is. There are two distinct meanings 00:07:25.240 --> 00:07:28.399 here. The first is exactly what you'd expect, 00:07:28.420 --> 00:07:30.519 you know, dividing the university academic year 00:07:30.519 --> 00:07:32.959 into terms lasting 8 to 12 weeks. Which is pretty 00:07:32.959 --> 00:07:36.139 standard. Right. But the second meaning... And 00:07:36.139 --> 00:07:38.860 here's where it gets really interesting. In various 00:07:38.860 --> 00:07:41.459 European countries, universities have a culturally 00:07:41.459 --> 00:07:44.519 beloved class timing tradition called the academic 00:07:44.519 --> 00:07:48.399 quarter. It's such a great concept. It is. It 00:07:48.399 --> 00:07:52.040 is a culturally accepted, built -in 15 -minute 00:07:52.040 --> 00:07:55.199 grace period between the official scheduled start 00:07:55.199 --> 00:07:57.980 time of a lecture, and the actual time the professor 00:07:57.980 --> 00:08:01.519 begins talking. It is a brilliant systemic accommodation 00:08:01.519 --> 00:08:04.459 for human friction. Human fiction, yeah. Because 00:08:04.459 --> 00:08:06.579 the university recognizes that you have to walk 00:08:06.579 --> 00:08:09.519 all the way across a sprawling campus, find a 00:08:09.519 --> 00:08:12.339 seat in a crowded tiered hall, and physically 00:08:12.339 --> 00:08:14.899 transition your brain from a lecture on medieval 00:08:14.899 --> 00:08:18.180 history to a seminar on advanced calculus. It 00:08:18.180 --> 00:08:20.319 takes time. Yeah. And honestly, to you listening 00:08:20.319 --> 00:08:22.819 right now, I strongly suggest you start aggressively 00:08:22.819 --> 00:08:25.560 enforcing a 15 -minute academic quarter for all 00:08:25.560 --> 00:08:27.579 your tedious workplace meetings. That might not 00:08:27.579 --> 00:08:30.060 go over well with the boss. I mean, next time 00:08:30.060 --> 00:08:31.980 you wander into a conference room late, just 00:08:31.980 --> 00:08:35.039 confidently sit down and say, oh, apologies for 00:08:35.039 --> 00:08:37.759 the delay. I was observing the European academic 00:08:37.759 --> 00:08:41.379 quarter. It is a foolproof excuse. I'm not sure 00:08:41.379 --> 00:08:43.539 HR would agree, but if we connect this to the 00:08:43.539 --> 00:08:46.299 bigger picture. OK, let's hear it. Look at the 00:08:46.299 --> 00:08:50.059 deep contrast in how we slice time. Slicing time, 00:08:50.379 --> 00:08:52.539 historically, with those British and Irish quarter 00:08:52.539 --> 00:08:55.299 days we talked about, that was a tool of strict 00:08:55.299 --> 00:08:57.679 punitive compliance. Right. Pay up or get out. 00:08:58.220 --> 00:09:00.639 Exactly. The rent was due. And if you didn't 00:09:00.639 --> 00:09:03.200 have it, there were severe consequences. But 00:09:03.200 --> 00:09:06.779 the modern European academic quarter, that 15 00:09:06.779 --> 00:09:09.879 -minute window, that is purely a quality of life 00:09:09.879 --> 00:09:13.190 adjustment. We are using the exact same mathematical 00:09:13.190 --> 00:09:15.470 fraction of an hour to build in breathing room 00:09:15.470 --> 00:09:18.490 to forgive human tardiness. Wow, yeah. The fraction 00:09:18.490 --> 00:09:20.529 itself remains totally rigid, still a quarter. 00:09:20.950 --> 00:09:24.149 But how we choose to apply it reveals our shifting 00:09:24.149 --> 00:09:26.549 cultural priorities over the centuries. That 00:09:26.549 --> 00:09:29.210 is such a fascinating transition. From a deadline 00:09:29.210 --> 00:09:31.570 that could get your family evicted to a grace 00:09:31.570 --> 00:09:33.389 period that lets you grab an espresso before 00:09:33.389 --> 00:09:36.129 chemistry class. A big leap. And of course, because 00:09:36.129 --> 00:09:39.490 time is quite literally money, this overarching 00:09:39.490 --> 00:09:43.309 concept of a quarter inevitably manifests into 00:09:43.309 --> 00:09:46.009 physical currency. Right. The rent collected 00:09:46.009 --> 00:09:48.350 on those quarter days naturally leads to the 00:09:48.350 --> 00:09:51.710 physical coin. Exactly. The coinage. We see quite 00:09:51.710 --> 00:09:53.909 a few variations globally with this. We really 00:09:53.909 --> 00:09:56.529 do. Like the Canadian quarter is valued at one 00:09:56.529 --> 00:09:59.389 fourth of a Canadian dollar. The United States 00:09:59.389 --> 00:10:02.429 quarter. Specifically, the ubiquitous Washington 00:10:02.429 --> 00:10:05.450 quarter serves the exact same function. And it's 00:10:05.450 --> 00:10:07.769 worth noting why we even have a 25 -cent piece 00:10:07.769 --> 00:10:10.389 in the U .S. Yeah, why is that? It's not a given, 00:10:10.629 --> 00:10:13.269 right? No, not at all. Many currencies use 20 00:10:13.269 --> 00:10:15.950 -cent pieces instead. But the early American 00:10:15.950 --> 00:10:18.769 economy relied heavily on the Spanish milled 00:10:18.769 --> 00:10:21.000 dollar. Oh, right, the Spanish dollar. Yeah, 00:10:21.179 --> 00:10:23.440 and that was often physically cut into eight 00:10:23.440 --> 00:10:26.179 pieces to make change. So two of those pieces 00:10:26.179 --> 00:10:28.580 of eight equaled one quarter of a dollar. Wait, 00:10:28.639 --> 00:10:30.899 they literally chopped the coins up. They literally 00:10:30.899 --> 00:10:33.659 cut the metal. We built our coinage around the 00:10:33.659 --> 00:10:35.879 physical fractioning of foreign silver. That 00:10:35.879 --> 00:10:39.019 is so cool. And then we also have these wild, 00:10:39.200 --> 00:10:42.360 archaic... examples from the source material, 00:10:42.559 --> 00:10:44.100 like the British Quarter Farthing and the Quarter 00:10:44.100 --> 00:10:46.240 Guinea. Right, so we established this highly 00:10:46.240 --> 00:10:49.700 dignified, standardized unit of economic value. 00:10:49.820 --> 00:10:52.580 Very dignified. It is minted by federal governments, 00:10:53.039 --> 00:10:55.519 stamped with the profiles of presidents or monarchs, 00:10:55.679 --> 00:10:58.440 and used to stabilize national economies. But 00:10:58.440 --> 00:11:00.659 then, it trickles down into everyday culture. 00:11:01.360 --> 00:11:04.289 And humans do what humans... invariably do with 00:11:04.289 --> 00:11:08.210 serious things. They turn it into a game. Specifically, 00:11:08.769 --> 00:11:11.570 a really violent schoolyard game called Quarters, 00:11:11.929 --> 00:11:13.710 which is also known by the highly descriptive 00:11:13.710 --> 00:11:17.870 name bloody nickels. A classic. Right. Kids slide 00:11:17.870 --> 00:11:20.990 this standardized economic unit across a cafeteria 00:11:20.990 --> 00:11:24.049 table at high speeds to physically smash each 00:11:24.049 --> 00:11:26.409 other's hands. That's brutal. It really is. And 00:11:26.409 --> 00:11:28.309 there's also the adult drinking game also just 00:11:28.309 --> 00:11:30.230 called quarters where you bounce the coin off 00:11:30.230 --> 00:11:32.830 a table into a glass. Right. A staple of college 00:11:32.830 --> 00:11:35.509 parties. Exactly. Yeah. But I have a theory about 00:11:35.509 --> 00:11:37.629 the schoolyard version. Let's hear it. I bet 00:11:37.629 --> 00:11:40.269 kids use a quarter specifically for bloody knuckles 00:11:40.269 --> 00:11:42.870 just because it's the heaviest, thickest coin 00:11:42.870 --> 00:11:44.850 in normal circulation. That makes sense. Yeah. 00:11:45.110 --> 00:11:47.250 It has the mass to inflict the maximum amount 00:11:47.250 --> 00:11:49.230 of physical pain when you flick it. It's not 00:11:49.230 --> 00:11:52.190 about the economic value. It's pure physics and 00:11:52.190 --> 00:11:54.870 sadism. Physics definitely plays a part. The 00:11:54.870 --> 00:11:58.389 mass is ideal for sliding, but it actually follows 00:11:58.389 --> 00:12:01.970 a much broader, deeply ingrained sociological 00:12:01.970 --> 00:12:04.529 pattern. Oh, really? What pattern? Whenever a 00:12:04.529 --> 00:12:07.929 society standardizes a small, ubiquitous, durable 00:12:07.929 --> 00:12:11.129 object, human ingenuity will inevitably turn 00:12:11.129 --> 00:12:13.809 it into a token of play. Oh, I see. Think about 00:12:13.809 --> 00:12:16.570 the properties of a quarter beyond just its weight. 00:12:16.950 --> 00:12:19.090 It is perfectly balanced. It's cheap enough that 00:12:19.090 --> 00:12:21.230 you don't panic if it rolls under a vending machine. 00:12:21.350 --> 00:12:23.490 True. You just sigh and walk away. Right. But 00:12:23.490 --> 00:12:26.769 it retains just enough intrinsic agreed upon 00:12:26.769 --> 00:12:29.669 value that you still keep track of it. It is 00:12:29.669 --> 00:12:32.210 the absolute ideal physical token. That makes 00:12:32.210 --> 00:12:34.129 total sense. And once an object becomes a token 00:12:34.129 --> 00:12:36.330 of play, it almost always clauses over into the 00:12:36.330 --> 00:12:39.309 realm of art. Oh, totally. The quarter is incredibly 00:12:39.309 --> 00:12:41.149 embedded in music. You have the quarter note. 00:12:41.210 --> 00:12:44.009 The foundation of music. Right. In musical theory, 00:12:44.529 --> 00:12:47.850 in a standard 4 -4 time signature, a quarter 00:12:47.850 --> 00:12:51.179 note represents one beat. It is the literal heartbeat 00:12:51.179 --> 00:12:54.600 of most modern Western music. Cop, rock, hip 00:12:54.600 --> 00:12:56.559 hop. Yeah, they are all riding on that division 00:12:56.559 --> 00:12:59.159 of four. And then you have specific pieces of 00:12:59.159 --> 00:13:02.000 media honoring the word itself. Like the song 00:13:02.000 --> 00:13:05.000 titles. Exactly. The band Wilco has a song titled 00:13:05.000 --> 00:13:06.940 Quarters. There's another song simply called 00:13:06.940 --> 00:13:09.759 Quarter. Right. And there's a 2015 album by the 00:13:09.759 --> 00:13:12.500 psychedelic rock group King Gizzard and the Lizard 00:13:12.500 --> 00:13:15.860 Wizard, literally titled... It's amazing how 00:13:15.860 --> 00:13:18.320 fluid the concept is. It really is. Notice the 00:13:18.320 --> 00:13:20.720 incredible progression we've just mapped. We 00:13:20.720 --> 00:13:23.720 move from a rigid geometric grid placed over 00:13:23.720 --> 00:13:27.379 a raw wilderness to establishing a harsh agricultural 00:13:27.379 --> 00:13:31.139 rent deadline, to minting a silver coin, to bashing 00:13:31.139 --> 00:13:33.340 knuckles on a desk, to laying down a rhythm in 00:13:33.340 --> 00:13:36.019 a psychedelic rock song. It is fluid, yes, but 00:13:36.019 --> 00:13:38.100 also, I mean, there is a much darker side to 00:13:38.100 --> 00:13:39.840 this. There is. Because dividing things into 00:13:39.840 --> 00:13:43.159 four takes a massive life or death, meaning when 00:13:43.159 --> 00:13:45.019 you Leave the music studio and enter the realms 00:13:45.019 --> 00:13:47.080 of the military, the nobility, and the justice 00:13:47.080 --> 00:13:49.340 system. This is where the language becomes highly 00:13:49.340 --> 00:13:52.200 formalized and deeply consequential. Yeah, let's 00:13:52.200 --> 00:13:54.539 look at the military terminology. You have the 00:13:54.539 --> 00:13:58.100 term barracks or quarters, the physical buildings 00:13:58.100 --> 00:14:00.940 built to house military personnel or laborers. 00:14:01.059 --> 00:14:03.879 Right, living quarters. That sounds safe. Cozy 00:14:03.879 --> 00:14:05.940 even. It's your designated spot on the grid. 00:14:06.220 --> 00:14:08.360 But then you have the phrase general quarters. 00:14:08.720 --> 00:14:11.779 Right. That is a naval status requiring all hands 00:14:11.779 --> 00:14:14.919 to immediately go to battle stations. It means 00:14:14.919 --> 00:14:17.840 the ship is in imminent danger. Everyone must 00:14:17.840 --> 00:14:20.659 abandon whatever they are doing and report to 00:14:20.659 --> 00:14:23.419 their specific assigned quadrant of the ship 00:14:23.419 --> 00:14:26.840 to prepare for combat. So the physical grid literally 00:14:26.840 --> 00:14:29.399 becomes a survival mechanism. Exactly. And we 00:14:29.399 --> 00:14:31.919 also see the fraction used to measure human worth 00:14:31.919 --> 00:14:36.120 and Right, the concept of quarters of nobility 00:14:36.120 --> 00:14:38.779 or quarterings. Yes. This is the mathematical 00:14:38.779 --> 00:14:41.480 calculation of how many generations noble status 00:14:41.480 --> 00:14:44.399 has been held by a family. That is so wild to 00:14:44.399 --> 00:14:46.799 me. It is visually represented in the complex 00:14:46.799 --> 00:14:49.539 artwork of their heraldry. When two noble families 00:14:49.539 --> 00:14:52.220 marry, their coats of arms are literally divided 00:14:52.220 --> 00:14:55.059 into quarters on a shield. To represent the merging 00:14:55.059 --> 00:14:57.440 lineages. Right. It is the act of mathematically 00:14:57.440 --> 00:15:00.929 dividing your lineage on a piece of armor. to 00:15:00.929 --> 00:15:04.929 legally and visually prove your societal superiority 00:15:04.929 --> 00:15:07.889 to everyone else. That is such a flex. And then 00:15:07.889 --> 00:15:10.710 there is the phrase, granting quarter. This is 00:15:10.710 --> 00:15:12.970 a big one. Yeah, this is defined as a promise 00:15:12.970 --> 00:15:16.429 or guarantee of mercy to a vanquished enemy on 00:15:16.429 --> 00:15:19.029 a battlefield. Which means its terrifying opposite, 00:15:19.470 --> 00:15:22.629 no quarter. Means absolute annihilation. No prisoners 00:15:22.629 --> 00:15:25.429 taken, no mercy given. Which naturally brings 00:15:25.429 --> 00:15:27.850 us to the most extreme application of the word. 00:15:28.470 --> 00:15:30.950 hanged, drawn, and quartered. The punishment 00:15:30.950 --> 00:15:34.029 for treason in historical England, which literally 00:15:34.029 --> 00:15:36.690 means violently dismembering a human body into 00:15:36.690 --> 00:15:39.549 four pieces. It's incredibly grim. So what does 00:15:39.549 --> 00:15:41.740 this all mean? Honestly, I'm trying to wrap my 00:15:41.740 --> 00:15:43.700 head around the linguistic divergence here. It 00:15:43.700 --> 00:15:46.059 is a lot to take in. How does the exact same 00:15:46.059 --> 00:15:48.700 word, the word that denotes 25 cents of a dollar 00:15:48.700 --> 00:15:51.799 or quaint settlement in Scotland, also mean a 00:15:51.799 --> 00:15:54.559 desperate plea for mercy on a blood -soaked battlefield? 00:15:54.720 --> 00:15:57.960 It's a huge contrast. And simultaneously, how 00:15:57.960 --> 00:16:01.559 does it also describe the systematic physical 00:16:01.559 --> 00:16:03.759 destruction of a human being in a town square? 00:16:03.929 --> 00:16:07.370 Well, it is a profound dichotomy. But if we trace 00:16:07.370 --> 00:16:10.049 the logic of the word all the way back to the 00:16:10.049 --> 00:16:12.649 beginning, it makes a grim sort of sense. OK, 00:16:12.789 --> 00:16:16.330 walk me through it. So quarter. begins as a designated 00:16:16.330 --> 00:16:18.889 physical space, like we talked about. Your designated 00:16:18.889 --> 00:16:21.509 space is your quarters. Right. That is your home 00:16:21.509 --> 00:16:24.889 base, your sanctuary from the chaos. Over time, 00:16:25.129 --> 00:16:27.850 to grant someone quarter means you are actively 00:16:27.850 --> 00:16:30.049 offering them safe harbor within your space. 00:16:30.090 --> 00:16:32.730 Oh, I see. You are choosing to spare their life 00:16:32.730 --> 00:16:34.850 by taking them into your protective grid. You 00:16:34.850 --> 00:16:38.029 are granting them mercy. OK, wow. So the physical 00:16:38.029 --> 00:16:40.799 concept of a safe harbor. slowly evolves into 00:16:40.799 --> 00:16:43.360 the abstract concept of mercy itself. Exactly. 00:16:43.659 --> 00:16:45.740 But on the flip side of that linguistic coin, 00:16:46.220 --> 00:16:48.820 a quarter is inherently an act of violent division. 00:16:49.019 --> 00:16:51.279 Right, the math of it. Yes. To make a quarter, 00:16:51.480 --> 00:16:53.799 you must take a whole cohesive thing and forcibly 00:16:53.799 --> 00:16:56.679 cut it. So to quarter someone in the penal sense, 00:16:56.899 --> 00:16:59.639 as in the punishment for treason, is the ultimate 00:16:59.639 --> 00:17:02.480 physical manifestation of that division. It is 00:17:02.480 --> 00:17:04.779 the systematic destruction of the human whole. 00:17:05.039 --> 00:17:07.500 That is incredibly dark, but it makes perfect 00:17:07.500 --> 00:17:10.220 sense. A single word carries the weight of both 00:17:10.220 --> 00:17:12.740 ultimate sanctuary and ultimate physical violence. 00:17:13.599 --> 00:17:15.940 It all depends entirely on whether you are giving 00:17:15.940 --> 00:17:18.099 someone a piece of the whole or tearing their 00:17:18.099 --> 00:17:20.099 whole into pieces. Giving someone a piece of 00:17:20.099 --> 00:17:22.359 the whole or tearing their whole into pieces. 00:17:22.819 --> 00:17:25.559 Man, that encapsulates the full spectrum of human 00:17:25.559 --> 00:17:27.720 organization. It really does. From our highest 00:17:27.720 --> 00:17:29.839 forms of musical art and academic forgiveness 00:17:29.839 --> 00:17:32.900 all the way to our lowest forms of medieval cruelty. 00:17:33.079 --> 00:17:35.660 Yes. Even the specific person we saw listed on 00:17:35.660 --> 00:17:37.759 the Wikipedia page, William Quarter, who lived 00:17:37.759 --> 00:17:40.619 from 1806 to 1848. He was an Irish -American 00:17:40.619 --> 00:17:43.000 Catholic bishop. But just having the last name 00:17:43.000 --> 00:17:45.680 Quarter carries a staggering amount of historical 00:17:45.680 --> 00:17:48.660 and linguistic baggage. It really drives home 00:17:48.660 --> 00:17:51.680 how the most mundane, seemingly invisible systems 00:17:51.680 --> 00:17:54.460 around us, like the words and fractions we take 00:17:54.460 --> 00:17:56.859 completely for granted, hold a deep mirror to 00:17:56.859 --> 00:17:59.900 human history. They really do. Let's take a breath 00:17:59.900 --> 00:18:01.980 and briefly distill the wild journey you just 00:18:01.980 --> 00:18:03.859 took with us. It's been quite a ride. It really 00:18:03.859 --> 00:18:07.019 has. We started with a simple, sterile mathematical 00:18:07.019 --> 00:18:11.319 fraction of 0 .25, and from there we traced how 00:18:11.319 --> 00:18:14.420 early humans threw grids over the wilderness 00:18:14.420 --> 00:18:17.319 to create Scottish towns and Caribbean settlements. 00:18:17.539 --> 00:18:20.529 The first steps of organization. Right. We looked 00:18:20.529 --> 00:18:22.630 at how those physical grids forced us to create 00:18:22.630 --> 00:18:25.410 chronological grids leading to agricultural rent 00:18:25.410 --> 00:18:28.269 deadlines and European University grace periods. 00:18:28.410 --> 00:18:31.470 From land to time. Exactly. We tracked how those 00:18:31.470 --> 00:18:34.049 deadlines minted the silver coins we used to 00:18:34.049 --> 00:18:36.250 play Bloody Knuckles on the playground, how that 00:18:36.250 --> 00:18:38.490 same math dictates the rhythm of our favorite 00:18:38.490 --> 00:18:42.190 rock songs, and finally how that geometry dictates 00:18:42.190 --> 00:18:44.869 naval battle stations and horrific historical 00:18:44.869 --> 00:18:47.089 treason punishment. And you will likely interact 00:18:47.089 --> 00:18:49.750 with quarters in one form or another every single 00:18:49.750 --> 00:18:51.970 day for the rest of your life. Honestly, yeah. 00:18:52.230 --> 00:18:54.690 Whether you are checking the time, spending change, 00:18:55.089 --> 00:18:57.619 or just listening to a song. And before we go, 00:18:57.700 --> 00:18:59.720 I want to leave you with one final provocative 00:18:59.720 --> 00:19:02.460 detail from the deep dive that we intentionally 00:19:02.460 --> 00:19:05.720 saved for last. Oh, this is a good one. Because 00:19:05.720 --> 00:19:09.059 long before humans divided our towns or minted 00:19:09.059 --> 00:19:12.680 our money or scheduled our time, the universe 00:19:12.680 --> 00:19:14.700 was already dividing things up for us. The lunar 00:19:14.700 --> 00:19:18.160 phase. Yes. The shape of the moon's sunlit portion, 00:19:18.400 --> 00:19:20.700 as viewed from Earth, is literally called the 00:19:20.700 --> 00:19:22.920 quarters. We have the first quarter moon and 00:19:22.920 --> 00:19:25.690 the last quarter moon. It's incredible. So tonight, 00:19:25.809 --> 00:19:28.269 if the sky is clear, look up. Take a look. Look 00:19:28.269 --> 00:19:31.410 at the moon. Look at that perfect fraction hanging 00:19:31.410 --> 00:19:35.130 in the dark. It is the exact same primal instinct 00:19:35.130 --> 00:19:37.769 of organization, the exact same cross stamped 00:19:37.769 --> 00:19:39.650 onto a blank slate that we talked about at the 00:19:39.650 --> 00:19:41.950 very beginning. The ultimate quarter. Only this 00:19:41.950 --> 00:19:44.009 one was written across the cosmos long before 00:19:44.009 --> 00:19:46.609 we even had a word for it. Thank you for joining 00:19:46.609 --> 00:19:47.670 us on this deep dive.