WEBVTT 00:00:00.000 --> 00:00:03.140 Hi, this week we've been exploring prime numbers. 00:00:03.339 --> 00:00:06.759 We started with something simple. Arranging rocks 00:00:06.759 --> 00:00:10.179 and noticing that some numbers do not fit into 00:00:10.179 --> 00:00:14.380 rectangles. A low floor. Then from there, we 00:00:14.380 --> 00:00:17.239 discovered these oddball numbers. The ones that 00:00:17.239 --> 00:00:20.859 do not fit. They become the building blocks of 00:00:20.859 --> 00:00:25.899 everything. Then we asked a very human question. 00:00:26.399 --> 00:00:30.980 How many are there? And we found they never end. 00:00:31.660 --> 00:00:34.960 From something simple to something infinite. 00:00:35.359 --> 00:00:39.479 And even then, the story did not stop. Because 00:00:39.479 --> 00:00:43.359 although primes are completely determined, they 00:00:43.359 --> 00:00:48.179 do not look that way. They feel irregular, unpredictable. 00:00:49.460 --> 00:00:53.340 We can estimate where they are, but we cannot 00:00:53.340 --> 00:00:58.030 fully see the pattern. Even today. After thousands 00:00:58.030 --> 00:01:01.270 of years of study, there is still more we do 00:01:01.270 --> 00:01:05.989 not understand. Yes, a high ceiling. But maybe 00:01:05.989 --> 00:01:09.030 this is the point. Maybe prime numbers are not 00:01:09.030 --> 00:01:12.730 just something in mathematics. Maybe they are 00:01:12.730 --> 00:01:17.950 a picture of what mathematics is. Something simple 00:01:17.950 --> 00:01:22.069 enough to begin, deep enough to explore for a 00:01:22.069 --> 00:01:28.680 lifetime, full of structure. and surprise. Like 00:01:28.680 --> 00:01:32.480 the Mona Lisa. At one level, it's just a painting. 00:01:32.980 --> 00:01:36.859 And yet, the more you look, the more you see. 00:01:38.739 --> 00:01:41.900 Mathematics can be like that. Not just a tool 00:01:41.900 --> 00:01:45.739 to get answers, but something to encounter, something 00:01:45.739 --> 00:01:49.640 to explore, something to wonder about. In a sense, 00:01:49.680 --> 00:01:54.099 mathematics is not in a hurry. It's more like 00:01:54.099 --> 00:01:59.459 a cathedral. Built over time by generations of 00:01:59.459 --> 00:02:04.540 amazing thinkers. Once an idea is grounded in 00:02:04.540 --> 00:02:09.340 truth, it becomes part of the structure. And 00:02:09.340 --> 00:02:14.300 from there, new ideas are built. And this week 00:02:14.300 --> 00:02:18.159 we've already seen one of those ideas. Infinity. 00:02:18.780 --> 00:02:21.599 When we discovered that prime numbers never end, 00:02:21.819 --> 00:02:25.250 we stepped into something. Without a boundary. 00:02:25.969 --> 00:02:28.849 But that's just the beginning. Because infinity 00:02:28.849 --> 00:02:31.810 is not just part of prime numbers. It is part 00:02:31.810 --> 00:02:35.590 of the structure of mathematics itself. Another 00:02:35.590 --> 00:02:40.610 vast room in this cathedral. And next week, we'll 00:02:40.610 --> 00:02:43.810 begin to explore it. So when you think about 00:02:43.810 --> 00:02:47.610 prime numbers, you're not thinking alone. You're 00:02:47.610 --> 00:02:51.810 stepping into a stream of thought that stretches 00:02:51.810 --> 00:02:55.909 across time. From ancient markings on a bone, 00:02:56.150 --> 00:03:00.229 to mathematicians like Euclid and Riemann, to 00:03:00.229 --> 00:03:05.270 anyone who has ever paused to wonder. To me, 00:03:05.270 --> 00:03:08.750 in a world that feels divided, this is something 00:03:08.750 --> 00:03:12.449 we share. The same questions, the same curiosity, 00:03:12.689 --> 00:03:18.069 the same sense of wonder. Yes, to me, there's 00:03:18.069 --> 00:03:23.020 something hopeful in that. So here's a few questions 00:03:23.020 --> 00:03:27.520 to wrap up our week. What is math to you? Is 00:03:27.520 --> 00:03:30.759 it just a set of problems to solve? Or is it 00:03:30.759 --> 00:03:34.280 an invitation? An invitation to notice patterns, 00:03:34.479 --> 00:03:37.599 to ask questions, to discover something real 00:03:37.599 --> 00:03:41.680 and beautiful that was there before you arrived. 00:03:42.939 --> 00:03:47.159 This week, we've only taken a few steps. But 00:03:47.159 --> 00:03:50.159 maybe that's enough to see that math is not just 00:03:50.159 --> 00:03:54.319 something we use, but something we can enter. 00:03:55.840 --> 00:03:59.000 What I saw this week is that truth is not just 00:03:59.000 --> 00:04:02.199 something we learn. It is something we can be 00:04:02.199 --> 00:04:05.860 drawn into, something beautiful, something worth 00:04:05.860 --> 00:04:10.539 exploring. So as you move forward, keep that 00:04:10.539 --> 00:04:15.080 invitation in mind to explore, to notice, to 00:04:15.080 --> 00:04:18.850 wonder. and to see just how far it can take you. 00:04:20.009 --> 00:04:21.649 This is Intersecting Us.