WEBVTT 00:00:01.360 --> 00:00:04.500 Hi, this week we've been exploring new dimensions 00:00:04.500 --> 00:00:07.299 and one of the biggest changes in our world today 00:00:07.299 --> 00:00:11.699 is artificial intelligence. Now one idea I find 00:00:11.699 --> 00:00:14.900 most fascinating about AI is that relationships 00:00:14.900 --> 00:00:18.820 themselves can become geometric. Now that may 00:00:18.820 --> 00:00:22.679 sound odd at first, but it's actually a beautiful 00:00:22.679 --> 00:00:27.100 mathematical idea. Our intuition is usually that 00:00:27.100 --> 00:00:29.859 language comes from a dictionary. where we have 00:00:29.859 --> 00:00:34.240 definitions, rules, and grammar. But when AI 00:00:34.240 --> 00:00:36.979 works with language, it does not simply store 00:00:36.979 --> 00:00:41.340 words like dictionary entries. Instead, words 00:00:41.340 --> 00:00:44.520 and ideas are placed into enormous mathematical 00:00:44.520 --> 00:00:49.020 spaces with many dimensions. And in those spaces, 00:00:49.280 --> 00:00:53.259 similar ideas are positioned near each other. 00:00:53.619 --> 00:00:57.640 Different ideas are further apart. For example, 00:00:57.740 --> 00:01:03.020 the words king, queen, man, and woman all develop 00:01:03.020 --> 00:01:06.140 relationships to one another inside this geometric 00:01:06.140 --> 00:01:12.459 landscape. A famous example in AI is king minus 00:01:12.459 --> 00:01:19.879 man plus woman approximately equals queen. And 00:01:19.879 --> 00:01:23.120 I find this pretty interesting. Meaning itself 00:01:23.120 --> 00:01:28.030 becomes shape. Relationships become geometry. 00:01:29.230 --> 00:01:32.909 And AI was not explicitly programmed with all 00:01:32.909 --> 00:01:35.890 of these connections. Many of the patterns emerge 00:01:35.890 --> 00:01:38.569 naturally as the system learns relationships 00:01:38.569 --> 00:01:43.209 from enormous amounts of information. The more 00:01:43.209 --> 00:01:46.310 dimensions available, the richer the understanding 00:01:46.310 --> 00:01:49.810 becomes. In a simple two -dimensional world, 00:01:49.969 --> 00:01:52.810 relationships can overlap and become difficult 00:01:52.810 --> 00:01:56.769 to organize. But in higher dimensions, patterns 00:01:56.769 --> 00:02:00.930 separate more naturally. Suddenly, AI can recognize 00:02:00.930 --> 00:02:06.489 faces and voices, writing styles, even emotions 00:02:06.489 --> 00:02:09.810 and language, and connections between ideas. 00:02:11.110 --> 00:02:13.689 I think this is another example of what Eddie 00:02:13.689 --> 00:02:17.009 Wu means when he says mathematics gives us a 00:02:17.009 --> 00:02:21.169 new sense for seeing reality. Math allows us 00:02:21.169 --> 00:02:24.310 to see relationships that were previously invisible. 00:02:25.409 --> 00:02:29.550 Not just isolated facts or definitions, but connections 00:02:29.550 --> 00:02:33.969 between things. And what I have found is the 00:02:33.969 --> 00:02:38.169 deeper I explore mathematics, the more alive 00:02:38.169 --> 00:02:42.930 it feels. Algebra connects to geometry. Geometry 00:02:42.930 --> 00:02:45.770 connects to motion. Motion connects to waves. 00:02:46.110 --> 00:02:49.960 Waves connect to sound and light. Patterns connect 00:02:49.960 --> 00:02:52.819 across completely different areas of reality. 00:02:53.599 --> 00:02:57.539 Now, the big idea in all this is the branches 00:02:57.539 --> 00:03:01.580 keep connecting back to the same living tree. 00:03:02.639 --> 00:03:06.539 And in many ways, AI itself is connecting mathematics 00:03:06.539 --> 00:03:10.879 back to ordinary human life. When we use AI, 00:03:11.180 --> 00:03:14.240 we are not merely performing a search. We're 00:03:14.240 --> 00:03:17.120 bringing our questions. We bring our struggles. 00:03:17.840 --> 00:03:21.400 our ideas, and our relationships into conversation. 00:03:22.860 --> 00:03:28.379 AI intersects mathematics, language, and human 00:03:28.379 --> 00:03:35.319 experience. But as fascinating as AI is, we are 00:03:35.319 --> 00:03:39.719 not machines. We have something deeper, a soul. 00:03:40.400 --> 00:03:43.419 For starters, the human soul has the ability 00:03:43.419 --> 00:03:47.469 to transform knowledge into wisdom. Wisdom is 00:03:47.469 --> 00:03:50.650 not simply collecting more information. It is 00:03:50.650 --> 00:03:53.610 developing a new sense for how things connect. 00:03:54.530 --> 00:03:59.729 A difficult experience deepens compassion. Failure 00:03:59.729 --> 00:04:03.669 produces humility. Suffering changes how we understand 00:04:03.669 --> 00:04:08.650 others. Over time, disconnected moments begin 00:04:08.650 --> 00:04:11.669 forming a larger pattern. We begin realizing 00:04:11.669 --> 00:04:14.689 life is not merely a collection of isolated events. 00:04:15.659 --> 00:04:21.259 It is a connected story. Now, AI improves through 00:04:21.259 --> 00:04:25.959 new versions and updates. But we humans, we have 00:04:25.959 --> 00:04:29.360 the opportunity to be transformed at the soul 00:04:29.360 --> 00:04:34.240 level. And perhaps transformation begins when 00:04:34.240 --> 00:04:38.339 we stop seeing life as scattered pieces and begin 00:04:38.339 --> 00:04:41.879 seeing the hidden geometry that is holding everything 00:04:41.879 --> 00:04:42.399 together.