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#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Lex Fridman Podcast
Poincare's Theory of Chaos
Poincare was one of the pioneers of taking geometry, um, which until that point had been largely the study of two and three dimensional objects. He understood that even to understand stuff that's going on in our physical world, you have to study higher dimensional spaces. So it turns out that really to understand what's going on, you can't think of it as a point, or you could, but it's better not to think of it at all. That's a higher dimensional space called phase space.
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