The Map of Mathematics [video]
I watched the video and it definitely does not paint an accurate picture of mathematics. Additionally, there's a heap of misinformation (e.g., "fractals are scale invariant", "group theory is about groups [of things]", "Gödel's incompleteness theorem leads to a mystery of why math is even useful", all of which is not true whatsoever).<p>The most beautiful part of math wasn't explained at all, which is <i>how the fields relate</i>! How do geometry and algebra come together? How about algebra and topology? How about prime number theory and complex numbers? Many of the most influential, important, deep, and illuminating theorems of mathematics are precisely those that make such bridges.<p>Instead, the video gave extremely high-level mathematical "buzzword soup" with artificial boundaries and an explanation that seems to be derived after the fact.<p>I'm all for educating the masses on the magnificent landscape of higher mathematics, but I think it's a disservice to do it non-factually.