Terence Tao: belief

Transcript context

…Do you think you’ll be a mathematician that develops a theory of everything? What often happens is that when the physicists need some theory of mathematics, there’s often some precursor that the mathematicians worked out earlier. So when Einstein started realizing that space was curved, he went to some mathematician and asked, “Is there some theory of curved space that mathematicians already came up with that could be useful?” And he said, “Oh yeah, I think Riemann came up with something.” And so yeah, Riemann had developed Riemannian geometry, which is precisely a theory of spaces that are curved in various general ways, which turned out to be almost exactly what was needed by Einstein’s theory. This is going back to weakness and unreasonable effectiveness of mathematics. I think the theories that work well, that explain the universe, tend to also involve the same mathematical objects that work well to solve mathematical problems. Ultimately, they’re just both ways of organizing data in useful ways. It just feels like you might need to go some weird land that’s very hard to intuit. You have string T=theory.…

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