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mathisfun123 a day ago

Because SAS triangle identity proofs are relatable and I'm trying to make a point...?

gmadsen 19 hours ago | parent [-]

And my point is it’s a strawman. Advanced math is obviously creative to those who practice it, and it’s disingenuous to boil it down to grade school triangle proofs

That would be like saying Shakespeare isn’t creative , since grade school grammar doesn’t feel creative

ViscountPenguin 9 hours ago | parent [-]

I have at least some level of experience with advanced maths, but the thing that always struck me was how amenable to automation that a lot of it seemed. While it might be creative for a human to come up with the Schreier refinement theorem, for example, I don't think it fundamentally requires creativity.

On some level, I think the most straightforwardly creative work in maths comes from building up useful generalizations; I can't see current LLMs inventing even something as straight forward as a manifold from first principles; but I also don't think that's fundamentally required to prove useful things, I think it's more of a shortcut for humans.