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by integralid
77 days ago
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>This is literally the same thing as No. >You can Not right now, right? I don't think current AI automated proofs are smart enough to introduce nontrivial abstractions. Anyway I think you're missing the point of parent's posts. Math is not proofs. Back then some time ago four color theorem "proof" was very controversial, because it was a computer assisted exhaustive check of every possibility, impossible to verify by a human. It didn't bring any insight. In general, on some level, proofs like not that important for mathematicians. I mean, for example, Riemann hypothesis or P?=NP proofs would be groundbreaking not because anyone has doubts that P=NP, but because we expect the proofs will be enlightening and will use some novel technique |
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I'm not sure what your threshold for "trivial" is (e.g. would inventing groups from nothing be trivial? Would figuring out what various definitions in condensed mathematics "must be" to establish a correspondence with existing theory be trivial?), but I see LLMs come up with their own reasonable abstractions/interfaces just fine.