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Thanks for your reply Kevin. just to share what I was thinking while out walking this morning. I doubt very much we'd see much come out of ML in the capacity
by nonrandomstring 3y ago
Thanks for your reply Kevin.
just to share what I was thinking while out walking this morning.
I doubt very much we'd see much come out of ML in the capacity of
exhaustive search or pattern seeking vis a vis "large models", because
maths is to language as intergalactic space is to a teacup.
Doesn't feel like there's a generative potential for stumbling upon
"proofy-like" things the way it works with natural language.
But I imagine AI in a few years being able to train on a great corpus
of known proofs. We show it how to do constructive, deconstructive,
contradiction, induction, equivalence...
And hopefully what it gives us is a meta insight into the nature of
proofs themselves, perhaps by finding new techniques, or revealing
refutations... that sort of thing.
Those would be tools useful to mathematicians, but I think the BIG
finds will still be by made humans who think for 10,000 hours about a
problem.