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▲ waynecochran a day ago

LEAN and other tools verify from what do know -- at least stepwise. Anything that deviates from these things should stick out. I suppose some million line LEAN program may have embedded within it something that is novel and not readily apparent, but I imagine truly novel approaches should stick out like a sore thumb.

Could AI create a novel set of axioms (a new math) from which things like RH become a by product? I think that would be hard to miss.

▲stephbook a day ago | parent [-]

Dozens of agents probably already invented it, but they were given ephemeral containers where noone ever looked or they only wrote it in direct CPU instructions.

▲waynecochran a day ago | parent [-]

I would really like to see an AI invent a new set of (consistent) axioms from which a whole slew of new problems and solutions arise. Something akin to Euclidean geometry, but for a whole new landscape of theorems.