Comment by pfdietz

3 hours ago

Lean terms and programs have defined meanings, just like anything mathematical does.

It sounds like you're asking something nebulous, like does it have a soul.

Mass generation of conjectures and proofs/disproofs could AI to discover objectively mathematically useful things. For example, it might discover shortcuts, lemmas, even abstractions that are useful in the proofs of these things -- and judge that utility by how much they improve the ability of the AI to prove things in this mass of problems. It wouldn't say whether the things are useful for non-mathematical human problems, but then human mathematicians, as you say, can't really judge that either.