"Claim: GPT-5-pro can prove new interesting mathematics"
s/prove/produce/g
I'm inclined to regard an LLM as modelling a collection of fuzzy production rules which occur in a hierarchical collection of semi-formal systems; an LLM attempts to produce typographically correct theorems, the proving occurs at the level of semantics. Meaning requires a mind to erect an isomorphic mapping which the LLM is not capable of.
In other words, for the LLM the math is just symbols on a page that are arranged according to the typographic rules which it has an imperfect model of. On this view, nothing about what is happening with Gen AI is particularly surprising or novel.
s/prove/produce/g
I'm inclined to regard an LLM as modelling a collection of fuzzy production rules which occur in a hierarchical collection of semi-formal systems; an LLM attempts to produce typographically correct theorems, the proving occurs at the level of semantics. Meaning requires a mind to erect an isomorphic mapping which the LLM is not capable of. In other words, for the LLM the math is just symbols on a page that are arranged according to the typographic rules which it has an imperfect model of. On this view, nothing about what is happening with Gen AI is particularly surprising or novel.