I knew someone would call me out on that. I used the wrong word; what I meant was "expressed in a way that would satisfy" which implies proof within the symbolic order being used. I don't claim to be a mathematician or philosopher.
Well, you don't get it. The LLM definitely can state propositions "that satisfy", let's just call them true propositions, and that this is not the same as having a proof for it is what the incompleteness theorem says.
Why would you require an LLM to have proof for the things it says? I mean, that would be nice, and I am actually working on that, but it is not anything we would require of humans and/or HN commenters, would we?
Well, you don't get it. The LLM definitely can state propositions "that satisfy", let's just call them true propositions, and that this is not the same as having a proof for it is what the incompleteness theorem says.
Why would you require an LLM to have proof for the things it says? I mean, that would be nice, and I am actually working on that, but it is not anything we would require of humans and/or HN commenters, would we?