[goldenkey]

LLMs are able to do complex logic within the world of words. It is a a smaller matrix than our world but fueled by the same chaotic symmetries of our universe. I would not underestimate logic, even when not given adequate data.

[WJW]

You can make it sound as esoteric as you want, but in the end an AI will still be bound by the laws of physics. Being infinitely smart will not help with that.

I don't think you understand logic very well btw if you wish to suggest that you can reach valid conclusions from inadequate axioms.

[goldenkey]

Axioms are constraints as much as they might look like guidance. We live in a neuromorphic computer. Logic explores this, even with few axioms. With fewer axioms, it will be less constrained.