[monadINtop]

People don't uncover new mathematics with formal rules and symbols pushing, at least not for the most part. They do so first with intuition and vague belief. Formalisation and rigour is the final stage of constructing a proof or argument.

[glial]

Perhaps, but then what's the point of symbolic systems at all?

[vatsadev]

Yeah, the AI in question can turn intuition into statements, then turn that to symbolic intuition, then work with that until something breaks it, then revise the system, etc, quite like a human?