I'm no expert, so take what I'm about to say with a grain of salt.
Fundamentally, a LLM is just a fancy autocomplete; there's no source of knowledge it's tapping into, it's just guessing words (though it is quite good at it). Correspondingly, even if it did have a pool of knowledge, even that can't be perfect, because the truth is never quite so black and white in many areas.
I'm no expert, so take what I'm about to say with a grain of salt.
Fundamentally, a LLM is just a fancy autocomplete; there's no source of knowledge it's tapping into, it's just guessing words (though it is quite good at it). Correspondingly, even if it did have a pool of knowledge, even that can't be perfect, because the truth is never quite so black and white in many areas.
In other words, hard.