The best way to understand that GPT has no true sense of anything is asking it something absurd from a fringe but well defined subject (i.e. high-level maths).
Prompt examples (as homework), one after another.
> Please explain why a gaussian topos is not differentiable.
> Please explain why a gaussian topos is c-infinity.
> Please explain why an eulerian topos is not euclidean.
All three prompts are nonsensical but it always tries to make sense of them instead of just plainly saying I do kot know, or “totally unrelated”.
Prompt examples (as homework), one after another.
> Please explain why a gaussian topos is not differentiable.
> Please explain why a gaussian topos is c-infinity.
> Please explain why an eulerian topos is not euclidean.
All three prompts are nonsensical but it always tries to make sense of them instead of just plainly saying I do kot know, or “totally unrelated”.