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).<p>Prompt examples (as homework), one after another.<p>> Please explain why a gaussian topos is not differentiable.<p>> Please explain why a gaussian topos is c-infinity.<p>> Please explain why an eulerian topos is not euclidean.<p>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”.