I sometimes get vague ideas for solving maths/science problems. They never pan out but i can talk in detail on group theory and advanced maths and science topics due to investigating such vague ideas over the years. These days the LLM shoots the ideas down instantly and honestly correctly, i know enough to know "yeah that's right, oh well" and move on. Which actually takes away a huge avenue of learning. I'm pretty torn on the outcome of this honestly.
I'm not 'wasting time' but I'm also not really learning.
I felt this. I had a feeling for a long time that spider solitaire was somehow related to knot theory (legal moves being Reidemeister move equivalents and untangling). Llm shot this idea down very quickly! It was freeing actually.
Both of you are being overly dismissive of yourselves. Without either a proof or a program that proves the statement in question, I wouldn't trust the LLM. I wouldn't even trust if it produced citations, because I've already come across LLMs citing sources to back up statements without being able to find that information in the source (not saying it wasn't there, just that I was not able to find it).