I've been experimenting with both Claude and ChatGPT for a basic question in mathematical logic: Are two statements equivalent? I can share more details in the comments if needed. When I asked ChatGPT, it incorrectly said they weren't equivalent and provided a wrong counterexample. After pointing out the errors, it attempted to fix its answer three times but still got it wrong. On the other hand, Claude quickly gave me a correct counterexample right away. I'm curious about what factors might contribute to Claude's better performance in this area compared to ChatGPT.
3 Answers
From my experience, Claude does seem to have an edge in math-related tasks. It processes logical structures and counterexamples really well, which might be why it nailed your question.
It’s interesting that you mentioned how earlier prompts can affect performance, especially with GPT. It might get stuck in a pattern if the prompts lead it there, while Claude seems to reset more effectively.
I think the difference could also stem from how you framed the questions for both models. If Claude was fed a clearer prompt, it makes sense it would perform better.
True, prompts really do matter! I noticed that a poorly structured question can totally throw off the response from AI.
Yeah, I agree! I’ve noticed Claude tends to approach mathematical logic with more consistency. It’s like it has a better grasp on the nuances.