Hi all,
Beyond this appealing title, I wanted to share real concerns. For context, I'm a master student in probability theory and doing a research internship.
For many projects and even for writing my internship report, I have been using chatgpt. First it was to go faster with latex, then it was to go faster with introduction, writing definitions etc. But quickly I used it for proofs. Of course I kept proofreading, and often I noticed mistakes. But as this kept going on, I started to rely more and more on LLM without realising the impact.
Now I am wondering (and scared) if this is impacting my mathematical maturity. When reading proofs written by ChatGPT I can spot mistakes but for the most part, never would I have the intuition, the maturity to conduct most proofs on my own (maybe it is normal considering I am not (yet) enrolled in a PhD?) and this worries me.
So, should I be scared of ChatGPT ? For mathematicians, how do you use it (if you do) ?