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Comment · 2 months ago
Same reason why you would use arxiv instead of posting the result to X.
Comment · 2 months ago
My high hopes were quickly dashed at the step that involved turning a complex topic into rollercoaster tycoon.
Comment · 3 months ago
I agree. Prompting 5.6 Sol to "Review these writeups and include appropriate citations and credit where appropriate" probably would have been a step in the right direction.

Then again, this would require them to actually care about the mathematics.

Comment · 8 months ago
> But we know that any person who uses AI is likely to improve at what they do.

Do we?

Comment · 8 months ago
Interesting post. The First Proof experiment really showed us the near future of AI/math interactions, some impressive success, but also lots of extremely hard to verify text, misformulated lean "proofs" etc. but progress on AI does math has indeed been impressive
Comment · 8 months ago
Obviously not
Comment · 9 months ago
Comment · 9 months ago
Comment · 9 months ago
Peer review should be disrupted, but doing peer review via social media is not the way to go.
Comment · 9 months ago
Yes this is the standard proof of infinitely many primes but note that my prompt asked for infinitely many even primes. The point is that GPT would take the correct proof and insert "even" at sensible places to get something that looks like a proof but is totally wrong.

Of course it's much better now, but with more pressure to prove something hard the models still just insert nonsense steps.

Comment · 9 months ago
This also can be observed with more advanced math proofs. ChatGPT 5.2 pro is the best public model at math at the moment, but if pushed out of its comfort zone will make simple (and hard to spot) errors like stating an inequality but then applying it in a later step with the inequality reversed (not justified).
Comment · 9 months ago
My favorite early chatgpt math problem was "prove there exists infinitely many even primes" . Easy! Take a finite set of even primes, multiply them and add one to get a number with a new even prime factor.

Of course, it's gotten a bit better than this.

Comment · 9 months ago
It's helped, but it's not correct that mathematicians are scoring major results by just feeding their problems to gpt 5.2 pro, so the OP claim that mathematicians are just playing off AI output as their own is silly. Here, im talking about serious mathematical work, not people posting (unattributed AI slop to the arXiv).

I assume OP was mostly joking, but we need to take care about letting AI companies hype up their impressive progress at the expense of mathematics. This needs to be discussed responsibly.

Comment · 9 months ago
I think a more realistic answer is that professional mathematicians have tried to get LLMs to solve their problems and the LLMs have not been able to make any progress.
Comment · 9 months ago
I think "pretty soon" is a serious overstatement. This does not take into account the difficulty in formalizing definitions and theorem statements. This cannot be done autonomously (or, it can, but there will be serious errors) since there is no way to formalize the "text to lean" process.

What's more, there's almost surely going to turn out to be a large amount of human generated mathematics that's "basically" correct, in the sense that there exists a formal proof that morally fits the arc of the human proof, but there's informal/vague reasoning used (e.g. diagram arguments, etc) that are hard to really formalize, but an expert can use consistently without making a mistake. This will take a long time to formalize, and I expect will require a large amount of human and AI effort.

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