This is how I see it. Lean made pure maths proofs APIable. A LLM can try 10’000 times to solve a proof, and if it succeeds one time that proof is done. 10’000 compiles on lean is basically nothing computationally. LLMs can do a mix of plausible avenues and brute forcing and get there.
I agree that LEAN and agents have made human mathematical proofs obsolete, however there is a bigger picture. The LLMs have now become so advanced that even very sophisticated problems can be solved by basic ChatGPT commands. No lean, no brute forcing, no agents or any mathematical knowledge necessary. That is how much acceleration there has been in recent weeks. When first proofs batch one came out half a year ago (
https://arxiv.org/pdf/2602.05192) the LLMs were given basic commands and were essentially useless. Just 3 months later they were posed a second batch of problems (
https://arxiv.org/pdf/2606.18119v1) and already solved most of them. The progress has been unimaginably fast. The systems are appearing to become very quickly extremely sophisticated. Let’s see how long it takes until there is no need for further batches. The progress
@ChronicallyOverIt and others describe has been incredible. Most programmers I know were laughing at the AI alternatives 8 months ago. Now there are almost no programmers left to laugh.
My personal impression is that roughly up I until last year, the large majority of mathematicians ignored possible problems posed by AI in mathematics and discussions on this issues were rare in the broader mathematical community. I think the large majority simply couldn't fathom the speed of possible progress. This year thinks have changed rather quickly, talks such as the one by Terry Tao are now starting to happen, but imo not nearly often enough at not at the necessary depth. There have been very few conferences dedicated to the topic from what I can see. But I suspect that this changes rather quickly now, especially since there are more mathematicians leaving academia as they believe things have changed drastically forever. I think people will simply have to begin to respond to the problems posed now, not out of cleverness, but rather out of pure necessity.
Regarding physics and biology: I don't know how good these LLMs are at modelling certain problems yet. But I wouldn't be surprised if there will be rapid progress as well. There will be rapid progress in mathematical physics and whilst some lab automation might take longer I currently can't see any reason why once things are running in unison things shouldn't take off.