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qltetoday at 2:57 AM1 replyview on HN

Yes, mathematicians will clearly need to rewrite the qualifying criteria for prizes to better align with the actual goals and value they were hoping to get from a solved problem. The field as a whole assumed good faith actors and collaboration, not expecting a few trillion dollar companies to walk in and start turning in piles of Lean no human understands to be able to claim "first".

This letter includes someone like Terrance Tao who publicly expressed a lot of optimism about AI for solving novel math like with the Erdos problems. It's not sour grapes but the first steps to define those new expectations for the future to reduce the perverse incentives.

And yet, predictably, people are accusing him of "gatekeeping" and ignoring the arguments he has made here and elsewhere about the benefits vs. harm in different ways of using AI.


Replies

ndriscolltoday at 12:45 PM

I don't see turning in piles of Lean as bad-faith somehow. They were first, and they did prove the result (assuming no hidden exploit deep in the middle). The thing they produced is just different, and both giant raw proofs and distilled human-understandable proofs are valuable. Before we couldn't make giant raw proofs, so we didn't need to understand their place. Now we can. It makes sense to just incorporate that into what "math" is (at least until the machines are smarter and can make elegant proofs from the start).