I agree. But my frustration is that there is no argument why AI
should be aligned with mathematics.
Why can't the mathematicians that value their own community remain aloof from what AI companies are doing. Can't they continue to take their time digesting proofs, gaining insights, and attributing credit to mathematicians doing good work. Here's how I perceive the situation:
Before:
- mathematicians digest current results and develop insights
- insights lead to new results
- new results give mathematicians an opportunity to credit those insights
Now:
- AI companies release a bunch of potentially uncredited proofs
- mathematicians digest these results and gain insights
- mathematicians recapitulate AI proofs in terms of their deeper insights and theory
- mathematicians give credit for these new insights and progress in understanding, even though the binary true-false status of theorems were already determined beforehand.
If the true-false status itself isn't real mathematics, then mathematicians still can do the real mathematics after the fact and continue to celebrate each others' work. The only thing they lose is the ability to attribute a human to deciding the true-false status, which isn't real math anyways (though maybe valuable for motivation). What they gain is efficiency. Every mathematician working towards proving NS won't blow up can now shift their resources to understanding why it can blowup.
Perhaps the letter is implying that the mathematical community itself will become misaligned with how mathematics is currently done. I'm unpersuaded it's entirely the AI companies' fault if that happens. AI may create a lot of temptations for individual mathematicians to become lazy, but that seems like something the mathematical community needs to resolve for itself. Every institution needs to take a lot of self-ownership here. I'm also annoyed about parents complaining about their own children being addicted to their phones as if it isn't in their own power to determine if their children have phones in the first place. I think this letter would be better directed at universities and journals. They should be holding their own institutions to account if they feel like they are adopting the mentalities of the AI companies and no longer faithfully executing the values of mathematics.