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Comment by a2ff6eeb0 | Hacker News Reader

The hope is that some of them end up being useful; otherwise, nobody would be funding math departments. Mathematics typically anticipates and enables new physics and chemistry.

If people are just doing math to kill time, I don't get why anyone would bother with AI. Do people really enjoy picking through a million lines of generated Lean code, if it's not for any practical use?

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If you're interested in the topic enough to comment on it, you'll probably find it worthwhile reading a mathematician's perspective. Here's the prolific Terry Tao: https://mathstodon.xyz/@tao/117219548485446992

They don't actually say anything about why anyone should fund this, though. I don't get why a society should worry about progress in mathematics if there's no practical benefit expected.

Maybe there's two kinds of math that we need? Useful math and navel gazing, and we can hand the first to the machines, and let hobbyists do the second in their free to entertain themselves?

It's hard to know what math is 'useful' a priori. That's always been the argument for supporting basic research. This is not why I am a mathematician however. I think there's intrinsic value into understanding something of depth and meaning, but the societal setup we have now that mostly agrees this is valuable is probably a very contingent phenomenon that is unlikely to last much longer.

Yes, so if there's useful math, you throw the LLM at it and use the results, no humans needed.

Humans can try to extract some ideas from the million line lean proofs, if they want to, I guess. But I can't imagine anyone really funding the human part of it.

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