Goalposts

Hacker News has set AI a lot of challenges over the years. Which ones has it met?

2023 Septemberkevinventullo

About whether algorithmic discoveries in mathematics count without proofs or understanding.

To be honest, we’re not even to that point. There have been no major mathematical proofs to come out of ML/AI, regardless of understanding. I say “major” because, sure, you can prove something “new” in a constrained framework that lends itself to different types of search techniques, but this is sort of akin to writing down the “undiscovered” mathematical statement that X*Y=Z, where X and Y are some super large numbers whose product has never been explicitly computed.

So, if an ML technique came out and proved the Riemann hypothesis or that zeta(5) was irrational, even if the proof was totally inscrutable, that would be absolutely groundbreaking. At the risk of hyperbole, potentially the most important result of my lifetime; not because of the result per se, but because it would signal a shift in how all of mathematics is done.

An ML system proves the Riemann hypothesis or that zeta(5) is irrational, even if the proof is inscrutable.

Has this happened?

Yes 17 (15%)Not sure 46 (41%)No 50 (44%)

Votes cast 1–2 October 2026: 100,590 votes from 9,694 people.