Even a true proof oracle wouldn't end mathematics, mathematician argues

keenanisalive · x · 2026-09-13

In the debate over whether AI ends mathematics, a mathematician responds: suppose you had a true oracle that could instantly prove or disprove any statement — mathematics still wouldn't be over. You'd have a vast ocean of true statements; the real work remains figuring out which are interesting, how theorems relate, how they build a bigger picture, and how to explain it. He cites Thurston's Geometrization Conjecture: Perelman got the accolades for proving it (the first Millennium Prize problem solved), but without Thurston posing the conjecture in 1982, we'd be lost.

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