Math models were already good at brute-force counterexample hunting, says AI researcher
dyamins · x · 2026-07-21
The post argues that the surprising part of the Jacobian conjecture counterexample is less that a math model could find it, and more that people had not previously applied enough automated search to look for this kind of counterexample. - The author says math models are already good at exhaustively checking conditions, handling combinatorial edge cases, and avoiding infinite search spaces through constraint reasoning. - They point to their own experience using models to surface annoying multivariable calculus and algebraic geometry counterexamples. - The broader claim is that automation often does the boring but crucial search work humans dislike, while human effort historically went into elaborate theory-building and proof attempts that still missed the counterexample.
Related event: AI Math Models Already Excel at Exhaustive Counterexample Searches(2 posts)→
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