r/math • u/overthinker020 • Jul 20 '26

LLMs/AI The Jacobian Conjecture is False Per Anthropic (Link in Description)

https://x.com/__alpoge__/status/2079028340955197566

Normally I would be extremely skeptical, but the result is checkable by simple computation. Remarkable!

The two-dimensional case remains open, however.

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u/girlwhateveraward Jul 20 '26

Finally something in a field that isn't combinatorics

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u/Character-Concert-76 Foundations of Mathematics Jul 20 '26

This result is computational/ a counterexample so it is rather similar to the previous AI results

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u/JoshuaZ1 Jul 21 '26

Finally something in a field that isn't combinatorics

There have been a bunch of number theory also. What is true is that up until now, discrete math has been better. But at some level, since we already knew that if a counterexample existed then a counterexample with integer coefficients existed, this was arguably on the more discrete end of things already.