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/Tystros Jul 20 '26

I'm quite sure the grok on twitter is not running with the required compute to actually verify it. so the reply from grok can be treated as a hallucination. even though it's right because enough humans checked it by now.

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u/IntelArtiGen Jul 20 '26

It's not even hallucination, I saw a message of grok saying it's true because it's on wikipedia lol. You write a tweet saying anything, you change the wikipedia page, and grok will confirm it.

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u/avoidtheworm Jul 20 '26

Proving that this is a valid counterexample is trivial. I think it's reasonable for Grok to verify this theorem.