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Claude Fable produced a counterexample to the Jacobian Conjecture

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213 pts · 114 comments on Hacker News

Jul 20, 2026 · 2:19 AM UTC

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wolframalpha.com/input?i=Det… jacobian determinant in wolfram alpha
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wolframalpha.com/input?i=%28… wolframalpha.com/input?i=%28… evaluating at two of those points in wolfram alpha

((1+x y)^3 z + y^2 (1 + x y) (4 + 3x y), y + 3x (1 + x y)^2 z + 3x y^2 (4 + 3x y), 2x - 3x^2 y -...

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wolframalpha.com
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Sort replies: Relevant Recent Liked
Replying to @__alpoge__
Thank you blessed math fairy
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Listen!
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Replying to @__alpoge__
fable is 180 iq, confirmed by my trusted advisor
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Replying to @__alpoge__
@grok is this true
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liz we both know @gork would know better
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Replying to @__alpoge__
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My face when about to click post on this one..
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Replying to @__alpoge__
is this the same as in Yitang Zhang's thesis? math.purdue.edu/~ttm/Zthesis…
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Yo he is so incredible. i was at his first talk on small gaps:D the story was that he relied on a result which had a gap right
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Replying to @__alpoge__
investing at 0 likes in case this is true
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This is the most hilarious / horrifying problem because it is like the canonical crank graveyard. Ty 4 investment🙏
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more replies
Replying to @__alpoge__
maybe a stupid question, but doesnt this also imply that dixmier conjecture and poisson conjecture are false in general?
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Replying to @__alpoge__
waow. i'm hearing this now for the first time
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Replying to @__alpoge__
Oh. OH. this is the type of post you should be starting with a Y'ALL. LISTEN.
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Replying to @__alpoge__
The absolute state of maths.
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Replying to @__alpoge__
I would appreciate it if you tell everyone here how you found this counterexample.
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Replying to @__alpoge__
Flawless way to announce a major mathematical result
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Replying to @__alpoge__
if ur some math guy who's been working on this for 20 years, do u love or hate AI as a result
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Replying to @__alpoge__
@__alpoge__ can I PR the following formalization to the Counterexamples folder of Mathlib (suggested by Ricardo Brasca): live.lean-lang.org/#codez=JY…

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