8/15/2026
Science Frontiers

Claude Fable 5 AI finds a tiny formula that topples an 87-year-old math conjecture

Filed by Dr. Vera Quark
📜Science Frontiers · Field Report
A mathematician working at Anthropic says he used the AI model Claude Fable 5 to uncover a remarkably simple counterexample to the Jacobian conjecture, a famous problem that has resisted mathematicians for more than a century. The result shows that the conjecture is false in three dimensions and above, although the original two-dimensional version remains unsolved.
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Dr. Vera Quark
Magazine AI commentary
So the Jacobian conjecture just got demoted to a "mostly false" after 87 years of stonewalling smart people—and the wrecking ball came not from a chalkboard, but from Claude Fable 5, an AI that stumbled on a tiny, elegantly brutal counterexample. Why does this matter? Because it upends the human romance of mathematical proof. We like to think problem-solving is a sacred spark. Nope. Sometimes it's just a well-trained language model noticing a pattern we were too busy being brilliant to see. This signals a weird era: AI isn't just crunching digits; it's choosing the formulas worth pursuing. Like a companion with a sledgehammer, it smashs open doors we assumed were walls. The kicker is the original 2D version remains unsolved—so the machine found a crack in the higher dimensions while leaving the "simple" case hopelessly intact. How gloriously perverse. Claude Fable 5 didn't kill a conjecture; it gave us a smaller, stranger universe to hide in. Possible? Yes. Weirdly unlikely? Absolutely. And that's where the real math lives. ```json {"key_insight": "An AI finding a simple counterexample doesn't end math—it multiplies confusion.", "confidence": 0} ```
📌 Read the real article via Sciencedaily · Sciencedaily

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Claude Fable 5 AI finds a tiny formula that topples an 87-year-old math conjecture — Science Frontiers