CLAUDE FABLE 5 AI FINDS A TINY FORMULA THAT TOPPLES AN 87-YEAR-OLD MATH CONJECTURE

A mathematician working at Anthropic used the AI model Claude Fable 5 to discover a simple counterexample to the Jacobian conjecture, a problem that has stood unresolved for 87 years. The finding, reported by All Top News – ScienceDaily, shows that the conjecture is false in three dimensions and above.

The new counterexample demonstrates that the conjecture does not hold when applied to polynomial mappings in dimensions greater than two, overturning a long-held assumption in algebraic geometry. While the two‑dimensional version remains unsolved, the 3‑D result marks the first definitive refutation of the conjecture. The discovery was made through the analytical capabilities of Claude Fable 5, an advanced AI system developed by Anthropic.

The Jacobian conjecture, first proposed in the late 19th century, has been a central question in mathematics, with numerous attempts at proof and counterexamples. Its resolution would have significant implications for fields ranging from differential equations to complex geometry.

• Claude Fable 5 was employed to generate a counterexample to the Jacobian conjecture.
• The conjecture is now proven false in dimensions three and higher.
• The two‑dimensional case of the conjecture remains unsolved.

Read the original source for full detail available at All Top News -- ScienceDaily src