AI Breakthrough: Claude Fable 5 AI Disproves 87-Year-Old Jacobian Conjecture
Anthropic's AI model, Claude Fable 5, has made a significant mathematical breakthrough by finding a counterexample to the Jacobian conjecture, an 87-year-old problem in algebraic geometry. The conjecture, which involves polynomial functions and their reversibility, has been a longstanding challenge in mathematics. The AI discovered a simple function in three dimensions with a constant Jacobian determinant that is not reversible, disproving the conjecture for dimensions greater than two. This discovery highlights the potential of AI in solving complex mathematical problems.