# AI Disproves a Major Math Problem The Jacobian conjecture has been disproven by artificial intelligence. - **Source:** [Mashable](https://brifing.si/source/3cd6d1d0-9c29-4750-8bc9-f2afefb52505) - **Published:** 2026-07-20 - **Topic:** [Data & AI](https://brifing.si/c/data-ai) - **Original article:** - **On Brifing:** https://brifing.si/s/dc579edc-5c1f-4daf-b0c9-5aa8e707cf2e ## What is the Jacobian Conjecture? The Jacobian conjecture is an unsolved problem in algebraic geometry that has puzzled mathematicians for 90 years. It was included in Stephen Smale's list of unresolved mathematical problems in 1998. ## Levent Alpge's Announcement Mathematician Levent Alpge announced on X that he used Anthropic's Fable 5 model to disprove the Jacobian conjecture. This is seen as a significant advancement in both AI and mathematics. ## Capabilities of Fable 5 Fable 5 is Anthropic's latest frontier AI model. Known as the public version of Claude Mythos Preview, it boasts advanced cybersecurity capabilities. ## Mathematicians' Perspective Andrew Blumberg from Columbia University stated that this development did not change prior views on AI's capabilities. However, he acknowledged the importance of such an achievement. ## Difference Between Counterexample and Proof Blumberg emphasized the significant difference between disproving a mathematical problem and proving it. He noted that finding a counterexample does not provide deeper insights into the problem's structure. ## Future Implications This development showcases AI's potential in solving mathematical problems. However, it remains unclear whether such successes will deepen mathematical understanding. ## Sources covering this story - https://mashable.com/tech/anthropic-fable-5-disproves-jacobian-conjecture — --- _Summary written by Brifing from the original reporting. Copyright in the original article belongs to its publisher; read the full piece at the link above._