Artificial intelligence is increasingly solving longstanding mathematical problems, such as the Jacobian conjecture, prompting leading mathematicians to question whether this development is ultimately…
OpenAI hosted about 40 top mathematicians in August 2026 to discuss AI's impact on their field, where fears about job security prevailed, but security technologist Bruce Schneier and mathematician Kas…
An AI-assisted counterexample has disproved the Jacobian conjecture in dimensions greater than two, while the original two-dimensional form remains open. The counterexample, presented as a formula sho…
Author Cory Doctorow argues that AI tools require user discernment to evaluate their output, citing a dialogue between mathematician Terrence Tao and ChatGPT about the Jacobian conjecture as an exampl…
A developer released a pipeline under CC0 a month ago that Claude used to find a counterexample to the Jacobian conjecture. The pipeline's repository history, public release, and discussion with one o…
A software developer expresses existential and economic anxiety after the latest Claude model disproved the Jacobian conjecture, highlighting AI's rapid advancement in coding and mathematics. The auth…
A mathematician at Anthropic posted three polynomials on X that disprove the Jacobian conjecture, an 87-year-old open problem unsolved since 1939. The counterexample, found by Claude's Fable 5, consis…
Levent Alpöge posted on X a counterexample to the Jacobian conjecture, a problem open since 1939, using Anthropic's Claude model. The counterexample consists of three polynomials that satisfy the conj…
An AI-found counterexample to the 87-year-old Jacobian conjecture in dimension three, posted by mathematician Levent Alpöge on July 19, can be verified by anyone in seconds using symbolic computation.…
Mathematician Levent Alpöge used Anthropic's Fable 5, the latest frontier AI model, to disprove the Jacobian conjecture, a long-standing open problem in algebraic geometry that had resisted solution f…
Mathematician L. Alpöge announced a polynomial counterexample to the Jacobian conjecture on July 20, 2026, crediting the AI system Fable. The Jacobian conjecture, first stated by Keller in 1939, asser…
A researcher criticizes the shallow use of large language models (LLMs) to disprove famous mathematical conjectures like the Jacobian and unit distance conjectures, arguing that the true value of math…