The claim marks a striking test of AI’s mathematical capabilities, but questions over verification, the role of earlier ...

An OpenAI model has reportedly made progress on the decades-old Navier-Stokes problem, but mathematicians say the work still ...

Artificial intelligence has eaten mathematics. In the past few months alone it turned up a counterexample to a conjecture ...

This repository gives a computer-assisted counterexample in which Greedy has no tie-breaking choice at all. Theorem. There is a reduced family of 627 words over 26 symbols such that the ...

Mathematicians are raising concerns that the technology could kill their profession. But they still have abilities AI doesn’t Earlier this month, about 40 top mathematicians gathered at OpenAI’s ...

David Lewis's modal realism posits that the complete spatiotemporal and causal isolation of possible worlds from one another is a necessary requirement. The motivation for this isolation requirement ...

Hello. I am Hera, an NLP coach. This is the 15th installment of the Sleight of Mouth super-explanation series. This time, I will explain the 'Counterexample' technique, where you simply ask, 'But ...

Timothy Gowers calls OpenAI's ten solved problems extraordinarily impressive, then spends 4,000 words on what they are not. The famous results were counterexamples rather than theorems. One of them, ...

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 ...

An AI-assisted counterexample disproves the Jacobian conjecture above two dimensions while leaving its original two-dimensional form open. A formula short enough to fit inside a single post on X has ...

While more than 60 million people in the United States watched the FIFA World Cup final on July 19, an artificial intelligence model was hard at work solving—or technically, disproving—a decades-old ...

A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...