Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits ...

The transcript explores Goldbach’s conjecture, the simple-looking claim that every even number greater than 2 can be written ...

A timeline of his draft fall and what can be learned from it.

What We’re Reading Discover notable new fiction, nonfiction, and poetry. Yet that’s possible only because we live in the ...

Yu Deng of the University of Chicago links Newtonian mechanics and the Boltzmann equation, advancing Hilbert’s Sixth Problem ...

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

An OpenAI model disproved the 80-year-old Erdős unit distance conjecture, and Google DeepMind's AlphaProof Nexus solved nine more open problems days later. Together, these AI math breakthroughs mark a ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.

In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph. D.

ChatGPT's breakthrough is not what it seems.

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...