Earlier this month OpenAI claimed one of its internal models had proved that the Navier-Stokes equations, which are used to ...

Days after the Navier-Stokes result, 25 Fields Medalists signed a declaration against AI labs. The distinction they defend is ...

For ages, countless mathematicians have advanced mathematics through proofs. This is because proof is a key tool for developing new theories and solving problems. That’s why a discussion about proofs ...

A dispute over the solution to one of the hardest problems in mathematics highlights key questions about the data companies ...

Recently, two American high school students made headlines for discovering a new proof of the Pythagorean theorem. Calcea Johnson and Ne'Kiya Jackson, seniors at St. Mary's Academy in New Orleans, ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or two to tell you about fascinating ideas from their corner of the universe.

The one source of truth is mathematics. Every statement is a pure logical deduction from foundational axioms, resulting in absolute certainty. Since Andrew Wiles proved Fermat’s Last Theorem, you’d be ...

OpenAI’s claimed proof of the Navier-Stokes problem is a mathematical tour de force, but any real-world applications may be years away—if they ever arrive at all ...