But now Google’s DeepMind team has built AlphaProof, an AI system that matched silver medalists’ performance at the 2024 ...

DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate ...

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 ...

In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a ...

In 2024, an AI entered the fray of the International Mathematical Olympiad (IMO). Google’s AlphaProof is part of the same ...

You enter a cave. At the end of a dark corridor, you encounter a pair of sealed chambers. Inside each chamber is an all-knowing wizard. The prophecy says that with these oracles’ help, you can learn ...

Study enables deeper understanding of the Borell-Brascamp-Lieb inequality, which has wide applications across many scientific fields, from physics to economics. What happens when things combine? This ...

In 1963, the mathematician Roy Kerr found a solution to Einstein’s equations that precisely described the spacetime outside what we now call a rotating black hole. (The term wouldn’t be coined for a ...

Two US high schoolers believe they have cracked a mathematical mystery left unproven for centuries. Calcea Johnson and Ne'Kiya Jackson looked at the Pythagorean theorem, foundational to trigonometry.

Computers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But human beings alone cannot verify such immense proofs. That, according to Ian ...

Turbulence is one of the least understood phenomena of the physical world. Long considered too hard to understand and predict mathematically, turbulence is the reason the Navier-Stokes equations, ...