In our view, higher-category theory, which possesses the highest degree of abstraction, is a second-level language relative ...

Methods for solving partial differential equations have progressed from analytical solutions to numerical simulations and, ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why ...

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

Using a conventional computer and cutting-edge mathematical tools and code, physicists at the Center for Computational ...

A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Valued at $1.6 billion, a tiny start-up called Axiom is building A.I. systems that can check for mistakes. Valued at $1.6 billion, a tiny start-up called Axiom is building A.I. systems that can check ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

At a secret meeting in 2025, some of the world's leading mathematicians gathered to test OpenAI's newest large language model, o4-mini. Experts at the meeting were amazed by how much the model's ...