A seemingly simple set of rules kicks off a kind of mathematical magic trick, which has kept great minds busy since the 1930s ...

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, ...

Physicist Richard Feynman turned a lunch dilemma into a math problem. Researchers finally cracked his notes and found people ...

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 ...

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 ...