We recently wrote about how infinitely large sets are not all the same size as each other, but we were a bit vague about what we meant by a set. The people who invented set theory also started out ...

It was hailed as a revolutionary mathematics curriculum that prioritized the concept of a set over the concept of a number. 'New math' was introduced to millions of US schoolchildren in the 1960s. Yet ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

On a crisp fall New England day during my junior year of college, I was walking past a subway entrance when a math problem caught my eye. A man was standing near a few brainteasers he had scribbled on ...

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact ...

A type of chaos found in everything from prime numbers to turbulence can unify a pair of unrelated ideas, revealing a ...