Mathematicians are finding inevitable structures in sufficiently large sets of integers. Despite that, Furstenberg’s paper left a lasting imprint on mathematics. His new argument contained a kernel of ...

Fourteen years ago, the mathematicians Dusa McDuff and Felix Schlenk stumbled upon a hidden geometric garden that is only now beginning to flower. The pair were interested in a certain kind of oblong ...

The following is an excerpt from Beyond Infinity: An Expedition to the Outer Limits of Mathematics, by Eugenia Cheng Mathematics can be thought of as many things: a language, a tool, a game. It might ...