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 ...

Is there an infinity of infinities? The question sounds almost absurd, like a child’s riddle meant to twist your brain into ...

This is what happens when you mess with infinity. You might think that if you simply started adding the natural numbers, 1 plus 2 plus 3 and so on all the way to infinity, you would get a pretty big ...

With infinity, we made a monster. Our minds demand that it should exist – only to rapidly melt at the consequences of a concept that is, by definition, too big for our brains. The pleasure and the ...

Have you even thought deeply about Buzz Lightyear's famous catchphrase from the "Toy Story" movies? Probably not. But maybe you've sometimes looked up at the night sky and wondered about the nature of ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

athematics is, at its core, an art. Like painters, musicians or writers, mathematicians create and explore new worlds. They ...

IF YOU were forced to learn long division at school, you might have had cause to curse whoever invented arithmetic. A wearisome whirl of divisors and dividends, of bringing the next digit down and ...