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 ...

The correct technical definition of infinity is that it is equal to some of its parts. For example, both the set of all real numbers and the set of all even numbers have infinite elements, yet it is ...

Infinity is bigger than any number. But saying just how much bigger is not so simple. In fact, infinity comes in infinitely many different sizes—a fact discovered by Georg Cantor in the late 1800s.

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 ...