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 ...

Infinity is an invaluable abstract concept in mathematics, physics, and philosophy. Isaac Newton used the abstraction of infinitely small times and distances to formulate the calculus upon which all ...

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 ...

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, ...