In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

In Math, we often talk of how a function behaves as a variable approaches limits at infinity. That is, if we let “x” take on larger and larger values, what happens to the value of “y” it creates? It ...

What can baby carrots tell us about infinity? Photo by ilovebutter/flickr/CC BY 2.0 Infinity is big. Really big. As mathematician Eugenia Cheng puts it, it’s the “biggest thing there is.” In her new ...

A set of the six sides of a die matches up one-to-one with a set of red shoes, helping illustrate Georg Cantor's set theorem. Image courtesy of GBH/NOVA It can be easy to take math for granted. But ...

Infinity in mathematics is considered as a number and represented as ∞. It is an endlessness and limitless concept which describes something without any bound or larger than any number. Sometimes it ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...