In this playlist, I show you how to understand set theory. I introduce sets as Venn diagrams, mapping, and as sets of numbers. With sets, we look at how to find the union, complement, and intersection ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily. How do mathematicians decide that something ...

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 ...