THE mathematicians’ version of nothing is the empty set. This is a collection that doesn’t actually contain anything, such as my own collection of vintage Rolls-Royces. The empty set may seem a bit ...

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 ...

To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth. In the course of exploring their ...