The complement of set B, B’, contains all the elements that are not in set B. \(P’\) is the complement of set \(P\). The intersection of one set and the complement of another set identifies elements ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

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 ...