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 ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. We recently wrote about how infinitely large sets are not all the same size as each other, but we were ...

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 ...