These are the five types of infinity we will consider: countable, digital, breathed, eternal, and universe. And now here are the statements that we will explain, prove, and contemplate on this site. Each statement has an exploratory module dedicated to it.

The modules can be visited in any order. We’ve put together a section on the Basics of Set Theory that we recommend reading through first -- it covers all the background you need -- but you can visit it later from the menu.

1. Digital infinity and countable infinity are the same size   2. Breathed infinity is larger than digital infinity   3. Eternal infinity and breathed infinity are the same size   4. Universe infinity and eternal infinity are the same size   5. There are other types of infinity that are larger than universe infinity. There are an infinite number of sizes of infinity, fitting into a hierarchy where each is infinitely larger than the previous