This is a very interesting video.

If anything is infinite, it is our lack of knowledge.

I was disappointed (when I first saw that video, back when it came out) that it didn't end up actually listing all the numbers. In fact, it left out almost all of them, limiting itself only to real numbers. I was hoping it would build up to surreals, and hypercomplex numbers at least up to octonions, maybe even crazy wild stuff like suroctonions.