Minute Physics' Henry Reich takes a break from physics to drop some maths knowledge. Using some basic tenets of set theory, Reich explains how we know that one infinity can be bigger than another.
It might take you a couple of run-throughs, but the concepts he's presenting here are actually pretty straight forward, which is kind of funny for a couple of reasons. For one thing, while demonstrating the existence of infinite infinites may be relatively painless, actually sitting by yourself and thinking about the existence of infinite infinities is still an excellent way to trigger a nose bleed and make your eyes roll back.
And two, for as "simple" as the idea of infinite infinities comes across in a 120-second YouTube video, nobody had actually demonstrated this concept (let alone that some infinites were bigger than others) until the late 1800s. Thanks for the brain cramps, Georg Cantor!
For a more in-depth look at infinity and all its weirdness, check out our brief (but thorough) introduction.
