PHILOSOPHY - Mathematics: Sizes of Infinity, Part 1 (Hilbert's Hotel) [HD]

Transcript

(Intro music) Hi, I am Agustin Rayo. I'm an associate professor[br]of philosophy at MIT, and today I want to[br]talk about how there are some infinities that[br]are bigger than others. So, a first exercise to see why[br]some infinities are bigger than others is to think[br]about Hilbert's Hotel. So Hilbert's Hotel is like an[br]ordinary hotel, exce... Read More