Sizes of Infinity Part 2: Getting Real
Professor
Philosophy
Massachusetts Institute of Technology

Part 2 of a pair. After part 1, you might have thought that all different infinite collections of things are the same size. Not so! In this video, Agustin shows us another of Georg Cantor’s results: that for every size of infinity, there is a bigger one! An example: there are way more real numbers than there are natural numbers.

Resources

Open University: 60-Second Adventures in Thought: Hilbert's Infinite Hotel
Wikipedia: Cantor's Diagonal Argument