UCLA Olga Radko Endowed Math Circle

1/9/2011 -- Group B: How many numbers are there? (Brett Frankel)

We all take for granted the fact that there are infinitely many numbers. But infinite sets can behave very unintuitively. Furthermore, not all infinities are the same! We will take a look at a few surprising facts about infinite sets, and introduce some tools that mathematicians use to make sense of the infinite.