Different Sizes of Infinity

This series of lectures is meant to be an introcution to the different sizes of infinity. That's right, there is more than one size of infinity. This series of lectures will provide the tools to understand the statement that there are morenumbers between 0 and 1 than there are natural numbers, that is the numbers that go 0, 1, 2, 3, 4, and so on.

The pre-requisites for these lectures are an understanding and comfort with fractions and irrational numbers and an understanding of the notion of infinity, for example, that there are infinitely many natural numbers. These lectures provide just a taste of a very big group of sizes of infinity called transfinite numbers. Enjoy!

This work was made possible through a grant from the National Science Foundation.