Although initially controversial, the axiom of choice is now a well-known principle in mathematics, and it's relationship to the rest of mathematics has been thoroughly explored. With this talk, I want to explore the development of our understanding of the axiom of choice: Going from Cantor's bold assertion of it's truth to Zermelo's "proof" of it's equivalence to the well-ordering principle, then to it's status as an independence phenomena, and finally the connection of it to definable mathematics. This talk is intended as a broad overview, and all are invited to attend.