Tom Forster
(Cambridge University)
The Axiom of Choice: What It Means and What It Does

The Axiom of Choice is probably the cause of more anxiety and unproductive disputation than any other proposition of pure mathematics. Even the minority of mathematicians who can state it correctly (and who profess to believe it) generally do not know when they are using it (or not using it) nor what purpose it serves nor what it means. In this talk I offer a non-partisan account for the working pure mathematician. It will not be heavily technical: I assume mathematical maturity but no specific skills.