Colin Wright does a talk about infinity. This is where he's working on the outline:

 Bizarre things: Balls In Barrels Axiom of Choice Banach-Tarski Paradox Continuum Hypothesis Uncountable Sets Zorn's Lemma Well-ordering principle Covering the Reals Infinte series ... 1 - 1 + 1 - 1 + 1 - 1 + ... 1/2 + 1/4 + 1/8 + 1/16 + ... 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + ... 1/2 - 1/3 + 1/4 - 1/5 + 1/6 - ... Stacking Blocks Constructing the reals: Pages that may or may not mention infinity: