Arguably one of the best XKCD comics ever…
The alternate text for this comic is a modern lumberjack’s proof of Zermelo’s Theorem.
Proof of Zermelo’s well-ordering theorem given the Axiom of Choice:
1: Take S to be any set.
2: When I reach step three, if S hasn’t managed to find a well-ordering relation for itself, I’ll feed it into this wood chipper.
3: Hey, look, S is well-ordered.