XKCD on the Axiom of Choice…

Arguably one of the best XKCD comics ever…

XKCD - 982 - Set Theory

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.

 

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