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I have always thought that Mr Russell is wrong with that cheeky quote. With the socks you also dont need the AOC. Why? because if you have a pair of identical
by Ostrogodsky 5y ago
I have always thought that Mr Russell is wrong with that cheeky quote. With the socks you also dont need the AOC. Why? because if you have a pair of identical socks (I think that was what Russell had in mind) then effectively you have a set of cardinality 1.If the socks are different, choose the lightest, if there is a tie between them choose the longest, and so on,if for all the tests the socks are tied declare them the same and back to point 1.
This is my preferred quote about the AOC:
> The Axiom of Choice is obviously true, the well-ordering principle obviously false, and who can tell about Zorn's lemma?
Jerry Bona.
https://en.wikipedia.org/wiki/Jerry_L._Bona https://en.wikipedia.org/wiki/Jerry_L._Bona