Zorns LemmaYou are currentlynot logged in Click here to log in |
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Zorn's Lemma is a statement about partially ordered sets. It states:
Well, not so fast. Things get hairy when you have uncountable sets, and so things can go wrong.
In fact, Zorn's Lemma is equivalent (using the usual set-theory background) to the Axiom of Choice, and that's not so obvious either.
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PartiallyOrderedSet UncountableSet |
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(none) | Axiom | ContinuumHypothesis CountableSet CountingNumber GeorgCantor RealNumber TransfiniteNumbers |
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