There is an axiom/lemma from Teichmilles & Tukey that is equivalent to the axiom of choice. It reads,(adsbygoogle = window.adsbygoogle || []).push({});

Every family of sets F that is of finite character (http://en.wikipedia.org/wiki/Finite_character) possess a maximal element.

I just want to confirm that here, "maximal set" means a set that is itself contained in no greater set?

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# Axiom of choice, yay!

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