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Aug 19, 2015 at 15:44 comment added Asaf Karagila Over a finite field, if two vector spaces are equipotent then they are isomorphic.
Aug 18, 2015 at 21:52 comment added goblin GONE @JoelDavidHamkins, perhaps the axiom "every model has a saturated elementary extension" can be recast into the desired form.
Aug 18, 2015 at 18:37 history made wiki Post Made Community Wiki by Todd Trimble
Aug 18, 2015 at 18:12 comment added Joel David Hamkins It isn't an axiom of set theory, but among the saturated models of a fixed first-order theory, any two that are equipotent are isomorphic.
Aug 18, 2015 at 17:42 history asked goblin GONE CC BY-SA 3.0