[FOM] Cardinality Beyond Regularity and Choice!
T.Forster@dpmms.cam.ac.uk
T.Forster at dpmms.cam.ac.uk
Mon Dec 14 04:49:01 EST 2009
The answer is `no'. See Gauntt's article in the LA 1967 volume.
(This is well-trodden ground, that NFistes in particular have to
know like the back of their hand. I'm beginning to wonder whether
or not i should write a wikip{\ae}dia/Lonely Planet guide to it.)
> It is well known that Cardinals are defined under the assumptions of
> Choice or Regularity.
>
>The question that present itself is:
>
>Can we define Cardinality for every set in ZF minus Regularity?
>i.e. beyond Choice and Regularity.
>
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