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Topic: Anti-foundation axiom
Replies: 11   Last Post: Mar 15, 2013 6:00 AM

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Shmuel (Seymour J.) Metz

Posts: 3,308
Registered: 12/4/04
Re: Anti-foundation axiom
Posted: Mar 14, 2013 3:14 PM
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In <2Yydnd8sOskxzNzMnZ2dnUVZ5hmdnZ2d@giganews.com>, on 03/13/2013
at 09:27 PM, "K_h" <KHolmes@SX729.com> said:

>Contrary to what you are assuming, my remarks were not limited to
>ZFC.


Then what do you mean by "generally accepted approach"?

>ZFC is agnostic on the issue of the existence of non-constructible
>sets.


Choice inplies the existence of nonconstructible sets in ZFC.

>In a theory like ZFC+(V=L)

ZFC+(V=L) is not ZFC.

>It is not the case that ZFC-->(V=/=L).

How is that relevant?

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