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

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namducnguyen

Posts: 2,699
Registered: 12/13/04
Re: Anti-foundation axiom
Posted: Mar 14, 2013 10:12 PM
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On 14/03/2013 1:14 PM, Shmuel (Seymour J.) Metz wrote:
> 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.


Right. But there's also a sense that an Abelian group is a group.

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



--
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There is no remainder in the mathematics of infinity.

NYOGEN SENZAKI
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