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

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Posts: 2,777
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 <>, on 03/13/2013
> at 09:27 PM, "K_h" <> 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?

There is no remainder in the mathematics of infinity.


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