Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 2,743
Registered: 12/13/04
Re: Anti-foundation axiom
Posted: Mar 14, 2013 10:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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?

There is no remainder in the mathematics of infinity.


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.