The Math Forum

Search All of the Math Forum:

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

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: A size criterion: a question
Replies: 15   Last Post: Jan 9, 2013 1:22 PM

Advanced Search

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

Posts: 8,833
Registered: 1/6/11
Re: A size criterion: a question
Posted: Jan 7, 2013 4:22 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
WM <> wrote:

> On 7 Jan., 19:18, Zuhair <> wrote:

> > > In fact, it's consistent with ZF that there are sets x and y such that
> > > both |x| > |y| and |y| = |x|.

> >
> > True, but not in this extension of ZF!
> >

> True, e.g., for indistinguishable reals.
> If you can't distinguish them, you cannot prove that they are more
> than the rationals. |R| = |Q|.
> But if you believe that they exists independently as different numbers
> (although nobody can prove it), then |R| > |Q|.
> Regards, WM

Again, WM is missing the point. Te properties of |x| > |y| and |y| = |x|
depend on the definitions of |x| > |y| and |y| = |x|, and the definition
that Butch and Zuhair re discussing is not the standard one, so that WM
again does not know what he is talking abaout

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

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.