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

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Posts: 8,833
Registered: 1/6/11
Re: A size criterion: a question
Posted: Jan 7, 2013 4:18 PM
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In article
WM <> wrote:

> On 7 Jan., 08:21, Butch Malahide <> wrote:

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

> Fine but why do you call that consistent? Oh, I see. You said
> consistent with ZF, i.e., you mean of same state of logic: |x| > |y|
> and |y| > |x| is as meaningful a theory as ZF.
> Agreed.

WM has no idea what he is really agreeing to, just as he rarely has any
idea what he is objecting to.

Butch's statements were based on a nan-standard definition of
|x| > |y| and |y| = |x|

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