Date: Dec 10, 2012 11:53 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: fom - 01 - preface

On 10 Dez., 01:02, fom <fomJ...@nyms.net> wrote:
> On 12/9/2012 12:30 PM, WM wrote:
>

> > On 9 Dez., 17:24, fom <fomJ...@nyms.net> wrote:
> >> On 12/9/2012 3:20 AM, WM wrote:
>
> <snip>
>

> >> So, why is there no global axiom of choice?
>
> > As far as I am informed, *the* axiom of choice is global. There is no
> > exception. Zermelo proved: Every set can be well-ordered.

>
> The axiom of choice only applies to sets within
> a given model.


Zermelo proved that every set can be well-ordered - without mentioning
any model. My interest is solely the set of real numbers. It is
covered by Zermelo's proof.

Regards, WM