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Topic: fom - 01 - preface
Replies: 35   Last Post: Dec 16, 2012 12:20 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: fom - 01 - preface
Posted: Dec 10, 2012 3:43 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> 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.

Does WM claim that Zermelo's "proof" must hold in every model, that it
is somehow universal?
>
> Regards, WM

--

Date Subject Author
12/7/12 fom
12/8/12 Zaljohar@gmail.com
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 fom
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/8/12 fom
12/8/12 ross.finlayson@gmail.com
12/9/12 fom
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 fom
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 fom
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/10/12 fom
12/10/12 ross.finlayson@gmail.com
12/11/12 fom
12/12/12 ross.finlayson@gmail.com
12/12/12 Virgil
12/16/12
12/9/12 ross.finlayson@gmail.com
12/9/12 fom
12/9/12 ross.finlayson@gmail.com
12/9/12
12/10/12 fom
12/9/12 mueckenh@rz.fh-augsburg.de
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/10/12 Dan Christensen
12/11/12 fom