Date: Dec 9, 2012 11:24 AM
Author: fom
Subject: Re: fom - 01 - preface

On 12/9/2012 3:20 AM, WM wrote:
> On 9 Dez., 08:21, fom <fomJ...@nyms.net> wrote:
>
> A hint: If you want to be read, write shorter.
>

>> In a footnote of his paper describing
>> the constructible universe, Goedel makes
>> it clear that the construction presupposes
>> that every domain element can be named.

>
> For every set that, at leat in principle, shall be well-ordered, this
> nameability is crucial.
>
> Regards, WM
>


Indeed

So, why is there no global axiom of choice?

The constructible universe can be well-ordered.

But, when people say they have obtained some models
by forcing, that is just to say that an assumption
of partiality demonstrated an element outside the
ground model. Circular.

If those models cannot be put in correspondence
with ORD should they not be considered meaningless?

It is the same question as that of accepting a
completed infinity, although it is now in the
realm of the transfinite. A "model" is a possible
universe, and therby is a completion of sorts.
But, nameability of elements is relevant.