Date: Feb 20, 2013 6:41 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 222 Back to the roots

On 20 Feb., 00:04, Virgil <vir...@ligriv.com> wrote:
> In article
> <3631966c-7e49-45db-a3f9-03b9b9724...@f6g2000yqm.googlegroups.com>,
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > It is self-evident that "for every natural number" is identical with
> > "up to every natural number".

>
> And to "for all natural numbers", as a quantifier.


No, there are not all natural numbers, because that would be a set
without the possibility to obtain further natural numbers. But it is
the most important feauture of any set of natural numbers, that it is
not complete.

Regards, WM