Date: Mar 7, 2013 6:35 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 222 Back to the roots

On 6 Mrz., 21:54, Virgil <vir...@ligriv.com> wrote:

> > The list is nothing but the union of all lines. The union of all lines
> > is the same as the sequence of all lines - without its limit.

>
> Actually, it is the the union of all lines that will contain any limit
> and the sequence of all lines which will not contain any limit.
>
> That sequence will HAVE a limit, but will not CONTAIN it, as every
> member of it is a FIS, and no FIS contains all other FISs.


You see that this sequence of lines does not contain its limit |N.
You assert, however, that the union of all lines contains the limit |
N.

You cannot explain that difference, because in this special example
union and sequence are the same infinite entity.

Regards, WM