Date: Oct 24, 2011 4:24 AM
Author: SPQR
Subject: Re: A definition of an infinity, perhaps!?

In article 
<1b5fb1b7-3b8b-4696-b46b-4f66da32d277@gy7g2000vbb.googlegroups.com>,
 WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 24 Okt., 00:05, SPQR <S...@roman.gov> wrote:
> 
> > Each finite diagonal contains as subsets all previous diagonals.
> 
> Each finite line contains as subsets all previous lines.



Lines require element duplication, so one has essentially a new copy of 
all old elements in each new line.

Each finite diagonal contains as elements all previous elements in their 
original positions without having to move or duplicate anything.