Date: Mar 13, 2013 12:59 PM
Author: William Hughes
Subject: Re: Matheology § 222 Back to the roots
On Mar 13, 5:37 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

> On 13 Mrz., 13:19, William Hughes <wpihug...@gmail.com> wrote:

<snip>

> > If you wish to contest this, use my words not

> > yours (e.g. I have never said "The list contains more

> > numbers than fit into a single line", I have said

> > "There is no line in the list which contains every

> > number in the list".)

>

> Correct. The list has more numbers than a single line has. Since every

> number that is in the list, must be in at least one line, this implies

> that the numbers are in more than one line.

To be precise, a set of lines, say K, that contains all the numbers

contains at least two lines. However, this does *not* imply that

there are two numbers that are not in a single line.

Nor does it imply that there is a necessary line in K.

Note that a sufficient set does not imply a necessary line

even in potential infinity. There is no line that is needed

to make L have an unfindable last line.