Date: Apr 5, 2013 4:44 PM
Author: Virgil
Subject: Re: Matheology � 224

In article 
<00abe5fe-426e-4842-882c-a0ea26855736@m1g2000vbe.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 4 Apr., 23:08, William Hughes <wpihug...@gmail.com> wrote:
>

> > Nope.  Any single element can be removed.  This does not
> > mean the collection of all elements can be removed.

>
> You conceded that any finite set of lines could be removed. What is
> the set of lines that contains any finite set? Can it be finite? No.
> So the set of lines that can be removed form an infinite set.


A necessary and sufficient condition on the set of FISONs needed in a
set of FISONs to have its union equal to |N is that the set of FISONs be
infinite.

WM's futile attempts to imply otherwise cannot be valid outside of
WOLKENMUEKENHEIM, and are probably not valid inside it either.



> Now you
> will claim, that not all finite lines (of this infinite set that
> contains only finite lines that can be removed) can be removed. This
> is a contradiction.


When WM claims that all finite lines (FISONs) can be removed from a set
all of whose members are FISONs, and NOT result in the empty set, now
THAT is a contradiction anywhere, even in the weirdness of
WOLKENMUEKENHEIM.
--