Date: Apr 5, 2013 6:08 AM
Author: William Hughes
Subject: Re: Matheology § 224

On Apr 5, 11:09 am, WM <> wrote:
> On 4 Apr., 23:08, William Hughes <> 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.

More precisely. There is an infinite set of lines D
such that any finite subset of D can be removed.

This does not imply that D can be removed.

It does however imply that there is no single element
of D that cannot be removed. That this does not
imply that D can be removed is a result that
you do not like, but it is not a contradiction.