Date: Apr 5, 2013 6:08 AM
Author: William Hughes
Subject: Re: Matheology § 224
On Apr 5, 11:09 am, WM <mueck...@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.

correct

> 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.