Date: Apr 5, 2013 5:09 AM
Subject: Re: Matheology § 224
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. 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. Not to recognize it as such is madness. But it is
set theory. As such madness is a prerequisite of set theory.