Date: Apr 2, 2013 4:39 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 224

On 1 Apr., 15:30, William Hughes <wpihug...@gmail.com> wrote:
> The number of things Induction works for is infinite.
>
> Each of these things is finite.
>
> You can use induction to show that
> if you remove a finite thing
> then the union of all lines does not change.
>
> You cannot use induction to show that if you
> remove an infinite thing then the union
> of all lines does not change.


How do you use to call nonsense? Piffle?

WH: "The number of things Induction works for is infinite."
Therefore induction works for all finite numbers and here for all
finite lines.

> You can only have no lines left if you
> remove an infinite thing.


Piffle. It is sufficient, and possible by induction, to remove every
finite thing, namely every finite line.

Regards, WM