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