Date: Mar 21, 2013 6:26 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 224
On 21 Mrz., 09:14, Virgil <vir...@ligriv.com> wrote:

> While induction can certainly prove that no finite set of lines is

> sufficient, it cannot prove that an infinite set of lines cannot be

> sufficient,

It can prove that no finite line and no set of finite lines is

sufficient. Induction holds for every line of the list.

> because some infinite sets of lines clearly ARE sufficient,

> the set of all lines, for example, is both infinite and sufficient.

Ah so, "they clearly are".

Contemplate this parallel claim:

An infinite set of natural numbers clearly contains an infinite

number. Therefore infinite set of natural numbers clearly are

containing infinite numbers.

Regards, WM