Date: Feb 12, 2013 1:24 PM
Author: Bart Goddard
Subject: Re: infinity can't exist
Craig Feinstein <cafeinst@msn.com> wrote in

news:13c1e093-ab86-45e6-9417-7526eb422a08@googlegroups.com:

> Let's say I have a drawer of an infinite number of identical socks at

> time zero. I take out one of the socks at time one. Then the contents

> of the drawer at time zero is identical to the contents of the drawer

> at time one, since all of the socks are identical and there are still

> an infinite number of them in the drawer at both times. But the

> contents of the drawer at time zero is also identical to the contents

> of the drawer at time one plus the sock that was taken out, since they

> are exactly the same material. So we have the equations:

>

> Contents of drawer at time 0 = Contents of drawer at time 1

> Contents of drawer at time 0 = (Contents of drawer at time 1) plus

> (sock taken out of drawer).

>

> Subtracting the equations, we get

>

> Nothing = sock taken out of drawer.

>

> This is false, so infinity cannot exist.

>

> How does modern mathematics resolve this paradox?

>

By means of limits. Infinity minus infinity is an indeterminate

form, and no said that the rules of finite arithmetic apply to

non-finite things. We invented limits to deal with non-finite things.

B.