Date: Mar 16, 2013 9:07 PM
Author: Earle Jones
Subject: Re: infinity can't exist
In article <firstname.lastname@example.org>,
Craig Feinstein <email@example.com> wrote:
> 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?
Let k = the number of numbers.
Let q = the number of even numbers.
Which is larger, k or q?