```Date: Feb 12, 2013 6:18 PM
Author: Virgil
Subject: Re: infinity can't exist

In article <511AB48E.1B86E33A@btinternet.com>, Frederick Williams <freddywilliams@btinternet.com> wrote:> Craig Feinstein 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?> > If alpha - 1 is defined to be that beta such that alpha = beta + 1, then> aleph_0 - 1 = aleph_0.Works for me!--
```