```Date: Feb 12, 2013 1:24 PM
Author: Bart Goddard
Subject: Re: infinity can't exist

Craig Feinstein <cafeinst@msn.com> wrote innews: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 indeterminateform, and no said that the rules of finite arithmetic apply tonon-finite things.  We invented limits to deal with non-finite things.B.
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