"Craig Feinstein" <email@example.com> wrote in message news:firstname.lastname@example.org... >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?
1/0 = infinity
n/0 = infinity
1/0 = n/0
1 = n
read "Labyrinths of Reason" by Poundstone (best seller)