On Tue, 12 Feb 2013 18:12:03 +0000 (UTC), Michael Stemper wrote:
>In article <email@example.com>, Craig Feinstein <firstname.lastname@example.org> writes: > >>Let's say I have a drawer of an infinite number of identical socks > >>Contents of drawer at time 0 =3D (Contents of drawer at time 1) plus (sock = >>taken out of drawer). >> >>Subtracting the equations, we get >> >>Nothing =3D sock taken out of drawer. >> >>This is false, so infinity cannot exist.=20 >> >>How does modern mathematics resolve this paradox? > >Modern mathematics does not claim that an infinite number of socks can >exist, and neither does modern physics. > >Although physics does not allow an infinite number of socks, it is easy >to see that if a very large number of socks was brought together, they would >collapse into a singularity. Your attempt to remove one of them would cause >you to pass through the Sock Event Horizon, at which time you would no longer >be able to remove any of them.
An interesting and creative scenario. Nicely done.
Though the number of sheep needed to make that many socks might collapse into a singularity first.