Virgil
Posts:
8,833
Registered:
1/6/11


Re: infinity can't exist
Posted:
Feb 12, 2013 6:18 PM


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! 

