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Topic: infinity can't exist
Replies: 34   Last Post: Mar 16, 2013 9:31 PM

 Messages: [ Previous | Next ]
 Bart Goddard Posts: 1,706 Registered: 12/6/04
Re: infinity can't exist
Posted: Feb 12, 2013 1:24 PM

Craig Feinstein <cafeinst@msn.com> wrote in

> 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 indeterminate
form, and no said that the rules of finite arithmetic apply to
non-finite things. We invented limits to deal with non-finite things.

B.

Date Subject Author
2/12/13 Craig Feinstein
2/12/13 ben
2/12/13 ben
2/12/13 Frederick Williams
2/12/13 fom
2/12/13 Jesse F. Hughes
2/13/13 fom
2/13/13 Jesse F. Hughes
2/13/13 fom
2/13/13 Jesse F. Hughes
2/13/13 fom
2/13/13 Jesse F. Hughes
2/14/13 fom
2/15/13 Jesse F. Hughes
2/15/13 fom
2/12/13 Michael Stemper
2/14/13 Scott Berg
2/16/13 Wally W.
2/12/13 Bart Goddard
2/12/13 dan.ms.chaos@gmail.com
2/12/13 fom
2/13/13 dan.ms.chaos@gmail.com
2/13/13 dan.ms.chaos@gmail.com
2/12/13 Pfsszxt@aol.com
2/12/13 Bart Goddard
2/12/13 Frederick Williams
2/12/13 Virgil
2/14/13 Frederick Williams
2/15/13 Michael Stemper
2/14/13 Scott Berg
2/14/13 Michael Stemper
2/16/13 netzweltler
2/16/13 Virgil
3/16/13 Earle Jones
3/16/13 Virgil