FOM: Two "New" Paradoxes.

[Kanovei]

>Date: Thu, 8 Jan 1998 10:25:37 -0500
>From: Robert S Tragesser <RTragesser at compuserve.com>
>[1] PARADOX 1:
>There are uncountably many finite cardinals.

You cannot pretend the process you described to be physical 
in any sense as the universe contains not enough particles 
to embrace inf. many sticks. Thus this is an *ideal* process, 
the course of which depends on the way how you consider 
details omitted in the description. If, for instance, you 
allow to enumerate the sticks by 1,2,3,... then after the first 
\omega moves you have everything in the cache and nothing 
in the string. You pretend that the sticks are identical: 
indeed they are identical but not equal. (Ref. controversies 
between early christians, on the 
philosophical difference  between those two notions.)

Vladimir Kanovei 

http://www.unipissing.ca/topology/h/a/a/a/33.htm