>
>Relatif Tuinn wrote to Nick Douglas about Infinity
 RT> Wrong. There are half as many even numbers as there are integers.
 
 Can you prove this?  
 ND> But there are two
 ND> integers for every even number!
 RT> Indeed. Which makes your above claim, that the set of all even numbers
 RT> is the same size as the set of all integers, a total nonsense. 
 RT> Relatif Tuinn
 In fact, it's un-mathematical for one to try to differentiate.  Even
 if the set of even numbers is half as much as the set of whole integers,
 when either one of them reference the term "infinity" they both mean
 precisely the same thing, and are handled mathematically, in precisely
 the same way - therefore, they are equivalent mathmatically and for all
 practical purposes.  Here is the proof.
 
1)  ((Infinity MOD 2) = 0)  = (0.5 * Infinity)  
 
2)  (0.5 * Infinity) = Infinity, so also, 
3)  ((Infinity MOD 1) = 0)  = Infinity  , therefore:
 
4)  ((Infinity MOD 2) = 0) minus ((Infinity MOD 1) = 0) = 0
 
 They are equivalent terms.
 
 
 
 
 
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