Salutatio Math!
08-Feb-98, Math Guy wrote to Joe Martin
          Subject: "Existence Exists"
 MG> Hello Joe.
 TH>>> No, its a logical contradiction. Either it's infinite or its
 TH>>> not.
 JM>> Infinity is essential unity.  In truth undefined.  Divide any
 JM>> undefined by two and the answer is still undefined, therefore,
 JM>> still infinite.
 JM>> You cannot add anything to an infinite number, nor can you
 JM>> subtract anything from it... it is undefined.  Neither can you
 JM>> divide it in half nor multiply it by 2 to double it.  If it is
 JM>> infinite, then it is a _unity_ ... completely self contained...
 JM>> yet undefined.
 MG> As a math guy, I have serious problems with what you are saying.
 MG> "Infinite" means "not finite".  Something is finite if it is in
 MG> one-to-one correspondence with one of the "finite" cardinal
 MG> numbers: 0,1,2,3, etc "Infinite" is thus defined.
No number is finite.  2 can be 2.00000001 or 1.999999 or 2.1 or 2.0001.
Infinity seems to be imbedded within the very existence of the universe.
To assume that the universe is finite, in light of so many infinities,
is not very logical.  I realize this is not exactly what you were 
talking about, but what the hey... just getting the jump on our other 
thread. 
 MG> There are (at least) two kinds of "infinite numbers" that have
 MG> been defined. Infinite ordinals and infinite cardinals.  In each
 MG> case, you can indeed add another number to such an infinite number
           
Demonstrate please? 
 MG> I recommend that you jettison the word "undefined" in much of your
 MG> consideration of "infinite".  I'm not even going to touch that
 MG> "unity" bit   
Why not?  I think he needs a real challenge.  Remember he has been 
dealing with boneheads for the last while, so he may be a little 
rusty. 
 Dicere...
 email address (vrmeic@spots.ab.ca) 
Richard Meic
--- Terminate 5.00/Pro 
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