Grant Holland wrote  circa 04/25/2010 05:42 AM:
> Thus the need for theorems arises due to a system having relationships
> among its components. And we haven't even mentioned emergent properties yet!

But I think Nick's answer is relevant to this point, as well.  Even in a
seemingly a priori discrete system like that of the natural numbers,
"components" are psychologically induced, not necessarily embedded in
the system.  Beyond the original discrete set, all the other constructs
built on top are part component and part relation, depending on your
(psychological) perspective.

-- 
glen e. p. ropella, 971-222-9095, http://agent-based-modeling.com


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