There are theorems because systems have relationships as well as
elements, from which arise emergent properties.
Grant
Russ Abbott wrote:
I have what probably seems like a strange question: why are there
theorems? A theorem is essentially a statement to the effect that
some domain is structured in a particular way. If the theorem is
interesting, the structure characterized by the theorem is hidden and
perhaps surprising. So the question is: why do so many structures
have hidden internal structures?
Take the natural numbers: 0, 1, 2, 3, 4, ... It seems so simple: just
one thing following another. Yet we have number theory, which is about
the structures hidden within the naturals. So the naturals aren't just
one thing following another. Why not? Why should there be any hidden
structure?
If something as simple as the naturals has inevitable hidden
structure, is there anything that doesn't? Is everything more complex
than it seems on its surface? If so, why is that? If not, what's a
good example of something that isn't.
-- Russ Abbott
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Professor, Computer Science
California State University, Los Angeles
cell: 310-621-3805
blog: http://russabbott.blogspot.com/
vita: http://sites.google.com/site/russabbott/
______________________________________
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============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org
============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org
