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Posts Tagged ‘Chaos’

The result of a mathematical development should be continuously checked against one’s own intuition about what constitutes reasonable biological behavior.  When such a check reveals disagreement, then the following possibilities must be considered:
a.) A mistake has been made in the formal mathematical development;
b.) The starting assumptions are incorrect and/or constitute a too drastic oversimplification;
c.) One’s own intuition about the biological field is inadequately developed;
d.) A penetrating new principle has been discovered.
   —  Harvey J. Gold
From his book: “Mathematical Modeling of Biological Systems
  —  As quoted by James Gleick
In his book: “Chaos: Making A New Science
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On This Day In:
2015 Limiting Choices
2014 Praise The Lord And Pass The Hypocrisy
That Sound
2013 Still Waiting For Answers
2012 Informal Leadership
2011 A Little More Progress
2010 Bec’s Gone Again…

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But if chaos teaches physicists that the truly simple can nevertheless look complicated, the critical state teaches them that the truly complicated can behave in ways that are remarkably simple.  … The basic organization of any substance poised in the critical state between two phases depends very little on the precise nature of the elements involved.  There is a profound universality at work, which makes it possible to understand literally thousands of utterly different collectives in terms of simple mathematical games that share the same skeletal logic.
… One of the deepest discoveries in physics of the past two decades is that in nonequilibrium systems the critical state often arises on its own.
… It does not seem normal and lawlike for long periods of calm to be suddenly and sporadically shattered by cataclysm, and yet it is.  This is, it seems, the ubiquitous character of the world.
  —  Mark Buchanan
From his book: “Ubiquity
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On This Day In:
2014 Dawn, n.
2013 Ouch!
2012 Just Lookin’ Around
Still Growing
2011 But Do You Want To?

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Cosmos is a Greek word for the order of the universe.  It is, in a way, the opposite of Chaos.  It implies the deep interconnectedness of all things.  It conveys awe for the intricate and subtle way in which the universe is put together.
  ―  Carl Sagan
From his TV Show: “Cosmos
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On This Day In:
2013 Attention To Detail
2012 Aequanimitas!
2011 Consider This

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