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On Mar 7, 12:02*pm, "Jonathan" wrote:
"tension_on_the_wire" wrote in message ... On Mar 4, 7:40 pm, "Jonathan" wrote: To the very core, it's randomness that is the source of all Creation. After all, a totally disordered or random system has as it's future only one possible direction, towards more order. As is shown in the study of random boolean networks. I'm afraid your basic premise is incorrect. *The system to which you are assigning a random state is one made of atoms. From a reductionist frame of reference that would be correct, all of what you say is correct. But as I said at the start, I was talking about a system perspective. Where order and disorder are defined relative the....output of the system, it's global behavior. Not from the part or component properties. So from a system perspective order and chaos, or simple vs complex has an entirely different meaning. You're still using a linear perspective where order vs complexity is measured, say, on a sliding scale from zero to infinity A non-linear frame would call complex the place where simple and chaotic behavior transitions from one to the other. Such as the very narrow temp range where water is transitioning to vapor. That is the highest level of complexity, at that transition point. Either opposite possibility, water /or/ vapor, is considered simple by comparison to the behavior /at/ the point the system changes state. *This is because at the transition point the behavior is a combination of the two states of matter, requiring both fields of science at once to describe the whole. Once on either side of the transition, only one field is needed so to speak. So simplicity is found in either the static or chaotic realms, and complexity is found when the system is equally dominated by both types of behavior....at...the transition point from simple to chaotic. It's at this very narrow transition point where spontaneous order emerges.. Requiring a system pushed far from equilibrium, just far enough to persistently reside near this delicate phase transition. And pushed usually by random interactions from outside systems. This narrow transition point is commonly called the Edge of Chaos. Perturbation and Transients - The Edge of Chaoshttp://www.calresco.org/perturb.htm Attractors everywhere - Order from Chaoshttp://www.calresco.org/attract.htm linear frame of reference (part perspective) order(simple) * * * * * * * * * * * * * * * * * *chaotic(complex) * * * * * 0 ---------------- * * ------------ Infinity in a non-linear frame of reference (system perspective) becomes * * * * * * 0---------- * * * * infinity * * * * * * * ------- * 0 * * * * * *simple------ * * * *complex * * * * * *---------simple * * * * * *static ------- * * * *dynamic * * * * * *--------chaotic * * * * * *solid ------- * * * * liquid * * * * * * * *--------- gas * * * classical motion * *thermodynamics * * *quantum motion So in this view the highest level of complexity is at the point where the system is a combination of both behaviors or states. And also at it's lowest ability to quantify. At the edge. where both classical and quantum like behaviors are entangled. *When it comes to order and chaos, atoms tend to follow the laws of thermodynamics, not the behavior of random boolean networks. Well, again you're right, but boolean networks describe the behavior of the ...output... of complex adaptive systems, of which thermodynamics is but the simplest example. "A Boolean network has 2N possible states. Sooner or later it will reach a previously visited state, and thus, since the dynamics are deterministic, fall into an attractor."http://en.wikipedia.org/wiki/Boolean_network An attractor, meaning cyclic behavior, spontaneously emerges. Cyclic behavior is a greater level of order than totally random. *And the laws of thermodynamics are pretty clear about the fact that order begets chaos in closed systems, and it is irrelevant whether you are examining very small molecular systems or those of great big astronomical bodies. The concept of absolute zero, in heat measurement, describes exactly what happens in a closed system which is allowed to run down to total chaos and zero order. *Those systems do not reassemble themselves spontaneously into ordered systems. But your closed system with zero order is my static attractor. Which could be described like spinning a ball inside a bowl. Sooner or later it comes to rest at the bottom, this is also called subcritical behavior. As opposed to supercritical behavior like a gas dissipating. Or as in gravity vs cosmic expansion. Show me at least one example where this is not the case and I'll be happy to retract. How many examples do you want? When a static system finds itself in an unstable equilibrium (complex) relationship with its chaotic attractor. Then often a third type of behavior spontaneously emerges, called dynamic. As in... * * solid * * * * * * * * * * * *liquid * * * * * * * * gas * * * * * * * * static * * * * * * * * * *dynamic * * * * * * * chaotic * * * * * * *particle motion * * thermodynamics * * quantum motion * * * * * * * *rule of law * * * * * *democracy * * * * *freedom * * * * * * * * *genetics * * * * * * natural selection * * *mutation * * * * * * * *knowledge * * * * * * genius * * * * * * * * imagination * * * * * * * * producer * * * * * * * market * * * * * * * consumer * * * * * * * * *science * * * * * * * * *art * * * * * * * * * * religion * * * * * * * * *matter * * * * * * * * * *light * * * * * * * * *energy * * * * * * pre-invasion Iraq * * democratic Iraq * * *post-invasion Iraq When a system is dominated by /either/ the static or chaotic attractor, it's behavior is short lived and tragic. But, as boolean networks show, and as any good intuition knows, these opposites tend to attract each other ..they cross paths.. sooner or later. Then life has it's chance. The middle or complex dynamic realms are all emergent. They are all spontaneous creations of the combination of static and chaotic system behavior. *Or edge states. You see, a non linear frame of reference provides the essential ability to describe.....every discipline...within a single mathematics. Even the disciplines or art and religion are now under the gun of modern mathematics. Once you learn the universal frame of reference of complexity science. And you know what, suddenly the commonalties among all the countless disciplines become easy to see. There is a simplicity to our reality that can't be seen from a reductionist or from the input side of reality. You have to inverse the initial frame of our scientific method, and /start with the output/ of the whole. I've read your last two posts carefully, and you are making some useful if obvious observations. However, would it not also follow by your reasoning that the most fertile ground for further progress lies at the interface between the reductionist and holistic paradigms, rather than in one or the other? Just trying to follow your teachings.....:-) -tg For instance, the behavior or output of life tends to follow power law relationships, which in essence is really just another inverse-square law.. It's not a coincidence that fitness peak look a lot like gravity wells. Life is no more a fluke than a black hole. Dynamics of Complex Systems Full online texthttp://necsi.org/publications/dcs/ --tension |
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