From: Jurriaan Bendien (adsl675281@telfort.nl)
Date: Thu May 01 2008 - 08:32:12 EDT
In my view, chaotic systems strictly speaking do not exist, because they are not systems. A necessary condition for a system to exist, is that operates according to ordering principles which enables us to understand it as a system. If there is only chaos, there is no system. A "chaotic system" is therefore specifiable only in the sense of a system which combines some determinacy with some indeterminacy. As Marx would say, the surface appearance is chaos, the essence is a (hidden) order which reveals itself only a certain moments (if it did not do so, there would be no evidence for the essence at all and Karl Popper would be right in his critiques of essentialism; we would not even know there was something hidden - in this sense, Roy Bashkar's "transcendental realism" is strictly a metaphysical ideology, not science). If a system is "completely determined by its laws of motion and boundary conditions" as you say, it must be possible to predict its future state. Abstractly, there are at least two sorts of counterarguments to this: 1) Complexity: a system is connected to many other systems in a complex concatenation of cause and effect. But if the system is not selfsufficient in essential respects, we cannot even mark it out as a system. 2) Fragility: a system does have an ordered pattern enabling some prediction, but in response to events, that order might very rapidly change qualitatively, or mutate into a different order, or collapse. We then might get a very rapid succession of different ordered systems across time. Let's not make "chaotic systems" into a subterfuge, so that if it suits our argument there is "system" and if it doesn't there is "chaos". Let us instead try to understand the real dialectic of events, as good Marxian scholars can, acknowledging with Hegel that "in all necessity there is an element of the coincidental". Jurriaan _______________________________________________ ope mailing list ope@lists.csuchico.edu https://lists.csuchico.edu/mailman/listinfo/ope
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