Quote:
Originally Posted by HenrikOlsen
and then comes along deterministic chaos which shows that even for completely deterministic systems you need knowledge of the complete state to predict, which means you can't predict reliably with anything simpler that the system being predicted.
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Actually what it says is that you need PERFECT knowledge of the state to predict very far into the future with any sort of acceptable accuracy. You need complete knowledge of the state to predict the behavior of a dynamical system even without any notion of chaos. Basically chaotic systems are those for which the trajectory in state space is not a continuous function of the initial data -- this is a bit oversimplified and imprecise but it gets the idea across.