Thread: Chaos Theory
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Old 10-04-2011, 03:24 PM
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CraigS
Unpredictable

CraigS is offline
 
Join Date: Jul 2010
Location: Australia
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Coming back to Chaos, another very interesting observation about it all, is that both order and disorder can emerge within the very same system defined by the same simple 'rule sets'.

Moving further into this, there are some very interesting gems about it all in Wiki:

Quote:
Chaos is sometimes viewed as extremely complicated information, rather than as an absence of order. The point is that chaos remains deterministic. With perfect knowledge of the initial conditions and of the context of an action, the course of this action can be predicted in chaos theory.
This would seem to support Bert's assertion that, for example, life can emerge wherever the exact same conditions exist.

I counter with: 'Why view life as the part that will recur ? Can nothing recur multiple times over, given the exact same conditions ? .. This is also supportable if we don't have a really strong handle on exactly what those initial conditions are/were.
(After all, it is also assured that the outcomes are entirely unpredictable).

Moving on …

Quote:
Complexity is non-deterministic, and gives no way whatsoever to precisely predict the future. The emergence of complexity theory shows a domain between deterministic order and randomness which is complex.

Complexity is the opposite of the study of chaos. Complexity is about how a huge number of extremely complicated and dynamic sets of relationships can generate some simple behavioural patterns, whereas chaotic behaviour, in the sense of deterministic chaos, is the result of a relatively small number of non-linear interactions.

Therefore, the main difference between chaotic systems and complex systems, is their history. Chaotic systems do not rely on their history as complex ones do. They evolve at a critical state built up by a history of irreversible and unexpected events. In a sense chaotic systems can be regarded as a subset of complex systems, distinguished precisely by this absence of historical dependence.
So, there is a fundamental difference between Chaos and Complexity.

These documentaries rarely explain the difference between the two.

Understanding the distinctions between Chaos and Complexity is a major challenge for me. The above words help, but I'm more than happy to admit that its a struggle to visualise the differences.

Cheers
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