Thanks for that Bert. Summary of the doco follows:
So what we have here follows on from Alan Turing’s, (see post 30), previous theories leading to his publication of his work called ‘The Chemical Basis of Morphogenesis’. Morphogenesis is the biological process that causes an organism to develop its shape.
This leads to the observation that shapes in nature are irregular and unpredicatable. But how can this be if Newtonian Physics is all about predicting nature’s behaviour with certainty?
The tiniest difference in initial conditions can dramatically alter the outcomes of a system defined by simple, deterministic, mathematical equations and result in indeterminate behaviours. (The Butterfly Effect).
Its all dependent on feedback. In nature, the environment provides the feedback mechanism.
Pattern formation: enter Mandlebrot and fractal geometry .. self-similarity .. complex systems following simple rules can spontaneously generate complex patterns or organisms (like humans).
The culmination of this documentary is summed up as:
Quote:
Unthinking simple rules have the power to create amazing complex systems without any conscious thought.
Spontaneous pattern creation is inherently unpredictable and we have no idea of what the future holds.
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The combination of Evolution + Complexity + Timescale results in extremely complex systems .. like human beings and all the way up to the complexity we see looking through our telescopes.
It all has mathematical foundations (and proofs) all originating from Georg Cantor's original deliberations on the concept of Infinity.
I am left with a deep concern for those who pass judgement on theoretical mathematics and physics on the basis of superficial queries such as:
"Whatever happened to the simplest solution is best ?"
Cheers