Simple rules can generate great complexity. But that complexity only arises when you execute the rules. To do so, you need a physical computer -- a CPU, a brain -- of great complexity. No free lunch.
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Maybe this is sophistic, but it's a fun hypothesis when applied to the universe: however simple the laws of physics may turn out to be, whatever system is executing them (bringing the universe into existence) must have greater complexity than the output universe
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I suspect there's a major problem with what you just wrote, but I will give you the benefit of the doubt that you worded something incorrectly. A counter example, you can get great complexity out of turbulent liquid flow. This is from a system that follows simple rules.
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Or the complex behaviour of the logistic map, that is encoded in that one simple rule, and is there regardless of the complexity of the hardware you use to "calculate" it with.
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Alternatively, is it that the complexity in the structure (of the rules) is expressed when energy is applied from outside (with energy ultimately emanating from the supernatural)?
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Complexity arises out of simplicity + scale.
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+ initial and boundary conditions
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@seanmcarroll has a great explanation of how complexity arises from the transition from low to high entropy states. Key question remains why we started with such low entropy? https://youtu.be/MTFY0H4EZx4Thanks. Twitter will use this to make your timeline better. UndoUndo
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