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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A (related) example is the emergence of fractionally-charged quasiparticles in fractional quantum Hall systems: https://en.wikipedia.org/wiki/Fractional_quantum_Hall_effect … It feels very much like something out of nothing.
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Clearly there's a cognitive disconnect here with regards to how complexity emerges. You don't need to have a complex system to have emergent complex behavior. This should not be a surprise to anyone. This is the very philosophy of connectionism.
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I think we need to agree on a definition of "complexity" to move this interesting discussion forward.
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