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this post was submitted on 18 May 2024
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chapotraphouse
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We can simulate a water molecule, does it make a turing machine then? Is single protein? A whole cell? 1000 cells in some invertebrate?
Simulation doesn’t work backwards, it’s not an implied equivalency of turing completeness for both directions. If brain is a turing machine we can map one to one it’s whole function to any existing turing machine, not simulate it with some degree of accuracy.
With automata, something that is turing complete can also do what all lower levels of automata can do. E.g. something that is a turing machine can function as a finite state machine, but it is not just a finite state machine. Likewise, a soul is capable of doing all computations a turing machine can do (this is indisbutably true, otherwise we'd have never been able to make computers in the first place), but it isn't just a turing machine.
Have you read Göedel, Escher, Bach? It's a cool book, I recommend it!