0rthodontist
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An implementation of addition is not sufficient to make a general-purpose computer. You also need multiplication. Before Godel, someone proved that a system of arithmetic that included only addition and not multiplication was actually logically complete.-Job- said:If consciousness arises uniquely out of physical interactions of matter, then the system of interactions producing consciousness ought to be describable by mathematics. This would mean that any physical system implementing and behaving according to that mathematical specification ought to be conscious as well. Possibly there are many ways to produce consciousness.
Computer algorithms can examplify this. Algorithms are equivalent to mathematical functions. You don't need the traditional computer to run an algorithm. If you have an algorithm performing addition of two numbers, then you could implement it with a network of water channels for example. Imagine a device where you pour a certain amount of water at the top, the water is distributed through the network of tubes (which implement the algorithm) and comes out at the bottom perhaps filling 10 cups with water, the amount of water representing a value (possibly empty=0, not-empty=1), thus encoding the sum of the two numbers in binary.
Similarly, if we were to find out the process by which consciousness is produced, we could model its behavior with an algorithm and implement it in almost any "device". This is assuming there isn't anything preventing this, like some weird quantum effect for example.