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Functionalism's explanation of consciousness, or the mental, is best understood when considering the analogy made by functionalists between the mind and the modern digital computer. More specifically, the analogy is made to a "machine" that the Church-Turing thesis posits as capable in principle of computing any given algorithm (i.e. as having the capabilites of a Turing machine). This machine would involve:
This variety of functionalism was developed by Hilary Putnam. One of the major proponents of functionalism is Jerry Fodor.
Curiously, Putnam is also responsible for the Twin Earth thought experiment which was initially intended as an argument against the internalism of word meanings; that is, meanings deriving, at least partially, from inside the mind. Some take the experiment as decisively defeating functionalism. The experiment is simple and runs as follows. Imagine a Twin Earth which is identical to Earth in every way but one: water is not H20, it's a substance XYZ. So you and your Twin Earth Doppelganger see exactly the same things, meet exactly the same people, have exactly the same jobs, and behave exactly the same way. In other words, you share the same inputs and outputs. There's one crucial difference. You know (or at least believe, if we wish to make a weaker claim) that water is H20. Your Doppelganger knows that water is XYZ. Therefore, you differ in mental states though the causal properties that define your mental states are identical.
Various counter-arguments are offered by most prominently Kripke. But what's most obviously in question is whether you and your Doppelganger really do share the same inputs, since somewhere along the way, you learned that water is H20 (by a someone telling you), and your Doppelganger learned that water is XYZ. Thus, you've had different experiences constituting different inputs. Hence, the both of you are not really functionally identical. This kind of modal argument can be rephrased more eloquently and in such a way that it's difficult, if not unreasonable, to say that you and your Doppelganger are in fact not functionally identical.