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The Relationship of Mathematics and Arithmetic to Physics
If stock markets are also substrate independent and open to a functionalist definition, then doesn't that play the same kind of havoc with reduction? No, no, not really because if you give afunctionalist definition of the sort you're thinking of still that's in a way substrate independent. The question of the relation of mathematics or arithmetic to physics seems to be quite different. So, my view about that is what's called Platonism, that is that the mathematical realm is independent of the physical realm entirely in a way that stock markets aren't.