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Well clearly the brain isn't infinite, but nor is any Turing Machine we implement. When we say something like C is Turing complete, we don't mean that any corre
by barrkel 10y ago
Well clearly the brain isn't infinite, but nor is any Turing Machine we implement. When we say something like C is Turing complete, we don't mean that any correct implementation can compute what a TM can compute, because no implementation is finite. Eventually both the stack will be exhausted and malloc() will fail; there's a finite amount of state available on any concrete hardware.
My point being that that seems to be such a trivially true statement - conveying no information - so that we must understand the sentence to mean something else; that it can compute what a TM can compute, up to some arbitrary limit related to available state. So, would you say that the brain isn't Turing complete either?