I see a little Arostotle in that statement.
But then again, I am probably all wrong on him too. By saying there is a Prime Mover (or movus non movus as I was taught) but not saying that the Prime Mover is God, isn't that the same as saying what you said?
OT: An old post of mine to somewhere:
This is something of a misstatement of Penrose's position. The fundamental question is not whether *thought* is non-algorithmic, but whether *physics* is non-algorithmic; even Penrose believes that thought is something that takes place via physical processes in the brain, so if physics is Turing-computable, so is the brain, and hence so is thought.
Now I will grant that Penrose's efforts to prove the noncomputability of consciousness directly are somewhat strained. That's irrelevant here. The problem is that we don't know whether the physics of the real world -- quantum mechanics, that is -- is Turing-computable. But we do know that classical physics is *not* Turing-computable: it has been proven that a system of classical bodies can perform operations no Turing machine can emulate.
So the situation is that we don't know whether real physics is Turing-computable, but we know that the large-quantum-number approximation to real physics isn't Turing-computable, which lends at least some likelihood to the possibility that the real physics underlying the approximation isn't computable either.
Thus, the initial quoted statement from Arnautov -- "Unless you can demonstrate that human thought is non-algorithmic," etc. -- is almost exactly the reverse of reality. Unless you can either demonstrate that physics is algorithmic, or present an example of an algorithm that displays human-equivalent sentience, there is no reason at all to suppose that human thought *is* algorithmic. |