Is the human mind a Turing machine?

Synthese 108 (3):379-89 (1996)
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Abstract

  In this paper I discuss the topics of mechanism and algorithmicity. I emphasise that a characterisation of algorithmicity such as the Turing machine is iterative; and I argue that if the human mind can solve problems that no Turing machine can, the mind must depend on some non-iterative principle — in fact, Cantor's second principle of generation, a principle of the actual infinite rather than the potential infinite of Turing machines. But as there has been theorisation that all physical systems can be represented by Turing machines, I investigate claims that seem to contradict this: specifically, claims that there are noncomputable phenomena. One conclusion I reach is that if it is believed that the human mind is more than a Turing machine, a belief in a kind of Cartesian dualist gulf between the mental and the physical is concomitant

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References found in this work

The emperor’s new mind.Roger Penrose - 1989 - Oxford University Press.
Critique of pure reason.Immanuel Kant - 2007 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Late modern philosophy: essential readings with commentary. Oxford: Wiley-Blackwell. pp. 449-451.
On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
Critique of Pure Reason.Immanuel Kant - 1781 - Mineola, New York: Macmillan Company. Edited by J. M. D. Meiklejohn.

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