Accelerating Turing machines

Minds and Machines 12 (2):281-300 (2002)
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Abstract

Accelerating Turing machines are Turing machines of a sort able to perform tasks that are commonly regarded as impossible for Turing machines. For example, they can determine whether or not the decimal representation of contains n consecutive 7s, for any n; solve the Turing-machine halting problem; and decide the predicate calculus. Are accelerating Turing machines, then, logically impossible devices? I argue that they are not. There are implications concerning the nature of effective procedures and the theoretical limits of computability. Contrary to a recent paper by Bringsjord, Bello and Ferrucci, however, the concept of an accelerating Turing machine cannot be used to shove up Searle's Chinese room argument.

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Citations of this work

The Tractable Cognition Thesis.Iris Van Rooij - 2008 - Cognitive Science 32 (6):939-984.
Computation in physical systems.Gualtiero Piccinini - 2010 - Stanford Encyclopedia of Philosophy.
Hypercomputation.B. Jack Copeland - 2002 - Minds and Machines 12 (4):461-502.
The Physical Church–Turing Thesis: Modest or Bold?Gualtiero Piccinini - 2011 - British Journal for the Philosophy of Science 62 (4):733-769.

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References found in this work

Minds, brains, and programs.John Searle - 1980 - Behavioral and Brain Sciences 3 (3):417-57.
The Rediscovery of the Mind.John R. Searle - 1992 - MIT Press. Edited by Ned Block & Hilary Putnam.
Minds, Brains and Science.John R. Searle - 1984 - Cambridge: Harvard University Press.

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