Abstract
To clarify the notion of computation and its role in cognitive science, we need an account of implementation, the nexus between abstract computations and physical systems. I provide such an account, based on the idea that a physical system implements a computation if the causal structure of the system mirrors the formal structure of the computation. The account is developed for the class of combinatorial-state automata, but is sufficiently general to cover all other discrete computational formalisms. The implementation relation is non-vacuous, so that criticisms by Searle and others fail. This account of computation can be extended to justify the foundational role of computation in artificial intelligence and cognitive science.
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References
Chalmers, D. J. (forthcoming), ‘Does a Rock Implement Every Finite-state Automaton?”Synthese.
Chalmers, D. J. (1994), ‘A Computational Foundation for the Study of Cognition’, Philosophy-Neuroscience-Psychology Technical Report 94–03, Washington University.
Dretske, F. (1981),Knowledge and the Flow of Information, MIT Press.
Fodor, J. A. (1987),Psychosemantics: The Problem of Meaning in the Philosophy of Mind, MIT Press.
Haugeland, J. (1985),Artificial intelligence: The Very Idea. MIT Press.
Putnam, H. (1967), ‘The Nature of Mental States’, in W.H. Capitan and D.D. Merrill (eds.),Art, Mind, and Religion, University of Pittsburgh Press.
Putnam, H. (1988),Representation and Reality, MIT Press.
Pylyshyn, Z. W. (1984),Computation and Cognition: Toward a Foundation for Cognitive Science, MIT Press.
Searle, J. R. (1980), ‘Minds, Brains and Programs’,Behavioral and Brain Science 3, 417–57.
Searle, J. R. (1990), ‘Is the Brain a Digital Computer?’,Proceedings and Addresses of the American Philosophical Association 64, 21–37.
Searle, J. R. (1991),The Rediscovery of the Mind, MIT Press.
Turing, A. M. (1936), ‘On Computable Numbers, with the Application to the Entscheidungsproblem’,Proceedings of the London Mathematical Society, Series 2 42, 230–65.
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Chalmers, D.J. On implementing a computation. Mind Mach 4, 391–402 (1994). https://doi.org/10.1007/BF00974166
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DOI: https://doi.org/10.1007/BF00974166