Abstract
What is computation? This question may seem, at a first glimpse, trivial and uninteresting. There has already been a long discussion about this subject back in the mid-twentieth century. The discussion produced many extensionally equivalent models of computation, such as Turing machines, lambda calculus, cellular automata, Post machines and recursive functions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aizawa, K.: Computation in cognitive science: it is not all about Turing-equivalent computation. Studies in History and Philosophy of Science Part A 41(3), 227–236 (2010), doi:10.1016/j.shpsa.2010.07.013
Bechtel, W.: Representations and cognitive explanations: Assessing the dynamicist’s challenge in cognitive science. Cognitive Science 22(3), 295–317 (1998), doi:10.1016/S0364-0213(99)80042-1
Bell, P., Staines, P.J., Michell, J.: Evaluating, doing and writing research in psychology: a step-by-step guide for students. SAGE Publications, London (2001)
Block, N.: Mental Pictures and Cognitive Science. The Philosophical Review 92(4), 499–541 (1983)
Boden, M.A.: Odd man out: Reply to reviewers. Artificial Intelligence 172(18), 1944–1964 (2008), doi:10.1016/j.artint.2008.07.003
Chalmers, D.J.: On implementing a computation. Minds and Machines 4(4), 391–402 (1994), doi:10.1007/BF00974166
Chalmers, D.J.: A computational foundation for the study of cognition. Journal of Cognitive Science 12(4), 323–357 (2011)
Chomsky, N.: Aspects of the theory of syntax. MIT Press, Cambridge (1969)
Chomsky, N.: Language and interpretation: philosophical reflections and empirical inquiry. In: Earman, J. (ed.) Inference, Explanation, and Other Frustrations: Essays in the Philosophy of Science, pp. 99–128. University of California Press, Berkeley (1992)
Cleeremans, A.: Computational correlates of consciousness. In: Laureys, S. (ed.) Progress in Brain Research, vol. 150, pp. 81–98. Elsevier (2005)
Copeland, B.J.: What is computation? Synthese 108(3), 335–359 (1996), doi:10.1007/BF00413693
Cummins, R., Poirier, P.: Representation and indication. In: Clapin, H., Staines, P.J., Slezak, P. (eds.) Representation in Mind: New Approaches to Mental Representation, pp. 21–40. Elsevier, Amsterdam (2004)
Decety, J., Lamm, C.: The Role of the Right Temporoparietal Junction in Social Interaction: How Low-Level Computational Processes Contribute to Meta-Cognition. The Neuroscientist 13(6), 580–593 (2007), doi:10.1177/1073858407304654
Dennett, D.C.: Consciousness explained. Penguin, London (1991), http://www.contentreserve.com/TitleInfo.asp?ID=23263F30-47C3-4241-B653-E61C277EECCA&Format=410 (retrieved)
Dennett, D.C.: Brainchildren: essays on designing minds. MIT Press, Cambridge (1998)
Dretske, F.I.: Knowledge & the flow of information. MIT Press, Cambridge (1981)
Dretske, F.I.: Explaining behavior: reasons in a world of causes. MIT Press, Cambridge (1988)
Egan, F.: Computation and Content. The Philosophical Review 104(2), 181–203 (1995), doi:10.2307/2185977
Egan, F.: Two kinds of representational contents for cognitive theorizing. Presented at the Philosophy and the Brain Conference 2011, The Institute for Advanced Studies, The Hebrew University of Jerusalem, Israel (2011), https://sites.google.com/site/philosophybrainias2011/home/conference-papers-1/Egan-TwoKindsofRepContent.pdf?attredirects=0&d=1 (retrieved)
Fodor, J.A.: The language of thought. Harvard University Press, Cambridge (1975)
Fodor, J.A.: Methodological solipsism considered as a research strategy in cognitive psychology. Behavioral and Brain Sciences 3(01), 63 (1980), doi:10.1017/S0140525X00001771
Fodor, J.A.: The mind-body problem. Scientific American 244, 114–125 (1981)
Fodor, J.A., Pylyshyn, Z.W.: Connectionism and cognitive architecture: A critical analysis. Cognition 28(1-2), 3–71 (1988), doi:10.1016/0010-0277(88)90031-5
Ford, K.W.: 101 quantum questions: what you need to know about the world you can’t see. Harvard University Press, Cambridge (2011)
Fredkin, E.: Finite nature. In: Proceedings of the XXVIIth Rencontre de Moriond Series (1992)
Fresco, N., Staines, P.: A Revised Attack on Computational Ontology. Minds and Machines (forthcoming), doi: 10.1007/s11023-013-9327-1
Gandy, R.: Church’s Thesis and Principles for Mechanisms. In: The Kleene Symposium, pp. 123–148. North-Holland (1980)
Gurevich, Y.: Interactive Algorithms 2005. In: Jedrzejowicz, J., Szepietowski, A. (eds.) MFCS 2005. LNCS, vol. 3618, pp. 26–38. Springer, Heidelberg (2005)
Harnish, R.M.: Minds, brains, computers: an historical introduction to the foundations of cognitive science. Blackwell Publishers, Malden (2002)
Haugeland, J.: Artificial intelligence: the very idea. MIT Press, Cambridge (1985)
Israel, D.: Reflections on Gödel’s and Gandy’s Reflections on Turing’s Thesis. Minds and Machines 12(2), 181–201 (2002), doi:10.1023/A:1015634729532
Joshi, K.D.: Foundations of discrete mathematics. Wiley, Wiley Eastern Ltd., New York, New Delhi (1989)
Karp, R.M.: Reducibility Among Combinatorial Problems. In: Miller, R.E., Thatcher, J.W. (eds.) Proceedings of a Symposium on the Complexity of Computer Computations, The IBM Thomas J. Watson Research Center, Yorktown Heights, New York. Plenum Press, New York (1972)
Kellogg, R.T.: Fundamentals of cognitive psychology, 2nd edn. SAGE, Thousand Oaks (2012)
Kleene, S.C.: Mathematical logic, Dover (ed.). Dover Publications, Mineola (2002)
Lewis, D.: What experience teaches. In: Ludlow, P., Nagasawa, Y., Stoljar, D. (eds.) There’s Something About Mary: Essays on Phenomenal Consciousness and Frank Jackson’s Knowledge Argument, pp. 77–103. MIT Press, Cambridge (2004)
Lloyd, S.: Programming the universe: a quantum computer scientist takes on the cosmos. Knopf, New York (2006)
Longo, G.: Critique of computational reason in the natural sciences. In: Gelenbe, E., Kahane, J.-P. (eds.) Fundamental Concepts in Computer Science, vol. 3, pp. 43–70. Imperial College Press, London (2009)
MacLennan, B.J.: Field computation in natural and artificial intelligence. Information Sciences 119(1-2), 73–89 (1999), doi:10.1016/S0020-0255(99)00053-5
MacLennan, B.J.: Natural computation and non-Turing models of computation. Theoretical Computer Science 317(1-3), 115–145 (2004), doi:10.1016/j.tcs.2003.12.008
MacLennan, B.J.: Bodies — both informed and transformed embodied computation and information processing. In: Dodig-Crnkovic, G., Burgin, M. (eds.) Information and Computation, pp. 225–253. World Scientific (2011)
Másson, E., Wang, Y.-J.: Introduction to computation and learning in artificial neural networks. European Journal of Operational Research 47(1), 1–28 (1990), doi:10.1016/0377-2217(90)90085-P
Matthews, R.: Natural Computation. Presented at the Computation and the Brain Workshop 2011, The Institute for Advanced Studies, Hebrew University in Jerusalem, Israel (2011), https://sites.google.com/site/iascomputationbrainhuji2011/home/previous-lectures/Matthews%282011%29NaturalComputation.pdf?attredirects=0&d=1 (retrieved)
Miller, G.A.: The cognitive revolution: a historical perspective. Trends in Cognitive Sciences 7(3), 141–144 (2003), doi:10.1016/S1364-6613(03)00029-9
Minsky, M. L., Papert, S.: Artificial intelligence progress report. (AI memo No. 252), pp. 1–137 (1972), ftp://publications.ai.mit.edu/ai-publications/0-499/AIM-252.ps (retrieved)
Newell, A.: Are there alternatives? In: Sieg, W. (ed.) Acting and Reflecting: the Interdisciplinary Turn in Philosophy. Kluwer Academic Dordrecht, Boston (1990)
Newell, A., Simon, H.A.: Computer science as empirical inquiry: symbols and search. Communications of the ACM 19(3), 113–126 (1976), doi:10.1145/360018.360022
Piccinini, G.: Functionalism, Computationalism, and Mental Contents. Canadian Journal of Philosophy 34(3), 375–410 (2004), doi:10.2307/40232223
Piccinini, G.: Computational explanation in neuroscience. Synthese 153(3), 343–353 (2006), doi:10.1007/s11229-006-9096-y
Piccinini, G.: Computing Mechanisms. Philosophy of Science 74(4), 501–526 (2007), doi:10.1086/522851
Piccinini, G.: Computation without Representation. Philosophical Studies 137(2), 205–241 (2008), doi:10.1007/s11098-005-5385-4
Piccinini, G., Scarantino, A.: Information processing, computation, and cognition. Journal of Biological Physics 37(1), 1–38 (2011)
Pinker, S.: So How Does the Mind Work? Mind and Language 20(1), 1–24 (2005), doi:10.1111/j.0268-1064.2005.00274.x
Pylyshyn, Z.W.: Computation and cognition: toward a foundation for cognitive science. The MIT Press, Cambridge (1984)
Pylyshyn, Z.W.: Computing in Cognitive Science. In: Posner, M.I. (ed.) Foundations of Cognitive Science, pp. 49–92. MIT Press, Cambridge (1989)
Pylyshyn, Z.W.: What’s in your mind? In: LePore, E., Pylyshyn, Z.W. (eds.) What is Cognitive Science?, pp. 1–25. Blackwell, Malden (1999)
Ramsey, W.: Representation reconsidered. Cambridge University Press, Cambridge (2007)
Ryle, G.: The concept of mind. Penguin Books, Harmondsworth (1949)
Scheutz, M.: When Physical Systems Realize Functions... Minds and Machines 9(2), 161–196 (1999), doi:10.1023/A:1008364332419
Scheutz, M.: Computational versus Causal Complexity. Minds and Machines 11(4), 543–566 (2001), doi:10.1023/A:1011855915651
Schneider, S.: The Language of Thought: A New Philosophical Direction. MIT Press, Cambridge (2011)
Searle, J.R.: The rediscovery of the mind. MIT Press, Cambridge (1992)
Shagrir, O.: Content, Computation and Externalism. Mind 110(438), 369–400 (2001), doi:10.1093/mind/110.438.369
Shagrir, O.: Why we view the brain as a computer. Synthese 153(3), 393–416 (2006), doi:10.1007/s11229-006-9099-8
Shagrir, O.: Marr on Computational-Level Theories. Philosophy of Science 77(4), 477–500 (2010), doi:10.1086/656005
Shagrir, O.: Computation, Implementation, Cognition. Minds and Machines 22(2), 137–148 (2012), doi:10.1007/s11023-012-9280-4
Slezak, P.: The tripartite model of representation. Philosophical Psychology 15(3), 239–270 (2002), doi:10.1080/0951508021000006085
Smith, B.C.: On the origin of objects. MIT Press, Cambridge (1996)
Smith, B.C.: The foundations of computing. In: Scheutz, M. (ed.) Computationalism: New Directions, pp. 23–58. MIT Press, Cambridge (2002)
Smith, B.C.: Age of significance: Introduction (2010), http://www.ageofsignificance.org (retrieved)
Soare, R.I.: Turing oracle machines, online computing, and three displacements in computability theory. Annals of Pure and Applied Logic 160(3), 368–399 (2009), doi:10.1016/j.apal.2009.01.008
Stallings, W.: Computer organization and architecture: designing for performance, 8th edn. Prentice Hall, Upper Saddle River (2010)
Stanley, J., Williamson, T.: Knowing How. The Journal of Philosophy 98(8), 411–444 (2001)
Stich, S.P.: Computation without representation. Behavioral and Brain Sciences 3(01), 152 (1980), doi:10.1017/S0140525X00002272
Stich, S.P.: From folk psychology to cognitive science: the case against belief. MIT Press, Cambridge (1983)
Tienson, J.L.: An introduction to connectionism. The Southern Journal of Philosophy 26, 1–16 (1988), doi:10.1111/j.2041-6962.1988.tb00460.x
Van Rooij, I.: The tractable cognition thesis. Cognitive Science 32(6), 939–984 (2008), doi:10.1080/03640210801897856
Von Eckardt, B.: Multidisciplinarity and cognitive science. Cognitive Science 25(3), 453–470 (2001), doi:10.1016/S0364-0213(01)00043-X
Von Eckardt, B.: What is cognitive science? MIT Press, Cambridge (1993)
Wheeler, J.: The computer and the universe. International Journal of Theoretical Physics 21(6-7), 557–572 (1982), doi:10.1007/BF02650185
White, G.: Descartes Among the Robots. Minds and Machines 21(2), 179–202 (2011), doi:10.1007/s11023-011-9232-4
Wolfram, S.: A new kind of science. Wolfram Media, Champaign (2002)
Zuse, K.: Calculating Space. Massachusetts Institute of Technology, Project MAC (1970)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Fresco, N. (2014). Setting the Stage: Computation in Cognitive Science. In: Physical Computation and Cognitive Science. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41375-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-41375-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41374-2
Online ISBN: 978-3-642-41375-9
eBook Packages: EngineeringEngineering (R0)