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Emergence and Strange Attractors

Published online by Cambridge University Press:  01 April 2022

David V. Newman
David V. Newman*
Affiliation:
Department of Philosophy University of Texas
*
‡Send reprint requests to the author, Department of Philosophy, 320 Moore Hall, Western Michigan University, Kalamazoo, MI 49009.
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Abstract

Recent work in the Philosophy of Mind has suggested that alternatives to reduction are required in order to explain the relationship between psychology and biology or physics. Emergence has been proposed as one such alternative. In this paper, I propose a precise definition of emergence, and I argue that chaotic systems provide concrete examples of properties that meet this definition. In particular, I suggest that being in the basin of attraction of a strange attractor is an emergent property of any chaotic nonlinear dynamical system. This shows that non-reductive accounts of inter-theoretic relations are necessary, and that non-reductive accounts of the mental are possible. Moreover, this work provides a foundation for future work investigating the nature of explanation, prediction, and scientific understanding of non-reductive phenomena.

Type
Research Article
Information
Philosophy of Science , Volume 63 , Issue 2 , June 1996 , pp. 245 - 261
Copyright
Copyright © 1996 by the Philosophy of Science Association

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Footnotes

†

The material in this paper is mostly taken from Chapters 3 and 4 of my dissertation, Chaos and Consciousness. My thanks to Rob Koons, Nick Asher, Robert Causey, Cory Juhl, Jim Garson, Jeff Foss, Pat Manfredi, and Johanna Seibt for discussion of the issues involved here and for comments on my paper “Chaos and Emergence” given at the American Philosophical Association Eastern Division Conference, December 1993. That paper involved my earlier thoughts on some of these issues. I also thank an anonymous reviewer for Philosophy of Science.

References

Batterman, R. W. (1993), “Defining Chaos”, Philosophy of Science 60 (1): 43–66.CrossRefGoogle Scholar
Beckermann, A., Flohr, H., and Kim, J. (ed.) (1992), Emergence or Reduction?: Prospects for Nonreductive Materialism. Edited by Posner, R. and Meggle, G. Foundations of Communication and Cognition. Berlin: Walter de Gruyter.CrossRefGoogle Scholar
Broad, C. D. (1929), The Mind and its Place in Nature. Edited by Ogden, C. K. International Library of Psychology, Philosophy and Scientific Method. New York: Harcourt, Brace.Google Scholar
Chaitin, G. J. (1975), “Randomness and Mathematical Proof”, Scientific American 232: 47–52.CrossRefGoogle Scholar
Devaney, R. L. (1989) “Dynamics of Simple Maps”, Proceedings of Symposia in Applied Mathematics 39: 1–24.CrossRefGoogle Scholar
Ford, J. (1983), “How Random is a Coin Toss?”, Physics Today 36 (4): 40–47.CrossRefGoogle Scholar
Grebogi, C., Ott, E., and Yorke, J. A. (1987), “Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics”, Science 238: 632–638.CrossRefGoogle ScholarPubMed
Hempel, C. G., and Oppenheim, K. (1948), “Studies in the Logic of Explanation”, Philosophy of Science 15: 135–175. Reprinted in Hempel, C. G. (1965), Aspects of Scientific Explanation and Other Essays in the Philosophy of Science. New York: The Free Press, pp. 245–290.CrossRefGoogle Scholar
Hilborn, R. C. (1994), Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers. Oxford: Oxford University Press.Google Scholar
Hobbs, J. (1991), “Chaos and Indeterminism”, Canadian Journal of Philosophy 21 (June): 141–164.CrossRefGoogle Scholar
Kellert, S. H. (1993), In the Wake of Chaos: Unpredictable Order in Dynamical Systems. Edited by Hull, D. L. Science and Its Conceptual Foundations. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Kim, J. (1993), “The Non-Reductivist's Troubles with Mental Causation”, in Heil, J. and Mele, A. (ed.), Mental Causation. Oxford: Clarendon Press, pp. 189–210.Google Scholar
Klee, R. L. (1984), “Micro-Determinism and Concepts of Emergence”, Philosophy of Science 51 (1): 44–63.CrossRefGoogle Scholar
Nagel, E. (1961), The Structure of Science: Problems in the Logic of Scientific Explanation. New York: Harcourt, Brace.CrossRefGoogle Scholar
Searle, J. R. (1992), The Rediscovery of the Mind. Edited by Putnam, H. and Block, N. Representation and Mind. Cambridge, MA: MIT Press/Bradford.CrossRefGoogle Scholar
Sperry, R. W. (1980), “Mind-Brain Interaction: Mentalism, Yes; Dualism, No”, Neuroscience 5: 195–206.CrossRefGoogle Scholar
Stephan, A. (1992), Emergence—A. Systematic View on its Historical Facets, in Beckermann, A., Flohr, H. and Kim, J. (ed.). Emergence or Reduction? Prospects for Nonreductive Materialism. Berlin: De Grutyer, pp. 25–48.Google Scholar
Stewart, I. (1989), Does God Play Dice?: The Mathematics of Chaos. Cambridge, MA: Basil Blackwell.Google Scholar
Stone, M. A. (1989), “Chaos, Prediction and LaPlacean Determinism”, American Philosophical Quarterly 26 (April): 123–131.Google Scholar