A Unified Perspective on Explaining Dynamics by Anticipatory State Properties

  • Jan Treur
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3561)


In Cognitive Science, recently Dynamical Systems Theory (DST) has been advocated as an approach to cognitive modelling that is better suited to the dynamics of cognitive processes than the symbolic/computational approaches are. Often the differences between DST and the symbolic/computational approach are emphasized. However, if two approaches are used also their commonalities can be analysed, and a unifying framework can be sought. In this paper the possibility of such a unifying perspective on dynamics is analysed. The analysis does not only cover dynamics in the cognitive discipline, but also in other disciplines: Physics, Mathematics and Computer Science. The unifying perspective warrants the development of integrated approaches covering both DST aspects and symbolic/computational aspects.


Transition System Transition Rule Dynamical System Theory Unify Perspective Nicomachean Ethic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Aristotle (350 BC). Physica. (translated by R.P. Hardie and R.K. Gaye)Google Scholar
  2. 2.
    Aristotle (350 BC). De Motu Animalium On the Motion of Animals (translated by A. S. L. Farquharson)Google Scholar
  3. 3.
    Aristotle (350 BC). Nicomachean Ethics (translated by W.D. Ross)Google Scholar
  4. 4.
    Ashby, R.: Design for a Brain. Chapman & Hall, London (1952); Burns, P.T.: The Complete History of The Discovery of Cinematography(2000), http://precinemahistory.net/
  5. 5.
    Descartes, R.: The World or Treatise on Light. In: Gaukroger, S. (ed.) Descartes: The World and Other Writings. Cambrige University Press, Cambridge(1998) (translated by M.S. Mahoney) Google Scholar
  6. 6.
    Descartes, R.: Principles of Philosophy (1644) (translated by M.S. Mahoney)Google Scholar
  7. 7.
    van Gelder, T.J.: Defending the dynamical hypothesis. In: Tschacher, W., Dauwalder, J.-P. (eds.) Dynamics, Synergetics, Autonomous Agents: Nonlinear Systems Approaches to Cognitive Psychology and Cognitive Science, pp. 13–28. World Scientific, Singapore (1999)CrossRefGoogle Scholar
  8. 8.
    van Gelder, T.J., Port, R.F.: It’s About Time: An Overview of the Dynamical Approach to Cognition. In: Port and van Gelder, pp. 1–43 (1995)Google Scholar
  9. 9.
    Jonker, C.M., Treur, J., de Vries, W.: Temporal Analysis of the Dynamics of Beliefs, Desires, and Intentions. Cognitive Science Quarterly (Special Issue on Desires, Goals, Intentions, and Values: Computational Architectures) 2, 471–494 (2002)Google Scholar
  10. 10.
    Jonker, C.M., Treur, J.: Analysis of the Dynamics of Reasoning Using Multiple Representations. In: Gray, W.D., Schunn, C.D. (eds.) Proceedings of the 24th Annual Conference of the Cognitive Science Society, CogSci 2002, pp. 512–517. Lawrence Erlbaum Associates, Inc, Mahwah (2002)Google Scholar
  11. 11.
    Jonker, C.M., Treur, J.: A Temporal-Interactivist Perspective on the Dynamics of Mental States. Cognitive Systems Research Journal 4, 137–155 (2003)CrossRefGoogle Scholar
  12. 12.
    Kelso, J.A.S.: Dynamic Patterns: the Self-Organisation of Brain and Behaviour. MIT Press, Cambridge (1995)Google Scholar
  13. 13.
    Kosman, L.A.: Aristotle’s Definition of Motion. Phronesis 14, 40–62 (1969)CrossRefGoogle Scholar
  14. 14.
    Laplace, P.S.: Philosophical Essays on Probabilities. Springer, New York (1995) Translated by A.I. Dale from the 5th French edition of 1825Google Scholar
  15. 15.
    Leibniz, G.W.: A memorable error of Descartes (1686)Google Scholar
  16. 16.
    Leibniz, G.W.: Discourse on Metaphysics (1686)Google Scholar
  17. 17.
    Leibniz, G.W.: Les surprises du Phoranomus. Les Études Philosophiques, pp. 171-86 (April-June 1989)Google Scholar
  18. 18.
    von Leibniz, G.W.: Philosophical Papers and Letters. In: Loemker, L.E. (ed.), University of Chicago Press, Chicago (1956)Google Scholar
  19. 19.
    Leibniz, G.W.: Phoranomus seu De potentia et legibus naturæ. Dialogus II. Physis 28, 797–885 (1991)MathSciNetGoogle Scholar
  20. 20.
    Newton, I.: The Mathematical Principles of Natural Philosophy (1729) Newton’s Principles of Natural Philosophy, Dawsons of Pall Mall (1968)Google Scholar
  21. 21.
    Newton, I.: Isaac Newton’s Papers and Letters on Natural Philosophy. In: Cohen, B. (ed.), Cambridge, Mass (1958)Google Scholar
  22. 22.
    Nussbaum, M. (ed.): Aristotle’s De Motu Animalium. Princeton University Press, Princeton (1978)Google Scholar
  23. 23.
    Port, R.F., van Gelder, T. (eds.): Mind as Motion: Explorations in the Dynamics of Cognition. MIT Press, Cambridge (1995)Google Scholar
  24. 24.
    Sachs, J.: Aristotle: Motion and its Place in Nature. The Internet Encyclopedia of Philosophy (2001), http://www.utm.edu/research/iep/a/aris-not.htm
  25. 25.
    Sun, R.: Duality of the Mind. Lawrence Erlbaum Associates, Mahwah, NJ (2002)Google Scholar
  26. 26.
    Treur, J.: (2005). States of Change: Explaining Dynamics by Anticipatory State Properties. Philosophical Psychology Journal (2005) (in press)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jan Treur
    • 1
    • 2
  1. 1.Department of PhilosophyUtrecht UniversityUtrechtThe Netherlands
  2. 2.Department of Artificial IntelligenceVrije Universiteit AmsterdamAmsterdamThe Netherlands

Personalised recommendations