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Synergetics as a Tool for the Conceptualization and Mathematization of Cognition and Behaviour — How Far Can We Go?

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Synergetics of Cognition

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 45))

Abstract

Many processes of cognition are deceptively simple and effortless. We immediately can recognize a great variety of patterns. A good deal of our thinking proceeds smoothly, and many kinds of behaviour go on practically automatically. On the other hand we know that our brain is a very complex network consisting of some hundred billion of neurones. So one may ask the question: “Why do we need so many?” As a rule, evolution is economic and it would rather throw neurones away than add new ones. Thus we are led to the conclusion that the complexity of the brain is needed to cope with the complexity of the outer world and of the complex world of our body. In the course of evolution, biological systems must have started from a rather holistic reaction towards the outer world. This reaction then became more and more specialized. For instance the light-sensitive spot of a bacterium may have given the cell only a very diffuse picture. Though the visual system of a frog is rather differentiated, we know from experiments that the reactions of the frog towards the outer world are still rather holistic, and prey and predators are distinguished on global cues, such as size and direction and speed of motion of the objects. Finally, in higher animals the visual system is highly differentiated, but I think that this high degree of differentiation deceives us and makes us believe that total objects are recognized because of their decomposition into individual features. When we look at the course of evolution, we may be led to the idea that the visual system is still governed by holistic principles, and I believe, a satisfactory theory of cognition has to take care of this aspect.

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References

  1. W.S. McCulloch, W. Pitts, Bull. Math. Biophys. 5, 115–133 (1943)

    Article  MathSciNet  MATH  Google Scholar 

  2. F. Rosenblatt, Principles of Neurodynamics: Perceptrons and the Theory of Brain Mechanisms, Spartan, Washington, D.C. (1961)

    Google Scholar 

  3. M. Caudill, C. Butler, Proc. IEEE International Conference on Neural Networks, IEEE Press, New York (1987, 1988) J.S. Denker (Ed.), Neural Networks for Computing, Snowbird, AIP Proc. Vol. 151 (1986) R. Eckmiller, C. v.d. Mahlsburg (Eds.), Neural Computers, NATO ASI Series Vol. F41, Springer, Berlin (1988

    Google Scholar 

  4. J.A. Anderson, J.W. Silverstein, S.A. Ritz, R.S. Jones, Psychological Review 84: 413–451 (1977)

    Article  Google Scholar 

  5. W. Köhler, Dynamics in Psychology: Liveright, New York (1940)

    Google Scholar 

  6. P. Kruse, Stabilität, Instabilität, Multistabilität, Selbstorganisation und Selbstreferentialität in kognitiven Systemen. Delfin 11, 35–58 (1988) S. Vogt, M. Stadler, P. Kruse, Self-organization aspects in the temporal formation of movement gestalts, Human Movement Science 7, 365–406 (1988)

    Google Scholar 

  7. H. Haken, Synergetics, An Introduction, 3rd. ed. Springer, Berlin, Heidelberg, New York (1983)

    MATH  Google Scholar 

  8. H. Haken, Advanced Synergetics, 2nd. print. Springer, Berlin, Heidelberg, New York (1987)

    Google Scholar 

  9. H. Haken, Light. Vol. 2, Laser Light Dynamics, North Holland, Amsterdam, New York (1985)

    Google Scholar 

  10. E.R. Kandel, Behavioral Biology of Aplysia, Freeman, San Francisco, CA. (1979)

    Google Scholar 

  11. M. Bestehorn, H. Haken, Z. Phys. B 57, 329 (1984)

    Article  ADS  Google Scholar 

  12. M. Bestehorn, H. Haken, to be published

    Google Scholar 

  13. H. Haken, in Synergetics of the Brain, eds. E. Basar, H. Flohr, H. Haken, A.J. Mandell; Springer, Berlin, Heidelberg, New York (1983)

    Chapter  Google Scholar 

  14. J.A.S. Kelso, Am. J. Physiol.: Reg. Comp. Physiol. 15, R 1000 (1984)

    ADS  Google Scholar 

  15. H. Haken, J. A. S. Kelso, B. Bunz, Biol. Cybern. 51, 347 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  16. G. Schöner, H. Haken, J.A.S. Kelso, Biol. Cynbern. 53, 247 (1986)

    Article  MATH  Google Scholar 

  17. J.A.S. Kelso, these proceedings, where further references are given

    Google Scholar 

  18. M.L. Shik, F.V. Severin, G.N. Orlovskii, Biofizyka 11, 659 (1966)

    Google Scholar 

  19. W. Lorenz, Diplom thesis Stuttgart 1987 W. Lorenz and H. Haken, to be published

    Google Scholar 

  20. J.A.S. Kelso and G. Schöner, in Lasers and Synergetics, eds. R. Graham and W. Wunderlin; Springer, Berlin, Heidelberg, New York (1987)

    Google Scholar 

  21. H. Haken, in Computational Systems, Natural and Artificial, H. Haken ed. Springer, Berlin, Heidelberg, New York (1987)

    Chapter  Google Scholar 

  22. T. Kohonen, Self-organization and Associative Memory, 2nd ed., Springer, Berlin, Heidelbeerg, New York (1987)

    Google Scholar 

  23. A. Fuchs, H. Haken, Biol. Cybern. 60, 17–22, 107–109, 476 (1988)

    MathSciNet  MATH  Google Scholar 

  24. A. Fuchs, H. Haken, The Synergetic Approach to Pattern Recognition. To be published in: W. Ebeling, H. Ulbricht, Eds. Proceedings of the 4th IPSO, Teubner, Leipzig

    Google Scholar 

  25. H. Haken, in Neural and Synergetic Computers, H. Haken, ed. Springer, Berlin, Heidelberg, New York (1988)

    Google Scholar 

  26. A. Fuchs, H. Haken, in Neural and Synergetic Computers, Springer, Berlin, Heidelberg, New York (1988)

    Google Scholar 

  27. R. Hönlinger, A. Fuchs and H. Haken, to be published

    Google Scholar 

  28. J.A. Anderson, A.J. O’Toole, R.B. Millward, Neuronal Networks, Vol. 1, No. 3, 179–199 (1988)

    Article  Google Scholar 

  29. A.H. Kawamoto, J.A. Anderson, Acta Psychologica 59, 35–65

    Google Scholar 

  30. W.E. Hill, My Wife and my Mother in Law. Puck 6. November (1915)

    Google Scholar 

  31. T. Ditzinger, H. Haken, Oscillations in the Perception of Ambiguous Patterns. A Model based on Synergetics. Biological Cybern., in press

    Google Scholar 

  32. D.E. Rumelhart, J.L. McClelland, Parallel Distributed Processing, MIT Press, Cambridge, Mass. (1986)

    Google Scholar 

  33. D.H. Ackley, G.E. Hinton, T.J. Sejnowski, Cogn. Science 9, 147–169 (1985)

    Article  Google Scholar 

  34. T. Kohonen, Biol. Cybern. 43, 59–69 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  35. H. Haken, Z. Phys. B71, 521–526 (1988) W. Banzhaf, H. Haken, Learning in a Competitive Network, submitted to Neural Networks (1989)

    Article  MathSciNet  ADS  Google Scholar 

  36. H. Haken, R. Haas, W. Banzhaf, A new Learning Algorithm for Synergetic Computers, submitted to Biol. Cybern. (1989)

    Google Scholar 

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© 1990 Springer-Verlag Berlin, Heidelberg

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Haken, H. (1990). Synergetics as a Tool for the Conceptualization and Mathematization of Cognition and Behaviour — How Far Can We Go?. In: Haken, H., Stadler, M. (eds) Synergetics of Cognition. Springer Series in Synergetics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48779-8_1

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  • DOI: https://doi.org/10.1007/978-3-642-48779-8_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48781-1

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