Abstract
Synergetics and its concept of order parameters can provide a general theoretical framework for the study of cognitive maps. Close links between processes in the internal world of the individual and processes in the external environment have led to the notion of inter-representational networks (IRN). In this paper it will be shown how the concept of order parameters allows us to cast the notion of IRN into a mathematical form that in the present paper is based on graphical representations. After a short reminder of synergetics, cognitive maps and IRN we present a general model of IRN in terms of synergetics, where the mathematical basis is demonstrated. We then show how the above model can be applied to the construction of cognitive maps, in particular to environmental learning and transformations in cognitive mapping. Finally, we show, how collective cognitive processes may take place.
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References
Alexander, C. et al. (1977). A Pattern Language, New York: Oxford University Press.
Alexander, C. (1979). The Timeless Way of Building, New York: Oxford University Press.
Bartlett, F.C. (1932/1961). Remembering: A Study in Experimental and Social Psychology, Cambridge: Cambridge University Press.
Daffertshofer, A. and Haken, H. (1994). A new approach to recognition of deformed patterns. Pattern Recognition 27(12) 1697–1705.
Donald, M. (1991). Origins of the Modern Mind: Three Stages in the Evolution of Culture and Cognition, Cambridge Mass, and London: Harward University Press.
Downs, R.M. and Stea, D. (1976). Maps in Minds, New York: Harper & Row.
Edelman, G.M. (1992). Bright Air Briliant Fire: On the Matter of the Mind, London: Penguin Books.
Gibson, J.J. (1979). The Ecological Approach to Visual Perception, Boston: Houghton-Mifflin.
Haken, H. (1979). Pattern formation and pattern recognition-an attempt at a synthesis. In Pattern Formation by Dynamical Systems and Pattern Recognition (H. Haken, ed.), pp Berlin: Springer Verlag.
Haken, H. (1983). Synergetics, An Introduction, 3rd. ed., Berlin: Springer.
Haken, H. (1987). Advanced Synergetics, An Introduction, 2nd. print., Berlin: Springer.
Haken, H. (1991). Synergetic Computers and Cognition, Berlin: Springer.
Kruse, P. and Stadler, M. (1993). The significance of nonlinear phenomena for the investigation of cognitive systems. In Interdisciplinary Approaches to Nonlinear Complex Systems (H. Haken and A. Mikhailov, eds.), pp. 138–160. Berlin: Springer.
Lakoff, G. (1987). Women Fire and Dangerous Things: What Categories Reveal About the Mind, Chicago: The University of Chicago Press.
Langacker, R.W. (1987). Foundations of Cognitive Grammar, Volume 1: Theoretical Prerequisites, Stanford: Stanford University Press.
McClelland, J.L., Rumelhart, D.E. and the PDP Research Group (1986). Parallel Distributed Processing, Explorations in the Microstructure of Cognition. Volume 2: Psychological and Biological Models, Cambridge Mass: MIT Press.
McDonald, T.P. and Pellegrino, J.W. (1993). Psychological persperctives on spatial cognition. In Behavior and Environment (T. Garling and R.G. Golledge eds.), pp. 47–82. Amsterdam: North-Holland.
Portugali, J. (1990). Social synergetics, cognitive maps and enviromental recognition. In Synergetics of Cognition (H. Haken and M. Stadler eds.), pp. 379–392. Berlin: Springer.
Portugali, J. (1993). Implicate Relations: Society and space in the Israeli-Palestinian conflict, Dordrecht: Kluwer Academic Publishers.
Portugali, J. and Haken, H. (1992). Synergetics and cognitive maps. In Geography, Environment and Cognition (J. Portugali ed.), a special theme issue Geoforum 23(2), 111–130.
Rumelhart, D.E., Smolensky, P., McClelland, J.L. and Hinton, G.E. (1986). Schemata and sequential thought processes in PDP models. In Parallel Distributed Processing, Explorations in the Microstructure of Cognition. Volume 2: Psychological and Biological Models (J.L. McClelland, D.E. Rumelhart, and the PDP Research Group), pp. 7–57. Cambridge Mass: MIT Press.
Stadler, M. and Kruse, P. (1990). The self-organization perspective in cognition research: historical remarks and new experimental approaches. In Synergetics of Cognition (H. Haken and M. Stadler eds), pp. 32–52. Berlin: Springer.
Vygotsky, L.S. (1978). Mind in Society, Cambridge Mass.: Cambridge University Press.
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© 1996 Kluwer Academic Publishers
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Haken, H., Portugali, J. (1996). Synergetics, Inter-Representation Networks and Cognitive Maps. In: Portugali, J. (eds) The Construction of Cognitive Maps. GeoJournal Library, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-0-585-33485-1_3
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DOI: https://doi.org/10.1007/978-0-585-33485-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-3949-6
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