Abstract
In our paper we discuss the Berlin Gestalt theory, its relation to modelling with artificial neural networks and ask if Gestalt theory may serve as a paradigm for future research on music perception in the realm of (computational) auditory perceptual organization. To answer this question, we made a logical analysis of important Gestaltist concepts from the point of view of philosophy of science, discuss a particular model of brain functioning and perception which is often assumed to be a modified follow up of Gestalt theory, and study Gestalt theory in relation to modelling perceptual organization with artificial neural networks using some well known facts from automata theory. The paper is divided into three parts: (i) Gestalt theoretical concepts such as “Gestaltqualität”, functional whole (“Wirkungszusammenhang”) and emergence are studied in discussing prior logical interpretations of Gestalt theory, (ii) K. Pribram's holographic brain metaphor is discussed in relation to W. Köhler's concept of a functional whole and related to artificial neural network research, (iii) the relevance of Gestalt theory — especially the principle of “Prägnanz” and the concept of a functional whole — in connection to artificial neural networks for research on perceptual organization is analysed. The idea of emergent computations is discussed with regard to concepts from automata theory. In our conclusion we present an answer to our main question and give some hints for future research.
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References
Anderson, J., & Hinton, G. (1981). Models of information processing in the brain. In G. Hinton & J. Anderson (Eds.), Parallel models of associative memory. Hillsdale, NJ: Erlbaum.
Arbib, M. (1964). Brains, machines and mathematics. New York, NY: McGraw-Hill.
Beckermann, A., Flohr, H., & Kim, J. (1992). Emergence or reduction? Essays on the prospective of nonreductive physicalism. Berlin, New York: Walter de Gruyter.
Bergmann, G. (1944). Holism, historicism, and emergence. Philosophy of Science, 11, 209–221.
Braitenberg, V. (1986). Künstliche Wesen: Verhalten kybernetischer Vehikel. Braunschweig: Vieweg.
Bregman, A. (1990). Auditory scene analysis: The perceptual organization of sound. Cambridge, MA: The MIT Press.
Bruhn, H. (1995). Gehör. In L. Finscher (Ed.), Die Musik in Geschichte und Gegenwart, Vol. 3. Kassel: Bärenreiter.
Carnap, R. (1929). Abriss der Logistik mit besonderer Berücksichtigung der Relationstheorie und ihrer Anwendungen. Vienna: Julius Springer.
Edelman, G., & Reeke, G. (1990). Is it possible to construct a perception machine? Proceedings of the American Philosophical Society, 134, 36–73.
Ellis, D. (1995). Hard problems in computational auditory scene analysis. (http://sound.media.mit.edu/≈dpwe/writing/hard-probs.html)
Garnett, A. (1942). Scientific method and the concept of emergence. The Journal of Philosophy, 39, 477–486.
Gregory, R. (1974). Choosing a paradigm for perception. In E. Carterette & M. Friedman (Eds.), Handbook of perception, Vol. I: Historical and philosophical roots of perception. New York, NY: Academic Press.
Grelling, K., & Oppenheim, P. (1937/1938a). Der Gestaltbegriff im Lichte der neuen Logik. Erkenntnis, 7, 211–225.
Grelling, K., & Oppenheim, P. (1937/1938b). Supplementary remarks on the concept of Gestalt. Erkenntnis, 7, 357–359.
Grelling, K., & Oppenheim, P. (1988a). The concept of Gestalt in the light of modern logic. In B. Smith (Ed.), Foundations of Gestalt theory. Munich, Vienna: Philosophia Verlag. (Original work published 1937/1938)
Grelling, K., & Oppenheim, P. (1988b). Supplementary remarks on the concept of Gestalt. In B. Smith (Ed.), Foundations of Gestalt theory. Munich, Vienna: Philosophia Verlag. (Original work published 1937/1938)
Griffith, N., & Todd, P. (Eds.). (1994). Music and creativity. (Special issue of Connection Science: Journal of Neural computing, Artificial Intelligence, and Cognitive Research 6(2–3))
Haubensack, G. (1985). Absolutes und vergleichendes Urteil. Eine Einführung in die Theorie psychischer Bezugssysteme. Berlin, Heidelberg: Springer-Verlag.
Hawkins, H., McMullen, T., Popper, A., & Fay, R. (1996). Auditory computation. New York, NY: Springer-Verlag.
Hempel, C., & Oppenheim, P. (1948). Studies in the logic of explanation. Philosophy of Science, 15, 135–175.
Henle, P. (1942). The status of emergence. The Journal of Philosophy, 39, 486–493.
Hoyningen-Hüne, P. (1996). Supervenient/Supervenienz. In J. Mittelstraß (Ed.), Enzyklopädie Philosophie und Wissenschaftstheorie, Bd. 4. Stuttgart, Weimar: Verlag J.B. Metzler.
Keiler, P. (1980). Isomorphie-Konzept und Wertheimer-Problem. Beiträge zu einer historisch-methodologischen Analyse des Köhlerschen Gestaltansatzes, Teil I. Gestalt Theory, 2, 78–112.
Keiler, P. (1981). Isomorphie-Konzept und Wertheimer-Problem. Beiträge zu einer historisch-methodologischen Analyse des Köhlerschen Gestaltansatzes, Teil II. Gestalt Theory, 3, 93–128.
Köhler, W. (1920). Die physischen Gestalten in Ruhe und im stationären Zustand. Eine naturphilosophische Untersuchung. Braunschweig: Vieweg.
Köhler, W. (1947). Gestalt psychology. New York, NY: Liveright.
Köhler, W. (1969). The task of Gestalt psychology. Princeton, NJ: Princeton University Press.
Kohonen, T. (1989). Self-organization and associative memory. Berlin, Heidelberg: Springer-Verlag.
Kubovy, M., & Pomerantz, J. (1981). Perceptual organization. Hillsdale, NJ: Erlbaum.
Kuhn, T. (1976). Die Struktur wissenschaftlicher Revolutionen. Frankfurt/M.: Suhrkamp.
Lehmann, G. (1985). Modell-und rekursionstheoretische Grundlagen psychologischer Theorienbildung. Berlin, Heidelberg: Springer-Verlag.
Leinfellner, W. (1966). Logische Analyse der Gestalt: Logik und Gestaltpsychologie. Studium Generale, 19, 219–235.
Leman, M. (1995). Music and schema theory: Cognitive foundations of systematic musicology. Berlin, Heidelberg: Springer-Verlag.
Leman, M. (Ed.). (1997). Foundations of pitch and timbre perception. Lisse, The Netherlands: Swets & Zeitlinger. (Special issue of Journal of New Music Research, Vol. 26, nr. 2)
Luce, R. (1993). Sound and hearing: A conceptual introduction. Hillsdale, NJ: Erlbaum.
Mausfeld, R. (1994a). Hermann v.Helmholtz: Die Untersuchung der Funktionsweise des Geistes als Gegenstand einer wissenschaftlichen Psychologie. Psychologische Rundschau, 45, 133–147.
Mausfeld, R. (1994b). Methodologische Grundlagen und Probleme der Psychophysik. In T. Herrmann & W. Tack (Eds.), Methodologische Grundagen der Psychologie. Göttingen: Hogrefe.
McCulloch, W., & Pitts, W. (1965). A logical calculus of ideas immanent in nervous activity. In Embodiments of mind. Cambridge, MA: The MIT Press. (Original work published 1943)
Nagel, E. (1952). Wholes, sums, and organic unities. Philosophical Studies, 3, 17–32.
Nagel, E. (1971). The structure of science: Problems in the logic of scientific explanation. London: Routledge and Kegan Paul.
Nelson, R. (1976). On mechanical recognition. Philosophy of Science, 43, 24–52.
Palmer, S. (1990). Modern theories of Gestalt perception. Mind and Language, 5, 289–321.
Parberry, I. (1994). Circuit complexitiy and neural networks. Cambridge, MA: The MIT Press.
Pomerantz, J., & Kubovy, M. (1986). Theoretical approaches to perceptual organization. In K. Boff, L. Kaufman, & J. Thomas (Eds.), Handbook of perception and human performance. Vol. II: Cognitive processes and performance. New York, NY: Wiley.
Pribram, K. (1975). Towards holonomic theory of perception. In S. Ertel, L. Kemmer, & M. Stadler (Eds.), Gestalttheorie in der modernen Psychologie. Darmstadt: Steinkopff.
Pribram, K. (1991). Brain and perception: Holonomy and structure in figural processing. Hillsdale, NJ: Erlbaum.
Pribram, K., Nuwer, M., & Baron, R. (1974). The holographic hypothesis of memory structure in brain function and perception. In D. Krantz, R. Atkinson, R. Luce, & P. Suppes (Eds.), Contemporary developments in mathematical psychology. Vol. II: Measurement, psychophysics and neural information,processing. San Francisco, CA: Freeman.
Rausch, E. (1967). Uber Summativität und Nichtsummativität. In Psychologische Forschung. Zeitschrift für Psychologie und ihre Grenzwissenchaften. Darmstadt: Reprint of Wissenschaftliche Buchgesellschaft. (Original work published 1937)
Rescher, N. (1953). Mr. Madden on Gestalt theory. Philosophy of Science, 20, 327–328.
Rescher, N., & Oppenheim, P. (1955). Logical analysis of Gestalt theory. The British Journal for the Philosophy of Science, 6, 89–106.
Rojas, R. (1993). Theorie der neuronalen Netze. Eine systematische Einführung. Berlin, Heidelberg: Springer-Verlag.
Scheerer, E. (1994). Psychoneural isomorphism: Historical background and current relevance. Philosophical Psychology, 7, 183–210.
Schmitt, F., Dev, P., & Smith, B. (1976). Electronic processing of information by brain cells. Science, 193, 114–120.
Shamma, S. (1995). Auditory cortex. In M. Arbib (Ed.), The handbook of brain theory and neural networks. Cambridge, MA: The MIT Press.
Shepherd, G. (1990). The significance of real neuron architectures for neural network simualitions. In E. Schwartz (Ed.), Computational neuroscience. Cambridge, MA: The MIT Press.
hepherd, G. (1994). Neurobiology (3rd ed.). New York, NY: Oxford University Press.
Shepherd, G., & Koch, C. (1990). Introduction to synaptic circuits. In G. Shepherd (Ed.), The synaptic organization of the brain. New York, NY: Oxford University Press.
Sontag, E. (1995). Automata theory and neural networks. In M. Arbib (Ed.), The handbook of brain theory and neural networks. Cambridge, MA: The MIT Press.
Stadler, M. (1981). Feldtheorie heute-von Wolfgang Köhler zu Karl Pribram. Gestalt Theory, 3, 185–199.
Stephan, A. (1994). Theorien der Emergenz-Metaphysik oder? Grazer Philosophische Studien, 48, 105–115.
Suppes, P., & Rottmayer, W. (1974). Automata. In E. Carterette & M. Friedman (Eds.), Handbook of perception, Vol. I: Historical and philosophical roots of perception. New York, NY: Academic Press.
Todd, P., & Loy, D. (1991). Music and connectionism. Cambridge, MA: The MIT Press.
Wertheimer, M. (1974). The problem of perceptual structure. In E. Carterette & M. Friedman (Eds.), Handbook of perception, Vol. I: Historical and philosophical roots of perception. New York, NY: Academic Press.
Willshaw, D. (1981). Holography, associative memory, and inductive generalization. In G. Hinton & J. Anderson (Eds.), Parallel models of associative memory. Hillsdale, NJ: Erlbaum.
Zucker, S. (1995). Perceptual grouping. In M. Arbib (Ed.), The handbook of brain theory and neural networks. Cambridge, MA: The MIT Press.
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Eichert, R., Schmidt, L., Seifert, U. (1997). Logic, gestalt theory, and neural computation in research on auditory perceptual organization. In: Leman, M. (eds) Music, Gestalt, and Computing. JIC 1996. Lecture Notes in Computer Science, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034108
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DOI: https://doi.org/10.1007/BFb0034108
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