Abstract
In this article we consider the problem of creative metaphors — that is, those metaphors that induce new ontologies and new structures on an object or a situation, thereby creating new perspectives — and how they might be modeled formally. We argue that to address this problem we need to fix the model, and study how different theories organize the model differently.We briefly present some algebraic mechanisms that can be used to formalize this intuition, and discuss some of their implications. Then we provide a few examples to illustrate our approach. Finally, we emphasize that our proposed mechanisms are meant to supplement the existing algebraic approaches to formalizing metaphor, and are not suggested as a replacement.
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References
Black, M. (1962). Metaphor. In M. Black Models and Metaphors, Cornell University Press, Ithaca, NY, pp. 25–47.
Black, M. (1979). More about Metaphor. In A. Ortony (ed.) Metaphor and Thought, Cambridge University Press, Cambridge, UK, pp. 19–45.
Bottini, G., Corcoran, R., Sterzi, R., Paulesu, E., Schenone, P., Scarpa, P., Frackowiak, R.S.J., and Frith, C.D. (1994). The role of the right hemisphere in the interpretation of figurative aspects of language: A positron emission tomography activation study. Brain, 117, pp. 1241–1253.
Brachman, R.J. and Levesque, H.J. (eds.) (1985). Readings in Knowledge Representation. Morgan Kaufmann, San Mateo, California.
Burgess, C., and Chiarello, C. (1996). Neurocognitive Mechanisms Underlying Metaphor Comprehension and Other Figurative Language. Metaphor and Symbolic Activity, 11, No. 1, pp. 67–84.
Cohn, P.M. (1981). Universal Algebra. Revised edition, D. Reidel, Dordrecht, The Netherlands.
Dastani, M. 1998, Languages of Perception. Ph.D. dissertation. Institute for Logic, Language and Computation, (ILLC Dissertation Series 1998-05), Univ. of Amsterdam, Amsterdam.
Dastani, M., Indurkhya, B., and Scha, R. (1997). An Algebraic Approach to Modeling Analogical Projection in Pattern Perception. In T. Veale (ed.) Proceedings of Mind II: Computational Models of Creative Cognition, Dublin, Ireland, September 15–17, 1997.
Dent-Read, C., and Szokolszky, A. (1993). Where do metaphors come from? Metaphor and Symbolic Activity, 8(3), pp. 227–242.
Gineste, M.-D., Indurkhya, B., and Scart-Lhomme, V. (1997). Mental Representations in Understanding Metaphors. Notes et Documents Limsi No. 97-02, LIMSI-CNRS, BP 133, F-91403, Orsay, Cedex, France.
Goguen, J. (1997). Semiotic Morphisms. Technical Report TR-CS97-553, Dept. of Computer Science & Engineering, Univ. of California at San Diego. San Diego,Calif.
Goodman, N. (1978). Ways of Worldmaking. Hackett, Indianapolis.
Gordon, W.J.J. (1961). Synectics: The Development of Creative Capacity. Harper & Row, New York.
Gordon, W.J.J. (1965). The Metaphorical Way of Knowing. In G. Kepes (ed.) Education of Vision. George Braziller, New York, pp. 96–103.
Hofstadter, D. (1984). The Copycat Project: An Experiment in Nondeterminism and Creative Analogies. AI Memo 755. Artificial Intelligence Laboratory, MIT, Cambridge: Mass.
Hofstadter, D., and The Fluid Analogies Research Group (1995). Fluid Concepts and Creative Analogies. Basic Books, New York.
Hunter, D. and Indurkhya B. (1998). ‘Don’t Think, but Look!’ A Gestalt Interactionist Approach to Legal Thinking. In K. Holyoak, D. Gentner and B. Kokinov (eds.) Advances in Analogy Research: Integration of Theory and Data from the Cognitive, Computational and Neural Sciences. NBU series in Cognitive Science, New Bulgarian University, Sofia, pp. 345–353.
Indurkhya, B. (1991). On the Role of Interpretive Analogy in Learning. New Generation Computing 8, pp. 385–402.
Indurkhya, B. (1992). Metaphor and Cognition: An Interactionist Approach. Kluwer Academic Publishers, Dordrecht, The Netherlands.
Indurkhya, B. (1997a). Metaphor as Change of Representation: An Artificial Intelligence Perspective. Journal of Experimental and Theoretical Artificial Intelligence 9, pp. 1–36.
Indurkhya, B. (1997b). On Modeling Creativity in Legal Reasoning. Proceedings of the Sixth International Conference on AI and Law, Melbourne, Australia, June 30–July 3, 1997, pp. 180–189.
Indurkhya, B. (1998). On Creation of Features and Change of Representation. Journal of the Japanese Cognitive Science Society 5, No. 2 (June 1998), pp. 43–56.
Koestler, A. (1964). The Act of Creation. Hutchinsons of London. 2nd Danube edition (1976).
Lakoff, G. (1987). Women, Fire and Dangerous Things. Univ. of Chicago Press, Chicago.
Lakoff, G. and Johnson, M. (1980). Metaphors We Live By. Univ. of Chicago Press, Chicago.
Lakoff, G. and Turner, M. (1989). More than Cool Reasons: A Field Guide to Poetic Metaphors. Univ. of Chicago Press, Chicago.
Leeuwenberg, E. (1971). A Perceptual Coding Language for Visual and Auditory Pattern. American Journal of Psychology 84, pp. 307–349.
Mal-rscev, A.I., (1973). Algebraic Systems. B.D. Seckler & A.P. Doohovskoy (trans.). Springer-Verlag, Berlin, Germany.
Marschark, M., Katz, A. and Paivio, A. (1983). Dimensions of Metaphors. Journal of Psycholinguistic Research 12, pp. 17–40.
Nueckles, M. and Janetzko, D. (1997). The Role of Semantic Similarity in the Comprehension of Metaphor. In Proceedings of the Nineteenth Annual Conference of the Cognitive Science Society, Lawrence Erlbaum Associates, Hillsdale, New Jersey, pp. 578–583.
Paivio, A. (1979). Imagery and Verbal Processes. Hillsdale, NJ: Lawrence Erlbaum associates, Inc.
Piaget, J. (1953). Logic and Psychology. Manchester University Press, Manchester, UK.
Piaget, J. (1967). Biology and Knowledge. B. Walsh (trans.) (1971). Univ. of Chicago Press, Chicago.
Rosch, E. (1977). Human Categorization. In N. Warren (ed.) Studies in Cross-Cultural Psychology: Vol. 1. Academic Press, London, pp. 1–49.
Schön, D.A. (1963). Displacement of Concepts. Humanities Press, New York.
Schön, D.A. (1979). Generative Metaphor: A Perspective on Problem-Setting in Social Policy. In A. Otony (ed.)Metaphor and Thought. Cambridge Univ. Press, Cambridge, UK, pp. 254–283.
Tourangeau, R. and Rips, L. (1991). Understanding and Appreciating Metaphors. Cognition 11, pp. 203–244.
Turner, M. and Fauconnier, G. (1995). Conceptual Integration and Formal Expression. Metaphor and Symbolic Activity, 10(3), pp. 183–204.
Van der Helm, P. and Leeuwenberg, E. (1991). Accessibility: A Criterion for Regularity and Hierarchy in Visual Pattern Code. Journal of Mathematical Psychology, 35, 151–213.
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Indurkhya, B. (1999). An Algebraic Approach to Modeling Creativity of Metaphor. In: Nehaniv, C.L. (eds) Computation for Metaphors, Analogy, and Agents. CMAA 1998. Lecture Notes in Computer Science(), vol 1562. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48834-0_16
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DOI: https://doi.org/10.1007/3-540-48834-0_16
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