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Reasoning with visual metaphors

Published online by Cambridge University Press:  24 July 2013

James W. McAllister*
Affiliation:
Institute of Philosophy, University of Leiden, P.O. Box 9515, 2300 RA Leiden, The Netherlands; e-mail: [email protected]

Abstract

Research into visual reasoning up to now has focused on images that are literal depictions of their objects. I argue in this article that an important further mode of visual reasoning operates on images that depict objects metaphorically. Such images form part of the class of expressive symbols: they are found, for example, in allegorical representations in works of visual art, studied by iconology. They were also a common way of encapsulating insights about the universe in natural philosophy in the Renaissance. Many writers assume that expressive symbols have vanished from modern science, but I argue in the second part of the article that mathematical law statements in present-day physics should be seen, in part, as images that constitute expressive symbols of the world. In support of this view, I offer evidence that law statements relate to their objects metaphorically and that physicists engage with them primarily through visual inspection and visual reasoning.

Type
Articles
Copyright
Copyright © Cambridge University Press 2013 

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References

Arnheim, R. 1969. Visual Thinking. University of California Press.Google Scholar
Baigrie, B. S. (ed.) 1996. Picturing Knowledge: Historical and Philosophical Problems Concerning the Use of Art in Science. University of Toronto Press.CrossRefGoogle Scholar
Bailer-Jones, D. M. 2002. Models, metaphors and analogies. In The Blackwell Guide to the Philosophy of Science, Machamer, P. & Silberstein, M. (eds). Blackwell, 108127.CrossRefGoogle Scholar
Black, M. 1962. Models and Metaphors: Studies in Language and Philosophy. Cornell University Press.CrossRefGoogle Scholar
Block, N. (ed.) 1981. Imagery. MIT Press.Google Scholar
Boas, G. (ed.) 1993. The Hieroglyphics of Horapollo. Princeton University Press.Google Scholar
Brown, J. R. 2008. Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, 2nd edition. Routledge.Google Scholar
Brown, J. R. 2011. The Laboratory of the Mind: Thought Experiments in the Natural Sciences, 2nd edition. Routledge.CrossRefGoogle Scholar
Carroll, N. 1994. Visual metaphor. In Aspects of Metaphor, Hintikka, J. (ed.). Kluwer, 189218.CrossRefGoogle Scholar
Cartwright, N. 1983. How the Laws of Physics Lie. Clarendon Press.CrossRefGoogle Scholar
Clulee, N. H. 2005. The Monas hieroglyphica and the alchemical thread of John Dee's career. Ambix 52, 197215.CrossRefGoogle Scholar
Clulee, N. H. 2006. John Dee's natural philosophy revisited. In John Dee: Interdisciplinary Studies in English Renaissance Thought, Clucas, S. (ed.). Springer, 2337.CrossRefGoogle Scholar
Dalitz, R. H. 1987. A biographical sketch of the life of Professor P. A. M. Dirac, OM, FRS. In Tributes to Paul Dirac, Taylor, J. G. (ed.). Adam Hilger, 328.Google Scholar
Davies, M., Croall, H., Tyrer, J. 2010. Criminal Justice, 4th edition. Longman.Google Scholar
Dempsey, C. 2003. Renaissance hieroglyphic studies: an overview. In Interpretation and Allegory: Antiquity to the Modern Period, Whitman, J. (ed.). Brill, 365379.CrossRefGoogle Scholar
de Regt, H. W., Dieks, D. 2005. A contextual approach to scientific understanding. Synthese 144, 137170.CrossRefGoogle Scholar
Dirac, P. A. M. 1929. Quantum mechanics of many-electron systems. Proceedings of the Royal Society of London A 123, 714733.Google Scholar
Ferguson, E. S. 1992. Engineering and the Mind's Eye. MIT Press.Google Scholar
Fleisch, D. 2008. A Student's Guide to Maxwell's Equations. Cambridge University Press.CrossRefGoogle Scholar
Gendler, T. S. 2004. Thought experiments rethought—and reperceived. Philosophy of Science 71, 11521163.CrossRefGoogle Scholar
Gentner, D., Jeziorski, M. 1993. The shift from metaphor to analogy in western science. In Metaphor and Thought, 2nd edition. Ortony, A. (ed.). Cambridge University Press, 447480.CrossRefGoogle Scholar
Gentner, D., Stevens, A. L. (eds) 1983. Mental Models. Lawrence Erlbaum.Google Scholar
Giaquinto, M. 2007. Visual Thinking in Mathematics. Clarendon Press.CrossRefGoogle Scholar
Gombrich, E. H. 1956. Art and Illusion: A Study in the Psychology of Pictorial Representation. Princeton University Press.Google Scholar
Gombrich, E. H. 1965. The use of art for the study of symbols. American Psychologist 20, 3450.CrossRefGoogle Scholar
Gombrich, E. H. 1972. Symbolic Images: Studies in the Art of the Renaissance. Phaidon.Google Scholar
Gombrich, E. H. 1981. Image and code: scope and limits of conventionalism in pictorial representation. In Image and Code, Steiner, W. (ed.). University of Michigan Press, 1042.Google Scholar
Gooding, D. C. 2004. Envisioning explanations—the art in science. Interdisciplinary Science Reviews 29, 278294.CrossRefGoogle Scholar
Goodman, N. 1976. Languages of Art: An Approach to the Theory of Symbols. Hackett.CrossRefGoogle Scholar
Hartle, J. B., Hawking, S. W. 1983. Wave function of the universe. Physical Review D 28, 29602975.CrossRefGoogle Scholar
Henderson, J. M., Ferreira, F. 2004. Scene perception for psycholinguists. In The Interface of Language, Vision, and Action: Eye Movements and the Visual World, Henderson, J. M. & Ferreira, F. (eds). Psychology Press, 158.Google Scholar
Hesse, M. B. 1966. Models and Analogies in Science. University of Notre Dame Press.Google Scholar
Jay, M. 1999. Must justice be blind? The challenge of images to the law. In Law and the Image: The Authority of Art and the Aesthetics of Law, Douzinas, C. & Nead, L. (eds). University of Chicago Press, 1935.Google Scholar
Josten, C. H. 1964. A translation of John Dee's ‘Monas Hieroglyphica’ (Antwerp, 1564), with an introduction and annotations. Ambix 12, 84221.CrossRefGoogle Scholar
Kaiser, D. 2005. Drawing Theories Apart: The Dispersion of Feynman Diagrams in Postwar Physics. University of Chicago Press.CrossRefGoogle Scholar
Keller, E. F. 1995. Refiguring Life: Metaphors of Twentieth-Century Biology. Columbia University Press.CrossRefGoogle Scholar
Kosslyn, S. M. 1980. Image and Mind. Harvard University Press.Google Scholar
Kosslyn, S. M., Pinker, S., Smith, G. E., Shwartz, S. P. 1979. On the demystification of mental imagery. Behavioral and Brain Sciences 2, 535581.CrossRefGoogle Scholar
Lakoff, G., Johnson, M. 1980. Metaphors We Live By. University of Chicago Press.Google Scholar
Leary, D. E. (ed.) 1990. Metaphors in the History of Psychology. Cambridge University Press.Google Scholar
Manning, J. 2004. The Emblem. Reaktion Books.Google Scholar
Mannozzi, G. 2002. From the ‘sword’ to dialogue: towards a ‘dialectic’ basis for penal mediation. In Restorative Justice: Theoretical Foundations, Weitekamp, E. G. M. & Kerner, H.-J. (eds). Willan, 224246.Google Scholar
Martens, R. 2000. Kepler's Philosophy and the New Astronomy. Princeton University Press.Google Scholar
Mazzolini, R. G. 1993. Non-Verbal Communication in Science Prior to 1900. Leo S. Olschki.Google Scholar
McAllister, J. W. 1996. Beauty and Revolution in Science. Cornell University Press.Google Scholar
McAllister, J. W. 1997. Laws of nature, natural history, and the description of the world. International Studies in the Philosophy of Science 11, 245258.CrossRefGoogle Scholar
Meynell, L. 2008. Why Feynman diagrams represent. International Studies in the Philosophy of Science 22, 3959.CrossRefGoogle Scholar
Miller, A. I. 1984. Imagery in Scientific Thought: Creating 20th-Century Physics. Birkhäuser.CrossRefGoogle Scholar
Mitchell, W. J. T. 1986. Iconology: Image, Text, Ideology. University of Chicago Press.CrossRefGoogle Scholar
Morgan, M. S., Morrison, M. (eds) 1999. Models as Mediators: Perspectives on Natural and Social Science. Cambridge University Press.CrossRefGoogle Scholar
Ortony, A. (ed.) 1993. Metaphor and Thought, 2nd edition. Cambridge University Press.CrossRefGoogle Scholar
Panofsky, E. 1939. Studies in Iconology: Humanistic Themes in the Art of the Renaissance. Oxford University Press.Google Scholar
Reeve, C. D. C. (ed.) 1998. Plato: Cratylus. Hackett.Google Scholar
Resnik, J., Curtis, D. 2011. Representing Justice: Invention, Controversy, and Rights in City-States and Democratic Courtrooms. Yale University Press.Google Scholar
Rollin, B. E. 1976. Natural and Conventional Meaning: An Examination of the Distinction. Mouton.CrossRefGoogle Scholar
Sandford-Couch, C. 2013. Challenging the primacy of text: the role of the visual in legal education. In The Moral Imagination and the Legal Life: Beyond Text in Legal Education, Bankowski, Z. & Del Mar, M. (eds). Ashgate, 145168.Google Scholar
Schweber, S. S. 1994. QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga. Princeton University Press.CrossRefGoogle Scholar
Scriven, M. 1961. The key property of physical laws—inaccuracy. In Current Issues in the Philosophy of Science, Feigl, H. & Maxwell, G. (eds). Holt, Reinhart and Winston, 91101.Google Scholar
Shepard, R. N., Cooper, L. A. 1982. Mental Images and Their Transformations. MIT Press.Google Scholar
Shepard, R. N., Metzler, J. 1971. Mental rotation of three-dimensional objects. Science 171, 701703.CrossRefGoogle ScholarPubMed
Shibles, W. A. 1971. Metaphor: An Annotated Bibliography and History. Language Press.Google Scholar
Shlain, L. 1998. The Alphabet Versus the Goddess: The Conflict between Word and Image. Viking.Google Scholar
Short, T. L. 2007. Peirce's Theory of Signs. Cambridge University Press.CrossRefGoogle Scholar
Sprat, T. 1667/1958. The History of the Royal Society, Cope, J. I. & Whitmore Jones, H. (eds). Washington University Studies.Google Scholar
Vickers, B. 1984. Analogy versus identity: the rejection of occult symbolism, 1580–1680. In Occult and Scientific Mentalities in the Renaissance, Vickers, B. (ed.). Cambridge University Press, 95163.CrossRefGoogle Scholar
Ward-Jackson, P. 2003. Public Sculpture of the City of London. Liverpool University Press.Google Scholar
Whitehead, A. N. 1926. Science and the Modern World. Cambridge University Press.Google Scholar