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Platonism, Metaphor, and Mathematics

Published online by Cambridge University Press:  13 April 2010

Glenn G. Parsons
Affiliation:
University of Toronto
James Robert Brown
Affiliation:
University of Toronto

Abstract

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Type
Articles
Copyright
Copyright © Canadian Philosophical Association 2004

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References

Brown, James Robert 2001 Who Rules in Science? A Guide to the Wars. Cambridge, MA: Harvard University PressCrossRefGoogle Scholar
Frege, Gottlob 1971 On the Foundations of Geometry and Formal Theories of Arithmetic. Translated and edited by Kluge, E. H.. New Haven, CT: Yale University Press.Google Scholar
Gödel, Kurt 1974a “Russell's Mathematical Logic.” In Philosophy of Mathematics. Edited by Benacerraf, P. and Putnam, H.. Cambridge: Cambridge University Press.Google Scholar
Gödel, Kurt 1974b “What Is Cantor's Continuum Problem?” In Philosophy of Mathematics. Edited by Benacerraf, P. and Putnam, H.. Cambridge: Cambridge University Press.Google Scholar
Gold, Bonnie 2001 Review of Lakoff and Núñez (2000). MAA Online (http://www.maa.org/reviews/wheremath.html.Google Scholar
Hardy, Godfrey Harold 1993 A Mathematician's Apology. Cambridge: Cambridge University Press.Google Scholar
Hersh, Ruben 1997 What Is Mathematicsi—Really? Oxford: Oxford University Press.Google Scholar
Lakoff, George, and Johnson, Mark 1980 Metaphors We Live By. Chicago, IL: University Chicago Press.Google Scholar
Lakoff, George, and Johnson, Mark 1999 Philosophy in the Flesh. Berkeley, CA: University of California Press.Google Scholar
Lakoff, George, and Núñez, Rafael 2000 Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. New York: Basic Books.Google Scholar
Murphy, Gregory 1996On Metaphoric Representation.” Cognition, 60: 173204.CrossRefGoogle ScholarPubMed
Paulos, John Allen 2001Math at 98.6°.American Scholar, 70: 151–52.Google Scholar
Plato, 1956 Meno. Translated by Guthrie, W. K. C.. London: Penguin Books.Google Scholar
Plato, 1993 Republic. Translated by Waterfield, Robin. Oxford: Oxford University Press.Google Scholar
Russell, Bertrand 1918 “The Study of Mathematics.” In Mysticism and Logic and Other Essays. London: Longmans, Green, pp. 5873.Google Scholar