Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-19T12:51:10.846Z Has data issue: false hasContentIssue false
  • English
  • Français

Platonism, Metaphor, and Mathematics

Published online by Cambridge University Press:  13 April 2010

Glenn G. Parsons  and
James Robert Brown
Glenn G. Parsons
Affiliation:
University of Toronto
James Robert Brown
Affiliation:
University of Toronto
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Articles
Information
Dialogue: Canadian Philosophical Review / Revue canadienne de philosophie , Volume 43 , Issue 1 , Winter 2004 , pp. 47 - 66
Copyright
Copyright © Canadian Philosophical Association 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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 1996 “On Metaphoric Representation.” Cognition, 60: 173–204.CrossRefGoogle ScholarPubMed
Paulos, John Allen 2001 “Math 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. 58–73.Google Scholar