Is an Unpictorial Mathematical Platonism Possible?

Journal of Philosophical Research 27:201-214 (2002)
  Copy   BIBTEX

Abstract

In his book Wittgenstein on the Foundations of Mathematics, Crispin Wright notes that remarkably little has been done to provide an unpictorial, substantial account of what mathematical platonism comes to. Wright proposes to investigate whether there is not some more substantial doctrine than the familiar images underpinning the platonist view. He begins with the suggestion that the essential platonist claim is that mathematical truth is objective. Although he does not demarcate them as such, Wright proposes several different tests for objectivity. The paper finds problems with each of these tests.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,616

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
The nature of mathematical objects.Øystein Linnebo - 2008 - In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 205--219.
Platonism and anti‐Platonism: Why worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Wittgenstein's Anti-Platonism.Sílvio Pinto - 1998 - Grazer Philosophische Studien 56 (1):109-132.
A platonist epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.
Provability and mathematical truth.David Fair - 1984 - Synthese 61 (3):363 - 385.
Problems with profligate platonism.Colin Cheyne - 1999 - Philosophia Mathematica 7 (2):164-177.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
Fictionalism in the philosophy of mathematics.Mark Balaguer - 2008 - Stanford Encyclopedia of Philosophy.
Knowledge of Mathematical Objects.Mark Augustan Balaguer - 1992 - Dissertation, City University of New York

Analytics

Added to PP
2011-01-19

Downloads
62 (#234,653)

6 months
1 (#1,042,085)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references