Platonism and Anti-Platonism in Mathematics [Book Review]

Philosophy and Phenomenological Research 63 (1):239-242 (2001)
  Copy   BIBTEX

Abstract

Mark Balaguer has written a provocative and original book. The book is as ambitious as a work of philosophy of mathematics could be. It defends both of the dominant views concerning the ontology of mathematics, Platonism and Anti-Platonism, and then closes with an argument that there is no fact of the matter which is right.

Categories

Keywords

Reprint years

ISBN(s)

00318205

DOI

10.2307/3071098

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

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

Through your library

My notes

Similar books and articles

Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
Just what is full-blooded platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
Mathematics: Truth and Fiction? Review of Mark Balaguer's Platonism and Anti-Platonism in Mathematics.Mark Colyvan & Edward N. Zalta - 1999 - Philosophia Mathematica 7 (3):336-349.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
Review of Mark Balaguer: Platonism and Anti-Platonism in Mathematics. [REVIEW]Mark Balaguer & J. M. Dieterle - 1999 - British Journal for the Philosophy of Science 50 (4):775-780.
Platonism and Anti-Platonism in Mathematics.John P. Burgess - 2001 - Philosophical Review 110 (1):79.
Platonism and anti-platonism in mathematics. [REVIEW]Mary Leng - 2002 - Bulletin of Symbolic Logic 8 (4):516-517.
Platonism and anti‐Platonism: Why worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Is there a good epistemological argument against platonism?David Liggins - 2006 - Analysis 66 (2):135–141.
Platonism and anti-platonism in mathematics.John P. Burgess - 2001 - Philosophical Review 110 (1):79-82.
Platonism and Anti-Platonism in Nicholas of Cusa’s Philosophy of Mathematics.Vittorio Hösle - 1990 - Graduate Faculty Philosophy Journal 13 (2):79-112.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
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.
Why and How Platonism?Guillermo Rosado Haddock - 2007 - Logic Journal of the IGPL 15 (5-6):621-636.
An anti-realist account of the application of mathematics.Otávio Bueno - 2016 - Philosophical Studies 173 (10):2591-2604.

Analytics

Added to PP
2011-01-09

Downloads
125 (#141,621)

6 months
8 (#342,364)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Matthew McGrath
Washington University in St. Louis

Citations of this work

What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Springer.
Go figure: A path through fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.
Modal Objectivity.Clarke-Doane Justin - 2019 - Noûs 53:266-295.
Metaphysical and absolute possibility.Justin Clarke-Doane - 2019 - Synthese 198 (Suppl 8):1861-1872.
Explanatory Challenges in Metaethics.Joshua Schechter - 2017 - In Tristram Colin McPherson & David Plunkett (eds.), The Routledge Handbook of Metaethics. New York: Routledge. pp. 443-459.

View all 82 citations / Add more citations

References found in this work

No references found.

Add more references