Platonism and anti-Platonism in mathematics

New York: Oxford University Press (1998)
  Copy   BIBTEX

Abstract

In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do not currently have any good argument for or against platonism, but that we could never have such an argument and, indeed, that there is no fact of the matter as to whether platonism is correct.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,127

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 - Bulletin of Symbolic Logic 8 (4):516-518.
Platonism and Anti-Platonism in Mathematics. [REVIEW]Matthew McGrath - 2001 - Philosophy and Phenomenological Research 63 (1):239-242.
Platonism and anti-platonism in mathematics. [REVIEW]Mary Leng - 2002 - Bulletin of Symbolic Logic 8 (4):516-517.
Platonism and Anti-Platonism in Mathematics.John P. Burgess - 2001 - Philosophical Review 110 (1):79.
Platonism and anti-platonism in mathematics.John P. Burgess - 2001 - Philosophical Review 110 (1):79-82.
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.
Review of M. Balaguer, Platonism and Anti-platonism in Mathematics[REVIEW]Jm Dieterle - 1999 - British Journal for the Philosophy of Science 50 (4):775-780.
Just what is full-blooded platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
Critical Notices.[author unknown] - 2007 - Philosophy and Phenomenological Research 63 (1):239-242.

Analytics

Added to PP
2009-01-28

Downloads
34 (#485,615)

6 months
365 (#5,339)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Mark Balaguer
California State University, Los Angeles

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.

View all 169 citations / Add more citations

References found in this work

No references found.

Add more references