Mathematics: Truth and Fiction? Review of Mark Balaguer's Platonism and Anti-Platonism in Mathematics

Philosophia Mathematica 7 (3):336-349 (1999)
  Copy   BIBTEX


Mark Balaguer’s project in this book is extremely ambitious; he sets out to defend both platonism and fictionalism about mathematical entities. Moreover, Balaguer argues that at the end of the day, platonism and fictionalism are on an equal footing. Not content to leave the matter there, however, he advances the anti-metaphysical conclusion that there is no fact of the matter about the existence of mathematical objects.1 Despite the ambitious nature of this project, for the most part Balaguer does not shortchange the reader on rigor; all the main theses advanced are argued for at length and with remarkable clarity and cogency. There are, of course, gaps in the account but these should not be allowed to overshadow the sig-



    Upload a copy of this work     Papers currently archived: 93,296

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

Just what is full-blooded platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
Platonism and Anti-Platonism in Mathematics. [REVIEW]Matthew McGrath - 2001 - Philosophy and Phenomenological Research 63 (1):239-242.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
Problems with profligate platonism.Colin Cheyne - 1999 - Philosophia Mathematica 7 (2):164-177.
Platonism and anti‐Platonism: Why worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Critical Notices.[author unknown] - 2007 - Philosophy and Phenomenological Research 63 (1):239-242.
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.


Added to PP

27 (#609,703)

6 months
414 (#4,241)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Edward Zalta
Stanford University
Mark Colyvan
University of Sydney

Citations of this work

There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
Mathematical and Moral Disagreement.Silvia Jonas - 2020 - Philosophical Quarterly 70 (279):302-327.

View all 12 citations / Add more citations

References found in this work

No references found.

Add more references