Fictionalism, theft, and the story of mathematics

Philosophia Mathematica 17 (2):131-162 (2009)
  Copy   BIBTEX

Abstract

This paper develops a novel version of mathematical fictionalism and defends it against three objections or worries, viz., (i) an objection based on the fact that there are obvious disanalogies between mathematics and fiction; (ii) a worry about whether fictionalism is consistent with the fact that certain mathematical sentences are objectively correct whereas others are incorrect; and (iii) a recent objection due to John Burgess concerning “hermeneuticism” and “revolutionism”

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

Understanding and Mathematical Fictionalism.B. Armour-Garb - 2011 - Philosophia Mathematica 19 (3):335-344.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
A Non-error Theory Approach to Mathematical Fictionalism.Phil Bériault - 2018 - In Amy Ackerberg-Hastings, Marion W. Alexander, Zoe Ashton, Christopher Baltus, Phil Bériault, Daniel J. Curtin, Eamon Darnell, Craig Fraser, Roger Godard, William W. Hackborn, Duncan J. Melville, Valérie Lynn Therrien, Aaron Thomas-Bolduc & R. S. D. Thomas (eds.), Research in History and Philosophy of Mathematics: The Cshpm 2017 Annual Meeting in Toronto, Ontario. Springer Verlag. pp. 181-189.
Revolutionary Fictionalism: A Call to Arms.Mary Leng - 2005 - Philosophia Mathematica 13 (3):277-293.
Kitcher, ideal agents, and fictionalism.Sarah Hoffman - 2004 - Philosophia Mathematica 12 (1):3-17.

Analytics

Added to PP
2009-05-23

Downloads
295 (#72,254)

6 months
20 (#139,007)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Mark Balaguer
California State University, Los Angeles

Citations of this work

Modal Idealism.David Builes - forthcoming - Oxford Studies in Philosophy of Mind.
Platonism in Metaphysics.Markn D. Balaguer - 2016 - Stanford Encyclopedia of Philosophy 1 (1):1.
Deflationary Theories of Properties and Their Ontology.Thomas Schindler - 2022 - Australasian Journal of Philosophy 100 (3):443-458.
Deflationary theories of properties and their ontology.Thomas Schindler - 2021 - Australasian Journal of Philosophy:1-16.

View all 42 citations / Add more citations

References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Models and reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
Mathematics and Reality.Mary Leng - 2010 - Oxford: Oxford University Press.
Constructibility and mathematical existence.Charles S. Chihara - 1990 - New York: Oxford University Press.
Go figure: A path through fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.

View all 27 references / Add more references