Nominalism

In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press. pp. 483--514 (2005)
  Copy   BIBTEX

Abstract

Nominalism is the view that abstract mathematical objects like numbers, functions, and sets do not exist. The chapter articulates and defends a variety of nominalism, based on a reading of mathematical statements in terms of possible linguistic constructions. The chapter responds directly to a recent study of nominalism by Gideon Rosen and John Burgess, and develops a reply to the Quine-Putnam indispensability argument for the existence of mathematical objects.

Categories

Add categories

Keywords

Reprint years

DOI

10.1093/0195148770.003.0015

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,774

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

Anti-nominalism reconsidered.David Liggins - 2007 - Philosophical Quarterly 57 (226):104–111.
Mathematical Nominalism.James Henry Collin - 2022 - Internet Encyclopedia of Philosophy.
Nominalism Reconsidered.John P. Burgess & Gideon Rosen - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford and New York: Oxford University Press.
Indispensability arguments and instrumental nominalism.Richard Pettigrew - 2012 - Review of Symbolic Logic 5 (4):687-709.
No Reservations Required? Defending Anti-Nominalism.Alan Baker - 2010 - Studia Logica 96 (2):127-139.
Deflationary Nominalism and Puzzle Avoidance.David Mark Kovacs - 2019 - Philosophia Mathematica 27 (1):88-104.
Nominalism and Mathematical Intuition.Otávio Bueno - 2008 - In Gerhard Preyer (ed.), Philosophy of Mathematics: Set Theory, Measuring Theories, and Nominalism. Frankfort, Germany: Ontos. pp. 93-111.
Nominalism.Ghislain Guigon - 2019 - Routledge Encyclopedia of Philosophy.
Mathematical nominalism and measurement.Davide Rizza - 2010 - Philosophia Mathematica 18 (1):53-73.
Non‐Factualism Versus Nominalism.Matteo Plebani - 2017 - Pacific Philosophical Quarterly 98 (3).

Analytics

Added to PP
2014-02-01

Downloads
54 (#98,306)

6 months
12 (#1,086,452)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

How to be a compatibilist in metaphysics: The epistemic strategy.Massimiliano Carrara & Vittorio Morato - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy:1-25.

View all 7 citations / Add more citations

References found in this work

No references found.

Add more references