Mathematics and bleak house

Philosophia Mathematica 12 (1):18-36 (2004)
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Abstract

The form of nominalism known as 'mathematical fictionalism' is examined and found wanting, mainly on grounds that go back to an early antinominalist work of Rudolf Carnap that has unfortunately not been paid sufficient attention by more recent writers

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10.1093/philmat/12.1.18

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John Burgess
Princeton University

Citations of this work

Carnap and ontological pluralism.Matti Eklund - 2009 - In Ryan Wasserman, David Manley & David Chalmers (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford, England: Oxford University Press. pp. 130--56.
Fictionalism.Matti Eklund - 2010 - Stanford Encyclopedia of Philosophy.
A fictionalist theory of universals.Tim Button & Robert Trueman - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
Platonism in Metaphysics.Markn D. Balaguer - 2016 - Stanford Encyclopedia of Philosophy 1 (1):1.

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References found in this work

Empiricism, Semantics and Ontology.Rudolf Carnap - 1950 - Revue Internationale de Philosophie 4 (11):20-40.
Philosophy of mathematics: structure and ontology.Stewart Shapiro - 1997 - New York: Oxford University Press.
Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford, England: Oxford University Press USA.
A subject with no object: strategies for nominalistic interpretation of mathematics.John P. Burgess & Gideon Rosen - 1997 - New York: Oxford University Press. Edited by Gideon A. Rosen.

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