Understanding and Mathematical Fictionalism

Philosophia Mathematica 19 (3):335-344 (2011)
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Abstract

In a recent paper in this journal, Mark Balaguer develops and defends a new version of mathematical fictionalism, what he calls ‘Hermeneutic non-assertivism’, and responds to some recent objections to mathematical fictionalism that were launched by John Burgess and others. In this paper I provide some fairly compelling reasons for rejecting Hermeneutic non-assertivism — ones that highlight an important feature of what understanding mathematics involves (or, as we shall see, does not involve)

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Bradley Armour-Garb
State University of New York, Albany

Citations of this work

Fictionalism in the philosophy of mathematics.Mark Balaguer - 2008 - Stanford Encyclopedia of Philosophy.
Fictionalism.E. C. Bourne - 2013 - Analysis 73 (1):147-162.
Reply to Armour-Garb.M. Balaguer - 2011 - Philosophia Mathematica 19 (3):345-348.
The Implausibility of Hermeneutic Non-Assertivism.B. Armour-Garb - 2011 - Philosophia Mathematica 19 (3):349-353.

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References found in this work

Go figure: A path through fictionalism.Stephen Yablo - 2001 - Midwest Studies in Philosophy 25 (1):72–102.
Fictionalism, theft, and the story of mathematics.Mark Balaguer - 2009 - Philosophia Mathematica 17 (2):131-162.
Mathematics and bleak house.John P. Burgess - 2004 - Philosophia Mathematica 12 (1):18-36.

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