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The Applicability of Mathematics and the Indispensability Arguments

Ginammi, Michele (2016) The Applicability of Mathematics and the Indispensability Arguments. Lato Sensu, revue de la Société de philosophie des sciences, 3 (1). pp. 59-68. ISSN 2295-8029

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Abstract

In this paper I will take into examination the relevance of the main indispensability arguments (Quine’s and Colyvan’s, Putnam’s, and explanatory indispensability argument) for the comprehension of the applicability of mathematics. I will conclude not only that none of these indispensability arguments are of any help for understanding mathematical applicability, but also that these arguments rather require a preliminary analysis of the problems raised by the applicability of mathematics in order to avoid some tricky difficulties in their formulations. As a consequence, we cannot any longer consider the applicability problems as subordinate to ontological ones: no ontological stance on mathematical entities (or truths) can offer an easy road to the comprehension of the applicability of mathematics.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Ginammi, Michelemginammi@gmail.com
Keywords: Philosophy of Mathematics; Indispensability Argument; Mathematical Explanation; Applicability of Mathematics; Metaphysics; Mathematical Realism
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics
Depositing User: Lato Sensu
Date Deposited: 25 Feb 2017 16:00
Last Modified: 07 May 2017 16:30
Item ID: 12848
Journal or Publication Title: Lato Sensu, revue de la Société de philosophie des sciences
Publisher: Société de philosophie des sciences
Official URL: http://sites.uclouvain.be/latosensu/index.php/lato...
DOI or Unique Handle: 10.20416/lsrsps.v3i1.313
Subjects: Specific Sciences > Mathematics > Applicability
Specific Sciences > Mathematics
Date: December 2016
Page Range: pp. 59-68
Volume: 3
Number: 1
ISSN: 2295-8029
URI: https://philsci-archive.pitt.edu/id/eprint/12848

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