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 | ||||||
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| Keywords: | Philosophy of Mathematics; Indispensability Argument; Mathematical Explanation; Applicability of Mathematics; Metaphysics; Mathematical Realism | ||||||
| Subjects: | Specific Sciences > Mathematics > Applicability Specific Sciences > Mathematics |
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| 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 |
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| 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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