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
|
Text
313-3923-1-PB.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (265kB) | Preview |
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.
Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
Social Networking: |
Item Type: | Published Article or Volume | ||||||
---|---|---|---|---|---|---|---|
Creators: |
|
||||||
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 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Altmetric.com
Actions (login required)
View Item |