TY - JOUR
AU - Michele Ginammi
PY - 2016/12/22
Y2 - 2020/08/09
TI - The Applicability of Mathematics and the Indispensability Arguments
JF - Lato Sensu: Revue de la Société de philosophie des sciences
JA - Lato Sensu
VL - 3
IS - 1
SE - Actes du congrès de 2014 (métaphysique des sciences)
DO - 10.20416/lsrsps.v3i1.313
UR - https://ojs.uclouvain.be/index.php/latosensu/article/view/3193
AB - 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.
ER -