Dianoia 66 (86):129-144 (2021)

Abstract
Resumen En esta discusión expongo algunas objeciones a las siguientes tesis de Velázquez 2020: 1) que tanto Descartes como Frege sostienen que las entidades aritméticas son irreductibles a procesos empíricos; 2) que, en el caso de Descartes, dichas entidades son “perennes, inherentes a la propia constitución y funcionamiento de la mente” y 3) que Frege impugnó la filosofía matemática de Mill por psicologista. Sostengo que la segunda tesis no es, per se, controversial, pero que sí lo es en el contexto del artículo de Velázquez.In this discussion I present objections to the following theses in Velázquez 2020: 1) that both Descartes and Frege maintain that arithmetic entities are irreducible to empirical processes; 2) that, in the case of Descartes, these entities are “perennial, inherent to the very constitution and functioning of the mind”, and 3) that Frege contested Mill’s mathematical philosophy for being psychologistic. I argue that the second thesis is not, per se, controversial, but that it is controversial in the context of Velázquez’s article.
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DOI 10.22201/iifs.18704913e.2021.86.1800
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The Value of Science.Henri Poincaré - 1958 - New York: Dover Publications.
Frege, Kant, and the Logic in Logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
Philosophy of Mathematics.Øystein Linnebo - 2017 - Princeton, NJ: Princeton University Press.

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