Publicación: Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy
No hay miniatura disponible
Fecha
2021-12-23
Editor/a
Director/a
Tutor/a
Coordinador/a
Prologuista
Revisor/a
Ilustrador/a
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
ISSN de la revista
Título del volumen
Editor
Springer Nature
Resumen
In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse different evaluative standards for theories. We evaluate the distinction between pure and applied mathematics from a late Wittgensteinian perspective. We note that the classical exegesis of the later Wittgenstein’s philosophy of mathematics, due to Maddy, leads to a clear-cut but misguided demarcation. We then turn our attention to a more niche interpretation of Wittgenstein by Dawson, which captures aspects of the aforementioned distinction more accurately. Building on this newer, maverick interpretation of the later Wittgenstein’s philosophy of mathematics, and endorsing an extended notion of meaning as use which includes social, mundane uses, we elaborate a fuzzy, but more realistic, demarcation. This demarcation, relying on family resemblance, is based on how direct and intended technical applications are, the kind of evaluative standards featured, and the range of rhetorical purposes at stake.
Descripción
The registered version of this article, first published in European Journal for Philosophy of Science, is available online at the publisher's website: Springer Nature, https://doi.org/10.1007/s13194-021-00435-9
La versión registrada de este artículo, publicado por primera vez en European Journal for Philosophy of Science, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s13194-021-00435-9DOI
La versión registrada de este artículo, publicado por primera vez en European Journal for Philosophy of Science, está disponible en línea en el sitio web del editor: Springer Nature, https://doi.org/10.1007/s13194-021-00435-9DOI
Categorías UNESCO
Palabras clave
later Wittgenstein, theory choice, meaning as use, meaning of mathematics, embodied mathematics, philosophy of applied mathematics, philosophy of mathematics
Citación
Pérez-Escobar, J.A., Sarikaya, D. Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy. Euro Jnl Phil Sci 12, 1 (2022). https://doi.org/10.1007/s13194-021-00435-9
Centro
Facultades y escuelas::Facultad de Filosofía
Departamento
Lógica, Historia y Filosofía de la Ciencia