Publicación: Showing mathematical flies the way out of foundational bottles: the later Wittgenstein as a forerunner of Lakatos and the philosophy of mathematical practice
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2022-01-12
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info:eu-repo/semantics/openAccess
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De Gruyter
Resumen
This work explores the later Wittgenstein’s philosophy of mathematics in relation to Lakatos’ philosophy of mathematics and the philosophy of mathematical practice. I argue that, while the philosophy of mathematical practice typically identifies Lakatos as its earliest of predecessors, the later Wittgenstein already developed key ideas for this community a few decades before. However, for a variety of reasons, most of this work on philosophy of mathematics has gone relatively unnoticed. Some of these ideas and their significance as precursors for the philosophy of mathematical practice will be presented here, including a brief reconstruction of Lakatos’ considerations on Euler’s conjecture for polyhedra from the lens of late Wittgensteinian philosophy. Overall, this article aims to challenge the received view of the history of the philosophy of mathematical practice and inspire further work in this community drawing from Wittgenstein’s late philosophy.
Descripción
The registered version of this article, first published in KRITERION – Journal of Philosophy, is available online at the publisher's website: De Gruyter, https://doi.org/10.1515/krt-2021-0041
La versión registrada de este artículo, publicado por primera vez en KRITERION – Journal of Philosophy, está disponible en línea en el sitio web del editor: De Gruyter, https://doi.org/10.1515/krt-2021-0041
La versión registrada de este artículo, publicado por primera vez en KRITERION – Journal of Philosophy, está disponible en línea en el sitio web del editor: De Gruyter, https://doi.org/10.1515/krt-2021-0041
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Palabras clave
later Wittgenstein, Lakatos, philosophy of mathematical practice, apriorism, rule following, rule bending, rules of description
Citación
Pérez-Escobar, J. (2022). Showing Mathematical Flies the Way Out of Foundational Bottles: The Later Wittgenstein as a Forerunner of Lakatos and the Philosophy of Mathematical Practice. KRITERION – Journal of Philosophy, 36(2), 157-178. https://doi.org/10.1515/krt-2021-0041
Centro
Facultades y escuelas::Facultad de Filosofía
Departamento
Lógica, Historia y Filosofía de la Ciencia