The Advent of the Philosophy of Mathematical Practice

Pérez Escobar, José Antonio. (2017). The Advent of the Philosophy of Mathematical Practice Master Thesis, Universidad Nacional de Educación a Distancia (España). Facultad de Filosofía

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Título The Advent of the Philosophy of Mathematical Practice
Autor(es) Pérez Escobar, José Antonio
Resumen Both philosophy and mathematics are ancient academic disciplines whose presence in human affairs can be traced back to very early written remains. Eventually, mathematics itself became a subject of philosophical inquiry, and philosophy of mathematics came to be. It is precisely because of the early appearance of mathematics in the history of humankind that philosophy of mathematics is much older than the philosophy of other academic disciplines, like philosophy of biology, or even philosophy of physics. Not only that, but many of the ideas developed by Greek philosophers in philosophy of mathematics prevail to this day. The legacy of platonism, for example, is such that it remains one of the most popular metaphysical assumptions among not only practicing mathematicians, but also among other academics who make use of applied mathematics in their fields of knowledge and the general population. However, a generation of philosophers originated in the second half of the 20th century and pioneered by Imre Lakatos and Philip Kitcher has noted that, in spite of the long track of philosophy of mathematics and the considerable number of school of thoughts in the discipline, the focus of philosophers of mathematics has been quite limited. The practical aspects of mathematics, that is, how mathematics is done as a whole, have been neglected for the most part. On the other hand, the philosophy of empirical sciences, even with a shorter history at its back, enjoys a broader range of topics among its repertoire. This is, in part, due to a number of particularities of mathematics as a field of knowledge, a lack of philosophical reflection on such mathematical idiosyncrasy, and a passive and limited in scope history of mathematics. In this essay, I shall provide an overview of the differences between the traditional philosophy of mathematics and the philosophy of mathematical practice. Moreover, I will explore the philosophical milestones that gave rise to the genesis of the latter, and discuss the role of the central pillars that currently keep it afloat.
Notas adicionales Trabajo de Fin de Máster. Máster Universitario en Filosofía Teórica y Práctica. Especialidad de Lógica, Historia y Filosofía de la Ciencia. UNED
Materia(s) Filosofía
Editor(es) Universidad Nacional de Educación a Distancia (España). Facultad de Filosofía
Director/Tutor Teira Serrano, David
Fecha 2017-10-10
Formato application/pdf
Identificador bibliuned:masterFilosofiaLogica-Japerez
Idioma eng
Versión de la publicación acceptedVersion
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Tipo de recurso master Thesis
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Creado: Wed, 15 Nov 2017, 22:20:01 CET