Enthymematic Proves and Canonical Proves in Euclides’ Plane Geometry

Authors

  • Abel Lassalle Casanave Universidade Federal da Bahia; Conselho Nacional de Desenvolvimento Cientifico e Tecnológico
  • Marco Panza Centre National de la Recherche Scientifique; Institut d'Histoire et de Philosophie des Sciences et des Techniques

Keywords:

proof, Euclid, philosophy of mathematical practice

Abstract

Since the application of Postulate I.2 in the Elements is not uniform, one could wonder in what way should it be applied in Euclid’s plane geometry. Besides legitimizing the question itself from the perspective of a philosophy of mathematical practice, we sketch a general perspective of conceptual analysis of mathematical texts, which involves an extended notion of mathematical theory as system of authorizations, and an audience-dependent notion of proof.

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Published

2015-11-30

How to Cite

Lassalle Casanave, A., & Panza, M. (2015). Enthymematic Proves and Canonical Proves in Euclides’ Plane Geometry. Latin American Journal of Philosophy, 41(2), 147–170. Retrieved from https://www.rlfcif.org.ar/index.php/RLF/article/view/61

Issue

Vol. 41 No. 2 (2015)

Section

Articles