Abstract

LASSALLE CASANAVE, Abel  and  PANZA, Marco. Enthymematic Proves and Canonical Proves in Euclides’ Plane Geometry. Rev. latinoam. filos. [online]. 2015, vol.41, n.2, pp.147-170. ISSN 1852-7353.

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.

Keywords : Proof; Euclid; Philosophy of mathematical practice.