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Enthymemathical Proofs and Canonical Proofs in Euclid’s Plane Geometry

  • Abel Lassalle-CasanaveEmail author
  • Marco Panza
Chapter
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Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 43)

Abstract

Since the application of Postulate I.2 in Euclid’s Elements is not uniform, one could wonder in what way should it be applied in Euclid’s plane geometry. Besides legitimizing questions like this 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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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.UFBA, CNPqSalvadorBrazil
  2. 2.IHPST-CNRS, Université Paris 1ParisFrance
  3. 3.Chapman UniversityOrange (CA)USA

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