Document Type
Book
Publication Date
8-15-2018
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.
Recommended Citation
Lassalle-Casanave, A., Panza, M. (2018). Enthymemathical Proofs and Canonical Proofs in Euclid’s Plane Geometry. In: Tahiri, H. (eds) The Philosophers and Mathematics. Logic, Epistemology, and the Unity of Science, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-93733-5_7
Copyright
Springer
Included in
Algebraic Geometry Commons, Geometry and Topology Commons, Logic and Foundations Commons, Logic and Foundations of Mathematics Commons, Other Mathematics Commons
Comments
This is a pre-copy-editing, author-produced PDF of a chapter accepted for publication in Hassan Tahiri (Ed.), The Philosophers and Mathematics. Logic, Epistemology, and the Unity of Science. This version may not exactly replicate the final published version. https://doi.org/10.1007/978-3-319-93733-5_7