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.

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

Copyright

Springer

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