Linguistique de l’écrit

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178200

Enthymemathical proofs and canonical proofs in Euclid's plane geometry

Abel Lassalle-Casanave Marco Panza(Centre national de la recherche scientifique)

pp. 127-144

Résumé

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.

Détails de la publication

Publié dans:

Tahiri Hassan (2018) The philosophers and mathematics: Festschrift for Roshdi Rashed. Dordrecht, Springer.

Pages: 127-144

DOI: 10.1007/978-3-319-93733-5_7

Citation complète:

Lassalle-Casanave Abel, Panza Marco, 2018, Enthymemathical proofs and canonical proofs in Euclid's plane geometry. In H. Tahiri (ed.) The philosophers and mathematics (127-144). Dordrecht, Springer.