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Enthymemathical proofs and canonical proofs in Euclid's plane geometry
pp. 127-144
Abstrakt
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.
Publication details
Published in:
Tahiri Hassan (2018) The philosophers and mathematics: Festschrift for Roshdi Rashed. Dordrecht, Springer.
Seiten: 127-144
DOI: 10.1007/978-3-319-93733-5_7
Referenz:
Lassalle-Casanave Abel, Panza Marco (2018) „Enthymemathical proofs and canonical proofs in Euclid's plane geometry“, In: H. Tahiri (ed.), The philosophers and mathematics, Dordrecht, Springer, 127–144.