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(2018) The philosophers and mathematics, Dordrecht, Springer.
Enthymemathical proofs and canonical proofs in Euclid's plane geometry
Abel Lassalle-Casanave , Marco Panza
pp. 127-144
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
DOI: 10.1007/978-3-319-93733-5_7
Full citation:
Lassalle-Casanave, A. , Panza, M. (2018)., Enthymemathical proofs and canonical proofs in Euclid's plane geometry, in H. Tahiri (ed.), The philosophers and mathematics, Dordrecht, Springer, pp. 127-144.
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