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Publication details
Verlag: Springer
Ort: Berlin
Jahr: 2018
Pages: 127-144
Reihe: Logic, Epistemology, and the Unity of Science
ISBN (Hardback): 9783319937328
Volle Referenz:
, "Enthymemathical proofs and canonical proofs in Euclid's plane geometry", in: The philosophers and mathematics, Berlin, Springer, 2018
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Enthymemathical proofs and canonical proofs in Euclid's plane geometry
pp. 127-144
in: Hassan Tahiri (ed), The philosophers and mathematics, Berlin, Springer, 2018Abstrakt
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
Verlag: Springer
Ort: Berlin
Jahr: 2018
Pages: 127-144
Reihe: Logic, Epistemology, and the Unity of Science
ISBN (Hardback): 9783319937328
Volle Referenz:
, "Enthymemathical proofs and canonical proofs in Euclid's plane geometry", in: The philosophers and mathematics, Berlin, Springer, 2018