ON EUCLID’S FIVE POSTULATES
DOI:
10.47976/RBHM2015v15n3013-22Keywords:
Mathematics and Philosophy, History of Geometry, Euclid, PostulatesAbstract
The five postulates of Euclid’s Elements are meta-mathematically deduced from philosophical principles in a historically appropriate way and, thus, the Euclidean a priori conception of geometry becomes apparent.
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References
ACERBI, Fabio 2007. Euclide. Tutte le Opere. Milano.
FOSSA, John A. 2013. On Euclid’s First Three Postulates. In : Revista Brasileira de História da Matemática, vol. 13, n° 26. 41-46.
HEATH, Thomas L. 1956. The thirteen books of Euclid’s Elements. Volume I. New York.
LACHTERMAN, David R. 1989. The Ethics of Geometry. New York.
LORENZEN, Paul 1984. Elementargeometrie. Mannheim, Wien, Zürich.
MUELLER, Ian 1981. Philosophy of mathematics and deductive structure in Euclid's Elements. Cambridge, Mass.
FOSSA, John A. 2013. On Euclid’s First Three Postulates. In : Revista Brasileira de História da Matemática, vol. 13, n° 26. 41-46.
HEATH, Thomas L. 1956. The thirteen books of Euclid’s Elements. Volume I. New York.
LACHTERMAN, David R. 1989. The Ethics of Geometry. New York.
LORENZEN, Paul 1984. Elementargeometrie. Mannheim, Wien, Zürich.
MUELLER, Ian 1981. Philosophy of mathematics and deductive structure in Euclid's Elements. Cambridge, Mass.
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Published
2020-10-30
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How to Cite
SCHNEIDER, Gregor. ON EUCLID’S FIVE POSTULATES. Brazilian Journal on the History of Mathematics, São Paulo, vol. 15, no. 30, p. 13–22, 2020. DOI: 10.47976/RBHM2015v15n3013-22. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/81. Acesso em: 22 dec. 2024.
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