ON EUCLID’S FIVE POSTULATES

Authors

  • Gregor Schneider gregor.schneider@lrz.uni-muenchen.de
    Munich Center for Mathematical Philosophy – LMU – Munich – Germany

DOI:

10.47976/RBHM2015v15n3013-22

Keywords:

Mathematics and Philosophy, History of Geometry, Euclid, Postulates

Abstract

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.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

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.

Published

2020-10-30

Métricas


Visualizações do artigo: 215     PDF (Português (Brasil)) downloads: 137

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://mail.rbhm.org.br/index.php/RBHM/article/view/81. Acesso em: 25 nov. 2024.

Issue

Section

Artigos