ON EUCLID’S FIRST THREE POSTULATES

Authors

  • John A. Fossa jfossa@oi.com.br
    Depto. de Matemática UFRN – Natal, RN

DOI:

10.47976/RBHM2013v13n2641-46

Keywords:

Mathematics and Philosophy, History of Geometry, Euclid, Postulates

Abstract

An analysis of the first three postulates of Euclid’s Elements indicates that the Elements may be a theorizing of surveying, an activity understood as being involved in the creation of the cosmos, and, thus, mathematics may be understood as mimesis of the divine.

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References

BURKERT, Walter. Lore and Science in Ancient Pythagoreanism. (Edwin L. Minar, Jr., Trad.) Cambridge (MA): Harvard UP, 1972.

CORNFORD, F. M. From Religion to Philosophy. New York: Harper Torchbooks, 1957.

DAUBEN, Joseph W. The “Pythagorean Theorem” and Chinese Mathematics. In Sergei Demidov, David Rowe, Meno Folkerts & Christoph Scriba (Eds.). Amphora: Festschrift für
Hans Wussing zu seeinem 65. Geburtstag. Basel: Birkhäuser, 1992. P. 133-156.

ERICKSON, Glenn W., & John A. FOSSA. A Linha Dividida: Uma Abordagem Matemática à Filosofia Platônica. Rio de Janeiro: Relume Dumará, 2006.

ERICKSON, Glenn W., & John A. FOSSA. A Pirâmide Platônica. João Pessoa: Editora da UFPb, 1996.

EUCLID. The Thirteen Books of the Elements. (T. L. Heath, Trad.) New York: Dover, 1956.

EUCLIDES. Os Elementos. (Irineu Bicudo, Trad.) São Paulo: Editora UNESP, 2009.

FOSSA, John A. Cabelos Negros, Olhos Azuis e Outras Feições das Matemáticas Puras e Aplicadas. Natal: Editora da UFRN, 2008.

Published

2020-10-31

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Visualizações do artigo: 219     PDF (Português (Brasil)) downloads: 111

How to Cite

FOSSA, John A. ON EUCLID’S FIRST THREE POSTULATES. Brazilian Journal on the History of Mathematics, São Paulo, vol. 13, no. 26, p. 41–46, 2020. DOI: 10.47976/RBHM2013v13n2641-46. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/122. Acesso em: 24 nov. 2024.

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