THE OEDIPUS MYTH AS MATHEMATICAL ALLEGORY

Autores

  • John A. Fossa jfossa@oi.com.br
    Departamento de Matemática, UFRN
  • Glenn W. Erickson glennwerickson@gmail.com
    Departamento de Filosofia, UFRN

DOI:

10.47976/RBHM2014v14n2931-58

Palavras-chave:

Ancient Philosophy, Ancient Mathematics, Mathematical Allegory, Oedipus, pre-astrology

Resumo

We posit that, for many ancient thinkers, mathematical allegory was a fundamental theoretical construct in their understanding of the universe. The procedure is to establish a noteworthy mathematical structure which suggests certain physical or social applications (interpretations). We illustrate the method in regard to the Oedipus myth. Thus, we use the practice of measuring with stretched ropes to elaborate, via Pythagorean number theory, an alternative classification of triangles to that of Euclid and show how to make a perspicuous geometric representation of triangles so classified. The representation obtained is seen to be
a primitive astral map, whose salient features, especially when considered in light of the macrocosm/microcosm analogy, suggest to the poetic imagination details of the Oedipus myth. Oedipus’ destiny would have been determined by casting lots on the astral map. Apparently his lot fell where “three roads meet,” which can then be interpreted as showing that the Oedipus myth (as well as Sophocles play Oedipus Rex) was understood to be a version of the Green Child myth.

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Referências

DAUBEN, Joseph W. 1992. The ‘Pythagorean Theorem’ and Chinese Mathematics. In: Amphora: Festschrift für Hans Wussing zu seinem 65. Gebertstag, edited by Sergei Demidov, David Rowe, Menso Folkerts & Christoph Scriba, 133-156. Basel: Birkhäuser.

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

EUCLID. [1908] 1956. The Elements. Translation and commentary by Thomas L. Heath. New York: Dover.

FOSSA, John A. (2013). A Note on Euclid’s First Three Postulates. Revista Brasileira de História da Matemática v.13, n. 26.

FOSSA, John A. & Glenn W. ERICKSON. 1994. O Número Nupcial no Livro VIII da República. Cadernos de História e Filosofia da Ciência (Campinas, SP) 3: 9-23.

FOSSA, John A. & Glenn W. ERICKSON. 2001. The Lord over Better and Worse Births. The College Mathematics Journal 32.3: 185-193.

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Publicado

31-10-2020

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Visualizações do artigo: 319     PDF downloads: 154

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FOSSA, John A.; ERICKSON, Glenn W. THE OEDIPUS MYTH AS MATHEMATICAL ALLEGORY. Revista Brasileira de História da Matemática, São Paulo, v. 14, n. 29, p. 31–58, 2020. DOI: 10.47976/RBHM2014v14n2931-58. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/55. Acesso em: 21 dez. 2024.

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