Uma Heurí­stica Platônica para Termos Pitagóricos

 In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to t...

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Principais autores: Fossa, John A., Erickson, Glenn W.
Formato: Online
Idioma:por
Publicado em: EDUFRN
Endereço do item:https://periodicos.ufrn.br/principios/article/view/699
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spelling oai:periodicos.ufrn.br:article-6992016-12-16T16:48:03Z Uma Heurí­stica Platônica para Termos Pitagóricos Fossa, John A. Erickson, Glenn W.  In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to the problem ofderiving Pythagorean triples, that is, sets of three integers that serve as the sides of Pythagorean triangles. We also note the significance of this application within a broader context. EDUFRN 2010-10-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Avaliado pelos pares application/pdf https://periodicos.ufrn.br/principios/article/view/699 Princípios: Revista de Filosofia (UFRN); v. 4 n. 05 (1997): Princípios: revista de filosofia; 147-158 1983-2109 0104-8694 por https://periodicos.ufrn.br/principios/article/view/699/642 Copyright (c) 2014 Princípios: Revista de Filosofia (UFRN)
institution Periódicos UFRN
collection Portal de Pediódicos Eletrônicos da UFRN
language por
format Online
author Fossa, John A.
Erickson, Glenn W.
spellingShingle Fossa, John A.
Erickson, Glenn W.
Uma Heurí­stica Platônica para Termos Pitagóricos
author_facet Fossa, John A.
Erickson, Glenn W.
author_sort Fossa, John A.
title Uma Heurí­stica Platônica para Termos Pitagóricos
title_short Uma Heurí­stica Platônica para Termos Pitagóricos
title_full Uma Heurí­stica Platônica para Termos Pitagóricos
title_fullStr Uma Heurí­stica Platônica para Termos Pitagóricos
title_full_unstemmed Uma Heurí­stica Platônica para Termos Pitagóricos
title_sort uma heurí­stica platônica para termos pitagóricos
description  In The Republic, Plato presents the analogy of the divided line in order to unify his ontological, epistemological and cosmological doctrine. It is rarely noted, however, that the divided line has mathematical applications. In this paper, we explore the relationship ofthe divided line to the problem ofderiving Pythagorean triples, that is, sets of three integers that serve as the sides of Pythagorean triangles. We also note the significance of this application within a broader context.
publisher EDUFRN
publishDate 2010
url https://periodicos.ufrn.br/principios/article/view/699
work_keys_str_mv AT fossajohna umaheuristicaplatonicaparatermospitagoricos
AT ericksonglennw umaheuristicaplatonicaparatermospitagoricos
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