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Port Royal: Filosofía de la Geometría

Port Royal: Filosofía de la Geometría

Jorge Alberto Molina, “Port Royal: Filosofía de la Geometría,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1203–38, DOI 10.17990/RPF/2017_73_3_1203.

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Port Royal: Filosofía de la Geometría

Type Journal Article
Author Jorge Alberto Molina
Rights © 2018 Aletheia - Associação Científica e Cultural | © 2018 Revista Portuguesa de Filosofia
Volume 73
Issue 3-4
Pages 1203-1238
Publication Revista Portuguesa de Filosofia
ISSN 0870-5283; 2183-461X
Date 2017
DOI 10.17990/RPF/2017_73_3_1203
Language Spanish
Abstract The aim of this paper is to analyse and to discuss the philosophical reflexions on Geometry due to Blaise Pascal, Antoine Arnauld and Pierre Nicole. All of them were linked to the Jansenism, religious movement whose centre was at the Port Royal abbey. Our theses is that their philosophical thoughts on Geometry as well as their criticism of Euclid’s Elements were rooted not only in the works of the geometers and Element’s translators and commentators of the sixteenth century but also on their particular conceptions about human knowledge and soul. Our text is divided into five parts. In the first part we examine the place of Geometry in the culture of the seventeenth century. After that, in the second part, we discuss the standard criticism directed against Euclid’s Elements. In the third part we analyse three works of Pascal: The spirit of geometry, The art of persuasion and some fragments that have survived of a text entitled Introduction of Geometry. In the fourth part we discuss the critical remarks of the Logic of Port Royal on the geometrical works, especially on the Elements. The fifth part of our work is devoted to Arnauld’s reconstruction of plane elementary Geometry in his New Elements of Geometry. The conclusions are set forth in the sixth part.
Date Added 17/01/2018, 17:50:15
Modified 17/01/2018, 19:39:56

Tags:

  • history and philosophy of logic,
  • history of mathematics,
  • modern philosophy,
  • philosophy of mathematics

Notes:

  • Aristóteles. Segundos Analíticos. Traducción por Jean Tricot. Paris: Vrin, 1979 
    Aristóteles. Primeros Analíticos. Traducción por Jean Tricot. Paris: Vrin, 1983.
    Aristóteles. Ética Nicomaquea Traducción Eduardo Sinnot. Beunos Aires : Colihue, 2015. 
    Arnauld, Antoine y, Pierre Nicole. La Logique ou l’ art de penser. Paris : Honoré Champion, 2014.
    De la Ramée, Pierre (Petrus Ramus). Dialectique 1555. Paris : Vrin, 1996.
    De Risi, Vicenzo. “The devolpment of Euclidean axiomatics”. Archive for History of Exact Sciences,2016, http://mdetlefsen.nd.edu/assets/.
    Euclides. The Thirteen Books of The Elements. Traducción por Thomas Heath. New York: Dover, 1956.
    Kneale, William y Martha Kneale. El desarrollo de la Lógica. Traducción Javier Muguerza. Madrid: Tecnos, 1980. 
    Leibniz, Gottfried Wilhelm. Opuscules et fragments inédits. Editados por Louis Couturat. Hildesheim: Olms, 1988 
    Mancosu, Paolo. Philosophy of Mathematics & Mathematical Practice in the Seventeenth Century. New York: Oxford University Press, 2008.
    Mersenne, Marin La verité des sciences contre les Sceptiques ou Pyrrhoniens. Editado por Dominique Descotes. Paris : Honoré Champion, 2003.
    Pascal, Blaise. L’ esprit de la Géométrie. De l’ art de persuader. Paris : Bordas, 2008.
    Pascal, Blaise, Anotoine Arnauld y François de Nonancourt. Géométries de Port Royal. Editado por Dominique Descotes. Paris : Honoré Champion, 2009.
    Pascal, Blaise. Pensamientos Traducción Juan Domínguez Berrueta. Buenos Aires: Orbis, 1984.
    Pascal, Blaise. Pensées. Paris: Librairie Générale Française, 2000.  
    Prawitz, Dag. Natural Deduction.  Estocolmo: Almqvist &Wiksell, 1965.

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