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Les nombres parfaits chez Mersenne : des mystères pythagoriques à la science et à l’exégèse

Les nombres parfaits chez Mersenne : des mystères pythagoriques à la science et à l’exégèse

Claudio Buccolini, “Les nombres parfaits chez Mersenne : des mystères pythagoriques à la science et à l’exégèse,” Revista Portuguesa de Filosofia 79, no. 4 (2023): 1337–44, https://doi.org/10.17990/RPF/2023_79_4_1337.

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  • Les nombres parfaits chez Mersenne : des mystères pythagoriques à la science et à l’exégèse

    Item Type Journal Article
    Author Claudio Buccolini
    Abstract In responding to a question posed by Professor Vincent Carraud regarding a passage in a letter by Etienne Pascal in which he mentions an author who speaks of the mysteries of Pythagorean numbers we have resumed our dossiers on number theory in Mersenne. We have pointed to texts from Mersenne’s correspondence, printed books, and unpublished theological manuscripts between 1638 and 1648 in which the mysteries of the Pythagorean numbers are mentioned with reference to the theory of perfect numbers and with reference to Peter Bongo’s work, which was widespread throughout Europe and particularly in France, De numerorum mysteria (1599 ed. aucta). This has allowed us to provide some indications taken from Mersenne’s unpublished manuscripts in which he addresses the mathematical problem of perfect numbers in exegesis, according to the new dating of his unpublished theological manuscripts that we have established.
    Date 2023
    Language French
    Rights © 2023 Aletheia - Associação Científica e Cultural
    Extra Perfect Numbers in Mersenne: From Pythagorean Mysteries to Science and Exegesis
    Volume 79
    Pages 1337-1344
    Publication Revista Portuguesa de Filosofia
    DOI 10.17990/RPF/2023_79_4_1337
    Issue 4
    ISSN 0870-5283 ; 2183-461X
    Date Added 4/9/2024, 1:33:06 AM
    Modified 4/9/2024, 2:20:30 AM

    Tags:

    • Mersenne’s exegesis, Mersenne’s perfect numbers, modern philosophy, number, pythagorean numbers.

    Notes:

    • Bongo, Pietro. Numerorum Mysteria. Bergomi: 1599 editio aucta; 1ère éd. 1591.

      Descartes, René. Letter to Mersenne, 31 March 1638. In Correspondance de Marin Mersenne, vol. VII, 128-133.

      Descartes, René. Letter to Mersenne, 17/27 May 1638. In Correspondance de Marin Mersenne, vol. VII, 237-239.

      Fermat, Pierre de. Letter to Mersenne, Early June 1638. In Correspondance de Marin Mersenne, vol. VII, 274-280.

      Fermat, Pierre de. Letter to Mersenne, 10 August 1638. In Correspondance de Marin Mersenne, vol. VIII, 29-30.

      Mersenne, Marin. Cogitata Physico-Mathematica. 1644.

      Mersenne, Marin. Hydraulica.

      Mersenne, Marin. Ballistica.

      Mersenne, Marin. Novarum Observationum Physico-Mathematicarum Tomus III. 1647.

      Mersenne, Marin. Harmonie Universelle. Paris: 1636. Nouvelles observations physiques et mathématiques XIIIe observation, p. 26. Éd. facsimilée CNRS, 1965.

      Pascal, Étienne. April 1648 Letter to Père Noël.

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