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Epicurus, Vasiliev and Aristotle on the Law of the Excluded Third

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The Logical Legacy of Nikolai Vasiliev and Modern Logic

Part of the book series: Synthese Library ((SYLI,volume 387))

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Abstract

The purpose of this essay is to show Aristotle’s, Epicurus’s and Vasiliev’s points of view concerning the law of the excluded third. Aristotle has conceived this Law, while both Epicurus and Vasiliev has criticized it. These three variants imply three different approaches to the laws of negation.

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Notes

  1. 1.

    Epicurus’s critique of the law of the excluded third has come down to us thanks mainly to one citation from Cicero: “Si, en effet, dit-il au rapport de Carnéade, j’admets que l’un ou l’autre est nécessaire, il sera nécessaire que, demain, Hermarque vive ou ne vive pas; oril n’y a pas de pareille nécessité dans lanature” (Premiers Académiques, II, XXX, Gallimard, Paris, 1962, p.190).

  2. 2.

    We can only try to reconstruct what negation was in Epicurus, and we only can do that via his opinion regarding the law of the excluded third.

  3. 3.

    Weizsäcker, C.F, von. Ein Blick auf Platon. Stuttgart, Reclam, 2002, p. 7.

References

  • Aristotle. (1974). Categories and de interpretatione. Oxford: OUP.

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  • Cicero. (1962). Premier académiques. Paris: Gallimard.

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  • Epicurus. (1987). Épicure. Lettres maximes. Paris: Puf.

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  • Vasiliev, N. A. (2012). Logica Immaginaria. Roma: Carocci.

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  • Weizsäcker, C. F. (2002). Ein Blick auf Platon. Sttutgart: Reclam.

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Author information

Authors and Affiliations

  1. Brazilan House of Representatives, São Paulo, Brazil

    José Veríssimo Teixeira da Mata

Authors
  1. José Veríssimo Teixeira da Mata
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Correspondence to José Veríssimo Teixeira da Mata .

Editor information

Editors and Affiliations

  1. MSU, Faculty of Philosophy, Lomonosov Moscow State University, Moscow, Russia

    Vladimir Markin

  2. MSU, Faculty of Philosophy, Lomonosov Moscow State University, Moscow, Russia

    Dmitry Zaitsev

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Mata, J.V.T.d. (2017). Epicurus, Vasiliev and Aristotle on the Law of the Excluded Third. In: Markin, V., Zaitsev, D. (eds) The Logical Legacy of Nikolai Vasiliev and Modern Logic. Synthese Library, vol 387. Springer, Cham. https://doi.org/10.1007/978-3-319-66162-9_6

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