The Originality of the Stoics' Propositional Logic compared to the Classical Propositional Calculus

Authors

DOI:

https://doi.org/10.18012/arf.v9i2.61301

Keywords:

originality, propositional logic, stoics, propositional calculus, contemporaneity

Abstract

The purpose of this article is to present the propositional logic of the Stoics from a point of view due to them, namely, that of their originality with regard to the fundamentals of this logic modality. In this way, it is intended to deconstruct a conception generally proclaimed in the current logic manuals that reduce propositional logic to a calculation tool, invented by contemporary logicians, and that completely neglects the original contribution of the Stoics. It is hoped that the discussions established here will serve the logic student as demystifying the mistaken view, generally propagated in our universities, that, after Aristotle, in logic, there is only classical quantificational calculation and non-classical logics and that disregards the Stoics as an important chapter in this story

Downloads

Download data is not yet available.

References

BASTOS, C. L; OLIVEIRA, P. E. A lógica dos estoicos. Curitiba: Champagnat, 2010.

BLANCHÉ, Robert. História da Lógica de Aristóteles a Bertrand Russell. Trad. António J. Pinto Ribeiro, Lisboa: Edições 70, 1985. (O Saber da Filosofia)

BOCHENSKI, I. M. Historia de la lógica formal. Madri: Gredos, 1976.

BROCHARD, V. La logique des stoiciens. In: ___. Etudes de philosophie ancienne et de philosophie moderne. Paris: J. Vrin, 1966.

BRUN, J. O estoicismo. Lisboa: Edições 70, 1986.

COPI, M, I. Introdução à Lógica. São Paulo: Editora Mestre Jou, 1978.

DINUCCI, Aldo; DUARTE, Valter. Introdução à lógica proposicional estoica. São Cristóvão: Editora UFS, 2016.

DINUCCI, Aldo. Taxonomia dos axíōmata da lógica proposicional estoica. O que nos faz pensar, 34, 2014. p. 315-341

DUARTE, Valter. Lógica Estoica: uma apresentação. Prometeus, 9, 20, jul-dez, 2016. p. 205-220.

FREGE, G. [1892]. Sobre o Sentido e a Referência. In. ______ Lógica e Filosofia da Linguagem. Trad. Paulo Alcoforado. São Paulo: Cultrix/EDUSP, 1978.

GÉLIO, Aulo. Attic Nights. Trad. J. H. Rolfe. Harvard: Loeb, 1927.

GALENO. Institutio Logica. Ed. Karl Kalbfleisch. Leipzig: Teubner, 1896.

KIRKHAM, Richard L. Teorias da verdade: Uma introdução crítica. Trad. Alessandro Zir. São Leopoldo: Editora Unisinos, 2003.

KNEALE, W.; KNEALE, M. O Desenvolvimento da Lógica. 2. ed. Trad. M. S. Lourenço. Lisboa: Fundação Calouste Gulbenkian, 1980.

LAÉRCIO, D. Lives of Eminent Philosophers. Trad. R. D. Hicks. Harvard: Loeb, 1925.

LUKASIEWICZ. On the History of the Logic of Proposition [1934]. IN: Jan Lukasiewicz. Selected Works. L. Borkowski (Ed.). Amsterdam: North-Holland Publ. Comp., 1970.

MATES, B. Stoic Logic. Berkeley / Los Angeles: University of California Press, 1961.

MATES, B. Logica de Los Estoicos. Trad. Miguel García Baró. Madri: Editorial Tecnos S.A., 1985.

MORTARI, Cezar A. Introdução à lógica. São Paulo: Editora UNESP, 2001.

PEIRCE, C. S. Collected Papers. Cambridge: Harvard, 1931-1934. 4 Vols.

PRANTL, K. Geschichte der Logik im Abendlan der Logik im Abendlande. Leipzig: Hirzel, 1855.

SEXTO EMPÍRICO. Against Logicians. Translated by R. G. Bury. Harvard: Loeb Classical Library, 1935.

SEXTO EMPÍRICO. Against mathematicians. Translated by. R. G. Bury. Harvard: Loeb Classical Library, 1949.

VON ARNIM, H. Stoicorum Veterum Fragmenta Volume 4: Indeces [1905]. Berlim: De Gruyter, 2005.

ZELLER, E. Stoics, Epicureans and Sceptics. Trad. O. J. Reichel. Londres: Longmans Green and Comp., 1880.

Published

2022-11-12

How to Cite

Simões, E., Alves Moreira, J. C., Souza Soares, P. L., Ferreira Souza, T., & Passos Freitas, F. A. (2022). The Originality of the Stoics’ Propositional Logic compared to the Classical Propositional Calculus. Aufklärung, 9(2), p.93–108. https://doi.org/10.18012/arf.v9i2.61301

Issue

Section

Articles