TEMPO, MODALIDADE E LÓGICA TRIVALENTE EM PEIRCE E LUKASIEWICZ
DOI:
https://doi.org/10.36311/1984-8900.2017.v9n20.10.p151Palavras-chave:
Lógica trivalente, Futuros contingentes, Modalidade, Determinismo, Fatalismo, ContinuidadeResumo
A descoberta de sistemas formais polivalentes foi acompanhada de diferentes motivações filosóficas para o abandono da semântica bivalente e de teoremas da lógica clássica, como o Princípio do Terceiro Excluído. Neste artigo analisamos temas correlatos ao problema dos futuros contingentes, que motivou a criação da lógica trivalente de Lukasiewicz, no contexto da filosofia de C.S. Peirce e da elaboração de suas matrizes trivalentes. Concluímos que as razões de Peirce para a adoção de um sistema formal trivalente, no âmbito da lógica do contínuo, o possibilitam tanto sustentar o indeterminismo aristotélico quanto evitar problemas relativos à abordagem modal de Lukasiewicz.
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Referências
ŁUKASIEWICZ, Jan (1918). Farewell lecture by professor Jan Łukasiewicz, delivered in the Warsaw University Lecture Hall on March 7, 1918. In: Selected works.
BORKOWSKI, L. (ed.). Orth-Holland Publishing Company: Amsterdan-London, 1970, pp. 84-86.
_____. (1920). On Three-valued logic. In: Selected works. BORKOWSKI, L. (ed.). Orth-Holland Publishing Company: Amsterdan-London, 1970, pp. 87-88.
_____. (1930). Philosophical remarks on many-valued systems of propositional logic. In: Selected works. BORKOWSKI, L. (ed.). Orth-Holland Publishing Company: Amsterdan-London, 1970, pp. 153-178.
_____. (1961). On determinism. In: Selected works. BORKOWSKI, L. (ed.). OrthHolland Publishing Company: Amsterdan-London, 1970, pp. 110-128.
_____. Selected works. BORKOWSKI, L. (ed.). Orth-Holland Publishing Company: Amsterdan-London, 1970.
PEIRCE, Charles Sanders.Collected papers. 8 vols. HARTSHORNE, Charles; HEISS, Paul e BURKS, Arthur (eds.). Cambridge: Harvard University Press, 1931-1958. [Citado como CP, seguido do volume e do número do parágrafo.]
_____. The Charles S. Peirce Papers (Microfilm Edition). Cambridge: Harvard University Library Photographic Service, 1966. Disponível em: http://andersonfam.me/display/read_work?work_id=149. Acesso em: Out. 2016. [Citado como MS seguido do número da página.]
_____. The essential Peirce, vol. 1 (1867-1893). HOUSER, Nathan and KLOESEL, Christian (eds.). Bloomington and Indianapolis: Indiana University Press, 1992. [Citado como EP 1 seguido do número da página.]
_____. The essential Peirce, vol. 2 (1893-1913). THE PEIRCE EDITION PROJECT (ed.). Bloomington and Indianapolis: Indiana University Press, 1998. [Citado como EP 2 seguido do número da página.]
_____. Philosophy of mathematics: Selected writings. MOORE, Matthew E. (ed.). Bloomington and Indianapolis, IN: Indiana University Press, 2010. [Citado como PM seguido do número da página.]
AGLER, David W. Peirce and the specification of borderline vagueness. Semiotica: Journal of the International Association for Semiotic Studies, 193, p.195–215, 2013.
ANELLIS, Irving. The genesis of the truth-table device. Russell: the Journal of the Russell Archives, n. 24, p. 55–70, Summer 2001. Disponível em; https://escarpmentpress.org/russelljournal/article/viewFile/2056/2081. Acesso em:
Jun. 2017.
_____. Peirce's truth-functional analysis and the origin of the truth table. History and Philosophy of Logic, vol. 33, n. 1, p. 87-97, February 2012. Disponível em: http://www.tandfonline.com/doi/abs/10.1080/01445340.2011.621702?journalCode=thpl20. Acesso em: Jun. 2017.
ARISTÓTELES. Da Interpretação. José Veríssimo Teixeira da Mata (trad. e comentários). São Paulo: Editora Unesp, 2013.
BELL, John L. A Primer of Infinitesimal Analysis. 2ª ed. Cambridge: Cambridge University Press, 2008.
BERGMANN, Merrie. An introduction to many-valued and fuzzy logic: Semantic, algebras and derivation systems. Cambridge: Cambridge University Press, 2008.
BERTRAND, Helm P. Time and reality in American Philosophy. Amherst: University of Massachusetts, 1985.
BOURNE, Craig. Future contingents, non-contradiction and the law of excluded middle. Analysis, vol. 64, n. 2, p. 122-128, April 2004.
BRADY, Geraldine. From Peirce to Skolem: a neglected chapter in the History of Logic. North Holland: Elsevier, 2000.
ENGEL-TIERCELIN, Claudine. Vagueness and the unity of C.S. Peirce's realism. Transactions of the Charles S. Peirce Society, vol. 28, n. 1, p. 51-82, Winter 1992.
FERNANDES, Fernanda L. A. Duas faces do fatalismo lógico: O argumento do dominador de Diodoro Cronos e a batalha naval no De Interpretatione IX. Dissertação de Mestrado. UFRJ: 2009.
FISCH, Max and TURQUETTE, Atwell. Peirce’s triadic logic. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. II, n. 2, p. 86-133, Fall 1996.
GASKIN, Richard. The sea battle and the master argument: Aristotle and Diodorus Cronus on the metaphysics of the future. Berlin/ New York: de Gruyter, 1995.
HAACK, Susan. Deviant logic, fuzzy logic: Beyond the formalism. Chicago and London: University of Chicago Press, 1996.
_____. Filosofia das lógicas. Carlos Augusto Mortari e Luiz Henrique de Araújo Dutra (trads.). São Paulo: UNESP, 2002.
HAVENEL, Jérôme. Peirce’s clarifications of continuity. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. 44, n. 1, p. 86-133, Winter 2008.
HILPINEN, Risto. On Peirce’s Philosophical Logic: Propositions and their objects.Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. XXVIII, n. 3, p. 467-488, Summer 1992.
IACONA, Andrea. Future contingents and Aristotle’s fantasy. Crítica: Revista Hispanoamericana de Filosofía. vol. 39, n. 117, p. 45–60, 2007.
LANE, Robert. Peirce’s “Entanglement” with the principles of excluded middle and contradiction. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. XXXIII, n. 3, p. 680-703, Summer 1997.
_____. Peirce’s triadic logic revisited. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. XXXV, n. 2, p. 284-311, Spring 1999.
_____. Triadic logic. The Digital Encyclopedia of Charles S. Peirce, January 2001. Disponível em: http://www.digitalpeirce.fee.unicamp.br. Acesso em: Outubro 2016.
ŁUKASIEWICZ, Dariusz. On Jan Łukasiewicz’s many-valued logic and his criticism of determinism. In: Philosophia Scientiæ, p. 15-22, 2011. Disponível em: http://philosophiascientiae.revues.org/650. Acesso em: Out. 2016.
MALINOWSKI, Grzegorz. Many-valued logics. Oxford Logic Guides, n. 25. Oxford: Oxford University Press, 1993.
ØHRSTRØM, Peter and HASLE, Per F. V. Temporal logic. From ancient ideas to artificial intelligence. Studies in linguistics and philosophy, vol. 57. Dordrecht, Boston, and London: Kluwer Academic Publishers, 1995.
PIETARINEN, Ahti-Veikko. Signs of logic: Peircean themes on the philosophy of language, games, and communication. Dordrecht: Springer, 2006.
PRIEST, Graham. An Introduction to non-classical logic: From If to Is. 2ª ed. Cambridge: Cambridge University Press, 2008.
PRIOR, Arthur N. Time and modality. Oxford: Oxford University Press, 1957.
_____. Past, present and future. Oxford: Oxford University Press, 1967.
QUINE, Willard Van Orman. Referência e modalidade. In: De um ponto de vista lógico. Antonio Ianni Segatto (trad.). São Paulo: Editora UNESP, 2001, p. 195-221.
ROBERTS, Don. The existential graphs of Charles S. Peirce. The Hague: Mouton & Co, 1973.
SALATIEL, J. Renato. Aspectos da lógica trivalente de C. S. Peirce. Kínesis: Revista de Estudos dos Pós-Graduandos em Filosofia, v.3, p. 31-42, 2011.
SILVEIRA, Lauro Frederico Barbosa da. Continuity and discontinuity in boundary issues. COGNITIO: Revista de Filosofia, vol. 10, n.1, p.139-152, 2009.
THIBAUD, Pierre. Between saying and doing: Peirce’s propositional space. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. XXXIII, n. 2, p. 270-327, Summer 1997
TURQUETTE, Atwell R. Peirce's phi and psi operators for triadic logic. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, v. 3, p. 66-73, 1967.
_____. Peirce's complete systems of triadic logic. Transactions of the Charles S. Peirce Society: A Quartely Journal in American Philosophy, vol. V, n. 4, p. 199-210, 1969.
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