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Abstract

The term ‘many-valued logic’ is most often used to denote logics which are constructed by means of introduction of additional truth-values, while classical logic is construed as a two-valued logic (cf. “Sentence logic” §1.1).

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References

  • Ackermann, R.: An Introduction to Many-Valued Logics, London 1967, Routledge and Kegan Paul.

    Google Scholar 

  • Birkhoff, G., von Neumann, J.: “The logic of quantum mechanics,” Annals of Mathematics, 37, 1936, 823–843.

    Article  Google Scholar 

  • da Costa, N.C.A. and Dubikajtis, L.: “Sur la logique discursive de Jas’kowski,” Bulletin de l’Académie polonaise des Sciences, 16, 1968, 551–557.

    Google Scholar 

  • Jatkowski, A.: “Rachunek zdaii dla systemdw dedukcyjnych sprzecznych” [Propositional calculus for inconsistent deductive systems], Stu dia Societatis Seientiarum Torunensis, Sec. A, 1, 1948, 57–77.

    Google Scholar 

  • Lukasiewicz, J.: O zasadzie sprzecznoici u Arystotelesa [On the principle of contradiction in Aristotle], Krakow 1910, Akademia UmiejgtnoSci.

    Google Scholar 

  • Lukasiewicz, J.: “O logice trbjwartolciowej” [On 3-valued logic], Ruch Filozoficzny, 5, 1920, 169–171. Engl. trans. in McCall (6 7).

    Google Scholar 

  • Lukasiewicz, J.: “Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalküls,” C. R. Soc. Sci. Lett. Varsovie,Cl. III, 23, 1930, 51–77. Reprinted in Berka and Kreiser (71).

    Google Scholar 

  • Lukasiewicz, J.: Selected Works, ed. L. Borkowski, Amsterdam 1970, North-Holland.

    Google Scholar 

  • Meredith, C.A.: “The dependence of an axiom of-Lukasiewicz,” Trans. Amer. Math. Soc. 87, 1958, 54.

    Google Scholar 

  • Post, E.: “Determination of all closed systems of truth tables,” Bull. Amer. Math. Soc. 26, 1920, 437.

    Google Scholar 

  • Post, E.: “Introduction to a general theory of elementary propositions,” Am. J. Math. 43, 1921, 163–185.

    Article  Google Scholar 

  • Reichenbach, H.: Philosophic Foundations of Quantum Mechanics,Berkeley, 1944, (2nd ed. 1946), University of California Press.

    Google Scholar 

  • Rescher, N.: Many-Valued Logic, New York 1969, McGraw-Hill.

    Google Scholar 

  • Rine, D.C. (ed.), Computer Science and Multiple-Valued Logic, Theory and Applications, Amsterdam, 1977, North-Holland.

    Google Scholar 

  • Rogowski, L.S.: Logika kierunkowa a Heglowska teza o sprzecznoici zmiany,Torurl/Warsaw 1964, PWN. With Engl. abstract. Discussed in Gardies (75)—see References in “Tense logic”.

    Google Scholar 

  • Rosenbloom, P.C.: “Post algebras I: postulates and general theory,” Am. J. Math. 64, 1942, 167–188.

    Article  Google Scholar 

  • Rosser, J.B., Turquette, A.R.: Many-Valued Logics, Amsterdam 1952, North-Holland.

    Google Scholar 

  • Slupecki, J.: “Der volle dreiwertige Aussagenkalkül,” C. R. Soc. Sci. Lett. Varsovie,Cl. III, 29, 1936, 9–11. Reprinted in Berka and Kreiser (71). Engl. trans. in McCall (6 7).

    Google Scholar 

  • Wajsberg, M.: “Ein Axiomensystem des dreiwertigen Aussagenkalkills,” C. R. Soc. Sci. Lett. Varsovie,Cl. III, 24, 1931, 146–148. Reprinted in Berka and Kreiser (71). Engl. trans. In McCall (67).

    Google Scholar 

  • Webb, D.L.: “The algebra of n-valued logic”, C. R. Soc. Sci Lett. Varsovie, Cl. III, 29, 1936, 153–168.

    Google Scholar 

  • Vasil’ev, N.A.: “Voobrazaémaä (néaristotéléva) logika,” Zurnal Ministérstva Narodnogo Prosvéscenid, 40, 1912, 207–246.

    Google Scholar 

  • Wjcicki, R.: (ed., with collaboration of G. Malinowski), Selected Papers on tukasiewicz Sentential Calculi, Wroclaw 1977, Ossolineum.

    Google Scholar 

  • Zawirski, Z, Z.: “Über das Verhältnis der mehrwertigen Logik zur Wahrscheinlichkeitsrechnung,” Studia Philosophica I, Lvov, 1935.

    Google Scholar 

  • Zinov’ev, A.A.: Philosophical Problems of Many-Valued Logic, Dordrecht 1963, Reidel (ed. and trans. from the Russian by G. Kling and D.D. Comey ). Russian original 1960.

    Google Scholar 

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© 1981 Springer Science+Business Media Dordrecht

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Kabziński, J.K. (1981). Many-Valued Logic. In: Marciszewski, W. (eds) Dictionary of Logic as Applied in the Study of Language. Nijhoff International Philosophy Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1253-8_40

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  • DOI: https://doi.org/10.1007/978-94-017-1253-8_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8257-2

  • Online ISBN: 978-94-017-1253-8

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