Logical Ideas of Jan Łukasiewicz

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This paper discusses the main logical ideas put forward by Jan Łukasiewicz within their historical context and further development.

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  • 1. Łukasiewicz J. O zasadzie sprzeczności u Arystotelesa (On the Principle of Contradiction in Aristotle) Kraków: Polska Akademia Umiejętności 1910; Germ. tr. Über den Satz des Widerspruch bei Aristoteles Olms Hildesheim 1993.

  • 2. Łukasiewicz J. Die logische Grundlagen der Wahrscheinlichkeitsrechnung Kraków: Polska Akademia Umiejetności 1913; partial Eng. tr in [5].

  • 3. Łukasiewicz J. Elementy logiki matematycznej (Elements of Mathematical Logic) [Lecture notes] 1929; Eng. tr. Oxford: Pergamon Press 1963.

  • 4. Łukasiewicz J. Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic Oxford: Clarendon Press 1951; 2nd ed. 1957.

  • 5. Łukasiewicz J. Selected Works Amsterdam: North-Holland 1970.

  • 6. Malinowski G. Many-Valued Logics Oxford: Oxford University Press 1993.

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

  • 8. Woleński J. Logic and Philosophy in Lviv-Warsaw School Dordrecht: Kluwer 1989.

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