Logical Ideas of Jan Łukasiewicz


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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