Jan Lukasiewicz

Łukasiewicz, Jan


Born Dec. 21,1878, in L’vov; died Nov. 13, 1956, in Dublin. Polish logician. Member of the Polish Academy of Sciences (1937).

Łukasiewicz was a professor at the University of L’vov from 1906 to 1915 and at the University of Warsaw from 1915 to 1939. After World War II he taught at the Royal Irish Academy in Dublin. Łukasiewicz worked on logical problems of induction and causality and on the logical foundations of probability theory. He constructed the first system of many-valued logic and used it to create a system of modal logic. He developed a special language to formalize logical and mathematical expressions, called parenthesis-free Łukasiewicz symbolism. His philosophical outlook was that of a positivist.


Z zagadnień logiki i filozofii: Pisma wybrane. Warsaw, 1961. (Contains complete bibliography of Łukasiewicz’s works)
In Russian translation:
Aristotelevskaia sillogistika s tochki zreniia sovremennoiformaL’not logiki. Moscow, 1959. (Translated from Polish.)


Borkowski, L., and T. Slupecki. “The Logical Works of J. Łukasiewicz.” Studio Logica, vol. 8, 1958.
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"Jan Lukasiewicz", The Stanford Encyclopedia of Philosophy, Edward N.
(1) that Smiley made the same discovery at about the same time; and (2) in several ways what Smiley and I did would have been impossible without the groundbreaking work of Jan Lukasiewicz and two of his students, Stanislaw Jaskowski and Alfred Tarski.
(5) Kazimierz Ajdukiewicz, Tadeusz Czezowski, Tadeusz Kotarbinski, Stanistaw Lesniewski, and Jan Lukasiewicz are among his main students.
Despues de sufrir la superficialidad de lo que los neoescolasticos llamaron logica clasica (en la que toda la logica se reduce a los silogismos y no existe un principio general y ni siquiera existe una nocion clara de validez), Jan Lukasiewicz hizo justicia a la complejidad de la logica del Estagirita en Aristotle's Syllogistic from the Standpoint of Modern Formal Logic (Oxford: Clarendon Press, 1957; traduccion al espanol en Tecnos, 1977).
Aunque el mas temprano de estos comentaristas vivio quinientos anos despues de Aristoteles, no es del todo inverosimil que, como dedicaron su vida al estudio del filosofo y hablaban aproximadamente su mismo idioma, entendieran mejor sus motivos e intenciones que, digamos, Jan Lukasiewicz en el siglo XX.
Much of Tarski's formulating was done in collaboration with such luminaries as Jan Lukasiewicz, Stefan Banach, Andrzej Mostowski, and others whose work Korzybski knew and who, with Tarski, influenced Korzybski's work.
The way to a systematization of paraconsistency was opened by Jan Lukasiewicz in his 1910 book on Aristotle's Principle of Non-Contradiction.
En nuestro siglo, el logico polaco Jan Lukasiewicz, siguiendo los pasos de Aristoteles, crea una logica trivalente a partir precisamente de los mismos supuestos: no estando los sucesos del futuro univocamente determinados, una proposicion de futuro no siempre es o bien verdadera o bien falsa; es necesario, en consecuencia, crear un calculo logico de tres valores que contemple esta particularidad de las proposiciones de futuro.
El articulo aparece en : Jan Lukasiewicz: Estudios de logica y filosofia, Revista de Occidente, Madrid, 1970.
On March 7, 1918 Jan Lukasiewicz, the Polish logician who formally originated multi-valued logics, delivered a speech at Warsaw University on the need for "indeterminacy" in formal logical systems.
They share some originating non-aristotelian influences, among them the three-valued, then multi-valued, then 'infinite'-valued mathematical logics of Jan Lukasiewicz (1878-1956).