General Remarks

Titles have been given in their original language, followed in the case of pieces originally in Polish by the title of any published English translation where one exists, or by our English translation where none does. The bibliography of Łukasiewicz’s published writings is not complete, since a large number of his published pieces consist of one- or two-page summaries or abstracts of talks given at various venues, as was the Polish practice of the time. Of this kind, only those which are important for Łukasiewicz’s development or the exposition of his views have been included. Translations into languages other than English have not been included, with one exception, the 1910 monograph on Aristotle.

A comprehensive bibliography in Polish, compiled by the editor Jacek Juliusz Jadacki, is published in the collection Logika i Metafizyka (1998), which reprints most of Łukasiewicz’s essays, along with a number of incidentally interesting speeches, reviews and excerpts from correspondence, a biographical chronology, and a large number of photographs.

Abbreviations

• (AS) Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic, 2nd ed. (Scholar)
• (PF) Przegląd Filozoficzny
• (PL) Polish Logic, 1920–1939, ed. S. McCall.
• (PWN) Państwowe Wydawnictwo Naukowe
• (RF) Ruch Filozoficzny
• (SW) Selected Works, ed. L. Borkowski.
• (Z) Z zagadnień logiki i filozofii. Pisma wybrane, ed. J. Słupecki.

Primary Sources: Works by Łukasiewicz

Collections

• Z zagadnień logiki i filozofii. Pisma wybrane. [Topics in Logic and Philosophy. Selected Writings], ed. J. Słupecki. Warsaw: PWN, 1961.
• Selected Works, ed. L. Borkowski. Amsterdam: North-Holland, 1970.
• Logika i Metafizyka. Miscellanea. [Logic and Metaphysics. A Miscellany], ed. J. J. Jadacki. Warsaw: Towarzystwo Naukowe Warszawskie, 1998.
• Pamiętnik. [Diary], ed. J. J. Jadacki and P. Surma. Warsaw: Wydawnictwo Naukowe Semper, 2013. [Contains diary entries by Łukasiewicz and a number of incidental pieces of biographical note by him and others.]

Monographs

• O zasadzie sprzeczności u Arystotelesa, Studium krytyczne. [On the Principle of Contradiction in Aristotle. A Critical Study.] Kraków: Akademia Umiejętności, 1910. 2nd ed., ed. J. Woleński, Warsaw: PWN, 1987. Translations: Über den Satz vom Widerspruch bei Aristoteles. Hildesheim: Olms, 1993; Del principio di contradizzione in Aristotele. Macerata: Quodlibet, 2003.
• Die logischen Grundlagen der Wahrscheinlichkeitsrechnung. Kraków: Spółka Wydawnicza Polska, 1913. Translation: Logical Foundations of Probability Theory, in SW, 16–63. (Scholar)
• Elementy logiki matematycznej. Skrypt autoryzowany, ed. M. Presburger. Warsaw: Wydawnictwo Koła Matematyczno-Fizycznego Słuchaczów Uniwersytetu Warszawskiego, 1929. 2nd ed., ed. J. Słupecki, Warsaw: PWN, 1958. Translation: Elements of Mathematical Logic. Oxford: Pergamon Press, 1966.
• Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic. Oxford: Clarendon Press, 1951. 2nd, enlarged ed., 1957. (Scholar)

Papers

• O indukcji jako inwersji dedukcji [On induction as the inversion of deduction]. PF 6 (1903), 9–24, 138–152.
• Analiza i konstrukcja pojęcia przyczyna. PF 9 (1906), 105–179. Reprinted in Z, 9–62. Translation: Analysis and construction of the concept of cause, in J. Jadacki and E. Swiderski, eds., The Concept of Causality in the Lvov-Warsaw School. The Legacy of Jan Łukasiewicz. Leiden: Brill, forthcoming.
• O zasadzie wyłączonego środka. PF 13 (1910), 372–3. Translation: On the Principle of the Excluded Middle. History and Philosophy of Logic 8 (1987), 67–9.
• Über den Satz von Widerspruch bei Aristoteles. Bulletin internationale de l’Académie des Sciences de Cracovie, Classe de Philosophie (1910), 15–38. Translation: On the Principle of Contradiction in Aristotle. Review of Metaphysics 24 (1970/71), 485–509; Aristotle on the Law of Contradiction, in: J. Barnes, M. Schofield and R. Sorabji, eds., Articles on Aristotle 3. Metaphysics. London: Duckworth, 1979, 50–62. (Scholar)
• O twórczości w nauce, Księga pamiątkowa ku uczczeniu 250-tej rocznicy zalożenia Uniwersytetu Lwowskiego przez Króla Jana Kazimierza r. 1661. Lwów: Uniwersytet Lwowski, 1912, 3–15. Translation: Creative elements in science, in SW, 1–15. (Scholar)
• W sprawie odwracalności stosunku racji i następstwa [Concerning the reversibility of the relation between reason and consequence], PF 26 (1913), 298–314.
• O nauce i filozofii [On science and philosophy], PF 28 (1915), 190–196.
• O pojęciu wielkości, PF 19 (1916), 1–70. Translation: On the concept of magnitude. in SW, 64–83.
• Treść wykładu pożegnalnego wygłoszonego w auli Uniwersytetu Warszawskiego 7 marca 1918 r. Pro arte et studio 3 (1918), 3–4. Translation: Farewell lecture delivered in the Warsaw University Lecture Hall on March 7, 1918, in SW, 84–6.
• O pojęciu możliwości, RF 5 (1920), 169–170. Translation: On the concept of possibility, in PL, 15–16.
• O logice trójwartościowej, RF 5 (1920), 170–1. Translation: On three-valued logic, in PL, 16–18, and in SW, 87–8.
• Logika dwuwartościowa, PF 23 (1921), 189–205. Translation: Two-valued logic, in SW, 89–109.
• Interpretacja liczbowa teorii zdań, RF 7 (1922/23), 92–3. Translation: A numerical interpretation of the theory of propositions, in SW, 129–30.
• O logice stoikow [On Stoic logic], PF 30 (1927), 278–9.
• O znaczeniu i potrzebach logiki matematycznej [On the importance and needs of mathematical logic], Nauka Polska 10 (1929), 604–20.
• (with A. Tarski) Untersuchungen über den Aussagenkalkül, Comptes rendus de la Société des Sciences et des Lettres de Varsovie, cl. iii, 23 (1930), 1–21. Translation: Investigations into the Sentential Calculus, in SW, 131–52.
• Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalküls, Comptes rendus de la Société des Sciences et des Lettres de Varsovie, cl. iii, 23 (1930), 51–77. Translation: Philosophical remarks on many-valued systems of propositional logic, in PL, 40–65, and in SW, 153–78.
• Uwagi o aksjomacie Nicoda i “dedukcji uogólniającej”, Księga pamiątkowa Polskiego Towarzystwa Filozoficznego, Lwów, 1931, 366–83. Translation: Comments on Nicod’s axiom and on “generalizing deduction”, in SW, 179–96.
• Ein Vollstandigkeitsbeweis des zweiwertigen Aussagenkalküls, Comptes rendus de la Société des Sciences et des Lettres de Varsovie, cl. iii, 24 (1931), 153–83.
• Z historii logiki zdań, PF 37 (1934), 417–37. Translation: On the history of the logic of propositions, in PL, 66–87, and in SW, 197–217.
• Znaczenie analizy logicznej dla poznania [The importance of logical analysis for cognition], PF 37 (1934), 369–77.
• Bedeutung der logischen Analyse für die Erkenntnis, Actes du VIII Congrès International de Philosophie, Prague (1936), 75–84.
• W obronie logistyki. Myśl katolicka wobec logiki wspólczesnej, Studia Gnesnensia 15 (1937), 12–26. Translation: In defence of logistic, in SW, 236–49.
• Kartezjusz [Descartes], Kwartalnik Filozoficzny 15 (1938), 123–8.
• Geneza logiki trójwartościowej [The origins of three-valued logic]. Nauka Polska 24 (1939). 215–223.
• O sylogistyce Arystotelesa [On Aristotle’s syllogistic], Sprawozdania PAU, 44 (1939), 220–7. Published 1946. (Scholar)
• Der Äquivalenzkalkül, Collectanea logica 1 (1939), 145–69. Did not appear then. One offprint survived in Münster, and served for the translation: The Equivalential Calculus, in PL, 88–115, and in SW, 250–77.
• Die Logik und das Grundlagenproblem, Les entretiens de Zurich sur les fondements et la méthode des sciences mathématiques 6–9.XII.1938, Zurich: Leemann, 1941, 82–100. (Scholar)
• The shortest axiom of the implicational calculus of propositions, Proceedings of the Royal Irish Academy, Sect. A, 52 (1948), 25–33.
• W sprawie aksjomatyki implikacyjnego rachunku zdań [On the system of axioms of the implicational prepositional calculus], Annales de la Société Polonaise de Mathématique 22 (1950), 87–92.
• On Variable Functors of Propositional Arguments, Proceedings of the Royal Irish Academy, Sect. A, 54 (1951), 25–35.
• On the intuitionistic theory of deduction, Indagationes Mathematicae. Koninklijke Nederlandse Academie van Wetenschappen, Proceedings Series A 14(1952), 201–212, repr. in SW, 325–40.
• Sur la formalisation des théories mathématiques. Colloques internationaux du Centre National de la Recherche Scientifique, 36: Les méthodes formelles en axiomatique, Paris, 1953, 11–19. Translation: Formalization of Mathematical Theories, in SW, 341–51.
• A System of Modal Logic, The Journal of Computing Systems, 1 (1953), 111–49, repr. in SW, 352–90.
• Arithmetic and Modal Logic, The Journal of Computing Systems, 1 (1954), 213–9, repr. in SW, 391–400.
• The principle of individuation, Proceedings of the Aristotelian Society, supplementary volume XXVII (Berkeley and modern problems) (1953), 69–82.
• On a controversial problem of Aristotle’s modal syllogistic, Dominican Studies 7 (1954), 114–28. (Scholar)
• Curriculum vitae [1953], Philosophical Studies 6 (1956), 43–6. (Scholar)
• O determinizmie, in Z, 114–26. Translation: On determinism, in PL 19–39, and in SW, 110–28.

Translation

• David Hume, Badania dotycące rozumu ludzkiego [An enquiry concerning human understanding]; translation by Jan L. Łukasiewicz and Kazimierz Twardowski, Lwów: Nakładem Polskiego Towarzystwa Filozoficznego, 1905.

Selected Secondary Literature

• Agassi, A. and Woleński, J., 2010, “Łukasiewicz and Popper on Induction”, History and Philosophy of Logic, 31: 385–388. [Contains English translation of two small texts of Łukasiewicz on induction.] (Scholar)
• Betti, A., 2002, “The incomplete story of Łukasiewicz and bivalence”, in T. Childers (ed.), The Logica 2002 Yearbook, Prague: The Czech Academy of Sciences—Filosofia, 21–36. (Scholar)
• Childers, T. and Majer, O., 1998, “On Łukasiewicz’s theory of probability”, in K. Kijania-Placek and J. Woleński (eds.), The Lvov-Warsaw School and Contemporary Philosophy, Dordrecht: Kluwer, 303–12. (Scholar)
• Corcoran, J., 1972, “Completeness of an Ancient Logic”, Journal of Symbolic Logic, 37: 696–705. (Scholar)
• –––, 1974, “Aristotelian Syllogisms: Valid Arguments or True Universalized Conditionals?”, Mind, 83: 278–81. (Scholar)
• Font, J. P. and Hájek, P., 2002, “On Łukasiewicz’s Four-Valued Modal Logic”, Studia Logica, 70: 157–82. (Scholar)
• McCall, S. (ed.), 1967, Polish Logic 1920–1939, Oxford: Clarendon Press. (Scholar)
• Malinowski, G., 1993, Many-Valued Logics, Oxford: Clarendon Press. (Scholar)
• Meredith, C. A., 1951, “On an extended system of the propositional calculus”, Proceedings of the Royal Irish Academy, 54 (Section A): 37–47. (Scholar)
• Meredith, C. A., 1953, “Single axioms for the systems (C,N), (C,0), and (A,N) of the two-valued propositional calculus”, The Journal of Computing Systems, 1: 155–164. (Scholar)
• Patzig, G., 1968. Die aristotelische Syllogistik, Göttingen: Vandenhoeck and Ruprecht, 3rd edition (1st edition, 1959); translation by J. Barnes, Aristotle’s Theory of the Syllogism, Dordrecht: Reidel, 1969. (Scholar)
• Placek, T., 2006. “A Puzzle about Semantic Determinism: Łukasiewicz’s ‘On Determinism’ Years Later”, in J. Jadacki and J. Paśniczek (eds.), The Lvov-Warsaw School – The New Generation, Amsterdam: Rodopi, 171–185. (Scholar)
• Prior, A. N., 1954, “The Interpretation of Two Systems of Modal Logic”, The Journal of Computing Systems, 1: 201–8. (Scholar)
• Quine, W. V., 1953, “Three Grades of Modal Involvement”, Proceedings of the XIth International Congress of Philosophy (Volume XIV), Brussels, pp. 80 ff. (Scholar)
• Schmidt am Busch, H.-C. and Wehmeier, K. F., 2007, “On the relations between Heinrich Scholz and Jan Łukasiewicz”, History and Philosophy of Logic, 28: 67–81. (Scholar)
• Seddon, F., 1996, Aristotle and Łukasiewicz on the Principle of Contradiction, Ames: Modern Logic Publishing. (Scholar)
• Simons, P., 1992, “Łukasiewicz, Meinong, and Many-Valued Logic”, in K. Szaniawski (ed.), The Vienna Circle and the Lvov-Warsaw School, Dordrecht: Kluwer, 1989, 249–91; reprinted in P. Simons, Philosophy and Logic in Central Europe from Bolzano to Tarski. Dordrecht: Kluwer, 193–225. (Scholar)
• Smiley, T. J., 1961, “On Łukasiewicz’s Ł-modal system”, Notre Dame Journal of Formal Logic, 2: 149–53. (Scholar)
• –––, 1974, “What is a Syllogism?”, Journal of Philosophical Logic, 2: 136–154. (Scholar)
• Sobociński, B., 1956, “In memoriam: Jan Łukasiewicz (1878–1956)” Philosophical Studies, 6: 3–49. [Includes as an appendix Łukasiewicz’s Curriculum Vitae of 1953.] (Scholar)
• Tarski, A., 1935/6, “Wahrscheinlichkeitslehre und mehrwertige Logik”, Erkenntnis, 5: 174–5. (Scholar)
• Wójcicki, R. and Malinowski, G. (eds.), 1977, Selected Papers on Łukasiewicz’s Sentential Calculi, Wrocław: Ossolineum. (Scholar)
• Woleński, J., 1994, “Jan Łukasiewicz on the Liar Paradox, Logical Consequence, Truth, and Induction”, Modern Logic, 4: 392–400. (Scholar)
• –––, 2000, “Jan Łukasiewicz und der Satz vom Widerspruch”, in N. Öffenberger and M. Skarica (eds.), Beiträge zum Satz vom Widerspruch und zur Aristotelischen Prädikationtheorie, Hildesheim: Olms, 1–42. (Scholar)
• –––, 2013, “The Rise of Many-Valued Logic in Poland”, in J. Woleński, Historico-Philosophical Essays (Volume 1), Kraków: Copernicus Press, 37–50. (Scholar)
• Zinoviev, A. A., 1963, Philosophical Problems of Many-Valued Logic, Dordrecht: D. Reidel. (Scholar)