Abstract
I discuss various aspects of the Lvov-Warsaw School: its past, present and future; its location, evolution, mathematics; the variety of its members. I develop this analysis on the basis of my 25-year experience with Poland.
Dedicated to Jan Zygmunt, my host during my first stay in Poland, Wrocław, 1992–93
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Notes
- 1.
- 2.
A systematic paper on that was published in Logique et Analyse [32] and a more philosophical note [33], related to the talk I presented in Bahía Blanca was published in the same proceedings as Surma’s paper; see also Loparic and da Costa’s paper reprinted in the anthology of universal logic [21] with my comments.
- 3.
- 4.
She later on committed suicide and I dedicated to her a paper I wrote on suicide [11]. When in Poland I visited Auschwitz and this was a terrific experience.
- 5.
See our recent paper “Is logical relativity irrational?” in a special issue of Studia Metodologiczne dedicated to Ajdukiewicz [25].
- 6.
- 7.
I recently defended the idea that anti-classical logic, the complementary of classical logic, can be considered as a logic in view in particular of the theory of refutation initiated by Łukasiewicz. Anti-classical logic is a concrete example of a logic obeying none of Tarski’s axioms; See [27].
References
Ajdukiewicz, K.: Z metodologii nauk dedukcyjnych, Lvov (1921)
Ajdukiewicz, K.: Allocution d’ouverture VI. In: Actes du congrès international de philosophie scientifique, Sorbonne, Paris, 1935 Volume I, pp. 19–21. Hermann, Paris (1936)
Ajdukiewicz, K.: Logistyczny antyirracjonalizm w Polsce. Przeglad Filozoficzny, vol. 37, pp. 399–408 [English translation: Logistic Anti-Irrationalism in Poland. Poznań Studies in the Philosophy of the Sciences and the Humanities, vol. 74, pp. 241–250. Rodopi, Amsterdam (2001)]
Balcerzyk, S., Bartol, W., Orłowska, E., Wieczorek, A., Wojciechowska-Waszkiewicz, A.: Jerzy Łoś 1920–1998. Stud. Logica 65, 301–314 (2000)
Batóg, T.: Ajdukiewicz and the development of formal logic. In: Sinisi, V., Woleński, J. (eds.) The Heritage of Kazimierz Ajdukiewicz. Poznań Studies in the Philosophy of Sciences and the Humanities, vol. 40, pp. 53–67. Rodopi, Amsterdam (1995)
Batóg, T., Łuszczewska-Romahnowa, S.: Logic and methodology of science. In: Krajewski, W. (ed.) Polish Philosophers of Science and Nature in the 20th Century. Poznań Studies in the Philosophy of Sciences and the Humanities, vol. 74, pp. 53–67. Rodopi, Amsterdam (2001)
Beziau, J.-Y.: D’une caverne à l’autre. Master Thesis, Department of Philosophy, University Panthón Sorbonne (Paris 1), Paris (1988)
Beziau, J.-Y.: La logique paraconsistante C1 de Newton da Costa. Master Thesis, Department of Mathematics, University Denis Diderot (Paris 7), Paris (1990)
Beziau, J.-Y.: La logique abstraite au sein de la mathématique moderne. Ruch Filozoficzny 50, 289–293 (1993)
Beziau, J.-Y.: Recherches sur la logique universelle. PhD Thesis, Department of Mathematics, University Denis Diderot (Paris 7), Paris (1995)
Beziau, J.-Y.: O suicídio segundo Arthur Schopenhauer. Discurso 28, 127–143 (1997)
Beziau, J.-Y.: Rules, derived rules, permissible rules and the various types of systems of deduction. In: Hauesler, E.H., Pereira, L.C. (eds.) Proof, Types and Categories, pp. 159–184. PUC, Rio de Janeiro (1999)
Beziau, J.-Y.: The philosophical import of Polish logic. In: Talasiewicz, M. (ed.) Methodology and Philosophy of Science at Warsaw University, pp. 109–124. Semper, Warsaw (2002)
Beziau, J.-Y.: From consequence operator to universal logic: a survey of general abstract logic. In: Logica Universalis: Towards a General Theory of Logic, pp. 3–17. Birkhäuser, Basel (2005)
Beziau, J.-Y.: 13 Questions about universal logic. Bull. Sect. Log. 35, 133–150 (2006)
Beziau, J.-Y.: Les axiomes de Tarski. In: Pouivet, R., Rebuschi, M. (eds.) La philosophie en Pologne 1918–1939, pp. 135–149. Vrin, Paris (2006)
Beziau, J.-Y.: The paraconsistent logic Z - A possible solution to Jaśkowski’s problem. Log. Log. Philos. 15, 99–111 (2006)
Beziau, J.-Y.: Adventures in the paraconsistent jungle. In: Beziau, J.-Y., Carnielli, W.A., Gabbay, D.M. (eds.) Handbook of Paraconsistency, pp. 63–80. College Publication, London (2007)
Beziau, J.-Y.: What is a logic? - Towards axiomatic emptiness. Log. Investig. 16, 272–279 (2010)
Beziau, J.-Y.: A new four-valued approach to modal logic. Log. Anal. 54, 109–121 (2011)
Beziau, J.-Y. (ed.): Universal Logic: An Anthology. Birkhäuser, Basel (2012)
Beziau, J.-Y.: The new rising of the square of opposition. In: Beziau, J.-Y., Jacquette, D. (eds.) Around and Beyond the Square of Opposition, pp. 6–24. Birkhäuser, Basel (2012)
Beziau, J.-Y.: The relativity and universality of logic. Synthese. Special Issue Istvan Németi 70th Birthday 192, 1939–1954 (2015)
Beziau, J.-Y.: Logical autobiography 50. In: Koslow, A., Buchsbaum, A. (eds.) The Road to Universal Logic: Festschrift for the 50th Birthday of Jean-Yves Beziau Volume II, pp. 19–104. Birkhäuser, Basel (2015)
Beziau, J.-Y.: Is logical relativity irrational? Stud. Metodologiczne. Special Issue Kazimierz Ajdukiewicz 35, 63–78 (2015)
Beziau, J.-Y.: Hartley Slater and false contradictions. South Am. J. Log. 6, 101–107 (2016)
Beziau, J.-Y., Buchsbaum, A.: Let us be antilogical: anti-classical logic as a logic. In: Moktefi, A., Moretti, A., Schang, F. (eds.) Soyons Logiques/Let Us Be Logical, pp. 1–10. College Publication, London (2016)
Beziau, J.-Y., Silvestre, R.: Logic and religion. Log. Univers. 11, 1–12 (2017)
Burckhardt, J.: Der Cicerone Eine Anleitung zum Genu der Kunstwerke Italiens. Schweighauser, Basel (1855)
Chapman, S.: Language and Empiricism - After the Vienna Circle. Palgrave Macmillan, Basingstoke (2018)
Coniglione, F., Poli, R., Woleński, J. (eds.): Polish Scientific Philosophy: The Lvov-Warsaw School. Rodopi, Amsterdam (1993)
da Costa, N.C.A., Beziau, J.-Y.: La théorie de la valuation. Log. Anal. 146, 95–117 (1994)
da Costa, N.C.A., Beziau, J.-Y.: La théorie de la valuation en question. In: Abad, M. (ed.) Proceedings of the Ninth Latin American Symposium on Mathematical Logic, pp. 95–104. Universidad del Sur, Baíha Blanca (1994)
de Moraes, L.: Sôbre a lógica discurisva de Jaśkowski. Master Thesis, University of São Paulo, São Paulo (1970)
D’Ottaviano, I.M.L., da Costa, N.C.A.: Sur un problème de Jaśkowski. C. R. Acad Sci. Paris 270, 1349–1353 (1970)
Dresner, E.: Quines philosophy of language and Polish logic. Hist. Philos. Log. 20, 79–96 (1999)
Ehrenfeucht, A., Marek, W., Srebrny, M. (eds.): Andrzej Mostowski and Foundational Studies. IOS Press, Amsterdam (2008)
Feferman, S., Feferman, A.: Alfred Tarski, Life and Work. Cambridge University Press, Cambridge (2004)
Gan-Krzywoszyńska, K.: Personal recollections about JYB by Newton da Costa and others. In: Koslow, A., Buchsbaum, A. (eds.) The Road to Universal Logic: Festschrift for the 50th Birthday of Jean-Yves Beziau Volume II, pp. 1–18. Birkhäuser, Basel (2015)
Guillaume, M.: La logique mathématique en sa jeunesse. In: Pier, J.-P. (ed.) Development of Mathematics 1900–1950, pp. 185–367. Birkhäuser, Basel (1994)
Guillaume, M.: Regard en arrière sur quinze annèes de coopération douce avec lécole brésilienne de logique paraconsistante. Log. Aanal. 39, 5–14 (1996)
Guillaume, M.: La logique mathématique en France entre les deux guerres mondiales: Quelques repères. Rev. Hist. Sci. 62, 177–219 (2009)
Hendricks, V.F., Malinowski, J.: 50 years of studia logica: editorial introduction. In: Trends in Logic 50 Years of Studia Logica, pp. 1–10. Springer, Dordrecht (2003)
Henkin, L., Suppes, P., Tarski, A. (eds.): The axiomatic method, with special reference to geometry and physics. In: Proceedings of an International Symposium Held at the University of California, Berkeley, December 26, 1957–January 4, 1958. North-Holland, Amsterdam (1959)
Jansana, R.: Bloom, Brown and Suszko’s work on abstract logics. In: Beziau, J.-Y. (ed.) Universal Logic: An Anthology, pp. 251–256. Birkhäuser, Basel (2012)
Jáskowski, S.: Rachunek zdan dla systemów dedukcyjnych sprzecznych. Stud. Soc. Scientiarum Torunensis Sect. A I(5), 55–77 (1948)
Jordan, Z.: The development of mathematical logic and of logical positivism in Poland between the two wars. In: Polish Science and Learning, vol. 6. Oxford Oniversity Press, Oxford (1945)
Kijania-Placek, K., Woleński, J. (eds.): The Lvov-Warsaw School and Contemporary Philosophy. Springer, Dordrecht (1998)
Lapointe, A., Woleński, J., Marion, M., Miskiewicz, W.: The Golden Age of Polish Philosophy - Kazimierz Twardowski’s Philosophical Legacy. Springer, Dordrecht (2009)
Leśniewski, S.: In: Surma, S.J., Srzednicki, J.T., Barnett, D.I., Rickey, V.F. (eds.) Collected Works, 2 volumes. Nijhoff - Kluwer, Amsterdam; Polish Academy of Science, Warsaw (1992)
Łoś, J.: O matrycach logicznych’. Prace Wrocławskiego Towarzystwa Naukowego Seria B 19, 1–41 (1949)
Łukasiewicz, J.: O zasadzie sprzeczności u Arystotelesa. Akademia Umiejȩtniści, Kraków (1910)
Łukasiewicz, J.: O logice trójwartościowej Ruch Filozoficny 5, 170–171 (1920)
Mostowski, A.: Foundational Studies, Selected Works, vols. 1 and 2. North-Holland, Amsterdam (1979)
Murawski, R.: The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland. Birkhäuser, Basel (2014)
Pogorzelski, W., Wojtylak, P.: Completeness Theory for Propositional Logics. Birkhäuser, Basel (2008)
Pouivet, R., Rebuschi, M. (eds.): La philosophie en Pologne 1918–1939. Vrin, Paris (2006)
Quine, W.V.O.: The Time of My Life. MIT Press, Cambridge (1985)
Rasiowa, H.: An Algebraic Approach to Non-Classical Logics. North-Holland, Amsterdam (1974)
Reichbach, J.: Completeness of the functional calculus of first-order. Stud. Logica 2, 245–250 (1955)
Reichbach, J.: On the first-order functional calculus and the truncation of models. Stud. Logica 7, 181–220 (1958)
Rescher, N.: The Berlin school of logical empiricism and its legacy. Erkenntnis 64, 281–304 (2006)
Rousseau, J.-J.: Dictionnaire de la musique. Marc Michel Rey, Amsterdam (1768) [English translation by William Waring, London, 1779]
Schmidt Am Busch, H.C., Wehmeier, K.F.: On the relations between Heinrich Scholz and Jan Łukasiewicz. Hist. Philos. Log. 28, 67–81 (2007)
Sinisi, V., Woleński, J. (eds.): The Heritage of Kazimierz Ajdukiewicz. Poznań Studies in the Philosophy of Sciences and the Humanities, vol. 40. Rodopi, Amsterdam (1995)
Skolimowski, H.: Polish Analytical Philosophy. Routledge and Kegan Paul, London (1967)
Sobociński, B.: In Memoriam Jan Łukasiewicz (1878–1956). Philos. Stud. 6, 349 (1956)
Surma, S.: Studies in the History of Mathematical Logic. Ossolineum, Wrocław (1973)
Surma, S. (ed.): Special issue on Mordchaj Wajsberg. Bull. Sect. Log. 2, 91–96 (1973)
Surma, S.: On the origin and subsequent applications of the concept of the Lindenbaum algebra. In: Cohen, L.J., Łoś, J., Pfeiffer, H., Podewski, K.-P. (eds.) Logic, Methodology and Philosophy of Science, VI (Hannover, 1979), pp. 719–734. North-Holland, Amsterdam (1982)
Surma, S.: The logical work of Mordchaj Wajsberg. In: Srzednicki, J. (ed.) Initiatives in Logic, pp. 101–115. Matrinus Nijhoff, Dordrecht (1987)
Surma, S.: Alternatives to the consequence theoretic approach to metalogic. In: Abad, M. (ed.) Proceedings of the Ninth Latin American Symposium on Mathematical Logic, pp. 1–30. Universidad del Sur, Baha Blanca (1994)
Surma, S.: A Galois connection. Logica Univers. 1, 209–219 (2007)
Suszko, R.: The Fregean Axiom and Polish mathematical logic in the 1920s. Stud. Logica 36, 377–380 (1978)
Szaniawski, K. (ed.): The Vienna Circle and the Lvov-Warsaw School. Nijhoff, Dordrecht (1988)
Tarski, A.: O Logice Matematycznej i Metodzie Dedukcyjnej, Atlas, Lvov-Warsaw (1936). Eng. ed., Introduction to Logic and to the Methodology of Deductive Sciences. Oxford University Press, Oxford (1941)
Tarski, A.: O pojciu wynikania logicznego. Przegld Filozoficzny 39, 58–68 (1936)
Tarski, A.: Sur la méthode déductive. Travaux du IXe Congrès International de Philosophie, vol. 6, Actualités Scientifiques et Industrielles, vol. 535, pp. 95–103. Hermann & Cie, Paris (1937)
Tarski, A.: In: Givant, S.R., McKenzie, R.N. (eds.) Collected Papers - 4 Volumes. Birkhäuser, Basel (1986)
Tarski, A.: Drei Briefe an Otto Neurath. Grazer Philosophische Studien 43, 1–32 (1992)
Wajsberg, M.: Logical Works (translated and edited by S.J. Surma). Ossolineun, Wrocław (1977)
Wójcicki, R.: Lectures on Propositional Calculi. Ossolineum, Wrocław (1984)
Wójcicki, R.: Theory of Logical Calculi. Basic Theory of Consequence Operations. Kluwer, Dordrecht (1988)
Wójcicki, R.: The postwar panorama of logic in Poland. In: dalla Chiara, M.L., et al. (eds.) Logic and Scientific Methods, pp. 497–508. Kluwer, Dordrecht (1997)
Wójcicki, R., in collaboration with Zygmunt, J.: Polish logic in postwar period. In: Trends in Logic 50 Years of Studia Logica, pp. 11–33. Springer, Dordrecht (2003)
Woleński, J.: Filozoficzna szkoła lwowsko-warszawska. Państwowe Wydawnictwo Naukowe, Warszawa (1985)
Woleński, J.: Filozofia szkoły lwowsko-warszawskiej. Uniwersyte Wrocławski, Wrocław (1986)
Woleński, J.: Logic and Philosophy in the Lvov-Warsaw. Kluwer, Dordrecht (1989)
Woleński, J.: Polish logic. Log. J. IGPL 2, 93–100 (1992)
Woleński, J.: Philosophy inside communism: the case of Poland. Stud. Sov. Thought 43, 93–100 (1992)
Woleński, J.: Mathematical logic in Poland 1900 1939: people, circles, institutions, ideas. Mod. Log. 5, 363–405 (1995)
Woleński, J.: Essays in the History of Logic and Logical Philosophy. Jagiellonian University Press, Kraków (1999)
Woleński, J.: The achievements of Polish School of Logic. In: Baldwin, Th. (ed.) The Cambridge History of Philosophy 1870–1945, pp. 401–416. Cambridge University Press, Cambridge (2003)
Woleński, J.: Mathematical logic in Warsaw: 1918–1939. In: Ehrenfeucht, A., Marek, W., Srebrny, M. (eds.) Andrzej Mostowski and Foundational Studies, pp. 30–46. IOS Press, Amsterdam (2008)
Woleński, J.: Kazimierz Twardowski and the development of philosophy of science in Poland. In: Galavotti, M.C., Nemeth, E., Stadler, F. (eds.) European Philosophy of Science: Philosophy of Science in Europe and the Viennese Heritage, pp. 173–182. Springer, Cham (2014)
Woleński, J.: Adolf Lindenbaum. In: Internet Encyclopedia of Philosophy (2017)
Woleński, J., Köhler, E.: Alfred Tarski and the Vienna Circle - Austro-Polish Connections in Logical Empiricism. Kluwer, Dordrecht (1999)
Woleński, J., Zygmunt, J.: Jerzy Słupecki (1904–1987): life and work. Stud. Logica 48, 401–411 (1989)
Wybraniec-Skardowska, U.: Polish Logic. Some Lines from a Personal Perspective. Publications of Institute for Logic, Language and Computation, Amsterdam (2009)
Wybraniec-Skardowska, U.: Logical squares for classical logic sentences. Logica Univers. 10, 293–312 (2016)
Zygmunt, J.: The logical investigations of Jan Kalicki. Hist. Philos. Log. 2, 41–53 (1981)
Zygmunt, J.: Mojȯzesz Presburger: life and work. Hist. Philos. Log. 12, 221–223 (1991)
Zygmunt, J.: Polish logic. In: Routledge Encyclopedia of Philosophy, pp. 6634–6639. Routledge, London/New York (1998)
Zygmunt, J., Purdy, R.: Adolf Lindenbaum: notes on his life, with bibliography and selected references. Logica Univers. 8, 285–320 (2014)
Acknowledgements
Thanks to Jan Zygmunt, Newton da Costa, Jan Woleński, Roman Murawski, Katarzyna Gan Krzywoszyńska, Pierre Cartier, Suasan Gómez, Vladimir Vsyukov, Urszula Wybraniec-Skardowska and Rober Purdy for information, photos, comments and remarks.
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Beziau, JY. (2018). The Lvov-Warsaw School: A True Mythology. In: Garrido, Á., Wybraniec-Skardowska, U. (eds) The Lvov-Warsaw School. Past and Present. Studies in Universal Logic. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-65430-0_55
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