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30 - The achievements of the Polish school of logic

from 8 - Logic and philosophy: the analytic programme

Published online by Cambridge University Press:  28 March 2008

By
Jan Woleński
Edited by
Thomas Baldwin
Jan Woleński
Affiliation:
Jagiellonian University
Thomas Baldwin
Affiliation:
University of York
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Summary

INTRODUCTION

In the most narrow sense, the Polish school of logic may be understood, as the Warsaw school of mathematical logic with Jan Łukasiewicz, Stanisław Leśniewski, and Alfred Tarski as the leading figures. However, valuable contributions to mathematical logic were also made outside Warsaw, in particular by Leon Chwistek. Thus, the Polish school of logic sensu largo also comprises logicians not belonging to the Warsaw school of logic. The third interpretation is still broader. If logic is not restricted only to mathematical logic, several Polish philosophers who were strongly influenced by formal logical results, for example Kazimierz Ajdukiewicz and Tadeusz Kotarbiński, can be included in the Polish school of logic sensu largissimo. Polish work on logic can therefore encompass a variety of topics, from the ‘hard’ foundations of mathematics (e.g. inaccessible cardinals, the structure of the real line, or equivalents of the axiom of choice) through formal logic, semantics, and philosophy of science to ideas in ontology and epistemology motivated by logic or analysed by its tools. Since the development of logic in Poland is a remarkable historical phenomenon, I shall first discuss its social history, especially the rise of the Warsaw school. Then I shall describe the philosophical views in question, the most important and characteristic formal results of Polish logicians, their research in the history of logic, and applications of logic to philosophy. My discussion will be selective: in particular I will omit most results in the ‘hard’ foundations of mathematics.

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The Cambridge History of Philosophy 1870–1945 , pp. 401 - 416
Publisher: Cambridge University Press
Print publication year: 2003

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References

Ajdukiewicz, K. (1974). Pragmatic Logic, Warsaw and Dordrecht: The Polish Scientific Publishers–Reidel.CrossRefGoogle Scholar
Ajdukiewicz, K. (1978). The Scientific World-Perspective and Other Essays, 1931–1963, ed. Giedymin, J., Dordrecht: Reidel.Google Scholar
Bar-Hillel, Z. and Fraenkel, A. (1958). Foundations of Set Theory, Amsterdam: North-Holland.Google Scholar
Chwistek, L. (1948). The Limits of Science: Outline of Logic and of the Methodology of the Exact Sciences, London: Kegan Paul.Google Scholar
Coniglione, F., Poli, R., and Woleński, J. (eds.) (1993). Polish Scientific Philosophy: The Lvov-Warsaw School, Amsterdam: Rodoapi.Google Scholar
Czeżowski, T. (1999). Selected Papers, ed. Gumański, L., Amsterdam: Rodopi.Google Scholar
Jaśkowski, S. (1934). On the Rules of Supposition in Formal Logic, Warsaw: Nakładem Seminarium Filozoficznego Wydzialn Matematyczno-Przyrodnicznego Universy tetr Warszawskeigo. Repr. 1967 in McCall, S. (ed.), Polish Logic 1920–37, Oxford: Clarendon Press.Google Scholar
Jordan, Z. (1945). The Development of Mathematical Logic and of Logical Positivism in Poland between Two Wars, Oxford: Oxford University Press; repr. in McCall, 1967.Google Scholar
Kijania-Placek, K. and Woleński, J. (eds.) (1988). The Lvov-Warsaw School and Contemporary Philosophy, Dordrecht: Kluwer.Google Scholar
Kotarbiński, T. (1966). Gnosiology. The Scientific Approach to the Theory of Knowledge, Wroclaw: Ossolineum and Oxford: Pergamon Press.Google Scholar
Leśniewski, S. (1988). Lecture Notes in Logic, ed. Srzednicki, J. T. J. and Stachniak, Z., Dordrecht: Kluwer.Google Scholar
Leśniewski, S. (1992). Collected Works, vols. I–II, ed. Surma, S. J., Srzednicki, J. T. J., Barnett, D. I., and Rickey, V. T., Dordrecht: Kluwer.Google Scholar
Łukasiewicz, J. and Tarski, A. (1930). ‘Untersuchungen über den Aussagen Kalkül’, Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie (Classe 3) 23 Trans. ‘Investigations into the Sentential Calculus’ in Lstrok;ukasiewicz, 1970 and Tarski, 1956.Google Scholar
Łukasiewicz, J. (1957). Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic, Oxford: Clarendon Press.Google Scholar
Łukasiewicz, J. (1970). Selected Works, ed. Borkowski, L., Warsaw: Polish Scientific Publishers and Amsterdam: North-Holland Publishing Company.Google Scholar
Luschei, E. (1962). The Logical Systems of Leśniewski, Amsterdam: North-Holland Publishing Company.Google Scholar
McCall, S. (ed.) (1967). Polish Logic 1920–1939, Papers by Ajdukiewicz, , Chwistek, , Jaśkowski, , Jordan, , Leśniewski, , Łukasiewicz, , SŁupecki, , Sobociński, , and Wajsberg, , Oxford: Clarendon Press.Google Scholar
Mostowski, A. (1948). Logika matematyczna (Mathematical Logic), Warsaw: Monografie Matematyczne.Google Scholar
Mostowski, A. (1967). ‘Tarski, Alfred’ in Edwards, P. (ed.), The Encyclopedia of Philosophy, vol. VIII, New York: Macmillan.Google Scholar
Mostowski, A. (1979). ‘Foundational Studies’, Selected Works, vols. I–II, Warsaw: Polish Scientific Publishers and Amsterdam: North Holland Publishing Company.Google Scholar
Sierpiński, W. (1965). Cardinal and Ordinal Numbers, Warsaw: Polish Scientific Publishers.Google Scholar
Sinisi, V. and Woleński, J. (eds.) (1994). The Heritage of Kazimierz Ajdukiewicz, Amsterdam: Rodopi.Google Scholar
Skolimowski, H. (1967). Polish Analytical Philosophy, London: Routledge.Google Scholar
Srzednicki, J. T. J. and Stachniak, Z. (eds.) (1998). Leśniewski’s System: Protothetic, Dordrecht: Kluwer.CrossRefGoogle Scholar
Srzednicki, J. T. J., Rickey, V. F., and Czelakowski, J. (eds.) (1984). Leśniewski’s Systems: Ontology and Mereology, The Hague: Martinus Nijhoff and WrocŁaw: Ossolineum.CrossRefGoogle Scholar
Tarski, A. (1956). Logic, Semantics, Metamathematics Papers from 1923–1939, Oxford: Oxford University Press; 2nd edn 1984, Corcoran, J., Indianapolis: Hackett Publishing Company.Google Scholar
Tarski, A. (1986). Collected Papers, vols. I–IV, ed. Givant, R. S. and McKenzie, R. M., Basle: Birkhaüser Verlag.Google Scholar
Twardowski, K. (1977). On the Content and Object of Presentation. A Psychological Investigation, The Hague: Nijhoff.CrossRefGoogle Scholar
Twardowski, K. (1999). Selected Philosophical Papers, ed. Brandl, J. and Woleński, J., Amsterdam: Rodopi.Google Scholar
Wajsberg, M. (1977). Logical Works, ed. Surma, S. J., Wrocław: Ossolineum.Google Scholar
Woleński, J. (1989). Logic and Philosophy in the Lvov-Warsaw School, Dordrecht: Kluwer.CrossRefGoogle Scholar
Woleński, J. (ed.) (1990). Kotarbiński: Logic, Semantics and Ontology, Dordrecht: Kluwer.CrossRefGoogle Scholar
Zawirski, Z. (1994). Selected Writings on Time, Logic and the Methodology of Science, ed. Szumilewicz-Lachman, I., Dordrecht: Kluwer.Google Scholar

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