Skip to main content

Part of the book series: Synthese Historical Library ((SYHL,volume 9))

Abstract

Jan Łukasiewicz, by his own account, entered the lists in 1923 as an interpreter of ancient logic from the standpoint of modern formal logic. In that year he began defending his view of the contrast of Stoic logic with Aristotelian logic; this view appeared in print for the first time in 1930.1 This was followed by the Polish version in 1934, and the German in 1935, of his landmark paper, ‘On the History of the Logic of Propositions’ [9]. During the same period Łukasiewicz was lecturing on Aristotle’s syllogistic. An authorized version of his lectures on this and other logical topics was published by students at the University of Warsaw in 1929, republished in Warsaw in 1958, and finally translated into English in 1963 under the title Elements of Mathematical Logic [7]. Łukasiewicz elaborated his researches until he issued in 1951 his now famous monograph Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic. A second edition, enlarged but not revised, appeared in 1957, its author’s death having occurred in the previous year [6].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Bochénski, I. M., Ancient Formal Logic, North-Holland Publ. Comp., Amsterdam, 1951.

    Google Scholar 

  2. Bochénski, I. M., A History of Formal Logic, (transl. and ed. by Ivo Thomas), Second ed. corrected, Chelsea Publ. Comp., New York, 1970.

    Google Scholar 

  3. Corcoran, John, ‘A Mathematical Model of Aristotle’s Syllogistic’, Archiv für Geschichte der Philosophie 55 (1973), 191–219.

    Article  Google Scholar 

  4. Corcoran, John, ‘Three Logical Theories’, Philosophy of Science 36 (1969), 153–157.

    Article  Google Scholar 

  5. Kretzmann, Norman, ‘Semantics, History of’, in Encyclopedia of Philosophy (ed. by Paul Edwards), Macmillan and Free Press, New York, 1967, Vol. 7, pp. 358–406.

    Google Scholar 

  6. Łukasiewicz, Jan, Aristotle’s Syllogistic from the Standpoint of Modern Formal Logic, Oxford Univ. Press, Oxford, 1951. Second ed. enlarged, 1957.

    Google Scholar 

  7. Łukasiewicz, Jan, Elementy logiky matematycznej (ed. by M. Presburger), Publications of Students of Mathematics and Physics in Warsaw Univ.; Vol. 18, Warsaw, 1929. Second ed., Polish Scientific Publ., Warsaw, 1958. English transl. by Olgierd Wojtasiewicz, Pergamon Press, Oxford, 1963.

    Google Scholar 

  8. Łukasiewicz, Jan, ‘Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalküls’, Comptes rendus des séances de la Sociéte des Sciences et des Lettres de Varsovie 23 (1930). English transl. by H. Weber in McCall [10] as ‘Philosophical Remarks on Many-Valued Systems of Propositional Logic’, pp. 40–65.

    Google Scholar 

  9. Łukasiewicz, Jan, ‘Z historii logiki zdań’, Przegląd Filozoficzny 27 (1934), 417–437. German version ‘Zur Geschichte der Aussagenlogik’, Erkenntnis 5 (1935), 111–131. English transl. from German version by S. McCall in McCall [10], pp. 66–87.

    Google Scholar 

  10. McCall, Storrs (ed.), Polish Logic 1920–1939, Oxford Univ. Press, Oxford, 1967.

    Google Scholar 

  11. Merlan, Philip, ‘Aristotle’s Unmoved Movers’, Traditio 4 (1946), 1–30.

    Google Scholar 

  12. Merlan, Philip, “On the Terms ‘Metaphysics’ and ‘Being-Qua-Being’”, The Monist 52 (1968), 174–194.

    Google Scholar 

  13. Mulhern, M. M., ‘Aristotle on Universality and Necessity’, Logique et Analyse 12 (1969), 288–299.

    Google Scholar 

  14. Mulhern, M. M., ‘Types of Process According to Aristotle’, The Monist 52 (1968), 237–251.

    Google Scholar 

  15. Peirce, C. S., Collected Papers (ed. by Charles Hartshorne and Paul Weiss), 8 Volumes, Harvard Univ. Press, Cambridge, 1960–1961.

    Google Scholar 

  16. Ross, Sir David, Aristotle’s Prior and Posterior Analytics; a revised text with introduction and commentary, Oxford Univ. Press, Oxford, 1965.

    Google Scholar 

  17. Ryle, Gilbert, Dilemmas, Cambridge Univ. Press, Cambridge, 1966.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1974 D. Reidel Publishing Company, Dordrecht-Holland

About this chapter

Cite this chapter

Mulhern, M. (1974). Corcoran on Aristotle’s Logical Theory. In: Corcoran, J. (eds) Ancient Logic and Its Modern Interpretations. Synthese Historical Library, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2130-2_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-2130-2_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2132-6

  • Online ISBN: 978-94-010-2130-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics