On Jan Łukasiewicz's ‘The Principle of Contradiction and Symbolic Logic’

History and Philosophy of Logic 41 (2):183-190 (2020)

Abstract

This is a companion article to the translation of ‘Zasada sprzeczności a logika symboliczna’, the appendix on symbolic logic of Jan Łukasiewicz's 1910 book O zasadzie sprzeczności u Arytotelesa (On the Principle of Contradiction in Aristotle). While the appendix closely follows Couturat's 1905 book L'algebra de la logique (The Algebra of Logic), footnotes show that Łukasiewicz was aware of the work of Peirce, Huntington and Russell (before Principia Mathematica). This appendix was influential in the development of the Polish school of logic, directly inspiring Stanisław Leśniewski and Leon Chwistek and more widely by serving as a text of the new symbolic logic. This appendix was an important source of the dominant algebraic logic in Poland, but also indicates that Łukasiewicz appreciated Russell's axiomatic approach to logic.

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Author's Profile

Bernard Linsky
University of Alberta

References found in this work

The Semantic Conception of Truth and the Foundations of Semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
O Zasadzie Sprzeczno Sci U Arystotelesa.Jan Łukasiewicz (ed.) - 1987 - Państwowe Wydawn. Nauk..
On the Principle of Contradiction in Aristotle.Jan Lukasiewicz & Vernon Wedin - 1971 - Review of Metaphysics 24 (3):485 - 509.
The Theory of Implication.Bertrand Russell - 1906 - American Journal of Mathematics 28:158-202.

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