The first axiomatization of relevant logic

Journal of Philosophical Logic 21 (4):339 - 356 (1992)
This is a review, with historical and critical comments, of a paper by I. E. Orlov from 1928, which gives the oldest known axiomatization of the implication-negation fragment of the relevant logic R. Orlov's paper also foreshadows the modal translation of systems with an intuitionistic negation into S4-type extensions of systems with a classical, involutive, negation. Orlov introduces the modal postulates of S4 before Becker, Lewis and Gödel. Orlov's work, which seems to be nearly completely ignored, is related to the contemporaneous work on the axiomatization of intuitionistic logic
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DOI 10.1007/BF00260740
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References found in this work BETA
Clarence Irving Lewis (1959). Symbolic Logic. [New York]Dover Publications.
A. Heyting (1971). Intuitionism. Amsterdam,North-Holland Pub. Co..

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Citations of this work BETA
Edwin D. Mares (1993). Classically Complete Modal Relevant Logics. Mathematical Logic Quarterly 39 (1):165-177.
Kosta Došen (1992). The First Axiomatization of Relevant Logic. Journal of Philosophical Logic 21 (4):339 - 356.
Kosta Došen (1992). Modal Translations in Substructural Logics. Journal of Philosophical Logic 21 (3):283 - 336.

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