Remarks on the modal logic of Henry Bradford Smith

Journal of Philosophical Logic 29 (6):603-615 (2000)
H. B. Smith, Professor of Philosophy at the influential 'Pennsylvania School' was (roughly) a contemporary of C. I. Lewis who was similarly interested in a proper account of 'implication'. His research also led him into the study of modal logic but in a different direction than Lewis was led. His account of modal logic does not lend itself as readily as Lewis' to the received 'possible worlds' semantics, so that the Smith approach was a casualty rather than a beneficiary of the renewed interest in modality. In this essay we present some of the main points of the Smith approach, in a new guise
Keywords H. B. Smith  modal logic  accessibility  relational semantics  paraconsistency
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DOI 10.1023/A:1026520223346
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References found in this work BETA
Symbolic Logic.Clarence Irving Lewis - 1932 - Dover Publications.
The Elements of Mathematical Logic.Paul C. Rosenbloom - 1950 - New York]Dover Publications.
Zur Logik der Modalitäten.Oskar Becker - 1930 - Max Niemeyer Verlag.
On Finite and Infinite Modal Systems.C. West Churchman - 1938 - Journal of Symbolic Logic 3 (2):77-82.
An Essay in Classical Modal Logic.Karl Krister Segerberg - 1971 - Dissertation, Stanford University

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A Formal Characterisation of Hamblin's Action-State Semantics.Chris Reed & Timothy J. Norman - 2007 - Journal of Philosophical Logic 36 (4):415 - 448.

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