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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Clarence Irving Lewis (1959). Symbolic Logic. [New York]Dover Publications.

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