Abstract
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.
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REFERENCES
Becker, O., 1930: Zur logick der Modalitäten, Jahrbuch für Philosophie und Phönomenologische Forschung 11, 497-548.
Churchman, C.W., 1942: Towards a general logic of propositions, in Philosophical Essays in Honor of Edgar Arthur Singer Jr., University of Pennsylvania Press, pp. 46-68.
Churchman, C.W., 1938: On finite and infinite modal systems, J. Symbolic Logic 3, 77-82.
Langholm, T., 1987: H. B. Smith on modality: A logical reconstruction, J. Philos. Logic 16(4), 337-346.
Lewis, C. I. and Langford, C. H., 1932: Symbolic Logic, 2nd edn., Dover, New York, 1959.
MacLeod, M. C., 1989: A semantics for the logic of Smith and Churchman, MA thesis, Dalhousie University.
Parry, W. T., 1970: In memoriam Clarence Irving Lewis, Notre Dame J. Formal Logic XI(2) (April), 129-140.
Rosenbloom, P. C., 1950: Elements of Mathematical Logic, Dover, New York.
Schotch, P. K. and Jennings, R. E., 1989: On detonating, in Priest, G. R. Routley, and J. Norman (eds), Paraconsistent Logic, Philosophia Verlag, München, pp. 306-327.
Segerberg, K., 1971: An Essay in Classical Modal Logic, Uppsala.
Slote, 1982: Selective necessity and free Will, J. Philos. 74, 5-24.
van Fraassen, B. C., 1973: Modal and Many-Valued Logic, unpublished.
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MacLeod, M.C., Schotch, P.K. Remarks on the Modal Logic of Henry Bradford Smith. Journal of Philosophical Logic 29, 603–615 (2000). https://doi.org/10.1023/A:1026520223346
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DOI: https://doi.org/10.1023/A:1026520223346