Conclusion
Having gained some idea of what MacIntosh logics there are, we conclude this paper with a remark about the totality of them. Let theterritory of a rule or condition be the class of all modal logics that have the rule or satisfy the condition. What is MacIntosh territory, the class of all normal logics with the MacIntosh rule, like? What is its structure?
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Robert Merrihew Adams, “The logical structure of Anselm's arguments.”Philosophical Review 80 (1971) 28–54.
Robert Bull and Krister Segerberg, “Basic modal logic.” InHandbook of Philosophical Logic. Volume II: Extensions of Classical Logic, edited by Dov M. Gabbay and Franz Guenthner, pp. 1–88. Dordrecht: D. Reidel Publishing Company, 1984.
Brian F. Chellas,Modal Logic: An Introduction. Cambridge and New York: Cambridge University Press, 1980; reprinted with corrections 1988.
G. E. Hughes and M. J. Cresswell,An Introduction to Modal Logic. London and New York: Methuen & Co., 1968; reprinted with corrections 1972.
G. E. Hughes, and M. J. Cresswell,A Companion to Modal Logic. London and New York: Methuen & Co., 1984.
Saul A. Kripke,Naming and Necessity. Cambridge, Massachusetts: Harvard University Press, 1980.
E. J. Lemmon, in collaboration with Dana Scott,The “Lemmon Notes”: An Introduction to Modal Logic (edited by Krister Segereberg).American Philosophical Quarterly Monograph Series (edited by Nicholas Rescher), no. 11. Oxford: Basil Blackwell, 1977.
J. J. Macintosh, “Reincarnation and relativized identity.”Religious Studies 25 (1989) 153–165.
J. J. MacIntosh, “Theological question-begging.”Dialogue 30 (1991) 531–547.
Krister Segerberg,An Essay in Classical Modal Logic. Uppsala: Philosophical Studies, 1971.
Timothy Williamson, “An alternative rule of disjunction in modal logic”.Notre Dame Journal of Formal Logic 33 (1992) 89–100.
Timothy Williamson, “Non-genuine MacIntosh logics.”Journal of Philosophical Logic 23 (1994) 87–101.
Author information
Authors and Affiliations
Additional information
We are especially indebted to Max Cresswell, Rob Goldblatt, Steve Kuhn, Jack MacIntosh, Tamara Ollenberg, and Tim Williamson for very helpful contributions along the way to the present version of this essay. Elements of it were presented by Chellas at a miniconference on Issues in Philosophical and Mathematical Logic, in Devonport, New Zealand, 11–12 May 1991, at a South West Logic Workshop in Seattle, Washington, 20 July 1991, and at a meeting of the Florida Philosophical Association in Boca Raton, Florida, 8 November 1991. We wish to thank all who offered comments at those gatherings. An earlier version of the paper appeared in the Auckland Philosophy Papers series of the Department of Philosophy, University of Auckland, in May 1991.
Rights and permissions
About this article
Cite this article
Chellas, B.F., Segerberg, K. Modal logics with the Macintosh rule. J Philos Logic 23, 67–86 (1994). https://doi.org/10.1007/BF01417958
Issue Date:
DOI: https://doi.org/10.1007/BF01417958