Abstract
This paper describes and compares the first step in modern semantic theory for deontic logic which appeared in works of Stig Kanger, Jaakko Hintikka, Richard Montague and Saul Kripke in late 50s and early 60s. Moreover, some further developments as well as systematizations are also noted.
Similar content being viewed by others
References
A. R. Anderson,The Formal Analysis of Normative Systems, Technical Report no. 2, Office of Naval Research, Group Psychology Branch, New Haven 1956.
O. Becker,Untersuchungen über den Modalkalkül, Anton Hain, Meisenheim am Glan 1952.
J. van Eck:A system of temporally relative modal and deontic predicate logic and its philosophical applications,Logique et Analyse 99 (1982), pp. 249–290.
J. E. Fenstad,Notes on Normative Logic, Avhandlinger utgitt av Det Norske Videnskaps-Akademi I Oslo II. Hist.-Filos. Klasse. 1959. No. 1.
D. Føllesdal andR. Hilpinen,Deontic logic: an introduction, in [8], pp. 1–35.
M. Guillaume:Rapports entre calculs propositionnels modaux et topologie impliqués par certaines extensions de la méthode de tableaux sémantiques,Comptes rendus hebdomaires des séances de l'Academie des Sciences 246 (1958), pp. 1140–1142, 2207–2210, 247, pp. 1281–1283.
W. Hanson:Semantics for deontic logic,Logique et Analyse 31 (1965), pp. 177–190.
R. Hilpinen, ed.,Deontic Logic: Introductory and Systematic Readings, Reidel, Dordrecht 1971.
J. Hintikka:Quantifiers in Deontic Logic, Societas Scientiarum Fennica, Commentationes Humanarum Literarum XXIII, 4 (1957).
J. Hintikka,Some main problems in deontic logic, in [8], pp. 59–104.
J. Kalinowski:Théorie des propositions normatives,Studia Logica 1 (1953), pp. 147–182.
S. Kanger:Provability in Logic, Almqvist & Wiksell, Stockholm 1957.
S. Kanger:New Foundations for Ethical Theory, Stockholm 1957; repr. in [8], pp. 36–58.
S. Knuutilla:The emergence of deontic logic in the fourteenth century, in R. Hilpinen, ed.New Studies in Deontic Logic, Reidel, Dordrecht 1981, pp. 225–248.
S. Kripke:A completeness theorem in modal logic,Journal of Symbolic Logic 24 (1959), pp. 1–14.
S. Kripke:Semantical analysis of modal logic I: Normal propositional calculi,Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 9 (1963), pp. 67–96.
S. Kripke:Semantical considerations on modal logic,Acta Philosophica Fennica 16 (1963), pp. 83–94.
J. Lemmon:New foundations for Lewis modal systems,Journal of Symbolic Logic 22 (1957), pp. 176–186.
R. Montague:Logical necessity, physical necessity, ethics, and quantifiers,Inquiry 4 (1960), pp. 259–269.
A. N. Prior:The paradoxes of derived obligation,Mind 63 (1954), pp. 64–65.
T. Smiley:Relative necessity,Journal of Symbolic Logic 28 (1963), pp. 113–134.
G. H. von Wright:Deontic logic,Mind 60 (1951), pp. 1–15.
L. Åqvist:Deontic Logic, in D. Gabbay and F. Guenther, eds.Handbook of Philosophical Logic, vol. 2: Extensions of Classical Logic, Reidel, Dordrecht 1984, pp. 605–714.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Woleński, J. Deontic logic and possible worlds semantics: A historical sketch. Stud Logica 49, 273–282 (1990). https://doi.org/10.1007/BF00935603
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00935603