Deontic logic as founded on nonmonotonic logic

Ever since its inception in the work of von Wright, deontic logic has been developed primarily as a species of modal logic. I argue in this paper, however, that the techniques of nonmonotonic logic may provide a better theoretical framework — at least for the formalization of commensense normative reasoning — than the usual modal treatment. After reviewing some standard approaches to deontic logic, I focus on two areas in which nonmonotonic techniques promise improved understanding: reasoning in the presence of conflicting obligations, and reasoning with conditional obligations.

[1]  Sarit Kraus,et al.  Nonmonotonic Reasoning, Preferential Models and Cumulative Logics , 1990, Artif. Intell..

[2]  J. Sartre L'existentialisme est un humanisme , 1947 .

[3]  Raymond Reiter,et al.  A Logic for Default Reasoning , 1987, Artif. Intell..

[4]  B. Hansson An analysis of some deontic logics , 1969 .

[5]  P. Foot,et al.  Moral Realism and Moral Dilemma , 1983 .

[6]  Roel Wieringa,et al.  Applications of deontic logic in computer science: a concise overview , 1994 .

[7]  Nuel D. Belnap,et al.  How a Computer Should Think , 2019, New Essays on Belnap-­Dunn Logic.

[8]  J. Hintikka Deontic Logic and its Philosophical Morals , 1969 .

[9]  David Lewis,et al.  Semantic Analyses for Dyadic Deontic Logic , 1974 .

[10]  Brian F. Chellas Modal Logic: Normal systems of modal logic , 1980 .

[11]  David S. Touretzky,et al.  A Clash of Intuitions: The Current State of Nonmonotonic Multiple Inheritance Systems , 1987, IJCAI.

[12]  R. Hilpinen Deontic Logic: Introductory and Systematic Readings , 1981 .

[13]  Richmond H. Thomason,et al.  Deontic Logic as Founded on Tense Logic , 1981 .

[14]  J. M. Larrazabal,et al.  Reasoning about change , 1991 .

[15]  Jack Minker,et al.  On Indefinite Databases and the Closed World Assumption , 1987, CADE.

[16]  Paul McNamara,et al.  Deontic logic , 2006, Logic and the Modalities in the Twentieth Century.

[17]  John F. Horty,et al.  Some direct theories of nonmonotonic inheritance , 1994 .

[18]  Henry A. Kautz The Logic of Persistence , 1986, AAAI.

[19]  J. McCarthy Circumscription|a Form of Nonmonotonic Reasoning , 1979 .

[20]  Nuel D. Belnap,et al.  Entailment : the logic of relevance and necessity , 1975 .

[21]  John F. Horty,et al.  Moral dilemmas and nonmonotonic logic , 1994, J. Philos. Log..

[22]  Hector Geffner,et al.  Default reasoning - causal and conditional theories , 1992 .

[23]  R Fox,et al.  Moral dilemmas. , 1998, Journal of the Royal Society of Medicine.

[24]  Alan Donagan,et al.  Consistency in Rationalist Moral Systems , 1984 .

[25]  John L. Pollock,et al.  How to Reason Defeasibly , 1992, Artif. Intell..

[26]  John McCarthy,et al.  Circumscription - A Form of Non-Monotonic Reasoning , 1980, Artif. Intell..

[27]  James P. Delgrande,et al.  An Approach to Default Reasoning Based on a First-Order Conditional Logic: Revised Report , 1987, Artif. Intell..

[28]  Craig Boutilier Conditional logics for default reasoning and belief revision , 1992 .

[29]  M. Gelfond,et al.  Disjunctive Defaults , 1991 .

[30]  Bas C. van Fraassen,et al.  The logic of conditional obligation , 1972, J. Philos. Log..

[31]  Ernest Davis,et al.  Representations of commonsense knowledge , 2014, notThenot Morgan Kaufmann series in representation and reasoning.

[32]  B. V. Fraassen Values and the Heart's Command , 1973 .

[33]  Nuel D. Belnap,et al.  A Useful Four-Valued Logic , 1977 .

[34]  David S. Touretzky,et al.  A Skeptic's Menagerie: Conflictors, Preemptors, Reinstaters, and Zombies in Nonrnonotonic Inheritance , 1991, IJCAI.

[35]  Jon Doyle,et al.  Preferential Semantics for Goals , 1991, AAAI.

[36]  N. Campbell Formal Logic. , 1931, Nature.

[37]  Ruth Barcan Marcus,et al.  Moral Dilemmas and Consistency , 1980 .