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  1. Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
    A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here offers an (...)
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  • Counterfactuals.David K. Lewis - 1973 - Malden, Mass.: Blackwell.
    Counterfactuals is David Lewis' forceful presentation of and sustained argument for a particular view about propositions which express contrary to fact conditionals, including his famous defense of realism about possible worlds and his theory of laws of nature.
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  • An analysis of Hansson's dyadic deontic logic.Wolfgang Spohn - 1975 - Journal of Philosophical Logic 4 (2):237 - 252.
    Recently, Bengt Hansson presented a paper about dyadic deontic logic,2 criticizing some purely axiomatic systems of dyadic deontic logic and proposing three purely semantical systems of dyadic deontic logic which he confidently called dyadic standard systems of deontic logic (DSDL1–3). Here I shall discuss the third by far most interesting system DSDL3 which is operating with preference relations. First, I shall describe this semantical system (Sections 1.1–1.3). Then I shall give an axiomatic system (Section 1.4) which is proved to be (...)
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  • Five faces of minimality.David Makinson - 1993 - Studia Logica 52 (3):339 - 379.
    We discuss similarities and residual differences, within the general semantic framework of minimality, between defeasible inference, belief revision, counterfactual conditionals, updating — and also conditional obligation in deontic logic. Our purpose is not to establish new results, but to bring together existing material to form a clear overall picture.
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  • On the semantics and logic of obligation.Frank Jackson - 1985 - Mind 94 (374):177-195.
    This paper develops an informal semantics for 'ought to be' and 'ought to be given...' and argues for its plausibility. A feature of the semantics is that it invalidates 'if a entails b, And o(a), Then o(b)' and 'if o(a) & o(b), Then o(a&b)', While validating detachment for conditional obligation.
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  • Deontic logics for prioritized imperatives.Jörg Hansen - 2006 - Artificial Intelligence and Law 14 (1-2):1-34.
    When a conflict of duties arises, a resolution is often sought by use of an ordering of priority or importance. This paper examines how such a conflict resolution works, compares mechanisms that have been proposed in the literature, and gives preference to one developed by Brewka and Nebel. I distinguish between two cases – that some conflicts may remain unresolved, and that a priority ordering can be determined that resolves all – and provide semantics and axiomatic systems for accordingly defined (...)
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  • David Lewis's semantics for deontic logic.Holly S. Goldman - 1977 - Mind 86 (342):242-248.
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  • Nonmonotonic reasoning, preferential models and cumulative logics.Sarit Kraus, Daniel Lehmann & Menachem Magidor - 1990 - Artificial Intelligence 44 (1-2):167-207.
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  • Introduction to Deontic Logic and the Theory of Normative Systems.Lennart Åqvist - 1987 - Napoli, Italy: Humanities Press.
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  • Conflicting imperatives and dyadic deontic logic.Jörg Hansen - 2005 - Journal of Applied Logic 3 (3-4):484-511.
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  • Problems and results for logics about imperatives.Jörg Hansen - 2004 - Journal of Applied Logic 2 (1):39-61.
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  • A system of temporally relative modal and deontic predicate logic and its philosophical applications.J. Van Eck - 1982 - Logique Et Analyse 25:339.
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  • (1 other version)What does a conditional knowledge base entail?Daniel Lehmann & Menachem Magidor - 1992 - Artificial Intelligence 55 (1):1-60.
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  • (2 other versions)Counterfactuals.David Lewis - 1973 - Philosophy of Science 42 (3):341-344.
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  • Rationality and Value: The Epistemological Role of Indeterminate and Agent-dependent Values.Horacio Arló Costa - 2006 - Philosophical Studies 128 (1):7-48.
    An important trend in contemporary epistemology centers on elaborating an old idea of pragmatist pedigree: theory selection (and in general the process of changing view and fixing beliefs) presupposes epistemic values. This article focuses on analyzing the case where epistemic values are indeterminate or when the sources of valuation are multiple (epistemic values like coherence and simplicity need not order options in compatible ways). According to the theory that thus arises epistemic alternatives need not be fully ordered by an underlying (...)
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  • A Complete Axiom Set For Hansson's Deontic Logic Dsdl2.Xavier Parent - 2010 - Logic Journal of the IGPL 18 (3):422-429.
    The main contribution of this paper is a completeness result for an axiomatization of Hansson [13]'s deontic system DSDL2, whose semantics involves a non-necessarily transitive betterness relation. Reference is made to a deductive system put forth by Åqvist [2, 3].
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  • Topics in Conditional Logic.Gary M. Hardegree - 1982 - Mind 91 (361):136-138.
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  • (1 other version)What does a conditional knowledge base entail?D. Lehmann & M. Magidor - 1994 - Artificial Intelligence 68 (2):411.
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  • Introduction to Deontic Logic and the Theory of Normative Systems.James E. Tomberlin - 1991 - Noûs 25 (1):109-116.
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  • (1 other version)An analysis of some deontic logics.Bengt Hansson - 1969 - Noûs 3 (4):373-398.
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  • Preference semantics for deontic logic. Part I: Simple models.Lou Goble - 2003 - Logique Et Analyse 46:383-418.
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  • The Confinement Problem: How to Terminate Your Mom with Her Trust.Paul McNamara - 1995 - Analysis 55 (4):310 - 313.
    Cliff Landesman provides a vivid description of a case where we have no best outcome available to us. He poses this as a problem for utilitarians who advise us to do the best we can. This does indeed make such advice impractical. I begin by contrasting older versions of utilitarianism with newer ones that have appeared in deontic logic and that were designed precisely to accommodate Landesman's sort of scenario. (I cast matters in terms of the Limit Assumption and world-theoretic (...)
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  • (1 other version)Topics in Conditional Logic.D. Nute - 1980 - Tijdschrift Voor Filosofie 46 (2):375-375.
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