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  1. Introduction to: Norms, Logics and Information Systems: New Studies on Deontic Logic and Computer Science.Paul McNamara & Henry Prakken - 1999 - In Henry Prakken & Paul McNamara (eds.), Norms, Logics and Information Systems: New Studies on Deontic Logic and Computer Science. Amsterdam/Oxford/Tokyo/Washington DC: IOS Press. pp. 1-14.
    (See also the separate entry for the volume itself.) This introduction has three parts. The first providing an overview of some main lines of research in deontic logic: the emergence of SDL, Chisholm's paradox and the development of dyadic deontic logics, various other puzzles/challenges and areas of development, along with philosophical applications. The second part focus on some actual and potential fruitful interactions between deontic logic, computer science and artificial intelligence. These include applications of deontic logic to AI knowledge representation (...)
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  • The Robbery Paradox.Mark Vorobej - 1983 - Dialogue 22 (3):433-440.
    James E. Tomberlin [6] has recently argued that the logical systems of conditional obligation proposed by Azizah al-Hibri [1] and Peter Mott [5] are incapable of resolving at least one variant of the notorious contrary to duty imperative paradox, formulated originally by Chisholm [2]. Tomberlin concedes that these systems offer the very best of the' “conditional obligation approach” to deontic logic and concludes his critical discussion with the pessimistic remark that “the best of this approach is simply not good enough. (...)
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  • Conditional Obligation and Detachment.Mark I. Vorobej - 1986 - Canadian Journal of Philosophy 16 (1):11 - 26.
    Suppose that John has a moral obligation to stop smoking given that smoking is dangerous to his health. Suppose further that smoking is dangerous to his health. Does it follow that John has a moral obligation to stop smoking? Although intuition inclines one to answer in the affirmative, recent developments in deontic logic apparently call this inference into question. The issue at hand is whether unconditional obligations are detachable from conditional obligations on the basis of purely factual considerations. I believe (...)
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  • Contrary-to-Duty Paradoxes and Counterfactual Deontic Logic.Daniel Rönnedal - 2019 - Philosophia 47 (4):1247-1282.
    In this paper, I will discuss some examples of the so-called contrary-to-duty paradox, a well-known puzzle in deontic logic. A contrary-to-duty obligation is an obligation telling us what ought to be the case if something forbidden is true, for example: ‘If she is guilty, she should confess’. Contrary-to-duty obligations are important in our moral and legal thinking. Therefore, we want to be able to find an adequate symbolisation of such obligations in some logical system, a task that has turned out (...)
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  • The categorical imperative: Category theory as a foundation for deontic logic.Clayton Peterson - 2014 - Journal of Applied Logic 12 (4):417-461.
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  • Contrary-to-Duty Reasoning: A Categorical Approach.Clayton Peterson - 2015 - Logica Universalis 9 (1):47-92.
    This paper provides an analysis of contrary-to-duty reasoning from the proof-theoretical perspective of category theory. While Chisholm’s paradox hints at the need of dyadic deontic logic by showing that monadic deontic logics are not able to adequately model conditional obligations and contrary-to-duties, other arguments can be objected to dyadic approaches in favor of non-monotonic foundations. We show that all these objections can be answered at one fell swoop by modeling conditional obligations within a deductive system defined as an instance of (...)
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  • Permission.Donald Nute - 1985 - Journal of Philosophical Logic 14 (2):169 - 190.
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  • Rescuing the counterfactual solution to Chisholm's paradox.Ian Niles - 1997 - Philosophia 25 (1-4):351-371.
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  • Hypothetical imperatives and conditional obligations.Ilkka Niiniluoto - 1986 - Synthese 66 (1):111 - 133.
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  • Moral dilemmas, disjunctive obligations, and Kant's principle that 'ought' implies 'can'.Dale Jacquette - 1991 - Synthese 88 (1):43 - 55.
    In moral dilemmas, where circumstances prevent two or more equally justified prima facie ethical requirements from being fulfilled, it is often maintained that, since the agent cannot do both, conjoint obligation is overridden by Kant's principle that ought implies can, but that the agent nevertheless has a disjunctive obligation to perform one of the otherwise obligatory actions or the other. Against this commonly received view, it is demonstrated that although Kant's ought-can principle may avoid logical inconsistency, the principle is incompatible (...)
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  • Normative Requirements and Contrary-to-Duty Obligations.Juan Comesaña - 2015 - Journal of Philosophy 112 (11):600-626.
    I argue that normative requirements should be interpreted as the conditional obligations of dyadic deontic logic. Semantically, normative requirements are conditionals understood as restrictors, the prevailing view of conditionals in linguistics. This means that Modus Ponens is invalid, even when the premises are known.
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  • Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
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  • Deontic Logic.Paul McNamara - 2006 - In Dov Gabbay & John Woods (eds.), The Handbook of the History of Logic, vol. 7: Logic and the Modalities in the Twentieth Century. Elsevier Press. pp. 197-288.
    Overview of fundamental work in deontic logic.
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