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  1. 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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  • 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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  • (1 other version)Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
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  • (2 other versions)A logic of good, should, and would.Lou Goble - 1990 - Journal of Philosophical Logic 19 (2):253 - 276.
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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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  • Normative Transmission and Necessary Means.Jakob Green Werkmäster - 2019 - Philosophia 47 (2):555-568.
    This paper focuses on the interaction of reasons and argues that reasons for an action may transmit to the necessary means of that action. Analyzing exactly how this phenomenon may be captured by principles governing normative transmission has proved an intricate task in recent years. In this paper, I assess three formulations focusing on normative transmission and necessary means: Ought Necessity, Strong Necessity, and Weak Necessity. My focus is on responding to two of the main objections raised against normative transmission (...)
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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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  • Paradoxes of moral reparation: Deontic foci vs. circumstances.Hector -Neri Castañeda - 1989 - Philosophical Studies 57 (1):1 - 21.
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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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  • 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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  • 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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  • Actualism or possibilism?James E. Tomberlin - 1996 - Philosophical Studies 84 (2-3):263 - 281.
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  • Obligation, conditionals, and the logic of conditional obligation.James E. Tomberlin - 1989 - Philosophical Studies 55 (1):81 - 92.
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  • Moral obligation, circumstances, and deontic foci (a rejoinder to Fred feldman).Hector -Neri Castañeda - 1989 - Philosophical Studies 57 (2):157 - 174.
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  • Two-phase deontic logic.Leendert Van der Torre & Yao-Hua Tan - 2000 - Logique Et Analyse 43 (171–172):411-456.
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