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  1. Deontic Modals.Jennifer Carr - 2017 - In Tristram Colin McPherson & David Plunkett (eds.), The Routledge Handbook of Metaethics. New York: Routledge. pp. 194-210.
    This chapter provides a selective survey of prominent theories of the semantics of deontic modals in logic and natural language. We focus on Kratzer’s (1977; 1981; 1991) semantics and extensions to this analysis. Kratzer’s semantics has been far and away the most influential theory of deontic modals, which provide a base case for the interpretation of normative language in general. Understanding the logic and truth-conditions of normative language is one of the core areas of metaethics. It informs our understanding of (...)
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  • The Normativity of Rationality.Benjamin Kiesewetter - 2017 - Oxford: Oxford University Press.
    Kiesewetter defends the normativity of rationality by presenting a new solution to the problems that arise from the common assumption that we ought to be rational. He provides a defence of a reason-response conception of rationality, an evidence-relative account of reason, and an explanation of structural irrationality in relation to these accounts.
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  • Changing the modal context.John Cantwell - 2008 - Theoria 74 (4):331-351.
    Conditionals that contain a modality in the consequent give rise to a particular semantic phenomenon whereby the antecedent of the conditional blocks possibilities when interpreting the modality in the consequent. This explains the puzzling logical behaviour of constructions like "If you don't buy a lottery ticket, you can't win", "If you eat that poison, it is unlikely that you will survive the day" and "If you kill Harry, you ought to kill him gently". In this paper it is argued that (...)
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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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  • ‘Ought’: The correct intention account.Heath White - 2009 - Philosophical Explorations 12 (3):297-317.
    “S ought (not) to see to it that p at t” is true iff an intention on the part of S to see to it that p at t is (in) correct. From this truth condition follows an understanding of the conceptual role of ought-claims in practical inference: ought-claims are interchangeable with intentions having the same content. From this conceptual role, it is quite clear why first-person, present-tense ought-judgments, and just those, motivate: failure to be motivated is a failure of (...)
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  • Neighborhood Semantics for Modal Logic.Eric Pacuit - 2017 - Cham, Switzerland: Springer.
    This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic. In addition, the book discusses a broad range of topics, including standard modal logic results ; bisimulations for neighborhood models and other model-theoretic (...)
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  • Adaptive Logics for Defeasible Reasoning.Christian Straßer - 2014 - Springer.
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  • Reasoning About Preference Dynamics.Fenrong Liu - 2011 - Dordrecht, Netherland: Springer Verlag.
    Our preferences determine how we act and think, but exactly what the mechanics are and how they work is a central cause of concern in many disciplines. This book uses techniques from modern logics of information flow and action to develop a unified new theory of what preference is and how it changes. The theory emphasizes reasons for preference, as well as its entanglement with our beliefs. Moreover, the book provides dynamic logical systems which describe the explicit triggers driving preference (...)
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  • Prospective Possibilism.Michael J. Zimmerman - 2017 - The Journal of Ethics 21 (2):117-150.
    There has been considerable debate regarding the relative merits of two theses about moral obligation known as actualism and possibilism. Both theses seek to give expression to the general idea that one ought to do the best one can. According to actualism, one’s obligations turn on what would happen if one chose some course of action, whereas, according to possibilism, they turn on what could happen if one chose some course of action. There are two strands to the debate: the (...)
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  • A Counterexample to Modus Tollens.Seth Yalcin - 2012 - Journal of Philosophical Logic 41 (6):1001-1024.
    This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with 'knows', and we call into question the thesis that all knowledge ascriptions have truth-conditions.
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  • Narrow-Scoping for Wide-Scopers.Alex Worsnip - 2015 - Synthese 192 (8):2617-2646.
    Many philosophers think that requirements of rationality are “wide-scope”. That is to say: they are requirements to satisfy some material conditional, such that one counts as satisfying the requirement iff one either makes the conditional’s antecedent false or makes its consequent true. These contrast with narrow-scope requirements, where the requirement takes scope only over the consequent of the conditional. Many of the philosophers who have preferred wide-scope requirements to narrow-scope requirements have also endorsed a corresponding semantic claim, namely that ordinary (...)
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  • Conditionals, Modals, and Hypothetical Syllogism.Lee Walters - 2014 - Thought: A Journal of Philosophy 3 (1):90-97.
    Moti Mizrahi (2013) presents some novel counterexamples to Hypothetical Syllogism (HS) for indicative conditionals. I show that they are not compelling as they neglect the complicated ways in which conditionals and modals interact. I then briefly outline why HS should nevertheless be rejected.
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  • The logic of actual obligation. An alternative approach to deontic logic.Frans Voorbraak - 1989 - Philosophical Studies 55 (2):173 - 194.
  • A Normative Multiagent Approach To Requirements Engineering.Serena Villata - 2010 - Logic Journal of the IGPL 18 (1):245-274.
    In this paper we present a new model for the requirements analysis of a system. This is a new model based on the multiagent systems paradigm with the aim to support the requirements analysis phase of systems design. This model offers a structured approach to requirements analysis, based on conceptual models defined following a visual modeling language, called dependence networks. The main elements of this visual language are the agents with their goals, capabilities and facts, similarly to the TROPOS methodology (...)
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  • Priority Structures in Deontic Logic.Johan van Benthem, Davide Grossi & Fenrong Liu - 2014 - Theoria 80 (2):116-152.
    This article proposes a systematic application of recent developments in the logic of preference to a number of topics in deontic logic. The key junction is the well‐known Hansson conditional for dyadic obligations. These conditionals are generalized by pairing them with reasoning about syntactic priority structures. The resulting two‐level approach to obligations is tested first against standard scenarios of contrary‐to‐duty obligations, leading also to a generalization for the Kanger‐Anderson reduction of deontic logic. Next, the priority framework is applied to model (...)
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  • Deontic Paradoxes in Mīmāṃsā Logics: There and Back Again.Kees van Berkel, Agata Ciabattoni, Elisa Freschi, Francesca Gulisano & Maya Olszewski - 2023 - Journal of Logic, Language and Information 32 (1):19-62.
    Centered around the analysis of the prescriptive portion of the Vedas, the Sanskrit philosophical school of Mīmāṃsā provides a treasure trove of normative investigations. We focus on the leading Mīmāṃsā authors Prabhākara, Kumārila and Maṇḍana, and discuss three modal logics that formalize their deontic theories. In the first part of this paper, we use logic to analyze, compare and clarify the various solutions to the _śyena_ controversy, a two-thousand-year-old problem arising from seemingly conflicting commands in the Vedas. In the second (...)
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  • Diagnosis and decision making in normative reasoning.Leendert W. N. Van Der Torre & Yao-Hua Tan - 1999 - Artificial Intelligence and Law 7 (1):51-67.
    Diagnosis theory reasons about incomplete knowledge and only considers the past. It distinguishes between violations and non-violations. Qualitative decision theory reasons about decision variables and considers the future. It distinguishes between fulfilled goals and unfulfilled goals. In this paper we formalize normative diagnoses and decisions in the special purpose formalism DIO(DE)2 as well as in extensions of the preference-based deontic logic PDL. The DIagnostic and DEcision-theoretic framework for DEontic reasoning DIO(DE)2 formalizes reasoning about violations and fulfillments, and is used to (...)
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  • Why Impossible Options Are Better: Consequentializing Dilemmas.Brian Talbot - 2021 - Utilitas 33 (2):221-236.
    To consequentialize a deontological moral theory is to give a theory which issues the same moral verdicts, but explains those verdicts in terms of maximizing or satisficing value. There are many motivations for consequentializing: to reconcile plausible ideas behind deontology with plausible ideas behind consequentialism, to help us better understand deontological theories, or to extend deontological theories beyond what intuitions alone tell us. It has proven difficult to consequentialize theories that allow for moral dilemmas or that deny that “ought” implies (...)
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  • A deontic logic framework allowing for factual detachment.Christian Straßer - 2011 - Journal of Applied Logic 9 (1):61-80.
  • An adaptive logic framework for conditional obligations and deontic dilemmas.Christian Straßer - 2010 - Logic and Logical Philosophy 19 (1-2):95-128.
    Lou Goble proposed powerful conditional deontic logics (CDPM) that are able to deal with deontic conflicts by means of restricting the inheritance principle. One of the central problems for dyadic deontic logics is to properly treat the restricted applicability of the principle “strengthening the antecedent”. In most cases it is desirable to derive from an obligation A under condition B, that A is also obliged under condition B and C. However, there are important counterexamples. Goble proposed a weakened rational monotonicity (...)
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  • The Nought Belief Paradox.Nicholas Shackel - 2014 - Erkenntnis 79 (3):523-529.
    A paradox is presented that the poses new problems for both the truth norm and the knowledge norm of belief.
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  • Blueprint for a dynamic deontic logic.Krister Segerberg - 2009 - Journal of Applied Logic 7 (4):388-402.
  • Modus Ponens Under the Restrictor View.Moritz Schulz - 2018 - Journal of Philosophical Logic 47 (6):1001-1028.
    There is a renewed debate about modus ponens. Strikingly, the recent counterexamples in Cantwell, Dreier and MacFarlane and Kolodny are generated by restricted readings of the ‘if’-clause. Moreover, it can be argued on general grounds that the restrictor view of conditionals developed in Kratzer and Lewis leads to counterexamples to modus ponens. This paper provides a careful analysis of modus ponens within the framework of the restrictor view. Despite appearances to the contrary, there is a robust sense in which modus (...)
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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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  • Law and logic: A review from an argumentation perspective.Henry Prakken & Giovanni Sartor - 2015 - Artificial Intelligence 227 (C):214-245.
  • Contrary-to-duty obligations.Henry Prakken & Marek Sergot - 1996 - Studia Logica 57 (1):91 - 115.
    We investigate under what conditions contrary-to-duty (CTD) structures lacking temporal and action elements can be given a coherent reading. We argue, contrary to some recent proposals, that CTD is not an instance of defeasible reasoning, and that methods of nonmonotonic logics are inadequate since they are unable to distinguish between defeasibility and violation of primary obligations. We propose a semantic framework based on the idea that primary and CTD obligations are obligations of different kinds: a CTD obligation pertains to, or (...)
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  • Prescriptive obligation and Forrester's paradox.Jaroslaw Pasek - 1992 - Erkenntnis 37 (1):99-114.
    The paper is devoted to the problem of formal representation of prescriptive obligation, i.e., the obligation concerning the way in which an action is to be performed. Improper representation of prescriptive obligation leads to Forrester's Paradox. In the paper I first present a new version of Forrester's Paradox that generalizes the observation on which the original version is based. Then I challenge the two existing solutions to the paradox. I reject the solution of H.-N. Castañeda and analyze problems to which (...)
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  • Remedial interchange, contrary-to-duty obligation and commutation.Xavier Parent - 2003 - Journal of Applied Non-Classical Logics 13 (3):345-375.
    This paper discusses the relation between deontic logic and the study of conversational interactions. Special attention is given to the notion of remedial interchange as analysed by sociologists and linguistic pragmaticians. This notion is close to the one of contrary-to-duty (reparational) obligation, which deontic logicians have been studying in its own right. The present article also investigates the question of whether some of the aspects of conversational interactions can fruitfully be described by using formal tools originally developed in the study (...)
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  • Sequent Calculi and Interpolation for Non-Normal Modal and Deontic Logics.Eugenio Orlandelli - forthcoming - Logic and Logical Philosophy:1.
    G3-style sequent calculi for the logics in the cube of non-normal modal logics and for their deontic extensions are studied. For each calculus we prove that weakening and contraction are height-preserving admissible, and we give a syntactic proof of the admissibility of cut. This implies that the subformula property holds and that derivability can be decided by a terminating proof search whose complexity is in Pspace. These calculi are shown to be equivalent to the axiomatic ones and, therefore, they are (...)
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  • Supererogation and Conditional Obligation.Daniel Muñoz & Theron Pummer - 2022 - Philosophical Studies 179 (5):1429–1443.
    There are plenty of classic paradoxes about conditional obligations, like the duty to be gentle if one is to murder, and about “supererogatory” deeds beyond the call of duty. But little has been said about the intersection of these topics. We develop the first general account of conditional supererogation, with the power to solve familiar puzzles as well as several that we introduce. Our account, moreover, flows from two familiar ideas: that conditionals restrict quantification and that supererogation emerges from a (...)
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  • Expressiveness and succinctness of a logic of robustness.John C. McCabe-Dansted, Tim French, Sophie Pinchinat & Mark Reynolds - 2015 - Journal of Applied Non-Classical Logics 25 (3):193-228.
    This paper compares the recently proposed Robust Full Computational Tree Logic to model robustness in concurrent systems with other computational tree logic -based logics. RoCTL* extends CTL* with the addition of the operators Obligatory and Robustly, which quantify over failure-free paths and paths with one more failure respectively. This paper focuses on examining the succinctness and expressiveness of RoCTL* by presenting translations to and from RoCTL*. The core result of this paper is to show that RoCTL* is expressively equivalent to (...)
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  • A defence of prudential moralism.Benjamin Lovett - 2005 - Journal of Applied Philosophy 22 (2):161–170.
    abstract Moralism is often charged with being ineffective, rude, hypocritical, and intolerant. This article challenges all of those claims, first using evidence from social science to argue that moralism can be effective in changing others’ behaviour, serving as a remedy against the important problems of moral ignorance and weakness of will. Next, the apparent problems of rudeness, hypocrisy, and intolerance are argued to be either illusory or overstated. Finally, examples of unethical moralism are reviewed and a prudential type of moralism (...)
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  • A Defence of Prudential Moralism.Benjamin Lovett - 2005 - Journal of Applied Philosophy 22 (2):161-170.
    abstract Moralism is often charged with being ineffective, rude, hypocritical, and intolerant. This article challenges all of those claims, first using evidence from social science to argue that moralism can be effective in changing others’ behaviour, serving as a remedy against the important problems of moral ignorance and weakness of will. Next, the apparent problems of rudeness, hypocrisy, and intolerance are argued to be either illusory or overstated. Finally, examples of unethical moralism are reviewed and a prudential type of moralism (...)
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  • Obligation as Optimal Goal Satisfaction.Robert Kowalski & Ken Satoh - 2018 - Journal of Philosophical Logic 47 (4):579-609.
    Formalising deontic concepts, such as obligation, prohibition and permission, is normally carried out in a modal logic with a possible world semantics, in which some worlds are better than others. The main focus in these logics is on inferring logical consequences, for example inferring that the obligation O q is a logical consequence of the obligations O p and O. In this paper we propose a non-modal approach in which obligations are preferred ways of satisfying goals expressed in first-order logic. (...)
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  • Forrester's Paradox.Dale Jacquette - 1986 - Dialogue 25 (4):761-.
    In “Gentle Murder, Or The Adverbial Samaritan”, James William Forrester presents what he describes as “the most powerful version yet put forward” of Lennart Åqvist's Good Samaritan paradox in deontic logic. Forrester suggests that the paradox may make it necessary to reject the standard deontic inference principle. This desperate conclusion, as Forrester acknowledges, would imply that all of standard deontic logic “must be in a bad way”. But Forrester's “paradox” is not nearly so deep or intractable as he maintains.
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  • Logic of Violations: A Gentzen System for Reasoning with Contrary-To-Duty Obligations.Guido Governatori & Antonino Rotolo - 2006 - Australasian Journal of Logic 4:193-215.
    In this paper we present a Gentzen system for reasoning with contrary-to-duty obligations. The intuition behind the system is that a contrary-to-duty is a special kind of normative exception. The logical machinery to formalise this idea is taken from substructural logics and it is based on the definition of a new non-classical connective capturing the notion of reparational obligation. Then the system is tested against well-known contrary-to-duty paradoxes.
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  • Enforcing ethical goals over reinforcement-learning policies.Guido Governatori, Agata Ciabattoni, Ezio Bartocci & Emery A. Neufeld - 2022 - Ethics and Information Technology 24 (4):1-19.
    Recent years have yielded many discussions on how to endow autonomous agents with the ability to make ethical decisions, and the need for explicit ethical reasoning and transparency is a persistent theme in this literature. We present a modular and transparent approach to equip autonomous agents with the ability to comply with ethical prescriptions, while still enacting pre-learned optimal behaviour. Our approach relies on a normative supervisor module, that integrates a theorem prover for defeasible deontic logic within the control loop (...)
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  • Murder most gentle: The paradox deepens.Lou Goble - 1991 - Philosophical Studies 64 (2):217 - 227.
  • Reactive Kripke models and contrary to duty obligations. Part A: Semantics.Dov M. Gabbay - 2013 - Journal of Applied Logic 11 (1):103-136.
  • Do de re necessities express semantic rules?Jamie Dreier - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Amie Thomasson's Norms and Necessity offers a non-factualist theory of the language of metaphysical necessity, centering on the idea that statements of necessity express semantic norms. This article identifies a potential problem for the view by distinguishing two kinds of conditional necessity, investigates a solution derived from a well-known parallel pair of conditional necessities in deontic logic, but finds it is not up to the job. The last part of the paper suggests a different route, largely in keeping with the (...)
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  • Conciliation and Self-incrimination.Jason Decker - 2014 - Erkenntnis 79 (5):1099-1134.
    Conciliationism is a view—well, a family of views—in the epistemology of disagreement. The idea, simply put, is that, in a wide range of cases where you find yourself in disagreement with another reasoner about the truth of some proposition, you are rationally obliged to adjust your credence in the direction of hers. Conciliationism enjoys a fair bit of prima facie plausibility. Most versions of it, however, suffer from a common (and rather obvious) problem: self-incrimination. Although there is some recognition in (...)
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs de Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • Taking Ross's Paradox Seriously A note on the original problems of deontic logic.Sven Danielsson - 2005 - Theoria 71 (1):20-28.
    It is argued that Ross's Paradox in deontic logic is a problem which should be taken seriously, and which can be given a solution which also solves some other wellknown paradoxes and the traditional problems with conditional obligation.
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  • Paradoxes of moral reparation: Deontic foci vs. circumstances.Hector -Neri Castañeda - 1989 - Philosophical Studies 57 (1):1 - 21.
  • Moral obligation, circumstances, and deontic foci (a rejoinder to Fred feldman).Hector -Neri Castañeda - 1989 - Philosophical Studies 57 (2):157 - 174.
  • Making a Start with the stit Logic Analysis of Intentional Action.Jan M. Broersen - 2011 - Journal of Philosophical Logic 40 (4):499-530.
    This paper studies intentional action in stit logic. The formal logic study of intentional action appears to be new, since most logical studies of intention concern intention as a static mental state. In the formalization we distinguish three modes of acting: the objective level concerning the choices an agent objectively exercises, the subjective level concerning the choices an agent knows or believes to be exercising, and finally, the intentional level concerning the choices an agent intentionally exercises. Several axioms constraining the (...)
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  • Against conditional obligation.Daniel Bonevac - 1998 - Noûs 32 (1):37-53.
    The crucial feature of obligation sentences to which the puzzles point is that such sentences, and evaluative sentences more generally, are defeasible. They may be warranted, given some information, only to be defeated by further information. A theory that recognizes this no longer needs to see conditional obligation as anything more than a simple combination of unary obligation and the conditional.
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • Priority Structures in Deontic Logic.Johan Benthem, Davide Grossi & Fenrong Liu - 2013 - Theoria 80 (2):116-152.
    This article proposes a systematic application of recent developments in the logic of preference to a number of topics in deontic logic. The key junction is the well-known Hansson conditional for dyadic obligations. These conditionals are generalized by pairing them with reasoning about syntactic priority structures. The resulting two-level approach to obligations is tested first against standard scenarios of contrary-to-duty obligations, leading also to a generalization for the Kanger-Anderson reduction of deontic logic. Next, the priority framework is applied to model (...)
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  • Action Type Deontic Logic.Martin Mose Bentzen - 2014 - Journal of Logic, Language and Information 23 (4):397-414.
    A new deontic logic, Action Type Deontic Logic, is presented. To motivate this logic, a number of benchmark cases are shown, representing inferences a deontic logic should validate. Some of the benchmark cases are singled out for further comments and some formal approaches to deontic reasoning are evaluated with respect to the benchmark cases. After that follows an informal introduction to the ideas behind the formal semantics, focussing on the distinction between action types and action tokens. Then the syntax and (...)
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