Deontic Logic

Edited by Matteo Pascucci (Slovak Academy of Sciences, Central European University)
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  1. De la ingeniosa disolución que dio el gobernador Sancho Panza a la paradoja del suicida.Luis Felipe Bartolo Alegre - manuscript
    This is the story of how the noble squire Sancho Panza, while governing what he thought to be an insula, ingeniously solved a paradox not unlike those of modern logic.
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  2. Deontic Logic and Natural Language.Fabrizio Cariani - forthcoming - In Dov Gabbay, Ron van der Meyden, John Horty, Xavier Parent & Leandert van der Torre (eds.), The Handbook of Deontic Logic (Vol. II). College Publications.
    There has been a recent surge of work on deontic modality within philosophy of language. This work has put the deontic logic tradition in contact with natural language semantics, resulting in significant increase in sophistication on both ends. This chapter surveys the main motivations, achievements, and prospects of this work.
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  3. Deontic Logic and Ethics.Shyam Nair - forthcoming - In Gabbay, John Horty, Xavier Parent, Ron van der Meyden & Leon van der Torre (eds.), Handbook of Deontic Logic and Normative System, Volume 2. College Publications.
    Though there have been productive interactions between moral philosophers and deontic logicians, there has also been a tradition of neglecting the insights that the fields can offer one another. The most sustained interactions between moral philosophers and deontic logicians have notbeen systematic but instead have been scattered across a number of distinct and often unrelated topics. This chapter primarily focuses on three topics. First, we discuss the “actualism/possibilism” debate which, very roughly, concerns the relevance of what one will do at (...)
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  4. Solving the Ross and Prior Paradoxes. Classical Modal Calculus..Pociej Jan - 2024 - Https://Doi.Org/10.6084/M9.Figshare.25257277.V1.
    Resolving the Ross and Prior paradoxes proved to be a difficult task. Its first two stages, involving the identification of the true natures of the implication and truth values, are described in the articles "Solving the Paradox of Material Implication – 2024" and "Solving Jörgensen's Dilemma – 2024". This article describes the third stage, which involves the discovery of missing modal operators and the Classical Modal Calculus. Finally, procedures for solving both paradoxes are provided.
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  5. Beyond reasons and obligations: A dual-role approach to reasons and supererogation.Knoks Aleks & Streit David - 2023 - In Juliano Maranhão, Clayton Peterson, Christian Straßer & van der Torre Leendert (eds.), Deontic Logic and Normative Systems: 16th International Conference (DEON2023, Trois-Rivières). College Publications. pp. 119-137.
    Dual-role approaches to reasons say, roughly, that reasons can relate to actions in two fundamentally different ways: they can either require conformity, or justify an action without requiring that it be taken. This paper develops a formal dual-role approach, combining ideas from defeasible logic and practical philosophy. It then uses the approach to shed light on the phenomenon of supererogation and resolve a well-known puzzle about supererogation, namely, Horton’s All or Nothing Problem.
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  6. The Validity of the Argument from Inductive Risk.Matthew J. Brown & Jacob Stegenga - 2023 - Canadian Journal of Philosophy 53 (2):187-190.
    Havstad (2022) argues that the argument from inductive risk for the claim that non-epistemic values have a legitimate role to play in the internal stages of science is deductively valid. She also defends its premises and thus soundness. This is, as far as we are aware, the best reconstruction of the argument from inductive risk in the existing literature. However, there is a small flaw in this reconstruction of the argument from inductive risk which appears to render the argument invalid. (...)
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  7. Three Forms of Actualist Direct Consequentialism.Shyam Nair - 2023 - Utilitas 35 (1):1-24.
    One family of maximizing act consequentialist theories are actualist direct theories. Indeed, historically there are at least three different forms of actualist direct consequentialism (due to Bentham, Moore, and contemporary consequentialists). This paper is about the logical differences between these three actualist direct theories and the differences between actualist direct theories and their competitors. Three main points emerge. First, the sharpest separation between actualist direct theories and their competitors concerns the so-called inheritance principle. Second, there are a myriad of other (...)
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  8. Contrastive Consent and Secondary Permissibility.Theron Pummer - 2023 - Philosophy and Phenomenological Research 106 (3):677-691.
    Consider three cases: -/- Turn: A trolley is about to kill five innocent strangers. You can turn the trolley onto me, saving the five and killing me. -/- Hurl: A trolley is about to kill five innocent strangers. You can hurl me at the trolley, saving the five and paralyzing me. -/- TurnHurl: A trolley is about to kill five innocent strangers. You can turn the trolley onto me, saving the five and killing me. You can instead hurl me at (...)
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  9. From Ideal Worlds to Ideality.Craig Warmke - 2023 - Journal of the American Philosophical Association 9 (1):114-134.
    In common treatments of deontic logic, the obligatory is what is true in all deontically ideal possible worlds. In this article, I offer a new semantics for Standard Deontic Logic with Leibnizian intensions rather than possible worlds. Even though the new semantics furnishes models that resemble Venn diagrams, the semantics captures the strong soundness and completeness of Standard Deontic Logic. Since, unlike possible worlds, many Leibnizian intensions are not maximally consistent entities, we can amend the semantics to invalidate the inference (...)
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  10. A Deontic Logic for Programming Rightful Machines: Kant’s Normative Demand for Consistency in the Law.Ava Thomas Wright - 2023 - Logics for Ai and Law: Joint Proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence (Lingai) and the International Workshop on Logic, Ai and Law (Lail).
    In this paper, I set out some basic elements of a deontic logic with an implementation appropriate for handling conflicting legal obligations for purposes of programming autonomous machine agents. Kantian justice demands that the prescriptive system of enforceable public laws be consistent, yet statutes or case holdings may often describe legal obligations that contradict; moreover, even fundamental constitutional rights may come into conflict. I argue that a deontic logic of the law should not try to work around such conflicts but, (...)
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  11. A Two-Dimensional Logic for Two Paradoxes of Deontic Modality.Fusco Melissa & Kocurek Alexander - 2022 - Review of Symbolic Logic 15 (4):991-1022.
    In this paper, we axiomatize the deontic logic in Fusco 2015, which uses a Stalnaker-inspired account of diagonal acceptance and a two-dimensional account of disjunction to treat Ross’s Paradox and the Puzzle of Free Choice Permission. On this account, disjunction-involving validities are a priori rather than necessary. We show how to axiomatize two-dimensional disjunction so that the introduction/elimination rules for boolean disjunction can be viewed as one-dimensional projections of more general two-dimensional rules. These completeness results help make explicit the restrictions (...)
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  12. 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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  13. Deontic Logic, Weakening and Decisions Concerning Disjunctive Obligations.Michael J. Shaffer - 2022 - Logos and Episteme 13 (1):93-102.
    This paper introduces two new paradoxes for standard deontic logic (SDL). They are importantly related to, but distinct from Ross' paradox. These two new paradoxes for SDL are the simple weakening paradox and the complex weakening paradox. Both of these paradoxes arise in virtue of the underlaying logic of SDL and are consequences of the fact that SDL incorporates the principle known as weakening. These two paradoxes then show that SDL has counter-intuitive implications related to disjunctive obligations that arise in (...)
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  14. The Paradox of Epistemic Obligation Avoided.Michael J. Shaffer - 2022 - The Reasoner 16:49-50.
    This short paper offers a skeptical solution to Åqvist's paradox of epistemic obligation. The solution is based on the contention that in SDL/KDT logics the externalist features of knowledge, about which we cannot have obligations, are obscured.
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  15. Inheritance: Professor Procrastinate and the logic of obligation1.Kyle Blumberg & John Hawthorne - 2021 - Philosophy and Phenomenological Research 106 (1):84-106.
    Inheritance is the principle that deontic `ought' is closed under entailment. This paper is about a tension that arises in connection with Inheritance. More specifically, it is about two observations that pull in opposite directions. One of them raises questions about the validity of Inheritance, while the other appears to provide strong support for it. We argue that existing approaches to deontic modals fail to provide us with an adequate resolution of this tension. In response, we develop a positive analysis, (...)
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  16. How Knowledge Triggers Obligation.Davide Grossi, Barteld Kooi, Xingchi Su & Rineke Verbrugge - 2021 - In Sujata Ghosh & Thomas Icard (eds.), Logic, Rationality, and Interaction: 8th International Workshop, Lori 2021, Xi’an, China, October 16–18, 2021, Proceedings. Springer Verlag. pp. 201-215.
    Obligations can be affected by knowledge. Several approaches exist to formalize knowledge-based obligations, but no formalism has been developed yet to capture the dynamic interaction between knowledge and obligations. We introduce the dynamic extension of an existing logic for knowledge-based obligations here. We motivate the logic by analyzing several scenarios and by showing how it can capture in an original manner several fundamental deontic notions such as absolute, prima facie and all-things-considered obligations. Finally, in the dynamic epistemic logic tradition, we (...)
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  17. Normative parties in subject position and in object position.Tereza Novotná & Matteo Pascucci - 2021 - In Martin Blicha & Igor Sedlár (eds.), The Logica Yearbook 2020. College Publications. pp. 147-164.
    We analyze some normative relations as instances of a general schema of relations among a finite number of parties; in this schema parties can play various roles grouped into two main conceptual layers, called 'subject position' and 'object position'. Relying on the theoretical apparatus introduced, we develop a new symbolic representation for normative reasoning which constitutes an alternative to approaches available in the literature. Our contribution includes a semantic characterization for a series of logical systems built over the proposed framework.
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  18. Social Ontology and Social Normativity.Brian Donohue - 2020 - Dissertation, University at Buffalo
    Many recent accounts of the ontology of groups, institutions, and practices have touched upon the normative or deontic dimensions of social reality (e.g., social obligations, claims, permissions, prohibitions, authority, and immunity), as distinct from any specifically moral values or obligations. For the most part, however, the ontology of such socio-deontic phenomena has not received the attention it deserves. In what sense might a social obligation or a claim exist? What is the ontological status of such an obligation (e.g., is it (...)
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  19. Permissibility Is the Only Feasible Deontic Primitive.Johan E. Gustafsson - 2020 - Philosophical Perspectives 34 (1):117-133.
    Moral obligation and permissibility are usually thought to be interdefinable. Following the pattern of the duality definitions of necessity and possibility, we have that something’s being permissible could be defined as its not being obligatory to not do it. And that something’s being obligatory could be defined as its not being permissible to not do it. In this paper, I argue that neither direction of this alleged interdefinability works. Roughly, the problem is that a claim that some act is obligatory (...)
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  20. From Oughts to Goals: A Logic for Enkrasia.Dominik Klein & Alessandra Marra - 2020 - Studia Logica 108 (1):85-128.
    This paper focuses on the Enkratic principle of rationality, according to which rationality requires that if an agent sincerely and with conviction believes she ought to X, then X-ing is a goal in her plan. We analyze the logical structure of Enkrasia and its implications for deontic logic. To do so, we elaborate on the distinction between basic and derived oughts, and provide a multi-modal neighborhood logic with three characteristic operators: a non-normal operator for basic oughts, a non-normal operator for (...)
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  21. Formalizing Reasons, Oughts, and Requirements.Robert Mullins - 2020 - Ergo: An Open Access Journal of Philosophy 7:568-599.
    Reasons-based accounts of our normative conclusions face difficulties in distinguishing between what ought to be done and what is required. This article addresses this problem from a formal perspective. I introduce a rudimentary formalization of a reasons-based account and demonstrate that that the model faces difficulties in accounting for the distinction between oughts and requirements. I briefly critique attempts to distinguish between oughts and requirements by appealing to a difference in strength or weight of reasons. I then present a formalized (...)
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  22. Fault Lines in Ethical Theory.Shyam Nair - 2020 - In Douglas W. Portmore (ed.), The Oxford Handbook of Consequentialism. New York, USA: Oup Usa. pp. 67-92.
    The verdicts standard consequentialism gives about what we are obligated to do crucially depend on what theory of value the consequentialist accepts. This makes it hard to say what separates standard consequentialist theories from non-consequentialist theories. This article discusses how we can draw sharp lines separating standard consequentialist theories from other theories and what assumptions about goodness we must make in order to draw these lines. The discussion touches on cases of deontic constraints, cases of deontic options, and cases involved (...)
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  23. Advances in Modal Logic, Vol. 13.Nicola Olivetti & Rineke Verbrugge (eds.) - 2020 - College Publications.
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  24. Formalizing Kant’s Rules.Richard Evans, Andrew Stephenson & Marek Sergot - 2019 - Journal of Philosophical Logic 48:1-68.
    This paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These (...)
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  25. Deontic Modality in Rationality and Reasoning.Alessandra Marra - 2019 - Dissertation, Tilburg University
    The present dissertation investigates certain facets of the logical structure of oughts – where “ought” is used as a noun, roughly meaning obligation. I do so by following two lines of inquiry. The first part of the thesis places oughts in the context of practical rationality. The second part of the thesis concerns the inference rules governing arguments about oughts, and specifically the inference rule of Reasoning by Cases. These two lines of inquiry, together, aim to expound upon oughts in (...)
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  26. All or Nothing, but If Not All, Next Best or Nothing.Theron Pummer - 2019 - Journal of Philosophy 116 (5):278-291.
    Suppose two children face a deadly threat. You can either do nothing, save one child by sacrificing your arms, or save both by sacrificing your arms. Here are two plausible claims: first, it is permissible to do nothing; second, it is wrong to save only one. Joe Horton argues that the combination of these two claims has the implausible implication that if you are not going to save both children, you ought to save neither. This is one instance of what (...)
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  27. Logic of faith and deed. The idea and an outline of the theoretical conception.Urszula Wybraniec-Skardowska - 2019 - Studia Philosophiae Christianae 55 (2):125-149.
    This paper discusses the theoretical assumptions behind the conception of the logic of faith and deed and outlines its formal-axiomatic frame and its method of construction, which enable us to understand it as a kind of deductive science. The paper is divided into several sections, starting with the logical analysis of the ambiguous terms of ‚faith’ and ‚action’, and focusing in particular on the concepts of religious faith and deed as a type of conscious activity relating to a matter or (...)
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  28. Enriching Deontic Logic.Ilaria Canavotto & Alessandro Giordani - 2018 - Journal of Logic and Computation 1:1-23.
    It is well known that systems of action deontic logic emerging from a standard analysis of permission in terms of possibility of doing an action without incurring in a violation of the law are subject to paradoxes. In general, paradoxes are acknowledged as such if we have intuitions telling us that things should be different. The aim of this paper is to introduce a paradox-free deontic action system by (i) identifying the basic intuitions leading to the emergence of the paradoxes (...)
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  29. The Free Choice Permission as a Default Rule.Daniela Glavaničová - 2018 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 25 (4):495-516.
    It is quite plausible to say that you may read or write implies that you may read and you may write (though possibly not both at once). This so-called free choice principle is well-known in deontic logic. Sadly, despite being so intuitive and seemingly innocent, this principle causes a lot of worries. The paper briefly but critically examines leading accounts of free choice permission present in the literature. Subsequently, the paper suggests to accept the free choice principle, but only as (...)
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  30. The Logic of Reasons.Shyam Nair & John Horty - 2018 - In Daniel Star (ed.), The Oxford Handbook of Reasons and Normativity. New York, NY, United States of America: Oxford University Press. pp. 67-84.
    In this chapter, we begin by sketching in the broadest possible strokes the ideas behind two formal systems that have been introduced with to goal of explicating the ways in which reasons interact to support the actions and conclusions they do. The first of these is the theory of defeasible reasoning developed in the seminal work of Pollock; the second is a more recent theory due to Horty, which adapts and develops the default logic introduced by Reiter to provide an (...)
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  31. A Logic for Reasoning about Group Norms.Daniele Porello - 2018 - In Jan M. Broersen, Gabriella Pigozzi, Cleo Condoravdi & Shyam Nair (eds.), Deontic Logic and Normative Systems - 14th International Conference, {DEON} 2018, Utrecht, The Netherlands, July 3-6, 2018. pp. 301--315.
    We present a number of modal logics to reason about group norms. As a preliminary step, we discuss the ontological status of the group to which the norms are applied, by adapting the classification made by Christian List of collective attitudes into aggregated, common, and corporate attitudes. Accordingly, we shall introduce modality to capture aggregated, common, and corporate group norms. We investigate then the principles for reasoning about those types of modalities. Finally, we discuss the relationship between group norms and (...)
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  32. Defusing the Miners Paradox.Michael J. Shaffer - 2018 - Filosofiska Notiser 5:57-67.
    This paper presents a case for the claim that the infamous miners paradox is not a paradox. This contention is based on some important observations about the nature of ignorance with respect to both disjunctions and conditional obligations and their modal features. The gist of the argument is that given the uncertainty about the location of the miners in the story and the nature of obligations, the apparent obligation to block either mine shaft is cancelled.
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  33. Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability.Frode Bjørdal - 2016 - Logica Universalis 10 (2-3):373-376.
    We show that we in ways related to the classical Square of Opposition may define a Cube of Opposition for some useful statements, and we as a by-product isolate a distinct directive of being inviolable which deserves attention; a second central purpose is to show that we may extend our construction to isolate hypercubes of opposition of any finite cardinality when given enough independent modalities. The cube of opposition for obligations was first introduced publically in a lecture for the Square (...)
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  34. Consequence and Contrast in Deontic Semantics.Fabrizio Cariani - 2016 - Journal of Philosophy 113 (8):396-416.
    Contrastivists view ought-sentences as expressing comparisons among alternatives. Deontic actualists believe that the value of each alternative in such a comparison is determined by what would actually happen if that alternative were to be the case. One of the arguments that motivates actualism is a challenge to the principle of agglomeration over conjunction—the principle according to which if you ought to run and you ought to jump, then you ought to run and jump. I argue that there is no way (...)
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  35. Introduzione alle Logiche Modali.Marcello Frixione, Samuele Iaquinto & Massimiliano Vignolo - 2016 - Roma-Bari: Laterza.
    La logica modale è nata per studiare i ragionamenti su ciò che è possibile e ciò che è necessario. Negli ultimi decenni, a partire dal lavoro di logici e filosofi quali Rudolf Carnap, Saul Kripke e David Lewis, la sua applicazione è stata progressivamente estesa ad altri ambiti, quali il ragionamento sul tempo, sulla conoscenza e sui sistemi di norme. Queste ricerche hanno condotto a un complesso e intrigante dialogo con alcune fondamentali branche della filosofia: la metafisica, l’epistemologia, la filosofia (...)
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  36. Basic Action Deontic Logic.Alessandro Giordani & Ilaria Canavotto - 2016 - In Olivier Roy, Allard Tamminga & Malte Willer (eds.), Deontic Logic and Normative Systems. London, UK: College Publications. pp. 80-92.
    The aim of this paper is to introduce a system of dynamic deontic logic in which the main problems related to the de finition of deontic concepts, especially those emerging from a standard analysis of permission in terms of possibility of doing an action without incurring in a violation of the law, are solved. The basic idea is to introduce two crucial distinctions allowing us to differentiate (i) what is ideal with respect to a given code, which fixes the types (...)
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  37. Conflicting reasons, unconflicting ‘ought’s.Shyam Nair - 2016 - Philosophical Studies 173 (3):629-663.
    One of the popular albeit controversial ideas in the last century of moral philosophy is that what we ought to do is explained by our reasons. And one of the central features of reasons that accounts for their popularity among normative theorists is that they can conflict. But I argue that the fact that reasons conflict actually also poses two closely related problems for this popular idea in moral philosophy. The first problem is a generalization of a problem in deontic (...)
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  38. Deontic logic as a study of conditions of rationality in norm-related activities.Berislav Žarnić - 2016 - In Olivier Roy, Allard Tamminga & Malte Willer (eds.), Deontic Logic and Normative Systems. London, UK: College Publications. pp. 272-287.
    The program put forward in von Wright's last works defines deontic logic as ``a study of conditions which must be satisfied in rational norm-giving activity'' and thus introduces the perspective of logical pragmatics. In this paper a formal explication for von Wright's program is proposed within the framework of set-theoretic approach and extended to a two-sets model which allows for the separate treatment of obligation-norms and permission norms. The three translation functions connecting the language of deontic logic with the language (...)
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  39. Moral dilemmas.Shyam Nair - 2015 - Routledge Encyclopedia of Philosophy.
    A moral dilemma is a situation where an agent’s obligations conflict. Debate in this area focuses on the question of whether genuine moral dilemmas exist. This question involves considering not only the nature and significance of dilemmas, but also the connections between dilemmas, the logic of obligation and moral emotions.
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  40. A Social Pragmatic View on the Concept of Normative Consistency.Berislav Žarnić - 2015 - European Journal of Analytic Philosophy 11 (2):56--78.
    The programmatic statement put forward in von Wright's last works on deontic logic introduces the perspective of logical pragmatics, which has been formally explicated here and extended so to include the role of norm-recipient as well as the role of norm-giver. Using the translation function from the language of deontic logic to the language of set-theoretical approach, the connection has been established between the deontic postulates, on one side, and the perfection properties of the norm-set and the counter-set, on the (...)
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  41. Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
    In this paper I will develop a view about the semantics of imperatives, which I term Modal Noncognitivism, on which imperatives might be said to have truth conditions (dispositionally, anyway), but on which it does not make sense to see them as expressing propositions (hence does not make sense to ascribe to them truth or falsity). This view stands against “Cognitivist” accounts of the semantics of imperatives, on which imperatives are claimed to express propositions, which are then enlisted in explanations (...)
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  42. Deontic Modality Today: Introduction.Stephen Finlay & Mark Schroeder - 2014 - Pacific Philosophical Quarterly 95 (4):421-423.
    Introduction to a special issue of PPQ of papers from a conference on deontic modality held at USC in 2013.
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  43. E. Morscher's Normenlogik. Grundlagen - Systeme - Anwendungen (2012). [REVIEW]Hans-Peter Leeb - 2014 - Grazer Philosophische Studien 90 (1):354-355.
    The review gives a short decription of the content of the book and several improvements and corrections of its content.
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  44. Consequences of Reasoning with Conflicting Obligations.Shyam Nair - 2014 - Mind 123 (491):753-790.
    Since at least the 1960s, deontic logicians and ethicists have worried about whether there can be normative systems that allow conflicting obligations. Surprisingly, however, little direct attention has been paid to questions about how we may reason with conflicting obligations. In this paper, I present a problem for making sense of reasoning with conflicting obligations and argue that no deontic logic can solve this problem. I then develop an account of reasoning based on the popular idea in ethics that reasons (...)
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  45. Chisholm's Paradox and Conditional Oughts.Catharine Saint Croix & Richmond Thomason - 2014 - Lecture Notes in Computer Science 8554:192-207.
    Since it was presented in 1963, Chisholm’s paradox has attracted constant attention in the deontic logic literature, but without the emergence of any definitive solution. We claim this is due to its having no single solution. The paradox actually presents many challenges to the formalization of deontic statements, including (1) context sensitivity of unconditional oughts, (2) formalizing conditional oughts, and (3) distinguishing generic from nongeneric oughts. Using the practical interpretation of ‘ought’ as a guideline, we propose a linguistically motivated logical (...)
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  46. Metanormative Principles and Norm Governed Social Interaction.Berislav Žarnić & Gabriela Bašić - 2014 - Revus 22:105-120.
    Critical examination of Alchourrón and Bulygin’s set-theoretic definition of normative system shows that deductive closure is not an inevitable property. Following von Wright’s conjecture that axioms of standard deontic logic describe perfection-properties of a norm-set, a translation algorithm from the modal to the set-theoretic language is introduced. The translations reveal that the plausibility of metanormative principles rests on different grounds. Using a methodological approach that distinguishes the actor roles in a norm governed interaction, it has been shown that metanormative principles (...)
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  47. Two Adaptive Logics of Norm-Propositions.Mathieu Beirlaen & Christian Straßer - 2013 - Journal of Applied Logic 11 (2):147-168.
    We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to meet (...)
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  48. Deontic Logics based on Boolean Algebra.Pablo F. Castro & Piotr Kulicki - 2013 - In Robert Trypuz (ed.), Krister Segerberg on Logic of Actions. Dordrecht, Netherland: Springer Verlag.
    Deontic logic is devoted to the study of logical properties of normative predicates such as permission, obligation and prohibition. Since it is usual to apply these predicates to actions, many deontic logicians have proposed formalisms where actions and action combinators are present. Some standard action combinators are action conjunction, choice between actions and not doing a given action. These combinators resemble boolean operators, and therefore the theory of boolean algebra offers a well-known athematical framework to study the properties of the (...)
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  49. FIVE STEPS TO RESPONSIBILITY.Lisanyuk Elena - 2013 - Revista da Faculdade de Direito da UFMG 63:125-149.
    Responsibility has entered the academic discourse of logicians hardly more than few decades ago. I suggest a logical concept of responsibility which employs ideas both from a number of theories belonging to different branches of logic as well from other academic areas. As a comment to this concept, I suggest five steps narrative scenario in order to show how the logical dimension of responsibility emerges from diverse tendencies in logic and other sciences. Here are the five steps briefly stated: Step (...)
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  50. Deontic ‘cocktail’ according to E. Mally’s receipt.Lisanyuk Elena - 2013 - Logical Investigations 19:5-27.
    In 1926, Ernst Mally, an Austrian logician, has introduced a system of deontic logic in which he has proposed three fundamental distinctions which proved to be important in the context of the further development of the logic of norms. It is argued that in his philosophical considerations Mally has introduced a number of important distinctions concerning the very concept of norm, but by getting them confused in introducing the subsequent formalisms he failed to formally preserve them. In some of his (...)
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