Deontic Logic

Edited by Matteo Pascucci (Slovak Academy of Sciences, Central European University)
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Summary Deontic logic can be described as the rigorous study of the deductive and semantic behaviour of normative concepts.
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  1. De las pericias con que el gobernador Sancho Panza resolvió 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. A Spurious Paradox.Danny Frederick - manuscript
    Niko Kolodny and John MacFarlane claim that a situation involving some trapped miners involves a deontic paradox the resolution of which requires rejecting the logical law of modus ponens. I show that the appearance of paradox results from confusion and that the miners case supplies no cogent reason for impugning modus ponens.
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  3. David Lewis' Semantics for Deontic Logic.Holly Smith - manuscript
    Mind, Vol. LXXXVI (April, 1977) pp. 242-248.
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  4. An Inconsistency-Adaptive Deontic Logic for Normative Conflicts.Mathieu Beirlaen, Christian Strasser & Joke Meheus - forthcoming - Journal of Philosophical Logic.
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  5. 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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  6. Deontic Logics Based on Boolean Algebra.Pablo F. Castro & Piotr Kulicki - forthcoming - In Robert Trypuz (ed.), Krister Segerberg on Logic of Actions. Springer.
    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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  7. Deontic Concepts and Their Clash in Mīmāṃsā: Towards an Interpretation.Elisa Freschi & Matteo Pascucci - forthcoming - Theoria:1-45.
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  8. A Two-Dimensional Logic for Two Paradoxes of Deontic Modality.Melissa Fusco & Alexander W. Kocurek - forthcoming - Review of Symbolic Logic:1-32.
    In this paper, we axiomatize the deontic logic in Fusco, 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 Fusco’s (...)
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  9. Axiomatizing Norms Across Time and the 'Paradox of the Court'.Daniela Glavanicova & Matteo Pascucci - forthcoming - In DEON 2021. College Publications.
    In normative reasoning one typically refers to intervals of time across which norms are intended to hold, as well as to alternative possibilities representing hypothetical developments of a given scenario. Thus, deontic modalities are naturally intertwined with temporal and metaphysical ones. Furthermore, contemporary debates in philosophy suggest that a proper understanding of fundamental ethical principles, such as the Ought-Implies-Can thesis, requires a simultaneous analysis of these three families of concepts. In the present article we propose a general formal framework which (...)
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  10. The Good, the Bad and the Right. Formal Reductions Among Deontic Concepts.Daniela Glavaničová & Matteo Pascucci - forthcoming - Bulletin of the Section of Logic:1-26.
    The present article provides a taxonomic analysis of bimodal logics of normative ideality and normative awfulness, two notions whose meaning is here explained in terms of the moral values pursued by a given community. Furthermore, the article addresses the problem of defining other relevant normative notions, such as obligation, explicit permission and Hohfeldian relations, in terms of ideality and awfulness. Some proposals formulated in the literature are improved and discussed with reference to the various logics introduced.
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  11. Contextual Factors in Deontic Reasoning.Keith J. Holyoak & Patricia W. Cheng - forthcoming - Thinking and Reasoning.
  12. On Logic of Strictly-Deontic Modalities. A Semantic and Tableau Approach.Tomasz Jarmużek & Mateusz Klonowski - forthcoming - Logic and Logical Philosophy:1.
    Standard deontic logic (SDL) is defined on the basis of possible world semantics and is a logic of alethic-deontic modalities rather than deontic modalities alone. The interpretation of the concepts of obligation and permission comes down exclusively to the logical value that a sentence adopts for the accessible deontic alternatives. Here, we set forth a different approach, this being a logic which additionally takes into consideration whether sentences stand in relation to the normative system or to the system of values (...)
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  13. The Explanatory Problem for Cognitivism About Practical Reason.Errol Lord - forthcoming - In Conor McHugh Jonathan Way & Daniel Whiting (eds.), Normativity: Epistemic and Practical.
    Cognitivists about practical reason hold that we can explain why certain wide-scope requirements of practical rationality are true by appealing to certain epistemic requirements. Extant discussions of cognitivism focus solely on two claims. The first is the claim that intentions involve beliefs. The second is that whenever your intentions are incoherent in certain ways, you will be epistemically irrational. Even if the cognitivist successfully defends these claims, she still needs to show that they entail certain practical requirements. That is, she (...)
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  14. 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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  15. Normative Parties in Subject Position and in Object Position.Tereza Novotná & Matteo Pascucci - forthcoming - In The Logica Yearbook 2020. College Publications.
    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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  16. A Legal Grounding for Deontic Logic.Clayton Peterson - forthcoming - (Soumis).
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  17. Disentangling Deontic Positions and Abilities: A Modal Analysis.Giovanni Sileno & Matteo Pascucci - forthcoming - In Proceedings of CILC 2020.
    Computational systems are traditionally approached from control-oriented perspectives; however, as soon as we move from centralized to decentralized computational infrastructures, direct control needs to be replaced by distributed coordination mechanisms that are on par with institutional constructs observable in human societies (contracts, agreements, enforcement mechanisms, etc.). This paper presents a formalization of Hohfeld's framework building upon a logic whose language includes primitive operators of ability and parametric deontic operators. The proposal is meant to highlight the fundamental interaction between deontic and (...)
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  18. Why Formal Objections to the Error Theory Fail.Bart Streumer & Daniel Wodak - forthcoming - Analysis.
    Many philosophers argue that the error theory should be rejected because it is incompatible with standard deontic logic and semantics. We argue that such formal objections to the theory fail. Our discussion has two upshots. First, it increases the dialectical weight that must be borne by objections to the error theory that target its content rather than its form. Second, it shows that standard deontic logic and semantics should be revised.
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  19. Iterated Modalities and the Parallel Between Deontic and Modal Logic.E. J. Szewak - forthcoming - Logique Et Analyse.
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  20. Expressivity Results for Deontic Logics of Collective Agency.Allard Tamminga, Hein Duijf & Frederik Van De Putte - forthcoming - Synthese:1-21.
    We use a deontic logic of collective agency to study reducibility questions about collective agency and collective obligations. The logic that is at the basis of our study is a multi-modal logic in the tradition of *stit* logics of agency. Our full formal language has constants for collective and individual deontic admissibility, modalities for collective and individual agency, and modalities for collective and individual obligations. We classify its twenty-seven sublanguages in terms of their expressive power. This classification enables us to (...)
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  21. On Deontic Action Logics Based on Boolean Algebra.Robert Trypuz & Piotr Kulicki - forthcoming - Journal of Logic and Computation.
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  22. From Ideal Worlds to Ideality.Craig Warmke - forthcoming - Journal of the American Philosophical Association.
    In common treatments of deontic logic, the obligatory is what's 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 rule (...)
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  23. Disease as a Deontic Construct.Kazem Sadegh-Zadeh - 2nd ed. 2015 - In Handbook of Analytic Philosophy of Medicine. Springer Verlag.
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  24. Medicine Is a Deontic Discipline.Kazem Sadegh-Zadeh - 2nd ed. 2015 - In Handbook of Analytic Philosophy of Medicine. Springer Verlag.
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  25. The Varieties of Ought-Implies-Can and Deontic STIT Logic.Kees van Berkel & Tim Lyon - 2021 - In Fenrong Liu, Alessandra Marra, Paul Portner & Frederik Van De Putte (eds.), Deontic Logic and Normative Systems: 15th International Conference.
    STIT logic is a prominent framework for the analysis of multi-agent choice-making. In the available deontic extensions of STIT, the principle of Ought-implies-Can (OiC) fulfills a central role. However, in the philosophical literature a variety of alternative OiC interpretations have been proposed and discussed. This paper provides a modular framework for deontic STIT that accounts for a multitude of OiC readings. In particular, we discuss, compare, and formalize ten such readings. We provide sound and complete sequent-style calculi for all of (...)
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  26. Truthmakers and Normative Conflicts.Albert Anglberger & Johannes Korbmacher - 2020 - Studia Logica 108 (1):49-83.
    By building on work by Kit Fine, we develop a sound and complete truthmaker semantics for Lou Goble’s conflict tolerant deontic logic BDL.
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  27. Deontology of Compound Actions.Janusz Czelakowski - 2020 - Studia Logica 108 (1):5-47.
    This paper, being a companion to the book [2] elaborates the deontology of sequential and compound actions based on relational models and formal constructs borrowed from formal linguistics. The semantic constructions presented in this paper emulate to some extent the content of [3] but are more involved. Although the present work should be regarded as a sequel of [3] it is self-contained and may be read independently. The issue of permission and obligation of actions is presented in the form of (...)
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  28. 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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  29. A Realistic View on Normative Conflicts.Daniela Glavaničová & Matteo Pascucci - 2020 - Logic and Logical Philosophy 29 (3):447-462.
    Kulicki and Trypuz (2016) introduced three systems of multivalued deontic action logic to handle normative conflicts. The first system suggests a pessimistic view on normative conflicts, according to which any conflicting option represents something forbidden; the second system suggests an optimistic view, according to which any conflicting option represents something obligatory; finally, the third system suggests a neutral view, according to which any conflicting option represents something that is neither obligatory nor forbidden. The aim of the present paper is to (...)
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  30. 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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  31. From Permissions to Obligations and Beyond: An Editorial.P. Kulicki & O. Roy - 2020 - Studia Logica 108 (1):1-3.
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  32. A Bimodal Simulation of Defeasibility in the Normative Domain.Tomer Libal, Matteo Pascucci, Leendert van der Torre & Dov Gabbay - 2020 - In Proceedings of FCR-2020. CEUR Workshop Proceedings. pp. 41-54.
    In the present work we illustrate how two sorts of defeasible reasoning that are fundamental in the normative domain, that is, reasoning about exceptions and reasoning about violations, can be simulated via monotonic propositional theories based on a bimodal language with primitive operators representing knowledge and obligation. The proposed theoretical framework paves the way to using native theorem provers for multimodal logic, such as MleanCoP, in order to automate normative reasoning.
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  33. Understanding Hohfeld and Formalizing Legal Rights: The Hohfeldian Conceptions and Their Conditional Consequences.Réka Markovich - 2020 - Studia Logica 108 (1):129-158.
    Hohfeld’s analysis on the different types of rights and duties is highly influential in analytical legal theory, and it is considered as a fundamental theory in AI&Law and normative multi-agent systems. Yet a century later, the formalization of this theory remains, in various ways, unresolved. In this paper I provide a formal analysis of how the working of a system containing Hohfeldian rights and duties can be delineated. This formalization starts from using the same tools as the classical ones by (...)
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  34. Fault Lines in Ethical Theory.Shyam Nair - 2020 - In Oxford Handbook of Consequentialism. Oxford University Press. 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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  35. The irreducibility of collective obligations.Allard Tamminga & Frank Hindriks - 2020 - Philosophical Studies 177 (4):1085-1109.
    Individualists claim that collective obligations are reducible to the individual obligations of the collective’s members. Collectivists deny this. We set out to discover who is right by way of a deontic logic of collective action that models collective actions, abilities, obligations, and their interrelations. On the basis of our formal analysis, we argue that when assessing the obligations of an individual agent, we need to distinguish individual obligations from member obligations. If a collective has a collective obligation to bring about (...)
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  36. A Decidable Multi-Agent Logic for Reasoning About Actions, Instruments, and Norms.Kees van Berkel, Tim Lyon & Francesco Olivieri - 2020 - In Mehdi Dastani, Huimin Dong & Leon van der Torre (eds.), Logic and Argumentation. pp. 219 - 241.
    We formally introduce a novel, yet ubiquitous, category of norms: norms of instrumentality. Norms of this category describe which actions are obligatory, or prohibited, as instruments for certain purposes. We propose the Logic of Agency and Norms (LAN) that enables reasoning about actions, instrumentality, and normative principles in a multi-agent setting. Leveraging LAN , we formalize norms of instrumentality and compare them to two prevalent norm categories: norms to be and norms to do. Last, we pose principles relating the three (...)
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  37. 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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  38. Duty and Sacrifice: A Logical Analysis of the Mīmāṃsā Theory of Vedic Injunctions.Elisa Freschi, Andrew Ollett & Matteo Pascucci - 2019 - History and Philosophy of Logic 40 (4):323-354.
    The Mīmāṃsā school of Indian philosophy has for its main purpose the interpretation of injunctions that are found in a set of sacred texts, the Vedas. In their works, Mīmāṃsā authors provide some of the most detailed and systematic examinations available anywhere of statements with a deontic force; however, their considerations have generally not been registered outside of Indological scholarship. In the present article we analyze the Mīmāṃsā theory of Vedic injunctions from a logical and philosophical point of view. The (...)
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  39. El lugar de la lógica en el razonamiento jurídico.Miguel Garcia-Godinez - 2019 - In Gerardo Ramirez & Manuel Jimenez (eds.), Ensayos de retórica jurídica. Mexico City, CDMX, Mexico: pp. 171-180.
  40. Formal Analysis of Responsibility Attribution in a Multimodal Framework.Daniela Glavaničová & Matteo Pascucci - 2019 - In Matteo Baldoni, Mehdi Dastani, Beishui Liao, Yuko Sakurai & Rym Zalila Wenkstern (eds.), PRIMA 2019: Principles and Practice of Multi-Agent Systems. Springer. pp. 36-51.
    The present article is devoted to a logical treatment of some fundamental concepts involved in responsibility attribution. We specify a theoretical framework based on a language of temporal deontic logic with agent-relative operators for deliberate causal contribution. The framework is endowed with a procedure to solve normative conflicts which arise from the assessment of different normative sources. We provide a characterization result for a basic system within this framework and illustrate how the concepts formalized can be put at work in (...)
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  41. Automated Reasoning in Normative Detachment Structures with Ideal Conditions.Tomer Libal & Matteo Pascucci - 2019 - In ICAIL 2019: International Conference on Artificial Intelligence and Law. ACM. pp. 63-72.
    In this article we introduce a logical structure for normative reasoning, called Normative Detachment Structure with Ideal Conditions, that can be used to represent the content of certain legal texts in a normalized way. The structure exploits the deductive properties of a system of bimodal logic able to distinguish between ideal and actual normative statements, as well as a novel formalization of conditional normative statements able to capture interesting cases of contrary-to-duty reasoning and to avoid deontic paradoxes. Furthermore, we illustrate (...)
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  42. 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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  43. 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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  44. 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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  45. 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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  46. Conflictos prácticos genuinos y racionalidad práctica. Una solución modal.Pau Luque & Alessandro Torza - 2018 - In Daniel Gonzalez Lagier & Sebastián Figueroa Rubio (eds.), Libertad, razón y normatividad La vigencia del pensamiento de G. H. von Wright a cien años de su nacimiento. Lima: Palestra.
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  47. The Logic of Reasons.Shyam Nair & John Horty - 2018 - In Daniel Star (ed.), Oxford Handbook of Reasons and Normativity. 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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  48. 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. Londra, Regno Unito: 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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  49. 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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  50. Los criterios de la corrección en la teoría del razonamientos jurídico de Neil MacCormick.Miguel Garcia-Godinez - 2017 - Mexico City, CDMX, Mexico: CEC-SCJN.
1 — 50 / 701