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Imperatives and Logic

Philosophy of Science 11 (1):30-46 (1944)

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  1. 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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  • 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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  • Agential Free Choice.Melissa Fusco - 2020 - Journal of Philosophical Logic 50 (1):57-87.
    The Free Choice effect—whereby \\) seems to entail both \ and \—has traditionally been characterized as a phenomenon affecting the deontic modal ‘may’. This paper presents an extension of the semantic account of free choice defended by Fusco to the agentive modal ‘can’, the ‘can’ which, intuitively, describes an agent’s powers. On this account, free choice is a nonspecific de re phenomenon that—unlike typical cases—affects disjunction. I begin by sketching a model of inexact ability, which grounds a modal approach to (...)
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  • Truthmaker Semantics for Natural Language: Attitude Verbs, Modals, and Intensional Transitive Verbs.Friederike Moltmann - 2020 - Theoretical Linguistics 3:159-200.
    This paper gives an outline of truthmaker semantics for natural language against the background of standard possible-worlds semantics. It develops a truthmaker semantics for attitude reports and deontic modals based on an ontology of attitudinal and modal objects and on a semantic function of clauses as predicates of such objects. It also présents new motivations for 'object-based truthmaker semantics' from intensional transitive verbs such as ‘need’, ‘look for’, ‘own’, and ‘buy’ and gives an outline of their semantics. This paper is (...)
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  • Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
    Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...)
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  • 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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  • Supercover Semantics for Deontic Action Logic.Karl Nygren - 2019 - Journal of Logic, Language and Information 28 (3):427-458.
    The semantics for a deontic action logic based on Boolean algebra is extended with an interpretation of action expressions in terms of sets of alternative actions, intended as a way to model choice. This results in a non-classical interpretation of action expressions, while sentences not in the scope of deontic operators are kept classical. A deontic structure based on Simons’ supercover semantics is used to interpret permission and obligation. It is argued that these constructions provide ways to handle various problems (...)
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  • Speech Act Theoretic Semantics.Daniel Harris - 2014 - Dissertation, Cuny
    I defend the view that linguistic meaning is a relation borne by an expression to a type of speech act, and that this relation holds in virtue of our overlapping communicative dispositions, and not in virtue of linguistic conventions. I argue that this theory gives the right account of the semantics–pragmatics interface and the best-available semantics for non-declarative clauses, and show that it allows for the construction of a rigorous compositional semantic theory with greater explanatory power than both truth-conditional and (...)
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  • Contrary-to-Duty Scenarios, Deontic Dilemmas, and Transmission Principles.Benjamin Kiesewetter - 2018 - Ethics 129 (1):98-115.
    Actualists hold that contrary-to-duty scenarios give rise to deontic dilemmas and provide counterexamples to the transmission principle, according to which we ought to take the necessary means to actions we ought to perform. In an earlier article, I have argued, contrary to actualism, that the notion of ‘ought’ that figures in conclusions of practical deliberation does not allow for deontic dilemmas and validates the transmission principle. Here I defend these claims, together with my possibilist account of contrary-to-duty scenarios, against Stephen (...)
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  • Deontic Modals.Jennifer Carr - 2016 - 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 Logic of the Liver". A Deontic View of the Intentionality of Desire.Federico Lauria - 2014 - Dissertation, University of Geneva
    Desires matter. How are we to understand the intentionality of desire? According to the two classical views, desire is either a positive evaluation or a disposition to act: to desire a state is to positively evaluate it or to be disposed to act to realize it. This Ph.D. Dissertation examines these conceptions of desire and proposes a deontic alternative inspired by Meinong. On this view, desiring is representing a state of affairs as what ought to be or, if one prefers, (...)
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  • Dynamic Expressivism about Deontic Modality.William B. Starr - 2016 - In Nate Charlow & Matthew Chrisman (eds.), Deontic Modality. New York, NY: Oxford University Press. pp. 355-394.
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  • Imperative Statics and Dynamics.Nate Charlow - manuscript
    Imperatives are linguistic devices used by an authority (speaker) to express wishes, requests, commands, orders, instructions, and suggestions to a subject (addressee). This essay's goal is to tentatively address some of the following questions about the imperative. -/- METASEMANTIC. What is the menu of options for understanding fundamental semantic notions like satisfaction, truth-conditions, validity, and entailment in the context of imperatives? Are there good imperative arguments, and, if so, how are they to be characterized? What are the options for understanding (...)
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  • Instrumental Normativity: In Defense of the Transmission Principle.Benjamin Kiesewetter - 2015 - Ethics 125 (4):921-946.
    If you ought to perform a certain act, and some other action is a necessary means for you to perform that act, then you ought to perform that other action as well – or so it seems plausible to say. This transmission principle is of both practical and theoretical significance. The aim of this paper is to defend this principle against a number of recent objections, which (as I show) are all based on core assumptions of the view called actualism. (...)
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  • Reasons and Rationality.Jonathan Way - 2018 - In Daniel Star (ed.), The Oxford Handbook of Reasons and Normativity. New York, NY, United States of America: Oxford University Press.
    This article gives an overview of some recent debates about the relationship between reasons and rational requirements of coherence - e.g. the requirements to be consistent in our beliefs and intentions, and to intend what we take to be the necessary means to our ends.
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  • 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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  • Imperatives: a Judgemental Analysis.Chris Fox - 2012 - Studia Logica 100 (4):879-905.
    This paper proposes a framework for formalising intuitions about the behaviour of imperative commands. It seeks to capture notions of satisfaction and coherence. Rules are proposed to express key aspects of the general logical behaviour of imperative constructions. A key objective is for the framework to allow patterns of behaviour to be described while avoiding making any commitments about how commands, and their satisfaction criteria, are to be interpreted. We consider the status of some conundrums of imperative logic in the (...)
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  • Proceedings of Sinn und Bedeutung 15, Saarbruecken.Ingo Reich (ed.) - 2010 - Saarbrücken: Universitätsverlag des Saarlandes.
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  • The Paradoxes of Deontic Logic: Alive and Kicking.Jörg Hansen - 2006 - Theoria 72 (3):221-232.
    In a recent paper, Sven Danielsson argued that the ‘original paradoxes' of deontic logic, in particular Ross's paradox and Prior's paradox of derived obligation, can be solved by restricting the modal inheritance rule. I argue that this does not solve the paradoxes.
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  • (1 other version)In Defense of Imperative Inference.Peter B. M. Vranas - 2010 - Journal of Philosophical Logic 39 (1):59 - 71.
    "Surrender; therefore, surrender or fight" is apparently an argument corresponding to an inference from an imperative to an imperative. Several philosophers, however (Williams 1963; Wedeking 1970; Harrison 1991; Hansen 2008), have denied that imperative inferences exist, arguing that (1) no such inferences occur in everyday life, (2) imperatives cannot be premises or conclusions of inferences because it makes no sense to say, for example, "since surrender" or "it follows that surrender or fight", and (3) distinct imperatives have conflicting permissive presuppositions (...)
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  • Ought' and 'must.Andrew J. I. Jones & Ingmar Pörn - 1986 - Synthese 66 (1):89 - 93.
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  • New foundations for imperative logic I: Logical connectives, consistency, and quantifiers.Peter B. M. Vranas - 2008 - Noûs 42 (4):529-572.
    Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, (...)
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  • A new representation theorem for contranegative deontic logic.Sven Ove Hanson - 2004 - Studia Logica 77 (1):1 - 7.
    The logic of an ought operator O is contranegative with respect to an underlying preference relation if it satisfies the property Op & (¬p)(¬q) Oq. Here the condition that is interpolative ((p (pq) q) (q (pq) p)) is shown to be necessary and sufficient for all -contranegative preference relations to satisfy the plausible deontic postulates agglomeration (Op & OqO(p&q)) and disjunctive division (O(p&q) Op Oq).
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  • The problem of closure and questioning attitudes.Richard Teague - 2022 - Synthese 200 (5):1-19.
    The problem of closure for the traditional unstructured possible worlds model of attitudinal content is that it treats belief and other cognitive states as closed under entailment, despite apparent counterexamples showing that this is not a necessary property of such states. One solution to this problem, which has been proposed recently by several authors (Schaffer 2005; Yalcin 2018; Hoek forthcoming), is to restrict closure in an unstructured setting by treating propositional attitudes as question-sensitive. Here I argue that this line of (...)
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  • Legal Indeterminacy and Constitutional Interpretation.José Juan Moreso - 1998 - Dordrecht, Netherland: Springer.
    In this book, I present the results of an investigation which began with an extended stay at Oxford's Balliol College during the first half of 1995. My visit to Oxford was made possible by a grant from the Spanish Ministerio de Educaci6n y Ciencia. My sincere thanks go to Joseph Raz who served as my supervisor in Oxford. For several points of the present study, conversations with Timothy Endicott in Oxford were also of great help. The book is part of (...)
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  • Independent alternatives: Ross’s puzzle and free choice.Richard Jefferson Booth - 2022 - Philosophical Studies 179 (4):1241-1273.
    Orthodox semantics for natural language modals give rise to two puzzles for their interactions with disjunction: Ross’s puzzle and the puzzle of free choice permission. It is widely assumed that each puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from the truth of a possibility or necessity modal with an embedded disjunction, hearers infer that each disjunct is compatible with the relevant set of worlds. I argue that Diversity inferences are too weak to explain the full (...)
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  • A New Hope.Kyle Blumberg & John Hawthorne - 2022 - Journal of Philosophy 119 (1):5-32.
    The analysis of desire ascriptions has been a central topic of research for philosophers of language and mind. This work has mostly focused on providing a theory of want reports, that is, sentences of the form ‘S wants p’. In this paper, we turn from want reports to a closely related but relatively understudied construction, namely hope reports, that is, sentences of the form ‘S hopes p’. We present two contrasts involving hope reports and show that existing approaches to desire (...)
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  • An object‐based truthmaker semantics for modals.Friederike Moltmann - 2018 - Philosophical Issues 28 (1):255-288.
    Possible worlds semantics faces a range of difficulties for at least certain types of modals, especially deontic modals with their distinction between heavy and light permissions and obligations. This paper outlines a new semantics of modals that aims to overcome some of those difficulties. The semantics is based on an a novel ontology of modal objects, entities like obligations, permissions, needs, as well as epistemic states, abilities, and essences. Moreover, it is based on truthmaking, in the sense of Fine’s recent (...)
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  • (1 other version)VI-B ayesian E xpressivism.Seth Yalcin - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):123-160.
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  • (2 other versions)Maximalism vs. Omnism about Permissibility.Douglas W. Portmore - manuscript
    The performance of one option can entail the performance of another. For instance, I have the option of baking a pumpkin pie as well as the option of baking a pie, and the former entails the latter. Now, suppose that both of these options are permissible. This raises the issue of which, if either, is more fundamental than the other. Is baking a pie permissible because it’s permissible to perform some instance of pie-baking, such as pumpkin-pie baking? Or is baking (...)
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  • What You’re Rationally Required to Do and What You Ought to Do.Errol Lord - 2017 - Mind 126 (504):1109-1154.
    It is a truism that we ought to be rational. Despite this, it has become popular to think that it is not the case that we ought to be rational. In this paper I argue for a view about rationality—the view that what one is rationally required to do is determined by the normative reasons one possesses—by showing that it can vindicate that one ought to be rational. I do this by showing that it is independently very plausible that what (...)
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  • Deontic Modality and the Semantics of Choice.Melissa Fusco - 2015 - Philosophers' Imprint 15.
    I propose a unified solution to two puzzles: Ross's puzzle and free choice permission. I begin with a pair of cases from the decision theory literature illustrating the phenomenon of act dependence, where what an agent ought to do depends on what she does. The notion of permissibility distilled from these cases forms the basis for my analysis of 'may' and 'ought'. This framework is then combined with a generalization of the classical semantics for disjunction — equivalent to Boolean disjunction (...)
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  • Reconceiving Direction of Fit.Avery Archer - 2015 - Thought: A Journal of Philosophy 4 (3):171-180.
    I argue that the concept of direction of fit is best seen as picking out a certain inferential property of a psychological attitude. The property in question is one that believing shares with assuming and fantasizing and fails to share with desire. Unfortunately, the standard analysis of DOF obscures this fact because it conflates two very different properties of an attitude: that in virtue of which it displays a certain DOF, and that in virtue of which it displays certain revision (...)
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  • Obligation and Aspect.Benj Hellie - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (4):398-449.
    ‘Fred must open the door’ concerns Fred’s obligations. This obligative meaning is turned off by adding aspect: ‘Fred must have opened/be opening/have been opening the door’ are one and all epistemic. Why? In a nutshell: obligative ’must’ operates on procedural contents of imperative sentences, epistemic ‘must’ on propositional contents of declarative sentences; and adding aspect converts procedural into propositional content.
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  • The meaning of 'ought'.Ralph Wedgwood - 2006 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics: Volume 1. Oxford University Press. pp. 127-160.
    In this paper, I apply the "conceptual role semantics" approach that I have proposed elsewhere (according to which the meaning of normative terms is given by their role in practical reasoning or deliberation) to the meaning of the term 'ought'. I argue that this approach can do three things: It can give an adequate explanation of the special connection that normative judgments have to practical reasoning and motivation for action. It can give an adequate account of why the central principles (...)
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  • Free choice, modals, and imperatives.Maria Aloni - 2007 - Natural Language Semantics 15 (1):65-94.
    The article proposes an analysis of imperatives and possibility and necessity statements that (i) explains their differences with respect to the licensing of free choice any and (ii) accounts for the related phenomena of free choice disjunction in imperatives, permissions, and statements. Any and or are analyzed as operators introducing sets of alternative propositions. Free choice licensing operators are treated as quantifiers over these sets. In this way their interpretation can be sensitive to the alternatives any and or introduce in (...)
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  • A Preference Semantics for Imperatives.William B. Starr - 2020 - Semantics and Pragmatics 20.
    Imperative sentences like Dance! do not seem to represent the world. Recent modal analyses challenge this idea, but its intuitive and historical appeal remain strong. This paper presents three new challenges for a non-representational analysis, showing that the obstacles facing it are even steeper than previously appreciated. I will argue that the only way for the non-representationalist to meet these three challenges is to adopt a dynamic semantics. Such a dynamic semantics is proposed here: imperatives introduce preferences between alternatives. This (...)
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  • Probabilizing the end.Jacob Stegenga - 2013 - Philosophical Studies 165 (1):95-112.
    Reasons transmit. If one has a reason to attain an end, then one has a reason to effect means for that end: reasons are transmitted from end to means. I argue that the likelihood ratio (LR) is a compelling measure of reason transmission from ends to means. The LR measure is superior to other measures, can be used to construct a condition specifying precisely when reasons transmit, and satisfies intuitions regarding end-means reason transmission in a broad array of cases.
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  • The Irreducibility of Personal Obligation.Jacob Ross - 2010 - Journal of Philosophical Logic 39 (3):307 - 323.
    It is argued that claims about personal obligation (of the form "s ought to 0") cannot be reduced to claims about impersonal obligation (of the form "it ought to be the case that p"). The most common attempts at such a reduction are shown to have unacceptable implications in cases involving a plurality of agents. It is then argued that similar problems will face any attempt to reduce personal obligation to impersonal obligation.
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  • Moral dilemmas, disjunctive obligations, and Kant's principle that 'ought' implies 'can'.Dale Jacquette - 1991 - Synthese 88 (1):43 - 55.
    In moral dilemmas, where circumstances prevent two or more equally justified prima facie ethical requirements from being fulfilled, it is often maintained that, since the agent cannot do both, conjoint obligation is overridden by Kant's principle that ought implies can, but that the agent nevertheless has a disjunctive obligation to perform one of the otherwise obligatory actions or the other. Against this commonly received view, it is demonstrated that although Kant's ought-can principle may avoid logical inconsistency, the principle is incompatible (...)
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  • Normative requirements.John Broome - 1999 - Ratio 12 (4):398–419.
    Normative requirements are often overlooked, but they are central features of the normative world. Rationality is often thought to consist in acting for reasons, but following normative requirements is also a major part of rationality. In particular, correct reasoning – both theoretical and practical – is governed by normative requirements rather than by reasons. This article explains the nature of normative requirements, and gives examples of their importance. It also describes mistakes that philosophers have made as a result of confusing (...)
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  • Imperative Inference and Practical Rationality.Daniel W. Harris - 2021 - Philosophical Studies (4):1065-1090.
    Some arguments include imperative clauses. For example: ‘Buy me a drink; you can’t buy me that drink unless you go to the bar; so, go to the bar!’ How should we build a logic that predicts which of these arguments are good? Because imperatives aren’t truth apt and so don’t stand in relations of truth preservation, this technical question gives rise to a foundational one: What would be the subject matter of this logic? I argue that declaratives are used to (...)
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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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  • Arguing about constitutive and regulative norms.Gabriella Pigozzi & Leendert van der Torre - 2018 - Journal of Applied Non-Classical Logics 28 (2-3):189-217.
    Formal arguments are often represented by pairs, but in this paper we consider normative arguments represented by sequences of triples, where constitutive norms derive institutional facts from brute facts, and regulative norms derive deontic facts like obligations and permissions from institutional facts. The institutional facts may be seen as the reasons explaining or warranting the deontic obligations and permissions, and therefore they can be attacked by other normative arguments too. We represent different aspects of normative reasoning by different kinds of (...)
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  • Free choice permission and the counterfactuals of pragmatics.Melissa Fusco - 2014 - Linguistics and Philosophy 37 (4):275-290.
    This paper addresses a little puzzle with a surprisingly long pedigree and a surprisingly large wake: the puzzle of Free Choice Permission. I begin by presenting a popular sketch of a pragmatic solution to the puzzle, due to Kratzer and Shimoyama, which has received a good deal of discussion, endorsement and elaboration in recent work :535–590, 2006; Fox, in: Sauerland and Stateva Presupposition and implicature in compositional semantics, 2007; Geurts, Mind Lang 24:51–79, 2009; von Fintel, Central APA session on Deontic (...)
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  • Reasoning About Permitted Announcements.P. Balbiani & P. Seban - 2011 - Journal of Philosophical Logic 40 (4):445-472.
    We formalize what it means to have permission to say something. We adapt the dynamic logic of permission by van der Meyden (J Log Comput 6(3):465–479, 1996 ) to the case where atomic actions are public truthful announcements. We also add a notion of obligation. Our logic is an extension of the logic of public announcements introduced by Plaza ( 1989 ) with dynamic modal operators for permission and for obligation. We axiomatize the logic and show that it is decidable.
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  • Imperatives, Logic Of.Peter B. M. Vranas - 2013 - In Hugh LaFollette (ed.), The International Encyclopedia of Ethics. Hoboken, NJ: Blackwell. pp. 2575-2585.
    Suppose that a sign at the entrance of a hotel reads: “Don’t enter these premises unless you are accompanied by a registered guest”. You see someone who is about to enter, and you tell her: “Don’t enter these premises if you are an unaccompanied registered guest”. She asks why, and you reply: “It follows from what the sign says”. It seems that you made a valid inference from an imperative premise to an imperative conclusion. But it also seems that imperatives (...)
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  • Relevant deontic logic.Werner Stelzner - 1992 - Journal of Philosophical Logic 21 (2):193 - 216.
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  • New Foundations for Imperative Logic Iii: A General Definition of Argument Validity.Peter B. M. Vranas - 2012 - Manuscript in Preparation.
    Besides pure declarative arguments, whose premises and conclusions are declaratives (“you sinned shamelessly; so you sinned”), and pure imperative arguments, whose premises and conclusions are imperatives (“repent quickly; so repent”), there are mixed-premise arguments, whose premises include both imperatives and declaratives (“if you sinned, repent; you sinned; so repent”), and cross-species arguments, whose premises are declaratives and whose conclusions are imperatives (“you must repent; so repent”) or vice versa (“repent; so you can repent”). I propose a general definition of argument (...)
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  • A Lewisian taxonomy for deontic logic.Vladimír Svoboda - 2018 - Synthese 195 (7):3241-3266.
    Philosophers like G.H. von Wright and D. Makinson have pointed to serious challenges regarding the foundations of deontic logic. In this paper, I suggest that to deal successfully with these challenges a reconsideration of the research program of the discipline is useful. Some problems that have troubled this particular field of logical study for decades may disappear or appear more tractable if we view them from the perspective of a language game introduced by D. Lewis involving three characters: the Master, (...)
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