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Imperatives and Logic

Theoria 7 (1):53 (1941)

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  1. Knowledge of Objective 'Oughts': Monotonicity and the New Miners Puzzle.Daniel Muñoz & Jack Spencer - 2021 - Philosophy and Phenomenological Research 103 (1):77-91.
    In the classic Miners case, an agent subjectively ought to do what they know is objectively wrong. This case shows that the subjective and objective ‘oughts’ are somewhat independent. But there remains a powerful intuition that the guidance of objective ‘oughts’ is more authoritative—so long as we know what they tell us. We argue that this intuition must be given up in light of a monotonicity principle, which undercuts the rationale for saying that objective ‘oughts’ are an authoritative guide for (...)
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  • 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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  • 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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  • 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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  • Semantics for Non-Declaratives.Kirk Ludwig & Dan Boisvert - 2006 - In Ernest Lepore & Barry C. Smith (eds.), The Oxford Handbook of Philosophy of Language. Oxford University Press.
    This article begins by distinguishing force and mood. Then it lays out desiderata on a successful account. It sketches as background the program of truth-theoretic semantics. Next, it surveys assimilation approaches and argues that they are inadequate. Then it shows how the fulfillment-conditional approach can be applied to imperatives, interrogatives, molecular sentences containing them, and quantification into mood markers. Next, it considers briefly the recent set of propositions approach to the semantics of interrogatives and exclamatives. Finally, it shows how to (...)
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs de Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • Taking Ross's Paradox Seriously A note on the original problems of deontic logic.Sven Danielsson - 2005 - Theoria 71 (1):20-28.
    It is argued that Ross's Paradox in deontic logic is a problem which should be taken seriously, and which can be given a solution which also solves some other wellknown paradoxes and the traditional problems with conditional obligation.
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  • A Pragmatic Logic for Expressivism.Carlo Dalla Pozza, Claudio Garola, Antonio Negro & Davide Sergio - 2020 - Theoria 86 (3):309-340.
    This article aims to show that the incompatibility between the application of logic to norms and values and the expressive conception of these notions – basically summed up by the Frege–Geach problem – can be overcome. To this end, a logic is constructed for the expressive conception of norms and values which provides a solution to the Frege–Geach problem and is not affected by the limitations that occur in some previous attempts. More specifically, a pragmatic language LP is introduced which (...)
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  • The Meaning of Imperatives.Nate Charlow - 2014 - Philosophy Compass 9 (8):540-555.
    This article surveys a range of current views on the semantics of imperatives, presenting them as more or less conservative with respect to the Truth-Conditional Paradigm in semantics. It describes and critiques views at either extreme of this spectrum: accounts on which the meaning of an imperative is a modal truth-condition, as well as various accounts that attempt to explain imperative meaning without making use of truth-conditions. It briefly describes and encourages further work on a family of views lying somewhere (...)
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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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  • ‘Ought’ and Resolution Semantics.Fabrizio Cariani - 2011 - Noûs 47 (3):534-558.
    I motivate and characterize an intensional semantics for ‘ought’ on which it does not behave as a universal quantifier over possibilities. My motivational argument centers on taking at face value some standard challenges to the quantificational semantics, especially to the idea that ‘ought’-sentences satisfy the principle of Inheritance. I argue that standard pragmatic approaches to these puzzles are either not sufficiently detailed or unconvincing.
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  • Rich deontic logic: a preliminary study.Mark A. Brown - 2004 - Journal of Applied Logic 2 (1):19-37.
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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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  • Action negation and alternative reductions for dynamic deontic logics.Jan Broersen - 2004 - Journal of Applied Logic 2 (1):153-168.
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  • The semiotic status of commands.Herbert Gaylord Bohnert - 1945 - Philosophy of Science 12 (4):302-315.
    The large number of writers who have in recent years attacked the problem of the logical nature of commands appear generally in agreement in accepting the distinction of common grammar between imperative and declarative sentences as representing, albeit in no clear one-to-one manner, some real difference in the logical character of the two types of expression, and possibly in the psychological sign-functioning mechanism itself. The crucial logical difference adduced is that commands can apparently rot be classified as true or false. (...)
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  • Two dimensional Standard Deontic Logic [including a detailed analysis of the 1985 Jones–Pörn deontic logic system].Mathijs Boer, Dov M. Gabbay, Xavier Parent & Marija Slavkovic - 2012 - Synthese 187 (2):623-660.
    This paper offers a two dimensional variation of Standard Deontic Logic SDL, which we call 2SDL. Using 2SDL we can show that we can overcome many of the difficulties that SDL has in representing linguistic sets of Contrary-to-Duties (known as paradoxes) including the Chisholm, Ross, Good Samaritan and Forrester paradoxes. We note that many dimensional logics have been around since 1947, and so 2SDL could have been presented already in the 1970s. Better late than never! As a detailed case study (...)
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  • Fatalism and the Logic of Unconditionals.Justin Bledin - 2018 - Noûs 54 (1):126-161.
    In this paper, I consider a variant of the ancient Idle Argument involving so‐called “unconditionals” with interrogative antecedents. This new Idle Argument provides an ideal setting for probing the logic of these close relatives of if‐conditionals, which has been comparatively underexplored. In the course of refuting the argument, I argue that contrary to received wisdom, many unconditionals do not entail their main clauses, yet modus ponens is still unrestrictedly valid for this class of expressions. I make these lessons precise in (...)
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  • Action Type Deontic Logic.Martin Mose Bentzen - 2014 - Journal of Logic, Language and Information 23 (4):397-414.
    A new deontic logic, Action Type Deontic Logic, is presented. To motivate this logic, a number of benchmark cases are shown, representing inferences a deontic logic should validate. Some of the benchmark cases are singled out for further comments and some formal approaches to deontic reasoning are evaluated with respect to the benchmark cases. After that follows an informal introduction to the ideas behind the formal semantics, focussing on the distinction between action types and action tokens. Then the syntax and (...)
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  • Explaining compensatory duties.Matthew S. Bedke - 2010 - Legal Theory 16 (2):91-110.
    In some cases, harming another gives rise to a duty to compensate for harm done. This paper argues that the influential explanations of such duties of compensation—that they are somehow derived from rights intrusions, or breaches of duties not to harm—fail. I offer and defend an alternative explanation for why certain harms and not others give rise to compensatory duties, an explanation that seeks to derive them from wide-scope duties not to harm or to compensate for harm done.
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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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  • 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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  • Logic Without Truth.Carlos E. Alchourron & Antonio A. Martino - 1990 - Ratio Juris 3 (1):46-67.
    Between the two horns of Jørgensen's dilemma, the authors opt for that according to which logic deals not only with truth and falsity but also with those concepts not possessing this semantic reference. Notwithstanding the “descriptive” prejudice, deontic logic has gained validity among modal logics. The technical foundation proposed consists in an abstract characterization of logical consequence. By identifying in the abstract notion of consequence the primitive from which to begin, it is possible to define the connectives - even those (...)
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  • Contrastive Semantics for Deontic Modals.Justin Snedegar - 2013 - In Martijn Blaauw (ed.), Contrastivism in philosophy. New York: Routledge/Taylor & Francis Group.
    This paper argues for contrastivism about the deontic modals, 'ought', 'must', and 'may'. A simple contrastivist semantics that predicts the desired entailment relations among these modals is offered.
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  • Imperative change and obligation to do.Berislav Žarnić - 2003 - In Krister Segerberg & Ryszard Sliwinski (eds.), Logic, Law, Morality: Thirteen Essays in Practical Philosophy in Honour of Lennart Åqvist. Department of Philosophy, Uppsala University. pp. 79-95.
    The ambition of the paper is to provide a solution to the problem posed by Von Wright (1999): how is it possible that the two actions, one of producing P and the other of preventing P can have different deontic status, the former being obligatory and the latter being forbidden. The solution for the problem is sought for by an investigation into connections between imperative and deontic logic. First, it is asked whether a solution could be found in Lemmon's (1965) (...)
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  • Objects and Attitudes.Friederike Moltmann - forthcoming - New York: Oxford University Press.
    This is a prepublication version of my book Objects and Attitudes. The book develops a novel semantics of attitude reports, modal sentences, and quotation based on the view that sentences semantically act as predicates of various attitudinal and modal objects, entities like claims, requests, promises, obligations, and permissions, rather than standing for abstract propositions playing the role of objects. The approach develops truthmaker semantics for attitudinal and modal objects and has a wide range of applications to issues in philosophy of (...)
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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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  • Opting for the Best: Oughts and Options.Douglas W. Portmore - 2019 - New York, NY, USA: Oxford University Press.
    The book concerns what I take to be the least controversial normative principle concerning action: you ought to perform your best option—best, that is, in terms of whatever ultimately matters. The book sets aside the question of what ultimately matters so as to focus on more basic issues, such as: What are our options? Do I have the option of typing out the cure for cancer if that’s what I would in fact do if I had the right intentions at (...)
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  • VI-BayesianExpressivism.Seth Yalcin - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):123-160.
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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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  • 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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  • 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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  • 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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  • A Formalism to Specify Unambiguous Instructions Inspired by Mīmāṁsā in Computational Settings.Bama Srinivasan & Ranjani Parthasarathi - 2022 - Logica Universalis 16 (1):27-55.
    Mīmāṁsā, an Indian hermeneutics provides an exhaustive methodology to interpret Vedic statements. A formalism namely, Mīmāṁsā Inspired Representation of Actions has already been proposed in a preliminary manner. This paper expands the formalism logically and includes Syntax and Semantics covering Soundness and Completeness. Here, several interpretation techniques from Mīmāṁsā have been considered for formalising the statements. Based on these, instructions that denote actions are categorized into positive and prohibitive unconditional imperatives and conditional imperatives that enjoin reason, temporal action and goal. (...)
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  • Contrastivism About Reasons and Ought.Justin Snedegar - 2015 - Philosophy Compass 10 (6):379-388.
    Contrastivism about some concept says that the concept is relativized to sets of alternatives. Relative to some alternatives, the concept may apply, but relative to others, it may not. This article explores contrastivism about the central normative concepts of reasons and ought. Contrastivism about reasons says that a consideration may be a reason for an action A rather than one alternative, B, but may not be a reason for A rather than some other alternative, C. Likewise, contrastivism about ought says (...)
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  • Paradoxos da lógica deôntica: Indícios de um equívoco.Ricardo Tavares da Silva - 2017 - Kriterion: Journal of Philosophy 58 (138):673-690.
    RESUMO De acordo com a teoria das funções de verdade, a verdade/falsidade de uma proposição é computável a partir da verdade/falsidade das suas proposições “internas”: para cada proposição há uma função entre valores de verdade. Aplicada a proposições modais, origina a semântica dos mundos possíveis e, aplicada a proposições normativas, origina uma semântica que reduz os conceitos normativos aos conceitos modais, a semântica modal. Esta redução fica posta em questão com a existência dos chamados ‘paradoxos da lógica deôntica’. Estes não (...)
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  • Blueprint for a dynamic deontic logic.Krister Segerberg - 2009 - Journal of Applied Logic 7 (4):388-402.
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  • Relevant deduction.Gerhard Schurz - 1991 - Erkenntnis 35 (1-3):391 - 437.
    This paper presents an outline of a new theory of relevant deduction which arose from the purpose of solving paradoxes in various fields of analytic philosophy. In distinction to relevance logics, this approach does not replace classical logic by a new one, but distinguishes between relevance and validity. It is argued that irrelevant arguments are, although formally valid, nonsensical and even harmful in practical applications. The basic idea is this: a valid deduction is relevant iff no subformula of the conclusion (...)
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  • Um breve estudo histórico-analítico da Lei de Hume.Frank Thomas Sautter - 2006 - Trans/Form/Ação 29 (2):241-248.
    A Lei de Hume, pela qual um dever ser não pode resultar de um ser, e a sua recíproca, pela qual um ser não pode resultar de um dever ser, ocupam posições proeminentes nas discussões de metaética. Neste trabalho mostrarei relações lógicas entre distintas formulações da Lei de Hume e da sua recíproca. Também mostrarei como essas formulações estão relacionadas a teses sustentadas por importantes pensadores como Poincaré, Nelson, Jörgensen e Hare.
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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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  • Fitting-Attitude Analysis and the Logical Consequence Argument.Toni Rønnow-Rasmussen - 2018 - Philosophical Quarterly 68 (272):560-579.
    A fitting-attitude analysis which understands value in terms of reasons and pro- and con-attitudes allows limited wriggle room if it is to respect a radical division between good and good-for. Essentially, its proponents can either introduce two different normative notions, one relating to good and the other to good-for, or distinguish two kinds of attitude, one corresponding to the analysis of good and the other to good-for. It is argued that whereas the first option faces a counterintuitive scope issue, an (...)
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  • Law and logic: A review from an argumentation perspective.Henry Prakken & Giovanni Sartor - 2015 - Artificial Intelligence 227 (C):214-245.
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  • Maximalism versus Omnism about Permissibility.Douglas Portmore - 2016 - Pacific Philosophical Quarterly 98 (S1):427-452.
    Roughly speaking, maximalism is the view that only certain options are to be assessed in terms of whether they have some right‐making property (such as that of producing optimal consequences), whereas omnism is the view that all options are to be assessed in terms of whether they have this property. I argue that maximalism is preferable to omnism because it provides a more plausible solution to what's known as the problem of act versions and is not subject to any significant (...)
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  • Desiring the truth and nothing but the truth.Christian Piller - 2009 - Noûs 43 (2):193-213.
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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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  • Command and consequence.Josh Parsons - 2013 - Philosophical Studies 164 (1):61-92.
    An argument is usually said to be valid iff it is truth-preserving—iff it cannot be that all its premises are true and its conclusion false. But imperatives (it is normally thought) are not truth-apt. They are not in the business of saying how the world is, and therefore cannot either succeed or fail in doing so. To solve this problem, we need to find a new criterion of validity, and I aim to propose such a criterion.
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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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  • Free Choice in Modal Inquisitive Logic.Karl Nygren - 2023 - Journal of Philosophical Logic 52 (2):347-391.
    This paper investigates inquisitive extensions of normal modal logic with an existential modal operator taken as primitive. The semantics of the existential modality is generalized to apply to questions, as well as statements. When the generalized existential modality is applied to a question, the result is a statement that roughly expresses that each way of resolving the question is consistent with the available information. I study the resulting logic both from a semantic and from a proof-theoretic point of view. I (...)
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  • On relevance and justification of legal decisions.J. J. Moreso - 1996 - Erkenntnis 44 (1):73 - 100.
    The author discusses a question related to a certain aspect of justification of legal decisions, often so-called internal justification-a legal decision is internally justified if and only if it can be deduced from the norm(s) applicable to the case, and from the statement(s) describing the facts of the case. According to this notion, infinite irrelevant logical consequences are justified. To avoid this counterintuitive conclusion, the author analyzes three notions of relevance: Sperber-Wilson's notion, Anderson-Belnap's notion, and Schurz's notion. The author presents (...)
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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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  • The reformulation argument: reining in Gricean pragmatics.Zachary Miller - 2016 - Philosophical Studies 173 (2):525-546.
    A semantic theory aims to make predictions that are accurate and comprehensive. Sometimes, though, a semantic theory falls short of this aim, and there is a mismatch between prediction and data. In such cases, defenders of the semantic theory often attempt to rescue it by appealing to Gricean pragmatics. The hope is that we can rescue the theory as long as we can use pragmatics to explain away its predictive failures. This pragmatic rescue strategy is one of the most popular (...)
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