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Imperatives and Logic

Theoria 7 (1):53 (1941)

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  1. 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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  • A Two-Dimensional Logic for Two Paradoxes of Deontic Modality.Melissa Fusco & Alexander W. Kocurek - 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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  • The instructional information processing account of digital computation.Nir Fresco & Marty J. Wolf - 2014 - Synthese 191 (7):1469-1492.
    What is nontrivial digital computation? It is the processing of discrete data through discrete state transitions in accordance with finite instructional information. The motivation for our account is that many previous attempts to answer this question are inadequate, and also that this account accords with the common intuition that digital computation is a type of information processing. We use the notion of reachability in a graph to defend this characterization in memory-based systems and underscore the importance of instructional information for (...)
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  • Compliance and command I—categorical imperatives.Kit Fine - 2018 - Review of Symbolic Logic 11 (4):609-633.
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  • The Content and Logic of Imperatives.Nicolas Fillion & Matthew Lynn - 2021 - Axiomathes 31 (3):419-436.
    This paper articulates an account of imperatives that sensibly supports the idea of a logic of imperative inferences. We rebuke common objections to the very possibility of such a logic, from a perspective based on recent linguistic work on the morphosyntax of imperatives. Specifically, we develop the notion that the content of an imperative sentence includes both a force operator alongside an imperational content to which the force applies. We further argue that this account of the content of imperatives constitutes (...)
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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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  • A hyperintensional logical framework for deontic reasons.Federico L. G. Faroldi & Tudor Protopopescu - 2019 - Logic Journal of the IGPL 27 (4):411-433.
    In this paper we argue that normative reasons are hyperintensional and put forward a formal account of this thesis. That reasons are hyperintensional means that a reason for a proposition does not imply that it is also a reason for a logically equivalent proposition. In the first part we consider three arguments for the hyperintensionality of reasons: an argument from the nature of reasons, an argument from substitutivity and an argument from explanatory power. In the second part we describe a (...)
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  • In Search of Modal Hypodoxes using Paradox Hypodox Duality.Peter Eldridge-Smith - 2022 - Philosophia 50 (5):2457-2476.
    The concept of hypodox is dual to the concept of paradox. Whereas a paradox is incompatibly overdetermined, a hypodox is underdetermined. Indeed, many particular paradoxes have dual hypodoxes. So, naively the dual of Russell’s Paradox is whether the set of all sets that are members of themselves is self-membered. The dual of the Liar Paradox is the Truth-teller, and a hypodoxical dual of the Heterological paradox is whether ‘autological’ is autological. I provide some analysis of the duality and I search (...)
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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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  • The Primacy of the Practical.John Brunero - 2024 - Canadian Journal of Philosophy:1-14.
    According to Action-First theorists, like Jonathan Dancy, reasons for action explain reasons for intentions. According to Intention-First theorists, like Conor McHugh and Jonathan Way, reasons for intentions explain reasons for action. In this paper, I introduce and defend a version of the Action-First theory called “Instrumentalism.” According to Instrumentalism, just as we can derive, using principles of instrumental transmission, reasons to ψ from reasons to ϕ (provided there’s some relevant instrumental relation between ψ-ing and ϕ-ing), we can derive reasons to (...)
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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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  • 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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  • 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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  • 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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  • Dynamic semantics, imperative logic and propositional attitudes.Berislav Žarnić - 2002 - Uppsala Universitet.
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  • Solving Jörgensen's Dilemma - 2024.Jan Pociej - unknown - Https://Doi.Org/10.6084/M9.Figshare.22329178.V3.
    The dilemma mentioned in the title have long been a puzzle to logic. To solve it, it was necessary to make some philosophical decisions. The article provides these decisions and discusses the way to solve the problem.
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  • Proceedings of Sinn und Bedeutung 15, Saarbruecken.Ingo Reich (ed.) - 2010 - Saarbrücken: Universitätsverlag des Saarlandes.
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  • Rationality and Irrationality: Proceeedings of the 23rd International Wittgenstein Symposium, 13-19 August 2000, Kirchberg Am Wechsel.Berit Brogaard & Barry Smith (eds.) - 2001 - Öbv&Hpt.
    This volume consists of the invited papers presented at the 23rd International Wittgenstein Conference held in Kirchberg, Austria in August 2000. Among the topics treated are: truth, psychologism, science, the nature of rational discourse, practical reason, contextualism, vagueness, types of rationality, the rationality of religious belief, and Wittgenstein. Questions addressed include: Is rationality tied to special sorts of contexts? ls rationality tied to language? Is scientific rationality the only kind of rationality? Is there something like a Western rationality? and: Could (...)
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  • Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
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  • Ten philosophical problems in deontic logic.Gabriella Pigozzi, J. Hansen & Leon van der Torre - manuscript
    The paper discusses ten philosophical problems in deontic logic: how to formally represent norms, when a set of norms may be termed ‘coherent’, how to deal with normative conflicts, how contraryto-duty obligations can be appropriately modeled, how dyadic deontic operators may be redefined to relate to sets of norms instead of preference relations between possible worlds, how various concepts of permission can be accommodated, how meaning postulates and counts-as conditionals can be taken into account, and how sets of norms may (...)
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  • 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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  • Norm Performatives and Deontic Logic.Rosja Mastop - 2011 - European Journal of Analytic Philosophy 7 (2):83-105.
    Deontic logic is standardly conceived as the logic of true statements about the existence of obligations and permissions. In his last writings on the subject, G. H. von Wright criticized this view of deontic logic, stressing the rationality of norm imposition as the proper foundation of deontic logic. The present paper is an attempt to advance such an account of deontic logic using the formal apparatus of update semantics and dynamic logic. That is, we first define norm systems and a (...)
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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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  • Norms, Normative Utterances, and Normative Propositions.Risto Hilperin - 2006 - Análisis Filosófico 26 (2):229-241.
    It is argued that the distinction between the normative and the descriptive interpretation of norm sentences can be regarded as a distinction between two kinds of utterances. A norm or a directive has as its content a normative proposition. A normative utterance of a normative proposition in appropriate circumstances makes the proposition true, and an assertive utterance has as its truth-maker the norm system to which it refers. This account of norms, norm-contents, and utterances of norm sentences solves Jørgensen's problem: (...)
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  • Conditionals, Meaning, and Mood.William Starr - 2010 - Dissertation, Rutgers University
    This work explores the hypothesis that natural language is a tool for changing a language user's state of mind and, more specifically, the hypothesis that a sentence's meaning is constituted by its characteristic role in fulfilling this purpose. This view contrasts with the dominant approach to semantics due to Frege, Tarski and others' work on artificial languages: language is first and foremost a tool for representing the world. Adapted to natural language by Davidson, Lewis, Montague, et. al. this dominant approach (...)
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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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