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A logic for deontic dilemmas

Journal of Applied Logic 3 (3-4):461-483 (2005)

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  1. 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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  • (1 other version)Deontic Logic.Paul McNamara - 2006 - In Dov Gabbay & John Woods (eds.), The Handbook of the History of Logic, vol. 7: Logic and the Modalities in the Twentieth Century. Elsevier Press. pp. 197-288.
    Overview of fundamental work in deontic logic.
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  • Two Adaptive Logics of Norm-Propositions.Mathieu Beirlaen & Christian Straßer - 2013 - Journal of Applied Logic 11 (2):147-168.
    We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to meet (...)
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  • Consequences of Reasoning with Conflicting Obligations.Shyam Nair - 2014 - Mind 123 (491):753-790.
    Since at least the 1960s, deontic logicians and ethicists have worried about whether there can be normative systems that allow conflicting obligations. Surprisingly, however, little direct attention has been paid to questions about how we may reason with conflicting obligations. In this paper, I present a problem for making sense of reasoning with conflicting obligations and argue that no deontic logic can solve this problem. I then develop an account of reasoning based on the popular idea in ethics that reasons (...)
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  • (1 other version)Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
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  • The Epistemic and the Deontic Preface Paradox.Lina Maria Lissia & Jan Sprenger - forthcoming - Philosophical Quarterly.
    This paper generalizes the preface paradox beyond the conjunctive aggregation of beliefs and constructs an analogous paradox for deontic reasoning. The analysis of the deontic case suggests a systematic restriction of intuitive rules for reasoning with obligations. This proposal can be transferred to the epistemic case: it avoids the preface and the lottery paradox and saves one of the two directions of the Lockean Thesis (i.e., high credence is sufficient, but not necessary for rational belief). The resulting account compares favorably (...)
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  • (1 other version)Epistemic Dilemmas: A Guide.Nick Hughes - forthcoming - In Essays on Epistemic Dilemmas. Oxford University Press.
    This is an opinionated guide to the literature on epistemic dilemmas. It discusses seven kinds of situations where epistemic dilemmas appear to arise; dilemmic, dilemmish, and non-dilemmic takes on them; and objections to dilemmic views along with dilemmist’s replies to them.
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  • Putting Oughts Together.David Boylan - 2023 - Semantics and Pragmatics 16.
    Consistent Agglomeration says that, when φ and ψ are consistent, ⌜ought φ ⌝ and ⌜ought ψ⌝ entail ⌜ought (φ ∧ ψ)⌝; I argue this principle is valid for deontic, but not epistemic oughts. I argue no existing theory predicts these data and give a new semantics and pragmatics for ought: ought is an existential quantifier over the best partial answers to some background question; and presupposes that those best partial answers are pairwise consistent. In conjunction with a plausible assumption about (...)
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  • Pooling Modalities and Pointwise Intersection: Semantics, Expressivity, and Dynamics.Frederik Van De Putte & Dominik Klein - 2022 - Journal of Philosophical Logic 51 (3):485-523.
    We study classical modal logics with pooling modalities, i.e. unary modal operators that allow one to express properties of sets obtained by the pointwise intersection of neighbourhoods. We discuss salient properties of these modalities, situate the logics in the broader area of modal logics, establish key properties concerning their expressive power, discuss dynamic extensions of these logics and provide reduction axioms for the latter.
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  • 19th Brazilian Logic Conference: Book of Abstracts.Cezar A. Mortari & Ricardo Silvestre (eds.) - 2019 - João Pessoa, PB, Brasil: EDUFCG.
    This is the book of abstracts of the 19th Brazilian Logic Conferences. The Brazilian Logic Conferences (EBL) is one of the most traditional logic conferences in South America. Organized by the Brazilian Logic Society (SBL), its main goal is to promote the dissemination of research in logic in a broad sense. It has been occurring since 1979, congregating logicians of different fields — mostly philosophy, mathematics and computer science — and with different backgrounds — from undergraduate students to senior researchers. (...)
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  • Dilemmic Epistemology.Nick Hughes - 2019 - Synthese 196 (10):4059-4090.
    This article argues that there can be epistemic dilemmas: situations in which one faces conflicting epistemic requirements with the result that whatever one does, one is doomed to do wrong from the epistemic point of view. Accepting this view, I argue, may enable us to solve several epistemological puzzles.
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  • 8 Rightful Machines.Ava Thomas Wright - 2022 - In Hyeongjoo Kim & Dieter Schönecker (eds.), Kant and Artificial Intelligence. De Gruyter. pp. 223-238.
    In this paper, I set out a new Kantian approach to resolving conflicts between moral obligations for highly autonomous machine agents. First, I argue that efforts to build explicitly moral autonomous machine agents should focus on what Kant refers to as duties of right, which are duties that everyone could accept, rather than on duties of virtue (or “ethics”), which are subject to dispute in particular cases. “Moral” machines must first be rightful machines, I argue. I then show how this (...)
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  • Conflicting imperatives and dyadic deontic logic.Jörg Hansen - 2005 - Journal of Applied Logic 3 (3-4):484-511.
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  • Variants of multi-relational semantics for propositional non-normal modal logics.Erica Calardo & Antonino Rotolo - 2014 - Journal of Applied Non-Classical Logics 24 (4):293-320.
    A number of significant contributions in the last four decades show that non-normal modal logics can be fruitfully employed in several applied fields. Well-known domains are epistemic logic, deontic logic, and systems capturing different aspects of action and agency such as the modal logic of agency, concurrent propositional dynamic logic, game logic, and coalition logic. Semantics for such logics are traditionally based on neighbourhood models. However, other model-theoretic semantics can be used for this purpose. Here, we systematically study multi-relational structures, (...)
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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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  • Error, Consistency and Triviality.Christine Tiefensee & Gregory Wheeler - 2022 - Noûs 56 (3):602-618.
    In this paper, we present a new semantic challenge to the moral error theory. Its first component calls upon moral error theorists to deliver a deontic semantics that is consistent with the error-theoretic denial of moral truths by returning the truth-value false to all moral deontic sentences. We call this the ‘consistency challenge’ to the moral error theory. Its second component demands that error theorists explain in which way moral deontic assertions can be seen to differ in meaning despite necessarily (...)
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  • Quantification in Some Non-normal Modal Logics.Erica Calardo & Antonino Rotolo - 2017 - Journal of Philosophical Logic 46 (5):541-576.
    This paper offers a semantic study in multi-relational semantics of quantified N-Monotonic modal logics with varying domains with and without the identity symbol. We identify conditions on frames to characterise Barcan and Ghilardi schemata and present some related completeness results. The characterisation of Barcan schemata in multi-relational frames with varying domains shows the independence of BF and CBF from well-known propositional modal schemata, an independence that does not hold with constant domains. This fact was firstly suggested for classical modal systems (...)
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  • On the Transparency of Defeasible Logics: Equivalent Premise Sets, Equivalence of Their Extensions, and Maximality of the Lower Limit.Diderik Batens, Christian Strasser & Peter Verdée - 2009 - Logique Et Analyse 52 (207):281-304.
    For Tarski logics, there are simple criteria that enable one to conclude that two premise sets are equivalent. We shall show that the very same criteria hold for adaptive logics, which is a major advantage in comparison to other approaches to defeasible reasoning forms. A related property of Tarski logics is that the extensions of equivalent premise sets with the same set of formulas are equivalent premise sets. This does not hold for adaptive logics. However a very similar criterion does. (...)
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  • Normative conflicts and the logic of 'ought'.Lou Goble - 2009 - Noûs 43 (3):450-489.
    On the face of it, normative conflicts are commonplace. Yet standard deontic logic declares them to be logically impossible. That prompts the question, What are the proper principles of normative reasoning if such conflicts are possible? This paper examines several alternatives that have been proposed for a logic of 'ought' that can accommodate normative conflicts, and finds all of them unsatisfactory as measured against three criteria of adequacy. It then introduces a new logic that does meet all three criteria, and (...)
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  • Logical dynamics of some speech acts that affect obligations and preferences.Tomoyuki Yamada - 2008 - Synthese 165 (2):295 - 315.
    In this paper, illocutionary acts of commanding will be differentiated from perlocutionary acts that affect preferences of addressees in a new dynamic logic which combines the preference upgrade introduced in DEUL (dynamic epistemic upgrade logic) by van Benthem and Liu with the deontic update introduced in ECL II (eliminative command logic II) by Yamada. The resulting logic will incorporate J. L. Austin’s distinction between illocutionary acts as acts having mere conventional effects and perlocutionary acts as acts having real effects upon (...)
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  • Deontic logics for prioritized imperatives.Jörg Hansen - 2006 - Artificial Intelligence and Law 14 (1-2):1-34.
    When a conflict of duties arises, a resolution is often sought by use of an ordering of priority or importance. This paper examines how such a conflict resolution works, compares mechanisms that have been proposed in the literature, and gives preference to one developed by Brewka and Nebel. I distinguish between two cases – that some conflicts may remain unresolved, and that a priority ordering can be determined that resolves all – and provide semantics and axiomatic systems for accordingly defined (...)
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  • An adaptive logic framework for conditional obligations and deontic dilemmas.Christian Straßer - 2010 - Logic and Logical Philosophy 19 (1-2):95-128.
    Lou Goble proposed powerful conditional deontic logics (CDPM) that are able to deal with deontic conflicts by means of restricting the inheritance principle. One of the central problems for dyadic deontic logics is to properly treat the restricted applicability of the principle “strengthening the antecedent”. In most cases it is desirable to derive from an obligation A under condition B, that A is also obliged under condition B and C. However, there are important counterexamples. Goble proposed a weakened rational monotonicity (...)
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  • Deontic logic for strategic games.Allard Tamminga - 2013 - Erkenntnis 78 (1):183-200.
    We develop a multi-agent deontic action logic to study the logical behaviour of two types of deontic conditionals: (1) conditional obligations, having the form "If group H were to perform action aH, then, in group F's interest, group G ought to perform action aG" and (2) conditional permissions, having the form "If group H were to perform action aH, then, in group F's interest, group G may perform action aG". First, we define a formal language for multi-agent deontic action logic (...)
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  • An Inconsistency-Adaptive Deontic Logic for Normative Conflicts.Mathieu Beirlaen, Christian Straßer & Joke Meheus - 2013 - Journal of Philosophical Logic 42 (2):285-315.
    We present the inconsistency-adaptive deontic logic DP r , a nonmonotonic logic for dealing with conflicts between normative statements. On the one hand, this logic does not lead to explosion in view of normative conflicts such as O A ∧ O ∼A, O A ∧ P ∼A or even O A ∧ ∼O A. On the other hand, DP r still verifies all intuitively reliable inferences valid in Standard Deontic Logic (SDL). DP r interprets a given premise set ‘as normally (...)
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  • Moral conflicts between groups of agents.Barteld Kooi & Allard Tamminga - 2008 - Journal of Philosophical Logic 37 (1):1-21.
    Two groups of agents, G1 and G2, face a *moral conflict* if G1 has a moral obligation and G2 has a moral obligation, such that these obligations cannot both be fulfilled. We study moral conflicts using a multi-agent deontic logic devised to represent reasoning about sentences like "In the interest of group F of agents, group G of agents ought to see to it that phi". We provide a formal language and a consequentialist semantics. An illustration of our semantics with (...)
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