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Hyperintensional logics for everyone

Synthese 198 (2):933-956 (2019)

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  1. The Logic of Hyperlogic. Part A: Foundations.Alexander W. Kocurek - 2024 - Review of Symbolic Logic 17 (1):244-271.
    Hyperlogic is a hyperintensional system designed to regiment metalogical claims (e.g., “Intuitionistic logic is correct” or “The law of excluded middle holds”) into the object language, including within embedded environments such as attitude reports and counterfactuals. This paper is the first of a two-part series exploring the logic of hyperlogic. This part presents a minimal logic of hyperlogic and proves its completeness. It consists of two interdefined axiomatic systems: one for classical consequence (truth preservation under a classical interpretation of the (...)
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  • Formal analysis of responsibility attribution in a multimodal framework.Daniela Glavaničová & Matteo Pascucci - 2019 - In Daniela Glavaničová & Matteo Pascucci (eds.), PRIMA 2019: Principles and Practice of Multi-Agent Systems. Springer. pp. 36-51.
    The present article is devoted to a logical treatment of some fundamental concepts involved in responsibility attribution. We specify a theoretical framework based on a language of temporal deontic logic with agent-relative operators for deliberate causal contribution. The framework is endowed with a procedure to solve normative conflicts which arise from the assessment of different normative sources. We provide a characterization result for a basic system within this framework and illustrate how the concepts formalized can be put at work in (...)
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  • A Hyperintensional Logic of Non-prime Evidence.Pietro Vigiani - forthcoming - Journal of Philosophical Logic:1-28.
    We present a logic of evidence that reduces agents’ epistemic idealisations by combining classical propositional logic with substructural modal logic for formulas in the scope of epistemic modalities. To this aim, we provide a neighborhood semantics of evidence, which provides a modal extension of Fine’s semantics for relevant propositional logic. Possible worlds semantics for classical propositional logic is then obtained by defining the set of possible worlds as a special subset of information states in Fine’s semantics. Finally, we prove that (...)
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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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  • HYPER-REF: A General Model of Reference for First-Order Logic and First-Order Arithmetic.Pablo Rivas-Robledo - 2022 - Kriterion – Journal of Philosophy 36 (2):179-205.
    In this article I present HYPER-REF, a model to determine the referent of any given expression in First-Order Logic. I also explain how this model can be used to determine the referent of a first-order theory such as First-Order Arithmetic. By reference or referent I mean the non-empty set of objects that the syntactical terms of a well-formed formula pick out given a particular interpretation of the language. To do so, I will first draw on previous work to make explicit (...)
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  • Hyperintensional models for non-congruential modal logics.Matteo Pascucci & Igor Sedlár - forthcoming - Logic Journal of the IGPL.
    In this work, we illustrate applications of a semantic framework for non-congruential modal logic based on hyperintensional models. We start by discussing some philosophical ideas behind the approach; in particular, the difference between the set of possible worlds in which a formula is true (its intension) and the semantic content of a formula (its hyperintension), which is captured in a rigorous way in hyperintensional models. Next, we rigorously specify the approach and provide a fundamental completeness theorem. Moreover, we analyse examples (...)
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  • First among equals: co-hyperintensionality for structured propositions.Bjørn Jespersen - 2020 - Synthese 199 (1-2):4483-4497.
    Theories of structured meanings are designed to generate fine-grained meanings, but they are also liable to overgenerate structures, thus drawing structural distinctions without a semantic difference. I recommend the proliferation of very fine-grained structures, so that we are able to draw any semantic distinctions we think we might need. But, in order to contain overgeneration, I argue we should insert some degree of individuation between logical equivalence and structural identity based on structural isomorphism. The idea amounts to forming an equivalence (...)
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  • Alternative semantics for normative reasoning with an application to regret and responsibility.Daniela Glavaničová & Matteo Pascucci - 2021 - Logic and Logical Philosophy 30 (4):653-679.
    We provide a fine-grained analysis of notions of regret and responsibility (such as agent-regret and individual responsibility) in terms of a language of multimodal logic. This language undergoes a detailed semantic analysis via two sorts of models: (i) relating models, which are equipped with a relation of propositional pertinence, and (ii) synonymy models, which are equipped with a relation of propositional synonymy. We specify a class of strictly relating models and show that each synonymy model can be transformed into an (...)
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