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A logic for epistemic two-dimensional semantics

Synthese 190 (10):1753-1770 (2013)

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  1. Actuality, Necessity, and Logical Truth.William H. Hanson - 2006 - Philosophical Studies 130 (3):437-459.
    The traditional view that all logical truths are metaphysically necessary has come under attack in recent years. The contrary claim is prominent in David Kaplan’s work on demonstratives, and Edward Zalta has argued that logical truths that are not necessary appear in modal languages supplemented only with some device for making reference to the actual world (and thus independently of whether demonstratives like ‘I’, ‘here’, and ‘now’ are present). If this latter claim can be sustained, it strikes close to the (...)
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  • (1 other version)Assertion.Robert Stalnaker - 2013 - In Maite Ezcurdia & Robert J. Stainton (eds.), The Semantics-Pragmatics Boundary in Philosophy. Peterborough, CA: Broadview Press. pp. 179.
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  • The Contingent A Priori: Has It Anything to Do with Indexicals?Timothy Williamson - 1986 - Analysis 46 (3):113 - 117.
    Can some contingent truths be known a priori?: when this question is raised in modern philosophy — as, following Kripke, it often has been — it generally introduces a discussion of certain examples which seem to turn on indexical or indexical-like words . Sometimes the indexicality is quite obvious, as in 'I am here now', sometimes it appears only on analysis, as in 'If anyone uniquely invented the zip, Julius did', where by stipulation 'Julius' rigidly designates the inventor of the (...)
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  • Soames’s argument 1 against strong two-dimensionalism.Robert Michels - 2012 - Philosophical Studies 161 (3):403-420.
    This paper criticizes Soames’s main argument against a variant of two-dimensionalism that he calls strong two-dimensionalism. The idea of Soames’s argument is to show that the strong two-dimensionalist’s semantics for belief ascriptions delivers wrong semantic verdicts about certain complex modal sentences that contain both such ascriptions and claims about the truth of the ascribed beliefs. A closer look at the formal semantics underlying strong two-dimensionalism reveals that there are two feasible ways of specifying the truth conditions for claims of the (...)
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  • The problem of factives for sense theories.Graeme Forbes - 2011 - Analysis 71 (4):654-662.
    This paper discusses some recent responses to Kripke’s modal objections to descriptivism about names. One response, due to Gluer-Pagin and Pagin, involves employing "actually" operators in a new way. Another, developed mainly by Chalmers, involves distinguishing the dimension of meaning modal operators affect from the dimension other operators, especially epistemic ones, affect. I argue that both these moves run into problems with "mixed" contexts involving factive verbs such as "know", "establish", "prove", etc. In mixed contexts there are both modal and (...)
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  • Two-dimensional semantics.Laura Schroeter - 2010 - Stanford Encyclopedia of Philosophy.
    Two-dimensional (2D) semantics is a formal framework that is used to characterize the meaning of certain linguistic expressions and the entailment relations among sentences containing them. 2D semantics has also been applied to thought contents. In contrast with standard possible worlds semantics, 2D semantics assigns extensions and truth-values to expressions relative to two possible world parameters, rather than just one. So a 2D semantic framework provides finer-grained semantic values than those available within standard possible world semantics, while using the same (...)
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  • (1 other version)Assertion.Robert Stalnaker - 1978 - Syntax and Semantics (New York Academic Press) 9:315-332.
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  • (1 other version)Formal Properties of 'Now'.Hans Kamp - 1971 - Theoria 37 (3):227-273.
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  • Universal grammar.Richard Montague - 1970 - Theoria 36 (3):373--398.
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  • Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. New York: Oxford University Press. pp. 481-563.
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  • (1 other version)The foundations of two-dimensional semantics.David J. Chalmers - 2006 - In Manuel Garcia-Carpintero & Josep Macià (eds.), Two-Dimensional Semantics. New York: Oxford: Clarendon Press. pp. 55--140.
    Why is two-dimensional semantics important? One can think of it as the most recent act in a drama involving three of the central concepts of philosophy: meaning, reason, and modality. First, Kant linked reason and modality, by suggesting that what is necessary is knowable a priori, and vice versa. Second, Frege linked reason and meaning, by proposing an aspect of meaning (sense) that is constitutively tied to cognitive signi?cance. Third, Carnap linked meaning and modality, by proposing an aspect of meaning (...)
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  • (1 other version)The Foundations of Two-Dimensional Semantics.David J. Chalmers - 2006 - In Manuel Garcia-Carpintero & Josep Macià (eds.), Two-Dimensional Semantics. New York: Oxford: Clarendon Press. pp. 55-140.
    Why is two-dimensional semantics important? One can think of it as the most recent act in a drama involving three of the central concepts of philosophy: meaning, reason, and modality. First, Kant linked reason and modality, by suggesting that what is necessary is knowable a priori, and vice versa. Second, Frege linked reason and meaning, by proposing an aspect of meaning (sense) that is constitutively tied to cognitive signi?cance. Third, Carnap linked meaning and modality, by proposing an aspect of meaning (...)
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  • (1 other version)Two-dimensional semantics.David J. Chalmers - 2006 - In Ernest LePore & Barry C. Smith (eds.), The Oxford Handbook to the Philosophy of Language. Oxford, England: Oxford University Press.
    Two-dimensional approaches to semantics, broadly understood, recognize two "dimensions" of the meaning or content of linguistic items. On these approaches, expressions and their utterances are associated with two different sorts of semantic values, which play different explanatory roles. Typically, one semantic value is associated with reference and ordinary truth-conditions, while the other is associated with the way that reference and truth-conditions depend on the external world. The second sort of semantic value is often held to play a distinctive role in (...)
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  • (1 other version)The Conscious Mind: In Search of a Fundamental Theory (2nd edition).David J. Chalmers - 1996 - Oxford University Press.
    The book is an extended study of the problem of consciousness. After setting up the problem, I argue that reductive explanation of consciousness is impossible , and that if one takes consciousness seriously, one has to go beyond a strict materialist framework. In the second half of the book, I move toward a positive theory of consciousness with fundamental laws linking the physical and the experiential in a systematic way. Finally, I use the ideas and arguments developed earlier to defend (...)
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  • (4 other versions)Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
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  • (4 other versions)Naming and Necessity.Saul Kripke - 1980 - Critica 17 (49):69-71.
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  • Variations on a Montagovian theme.Wolfgang Schwarz - 2013 - Synthese 190 (16):3377-3395.
    What are the objects of knowledge, belief, probability, apriority or analyticity? For at least some of these properties, it seems plausible that the objects are sentences, or sentence-like entities. However, results from mathematical logic indicate that sentential properties are subject to severe formal limitations. After surveying these results, I argue that they are more problematic than often assumed, that they can be avoided by taking the objects of the relevant property to be coarse-grained (“sets of worlds”) propositions, and that all (...)
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  • Actuality and knowability.David J. Chalmers - 2011 - Analysis 71 (3):411-419.
    It is widely believed that for all p, or at least for all entertainable p, it is knowable a priori that (p iff actually p). It is even more widely believed that for all such p, it is knowable that (p iff actually p). There is a simple argument against these claims from four antecedently plausible premises.
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  • Two notions of necessity.Martin Davies & Lloyd Humberstone - 1980 - Philosophical Studies 38 (1):1-31.
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  • Reference and Description: The Case Against Two-Dimensionalism.Scott Soames - 2005 - Princeton: Princeton University Press. Edited by Frank Jackson & Michael Smith.
    In this book, Scott Soames defends the revolution in philosophy led by Saul Kripke, Hilary Putnam, and David Kaplan against attack from those wishing to revive ..
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  • Epistemic Two-Dimensional Semantics.David J. Chalmers - 2004 - Philosophical Studies 118 (1-2):153-226.
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  • Propositions and Attitude Ascriptions: A Fregean Account.David J. Chalmers - 2011 - Noûs 45 (4):595-639.
    When I say ‘Hesperus is Phosphorus’, I seem to express a proposition. And when I say ‘Joan believes that Hesperus is Phosphorus’, I seem to ascribe to Joan an attitude to the same proposition. But what are propositions? And what is involved in ascribing propositional attitudes?
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  • Meaning: Interpretation and Inference.Johan van Benthem - 1987 - Synthese 73 (3):451-470.
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  • An essay in classical modal logic.Krister Segerberg - 1971 - Uppsala,: Filosofiska föreningen och Filosofiska institutionen vid Uppsala universitet.
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  • Proper Names and Relational Modality.Peter Pagin & Kathrin Gluer - 2006 - Linguistics and Philosophy 29 (5):507 - 535.
    Saul Kripke's thesis that ordinary proper names are rigid designators is supported by widely shared intuitions about the occurrence of names in ordinary modal contexts. By those intuitions names are scopeless with respect to the modal expressions. That is, sentences in a pair like (a) Aristotle might have been fond of dogs, (b) Concerning Aristotle, it is true that he might have been fond of dogs will have the same truth value. The same does not in general hold for definite (...)
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  • Syntactical Treatments of Modality, with Corollaries on Reflexion Principles and Finite Axiomatizability.Richard Montague - 1963 - Journal of Symbolic Logic 40 (4):600-601.
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  • A cut-free sequent system for two-dimensional modal logic, and why it matters.Greg Restall - 2012 - Annals of Pure and Applied Logic 163 (11):1611-1623.
    The two-dimensional modal logic of Davies and Humberstone [3] is an important aid to our understanding the relationship between actuality, necessity and a priori knowability. I show how a cut-free hypersequent calculus for 2D modal logic not only captures the logic precisely, but may be used to address issues in the epistemology and metaphysics of our modal concepts. I will explain how the use of our concepts motivates the inference rules of the sequent calculus, and then show that the completeness (...)
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  • An Essay in Classical Modal Logic.Karl Krister Segerberg - 1971 - Dissertation, Stanford University
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  • (1 other version)To the memory of Arthur Prior Formal properties of ‘now’.Hans Kamp - 1971 - Theoria 37 (3):227-273.
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  • (1 other version)Two Kinds of Possibility.Dorothy Edgington - 2004 - Aristotelian Society Supplementary Volume 78 (1):1-22.
    I defend a version of Kripke's claim that the metaphysically necessary and the knowable a priori are independent. On my version, there are two independent families of modal notions, metaphysical and epistemic, neither stronger than the other. Metaphysical possibility is constrained by the laws of nature. Logical validity, I suggest, is best understood in terms of epistemic necessity.
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  • Reply to Forbes.K. Gluer & P. Pagin - 2012 - Analysis 72 (2):298-303.
    In earlier work (Glüer, K. and P. Pagin. 2006. Proper names and relational modality. Linguistics & Philosophy 29: 507–35; Glüer, K. and P. Pagin. 2008. Relational modality. Journal of Logic, Language and Information 17: 307–22), we developed a semantics for (metaphysical) modal operators that accommodates Kripkean intuitions about proper names in modal contexts even if names are not rigid designators. Graeme Forbes (2011. The problem of factives for sense theories. Analysis 71: 654–62.) criticizes our proposal. He argues that our semantics (...)
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  • Two-dimensional modal logic.Krister Segerberg - 1973 - Journal of Philosophical Logic 2 (1):77 - 96.
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  • Low‐grade two‐dimensionalism. [REVIEW]Josh Dever - 2007 - Philosophical Books 48 (1):1-16.
    As tends to be the way with philosophical positions, there are at least as many two-dimensionalisms as there are two-dimensionalists. But painting with a broad brush, there are core epistemological and metaphysical commitments which underlie the two-dimensionalist project, commitments for which I have no sympathies. A sketch of three signi?cant points of disagreement.
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  • Two-dimensional adventures.Lloyd Humberstone - 2004 - Philosophical Studies 118 (1-2):17--65.
    This paper recalls some applications of two-dimensional modal logic from the 1980s, including work on the logic of Actually and on a somewhat idealized version of the indicative/subjunctive distinction, as well as on absolute and relative necessity. There is some discussion of reactions this material has aroused in commentators since. We also survey related work by Leslie Tharp from roughly the same period.
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  • (1 other version)On the benefits of a reduction of modal predicates to modal operators.Volker Halbach - 2009 - In Alexander Hieke & Hannes Leitgeb (eds.), Reduction, Abstraction, Analysis. Frankfurt: Ontos. pp. 323--333.
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  • (1 other version)Two-dimensional semantics.David J. Chalmers - 2005 - In Ernie Lepore & Barry C. Smith (eds.), The Oxford Handbook of Philosophy of Language. Oxford, England: Oxford University Press.
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  • Meaning: Interpretation and inference.Johan Benthem - 1987 - Synthese 73 (3):451 - 470.
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  • (1 other version)The Inaugural Address: Two Kinds of Possibility.Dorothy Edgington - 2004 - Aristotelian Society Supplementary Volume 78:1-22.
    I defend a version of Kripke's claim that the metaphysically necessary and the knowable a priori are independent. On my version, there are two independent families of modal notions, metaphysical and epistemic, neither stronger than the other. Metaphysical possibility is constrained by the laws of nature. Logical validity, I suggest, is best understood in terms of epistemic necessity.
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  • Review of 'Multi-dimensional modal logic'by Maarten Marx and Yde Venema. [REVIEW]Lloyd Humberstone - 2000 - Studia Logica 65:278-282.
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