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Supervaluationism and Its Logics

Mind 116 (463):633-676 (2007)

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  1. Indeterminate Identities, Supervaluationism, and Quantifiers.Achille C. Varzi - 2020 - Analytic Philosophy 61 (3):218-235.
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  • Chronometric Explanations.Giuliano Torrengo - 2016 - Philosophia 44 (1):275-287.
    In this paper I present a problem for the conventionalist regarding temporal metrics, and I defend an objectivist position on the ground of its explanatory force. Roughly, the conventionalist has it that there is no fact of the matter with respect to the truth or falsity of judgments of the kind “event e1 lasted as long as event e2”, while the objectivist thinks that they are grounded in objective features of space-time. I argue that, by positing grounds for judgments of (...)
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  • Slurs and Semantic Indeterminacy.Giuliano Torrengo - 2020 - Philosophia 48 (4):1617-1627.
    The analysis of the derogatory aspect of slurs has recently aroused interest among philosophers of language. A puzzling element of it is its erratic behaviour in embeddings, for instance negation or belief reports. The derogatory aspect seems sometimes to “scope out” from the embedding to the context of utterance, while at other times it seems to interact with the linguistic constructions in which the slur is implanted. I argue that slurs force us to maintain a kind of semantic indeterminacy which, (...)
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  • Supervaluationism and Necessarily Borderline Sentences.Pablo Cobreros - 2008 - Disputatio 3 (25):41-49.
    The supervaluationist theory of vagueness is committed to a particular notion of logical consequence known as global validity. According to a recent objection, this notion of consequence is more problematic than is usually thought since i) it bears a commitment to some sort of bizarre inferences, ii) this commitment threatens the internal coherence of the theory and iii) we might find counterexamples to classically valid pat- terns of inference even in the absence of a definitely-operator (or similar device). As a (...)
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  • Locating Vagueness.Trenton Merricks - 2017 - Journal of Philosophy 114 (5):221-250.
    The claim that all vagueness must be a feature of language or thought is the current orthodoxy. This is a claim about the “location” of vagueness. “Locating Vagueness” argues that this claim is false, largely by defending the possibility of borderline cases in the absence of language and thought. If the orthodoxy about the location of vagueness is false, then so too is any account of the “nature” of vagueness that implies that orthodoxy. So this paper concludes that various accounts (...)
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  • Plurivaluationism, supersententialism and the problem of the many languages.Rohan Sud - 2020 - Synthese 197 (4):1697-1723.
    According to the plurivaluationist, our vague discourse doesn’t have a single meaning. Instead, it has many meanings, each of which is precise—and it is this plurality of meanings that is the source of vagueness. I believe plurivaluationist positions are underdeveloped and for this reason unpopular. This paper attempts to correct this situation by offering a particular development of plurivaluationism that I call supersententialism. The supersententialist leverages lessons from another area of research—the Problem of the Many—in service of the plurivaluationist position. (...)
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  • The Quietist’s Gambit.Ricardo Mena - 2018 - Crítica. Revista Hispanoamericana de Filosofía 50 (149):3-30.
    In this paper I develop a semantic theory of vagueness that is immune to worries regarding the use of precise mathematical tools. I call this view semantic quietism. This view has the advantage of being clearly compatible with the phenomenon of vagueness. The cost is that it cannot capture every robust semantic fact.
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  • Saying More (or Less) Than One Thing.Andrea Iacona - 2010 - In Richard Dietz & Sebastiano Moruzzi (eds.), Cuts and Clouds. Oxford University Press.
    In a paper called 'Definiteness and Knowability', Tim Williamson addresses the question whether one must accept that vagueness is an epistemic phenomenon if one adopts classical logic and a disquotational principle for truth. Some have suggested that one must not, hence that classical logic and the disquotational principle may be preserved without endorsing epistemicism. Williamson’s paper, however, finds ‘no plausible way of substantiating that possibility’. Its moral is that ‘either classical logic fails, or the disquotational principle does, or vagueness is (...)
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  • Vaghezza e ontologia.Achille C. Varzi - 2008 - In Maurizio Ferraris (ed.), Storia dell’ontologia. Bompiani. pp. 672–698.
    On the opposition between de re and de dicto conceptions of vagueness, with special reference to their bearing on the tasks of ontology.
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  • Sharp Boundaries and Supervaluationism.Jonathan James Salisbury - unknown
    It is claimed to be a crucial advantage of supervaluationism over other theories of vagueness that it avoids any commitment to sharp boundaries. This thesis will challenge that claim and argue that almost all forms of supervaluationism are committed to infinitely sharp boundaries and that some of these boundaries are interesting enough to be problematic. I shall argue that only iterated supervaluationism can avoid any commitment to sharp boundaries, but on the other hand that is the model that Terrance Horgan (...)
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  • Supervaluationism and Good Reasoning.Timothy Williamson - 2018 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (3):521-537.
    This paper is a tribute to Delia Graff Fara. It extends her work on failures of meta-rules for validity as truth-preservation under a supervaluationist identification of truth with supertruth. She showed that such failures occur even in languages without special vagueness-related operators, for standards of deductive reasoning as materially rather than purely logically good, depending on a context-dependent background. This paper extends her argument to: quantifier meta-rules like existential elimination; ambiguity; deliberately vague standard mathematical notation. Supervaluationist attempts to qualify the (...)
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  • Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.
    In this paper we investigate a semantics for first-order logic originally proposed by R. van Rooij to account for the idea that vague predicates are tolerant, that is, for the principle that if x is P, then y should be P whenever y is similar enough to x. The semantics, which makes use of indifference relations to model similarity, rests on the interaction of three notions of truth: the classical notion, and two dual notions simultaneously defined in terms of it, (...)
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  • Lógicas no clásicas de la vaguedad.Paula Teijeiro - 2015 - Revista de Humanidades de Valparaíso 5:7.
    En el presente artículo presentaremos un panorama sencillo de las principales lógicas no clásicas que se han propuesto para lidiar con la paradoja de Sorites, esto es, las lógicas débilmente paracompletas, las débilmente paraconsistentes y las difusas de tipo 1. Notaremos algunas ventajas y problemas de estos sistemas, y finalmente propondremos una cuarta solución -basada en una lógica difusa de tipo 2- que permite superar algunas de las dificultades planteadas.
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  • Supervaluationism, Validity and Necessarily Borderline Sentences.Martin Montminy - 2008 - Analysis 68 (1):61–67.
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  • Vague Existence.Alessandro Torza - 2017 - Oxford Studies in Metaphysics 10.
    Ted Sider has famously argued that existence, in the unrestricted sense of ontology, cannot be vague, as long as vagueness is modeled by means of precisifications. The first section of Chapter 9 exposes some controversial assumptions underlying Sider’s alleged reductio of vague existence. The upshot of the discussion is that, although existence cannot be vague, it can be super-vague, i.e. higher-order vague, for all orders. The second section develops and defends a novel framework, dubbed negative supervaluationary semantics, which makes room (...)
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  • Voting and Vagueness.James Chase - 2016 - Synthese 193 (8):2453–2468.
    How to handle vagueness? One way is to introduce the machinery of acceptable sharpenings, and reinterpret truth as truth-in-all-sharpenings or truth-in-some-sharpenings. A major selling point has been the conservativism of the resulting systems with respect to classical theoremhood and inference. Supervaluationism and subvaluationism possess interesting formal symmetries, a fact that has been used to argue for the subvaluationist approach. However, the philosophical motivation behind each is a different matter. Subvaluationism comes with a standard story that is difficult to sign up (...)
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  • Logical Pluralism, Indeterminacy and the Normativity of Logic.Sebastiano Moruzzi & Filippo Ferrari - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):323-346.
    According to the form of logical pluralism elaborated by Beall and Restall there is more than one relation of logical consequence. Since they take the relation of logical consequence to reside at the very heart of a logical system, different relations of logical consequence yield different logics. In this paper, we are especially interested in understanding what are the consequences of endorsing Beall and Restall’s version of logical pluralism vis-à-vis the normative guidance that logic is taken to provide to reasoners. (...)
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  • What Logical Pluralism Cannot Be.Rosanna Keefe - 2014 - Synthese 191 (7):1375-1390.
    Logical Pluralists maintain that there is more than one genuine/true logical consequence relation. This paper seeks to understand what the position could amount to and some of the challenges faced by its formulation and defence. I consider in detail Beall and Restall’s Logical Pluralism—which seeks to accommodate radically different logics by stressing the way that they each fit a general form, the Generalised Tarski Thesis (GTT)—arguing against the claim that different instances of GTT are admissible precisifications of logical consequence. I (...)
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  • God’s Silence.Elisa Paganini - 2012 - Philosophical Studies 157 (2):287-298.
    Vagueness manifests itself (among other things) in our inability to find boundaries to the extension of vague predicates. A semantic theory of vagueness plans to justify this inability in terms of the vague semantic rules governing language and thought. According to a supporter of semantic theory, the inability to find such a boundary is not dependent on epistemic limits and an omniscient being like God would be equally unable. Williamson (Vagueness, 1994 ) argued that cooperative omniscient beings adequately instructed would (...)
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  • Vagueness & Modality—An Ecumenical Approach.Jon Erling Litland & Juhani Yli-Vakkuri - 2016 - Philosophical Perspectives 30 (1):229-269.
    How does vagueness interact with metaphysical modality and with restrictions of it, such as nomological modality? In particular, how do definiteness, necessity (understood as restricted in some way or not), and actuality interact? This paper proposes a model-theoretic framework for investigating the logic and semantics of that interaction. The framework is put forward in an ecumenical spirit: it is intended to be applicable to all theories of vagueness that express vagueness using a definiteness (or: determinacy) operator. We will show how (...)
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  • Epistemic Modals and Informational Consequence.Moritz Schulz - 2010 - Synthese 174 (3):385 - 395.
    Recently, Yalcin (Epistemic modals. Mind, 116 , 983–1026, 2007) put forward a novel account of epistemic modals. It is based on the observation that sentences of the form ‘ & Might ’ do not embed under ‘suppose’ and ‘if’. Yalcin concludes that such sentences must be contradictory and develops a notion of informational consequence which validates this idea. I will show that informational consequence is inadequate as an account of the logic of epistemic modals: it cannot deal with reasoning from (...)
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  • Paraconsistent Vagueness: A Positive Argument.Pablo Cobreros - 2011 - Synthese 183 (2):211-227.
    Paraconsistent approaches have received little attention in the literature on vagueness (at least compared to other proposals). The reason seems to be that many philosophers have found the idea that a contradiction might be true (or that a sentence and its negation might both be true) hard to swallow. Even advocates of paraconsistency on vagueness do not look very convinced when they consider this fact; since they seem to have spent more time arguing that paraconsistent theories are at least as (...)
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  • Vague Analysis.Dennis Earl - 2010 - Metaphysica 11 (2):223-233.
    It might be thought that vagueness precludes the possibility of classical conceptual analysis and, thus, that the classical or definitional view of the nature of complex concepts is incorrect. The present paper argues that classical analysis can be had for concepts expressed by vague language since (1) all of the general theories of vagueness are compatible with the thesis that all complex concepts have classical analyses and also that (2) the meaning of vague expressions can be analyzed by having the (...)
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  • Subvaluationism and Classical Recapture.Paula Teijeiro - forthcoming - Logic Journal of the IGPL.
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  • Individuating Logics: A Category‐Theoretic Approach.John Wigglesworth - 2019 - Thought: A Journal of Philosophy 8 (3):200-208.
    Thought: A Journal of Philosophy, EarlyView.
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  • Degree Supervaluational Logic.J. Robert G. Williams - 2011 - Review of Symbolic Logic 4 (1):130-149.
    Supervaluationism is often described as the most popular semantic treatment of indeterminacy. There???s little consensus, however, about how to fill out the bare-bones idea to include a characterization of logical consequence. The paper explores one methodology for choosing between the logics: pick a logic that norms belief as classical consequence is standardly thought to do. The main focus of the paper considers a variant of standard supervaluational, on which we can characterize degrees of determinacy. It applies the methodology above to (...)
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  • Logical Pluralism, Indeterminacy and the Normativity of Logic.Filippo Ferrari & Sebastiano Moruzzi - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy:1-24.
    According to the form of logical pluralism elaborated by Beall and Restall there is more than one relation of logical consequence. Since they take the relation of logical consequence to res...
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  • Gradational Accuracy and Nonclassical Semantics.J. Robert G. Williams - 2012 - Review of Symbolic Logic 5 (4):513-537.
    Joyce (1998) gives an argument for probabilism: the doctrine that rational credences should conform to the axioms of probability. In doing so, he provides a distinctive take on how the normative force of probabilism relates to the injunction to believe what is true. But Joyce presupposes that the truth values of the propositions over which credences are defined are classical. I generalize the core of Joyce’s argument to remove this presupposition. On the same assumptions as Joyce uses, the credences of (...)
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  • Supervaluations Debugged.Nicholas Asher, Josh Dever & Chris Pappas - 2009 - Mind 118 (472):901-933.
    Supervaluational accounts of vagueness have come under assault from Timothy Williamson for failing to provide either a sufficiently classical logic or a disquotational notion of truth, and from Crispin Wright and others for incorporating a notion of higher-order vagueness, via the determinacy operator, which leads to contradiction when combined with intuitively appealing ‘gap principles’. We argue that these criticisms of supervaluation theory depend on giving supertruth an unnecessarily central role in that theory as the sole notion of truth, rather than (...)
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  • The Logic of Δ.Ryan Christensen - 2013 - Thought: A Journal of Philosophy 2 (4):350-356.
    I argue that the ‘aoristic’ operators, which are intended to describe the logic of vagueness, do not form a standard modal logic. I redefine the operators so that they do form a standard modal logic, provide a semantics of that logic, and argue that the logic is not as strong as standardly claimed.
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  • Supervaluationism: Truth, Value and Degree Functionality.Pablo Cobreros & Luca Tranchini - 2014 - Thought: A Journal of Philosophy 3 (2):136-144.
    This article deals with supervaluationism and the failure of truth-functionality. It draws some distinctions that may contribute to a better understanding of this semantic framework.
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  • A New Semantics for Vagueness.Joshua D. K. Brown & James W. Garson - 2017 - Erkenntnis 82 (1):65-85.
    Intuitively, vagueness involves some sort of indeterminacy: if Plato is a borderline case of baldness, then there is no fact of the matter about whether or not he’s bald—he’s neither bald nor not bald. The leading formal treatments of such indeterminacy—three valued logic, supervaluationism, etc.—either fail to validate the classical theorems, or require that various classically valid inference rules be restricted. Here we show how a fully classical, yet indeterminist account of vagueness can be given within natural semantics, an alternative (...)
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  • Varzi on Supervaluationism and Logical Consequence.Pablo Cobreros - 2011 - Mind 120 (479):833-43.
    Though it is standardly assumed that supervaluationism applied to vagueness is committed to global validity, Achille Varzi (2007) argues that the supervaluationist should take seriously the idea of adopting local validity instead. Varzi’s motivation for the adoption of local validity is largely based on two objections against the global notion: that it brings some counterexamples to classically valid rules of inference and that it is inconsistent with unrestricted higher-order vagueness. In this discussion I review these objections and point out ways (...)
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  • Validity and Interpretation.Andrea Iacona - 2010 - Australasian Journal of Philosophy 88 (2):247-264.
    This paper claims that there is a plausible sense in which validity is a matter of truth preservation relative to interpretations of the sentences that occur in an argument, although it is not the sense one might have in mind. §1 outlines three independent problems: the first is the paradox of the sorites, the second concerns the fallacy of equivocation, and the third arises in connection with the standard treatment of indexicals. §2 elucidates the claim about validity, while §§3-5 show (...)
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  • Vagueness: Supervaluationism.Rosanna Keefe - 2008 - Philosophy Compass 3 (2):315–324.
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  • Betting on Borderline Cases.Richard Dietz - 2008 - Philosophical Perspectives 22 (1):47-88.
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  • How to Water a Thousand Flowers. On the Logic of Logical Pluralism.Andrea Sereni & Maria Paola Sforza Fogliani - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy:1-24.
    How many logics do logical pluralists adopt, or are allowed to adopt, or ought to adopt, in arguing for their view? These metatheoretical questions lurk behind much of the discussion on logical pluralism, and have a direct bearing on normative issues concerning the choice of a correct logic and the characterization of valid reasoning. Still, they commonly receive just swift answers – if any. Our aim is to tackle these questions head on, by clarifying the range of possibilities that logical (...)
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  • Supervaluational Propositional Content.Benjamin Rohrs - 2017 - Synthese 194 (6).
    It’s not clear what supervaluationists should say about propositional content. Does a vague sentence, e.g., ‘Harry is bald’, express one proposition, or a barrage of propositions, or none at all? Or is the matter indeterminate? The supervaluationist canon is not decisive on the issue; authoritative passages can be cited in favor of each of the proposals just mentioned. Furthermore, some detractors have argued that supervaluationism is incapable of providing any coherent account of propositional content. This paper considers each of the (...)
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  • The Psychology of Vagueness: Borderline Cases and Contradictions.Sam Alxatib & Francis Jeffry Pelletier - 2011 - Mind and Language 26 (3):287-326.
    In an interesting experimental study, Bonini et al. (1999) present partial support for truth-gap theories of vagueness. We say this despite their claim to find theoretical and empirical reasons to dismiss gap theories and despite the fact that they favor an alternative, epistemic account, which they call ‘vagueness as ignorance’. We present yet more experimental evidence that supports gap theories, and argue for a semantic/pragmatic alternative that unifies the gappy supervaluationary approach together with its glutty relative, the subvaluationary approach.
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  • Disjunction.Ray Jennings - 2008 - Stanford Encyclopedia of Philosophy.
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