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  1. Boolean Mereology.Xinhe Wu - 2023 - Journal of Philosophical Logic 52 (3):731-766.
    Most ordinary objects - cats, humans, mountains, ships, tables, etc. - have indeterminate mereological boundaries. If the theory of mereology is meant to include ordinary objects at all, we need it to have some space for mereological indeterminacy. In this paper, we present a novel degree-theoretic semantics - Boolean semantics - and argue that it is the best degree-theoretic semantics for modeling mereological indeterminacy, for three main reasons: (a) it allows for incomparable degrees of parthood, (b) it enforces classical logic, (...)
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  • Future Contingency and Classical Indeterminism.Richard Gaskin - 2021 - Erkenntnis 88 (8):1-18.
    A position that has been called ‘classical indeterminism’ has recently been developed in order to model vagueness: this approach appeals to an object-language ‘determinately’ operator, the semantics of which are defined in such a way as to preserve the principle of bivalence. I suggest that a prominent argument against this strategy, which I call the Field–Williamson argument, fails. The classical indeterminist position in its general form was anticipated by the Aristotelian commentators in their discussions of Aristotle’s famous ‘sea battle’ passage (...)
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  • Supervaluations and the Strict-Tolerant Hierarchy.Brian Porter - 2021 - Journal of Philosophical Logic 51 (6):1367-1386.
    In a recent paper, Barrio, Pailos and Szmuc (BPS) show that there are logics that have exactly the validities of classical logic up to arbitrarily high levels of inference. They suggest that a logic therefore must be identified by its valid inferences at every inferential level. However, Scambler shows that there are logics with all the validities of classical logic at every inferential level, but with no antivalidities at any inferential level. Scambler concludes that in order to identify a logic, (...)
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  • Vagueness: Why Do We Believe in Tolerance?Paul Égré - 2015 - Journal of Philosophical Logic 44 (6):663-679.
    The tolerance principle, the idea that vague predicates are insensitive to sufficiently small changes, remains the main bone of contention between theories of vagueness. In this paper I examine three sources behind our ordinary belief in the tolerance principle, to establish whether any of them might give us a good reason to revise classical logic. First, I compare our understanding of tolerance in the case of precise predicates and in the case of vague predicates. While tolerance in the case of (...)
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  • Castles Built on Clouds: Vague Identity and Vague Objects.Benjamin L. Curtis & Harold W. Noonan - 2014 - In Ken Akiba & Ali Abasnezhad (eds.), Vague Objects and Vague Identity: New Essays on Ontic Vagueness. Dordrecht, Netherland: Springer. pp. 305-326.
    Can identity itself be vague? Can there be vague objects? Does a positive answer to either question entail a positive answer to the other? In this paper we answer these questions as follows: No, No, and Yes. First, we discuss Evans’s famous 1978 argument and argue that the main lesson that it imparts is that identity itself cannot be vague. We defend the argument from objections and endorse this conclusion. We acknowledge, however, that the argument does not by itself establish (...)
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  • Saying More (or Less) than One Thing.Andrea Iacona - 2010 - In Richard Dietz & Sebastiano Moruzzi (eds.), Cuts and clouds: vagueness, its nature, and its logic. New York: 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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  • Being Metaphysically Unsettled: Barnes and WIlliams on Metaphysical Indeterminacy and Vagueness.Matti Eklund - 2008 - In Dean W. Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press. pp. 6.
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  • Indeterminacy, identity and counterparts: Evans reconsidered.Elizabeth Barnes - 2009 - Synthese 168 (1):81 - 96.
    In this paper I argue that Gareth Evans’ famous proof of the impossibility of de re indeterminate identity fails on a counterpart-theoretic interpretation of the determinacy operators. I attempt to motivate a counterpart-theoretic reading of the determinacy operators and then show that, understood counterpart-theoretically, Evans’ argument is straightforwardly invalid.
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  • Vague representation.Agustín Rayo - 2008 - Mind 117 (466):329-373.
    The goal of this paper is to develop a theory of content for vague language. My proposal is based on the following three theses: (1) language-mastery is not rulebased— it involves a certain kind of decision-making; (2) a theory of content is to be thought of instrumentally—it is a tool for making sense of our linguistic practice; and (3) linguistic contents are only locally defined—they are only defined relative to suitably constrained sets of possibilities. CiteULike Connotea Del.icio.us What's this?
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  • Vagueness.Achille C. Varzi - 2003 - In L. Nadel (ed.), Encyclopedia of Cognitive Science. Nature Publishing Group. pp. 459–464.
    This is an encyclopedia entry on vagueness, focusing mainly on the opposition between re re and de dicta (linguistic or cognitive) accounts.
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  • The Sorites Meets the Many.Ricardo Mena - 2014 - Tópicos: Revista de Filosofía 47:139-158.
    El objetivo de este artículo es entender ciertas cuestiones que surgen cuando reconocemos que un buen número de predicados del lenguaje natural son indeterminados de dos maneras diferentes. Por ejemplo, el predicado ‘es una montaña’ es vago y susceptible al problema de los muchos. A lo largo de este artículo me enfocaré en cómo distinguir estos dos tipos de indeterminación, y en un problema que el supervaluacionismo iene cuando reconoce que un predicado puede ser vago y susceptible al problema de (...)
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  • Is Vagueness Sui Generis?David Barnett - 2009 - Australasian Journal of Philosophy 87 (1):5-34.
    On the dominant view of vagueness, if it is vague whether Harry is bald, then it is unsettled, not merely epistemically, but metaphysically, whether Harry is bald. In other words, vagueness is a type of indeterminacy. On the standard alternative, vagueness is a type of ignorance: if it is vague whether Harry is bald, then, even though it is metaphysically settled whether Harry is bald, we cannot know whether Harry is bald. On my view, vagueness is neither a type of (...)
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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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  • Tolerance effect in categorisation with vague predicates.Minyao Huang - 2013 - Pragmatics and Cognition 21 (2):340-358.
    Vagueness is understood as the problem of associating imprecise application criteria with ordinary predicates such as ‘bald’ or ‘blue’. It is often construed as due to one’s tolerance to a minute difference in forming a verdict on the application of a vague predicate. This paper reports an experiment conducted to test the effect of tolerance, using as paradigm categorisation tasks performed with respect to transitional series, e.g., a series of tomatoes from red to orange. The findings suggest a negative effect (...)
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  • II—Patrick Greenough: Contextualism about Vagueness and Higher‐order Vagueness.Stewart Shapiro & Patrick Greenough - 2005 - Aristotelian Society Supplementary Volume 79 (1):167-190.
    To get to grips with what Shapiro does and can say about higher-order vagueness, it is first necessary to thoroughly review and evaluate his conception of (first-order) vagueness, a conception which is both rich and suggestive but, as it turns out, not so easy to stabilise. In Sections I–IV, his basic position on vagueness (see Shapiro [2003]) is outlined and assessed. As we go along, I offer some suggestions for improvement. In Sections V–VI, I review two key paradoxes of higher-order (...)
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  • Vague Objects and Vague Identity: New Essays on Ontic Vagueness.K. Akiba (ed.) - 2014 - Dordrecht, Netherland: Springer.
    This unique anthology of new, contributed essays offers a range of perspectives on various aspects of ontic vagueness. It seeks to answer core questions pertaining to onticism, the view that vagueness exists in the world itself. The questions to be addressed include whether vague objects must have vague identity, and whether ontic vagueness has a distinctive logic, one that is not shared by semantic or epistemic vagueness. The essays in this volume explain the motivations behind onticism, such as the plausibility (...)
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  • Objective Probability in Everettian Quantum Mechanics.Alastair Wilson - 2013 - British Journal for the Philosophy of Science 64 (4):709-737.
    David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics. This approach promises to resolve some long-standing problems with probability in EQM, but it has faced plenty of resistance. One kind of objection charges that the requisite notion of decision-theoretic uncertainty is unavailable in the Everettian picture, so that the argument cannot gain any traction; another kind of objection grants the proof’s applicability and targets the premises. In this article I propose some (...)
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  • Vagueness and Partial Belief.Stephen Schiffer - 2000 - Noûs 34 (s1):220 - 257.
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  • Vagueness: A Guide.Giuseppina Ronzitti (ed.) - 2011 - Dordrecht, Netherland: Springer Verlag.
    This volume analyzes and studies how vagueness occurs and matters as a specific problem in the context of theories that are primarily about something else.
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  • Vagueness, tolerance and contextual logic.Haim Gaifman - 2010 - Synthese 174 (1):5 - 46.
    The goal of this paper is a comprehensive analysis of basic reasoning patterns that are characteristic of vague predicates. The analysis leads to rigorous reconstructions of the phenomena within formal systems. Two basic features are dealt with. One is tolerance: the insensitivity of predicates to small changes in the objects of predication (a one-increment of a walking distance is a walking distance). The other is the existence of borderline cases. The paper shows why these should be treated as different, though (...)
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  • Supervaluationism, vagueifiers, and semantic overdetermination.Matti Eklund - 2001 - Dialectica 55 (4):363–378.
    Supervaluationism, traditionally conceived, is the conjunction of three theses: Vagueness in a language gives rise to there being a multitude of acceptable assignments of semantic values to some expressions of the language, These assignments correspond to possible completions of the meanings of vague expressions, Truth is truth under all acceptable assignments, and falsity is falsity under all acceptable assignments. Supervaluationism has three chief virtues. It preserves classical logic. It provides an account of what vagueness is . And it extends nicely (...)
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  • The mystery of the missing boundary. [REVIEW]Dorothy Edgington - 2005 - Philosophy and Phenomenological Research 71 (3):704–711.
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  • Contextualism about vagueness and higher-order vagueness.Patrick Greenough - 2005 - Aristotelian Society Supplementary Volume 79 (1):167–190.
    To get to grips with what Shapiro does and can say about higher-order vagueness, it is first necessary to thoroughly review and evaluate his conception of (first-order) vagueness, a conception which is both rich and suggestive but, as it turns out, not so easy to stabilise. In Sections I–IV, his basic position on vagueness (see Shapiro [2003]) is outlined and assessed. As we go along, I offer some suggestions for improvement. In Sections V–VI, I review two key paradoxes of higher-order (...)
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  • Bivalence and what is said.Manuel García-Carpintero - 2007 - Dialectica 61 (1):167–190.
    On standard versions of supervaluationism, truth is equated with supertruth, and does not satisfy bivalence: some truth-bearers are neither true nor false. In this paper I want to confront a well-known worry about this, recently put by Wright as follows: ‘The downside . . . rightly emphasized by Williamson . . . is the implicit surrender of the T-scheme’. I will argue that such a cost is not high: independently motivated philosophical distinctions support the surrender of the T- scheme, and (...)
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  • The Mystery of the Missing Boundary.Dorothy Edgington - 2005 - Philosophy and Phenomenological Research 71 (3):704-711.
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  • II—Patrick Greenough: Contextualism about Vagueness and Higher‐order Vagueness.Patrick Greenough - 2005 - Aristotelian Society Supplementary Volume 79 (1):167-190.
    To get to grips with what Shapiro does and can say about higher-order vagueness, it is first necessary to thoroughly review and evaluate his conception of (first-order) vagueness, a conception which is both rich and suggestive but, as it turns out, not so easy to stabilise. In Sections I–IV, his basic position on vagueness (see Shapiro [2003]) is outlined and assessed. As we go along, I offer some suggestions for improvement. In Sections V–VI, I review two key paradoxes of higher-order (...)
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  • Evaluating beliefs.Alexander Paul Vincent Jackson - unknown
    This dissertation examines some of ways of evaluating beliefs, relevant to epistemology and to metaphysics. Some problems in normative epistemology are solved by properly relating justified belief, rational belief, and knowledge. Chapter 1 uses this strategy to defend externalism about justified belief. Chapters 3 and 4 defend the view that knowledge is the epistemic standard we aim for our beliefs to meet. Chapter 2 investigates which beliefs are improper because formed in an objectionably circular way. The findings support the Moorean (...)
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  • Borel on the Heap.Paul Égré & Anouk Barberousse - 2014 - Erkenntnis 79 (S5):1043-1079.
    In 1907 Borel published a remarkable essay on the paradox of the Heap (“Un paradoxe économique: le sophisme du tas de blé et les vérités statistiques”), in which Borel proposes what is likely the first statistical account of vagueness ever written, and where he discusses the practical implications of the sorites paradox, including in economics. Borel’s paper was integrated in his book Le Hasard, published 1914, but has gone mostly unnoticed since its publication. One of the originalities of Borel’s essay (...)
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  • I confini del Cervino.Achille C. Varzi - 2001 - In V. Fano, M. Stanzione & G. Tarozzi (eds.), Prospettive Della Logica E Della Filosofia Della Scienza. Rubettino. pp. 431–445.
    Some philosophers have argued that the vagueness exhibited by names and descriptions such as ‘Mount Everest’, ‘Downtown Manhattan’, or ‘that cloud in the sky’ is ultimately ontological: they are vague because they refer to vague objects, objects with fuzzy boundaries. I take the opposite stand and argue for the view that all vagueness is semantic. There is no such thing as a vague mountain. Rather, there are many things where we conceive the mountain to be, each with its precise boundary, (...)
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  • Does Vagueness Exclude Knowledge?David Barnett - 2010 - Philosophy and Phenomenological Research 82 (1):22 - 45.
    On two standard views of vagueness, vagueness as to whether Harry is bald entails that nobody knows whether Harry is bald—either because vagueness is a type of missing truth, and so there is nothing to know, or because vagueness is a type of ignorance, and so even though there is a truth of the matter, nobody can know what that truth is. Vagueness as to whether Harry is bald does entail that nobody clearly knows that Harry is bald and that (...)
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  • Truth Meets Vagueness. Unifying the Semantic and the Soritical Paradoxes.Riccardo Bruni & Lorenzo Rossi - 2023 - Journal of Philosophical Logic 52 (6):1637-1671.
    Semantic and soritical paradoxes display remarkable family resemblances. For one thing, several non-classical logics have been independently applied to both kinds of paradoxes. For another, revenge paradoxes and higher-order vagueness—among the most serious problems targeting solutions to semantic and soritical paradoxes—exhibit a rather similar dynamics. Some authors have taken these facts to suggest that truth and vagueness require a unified logical framework, or perhaps that the truth predicate is itself vague. However, a common core of semantic and soritical paradoxes has (...)
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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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  • Vagueness, Open-Texture, and Retrievability.Stewart Shapiro - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (2-3):307-326.
    Just about every theorist holds that vague terms are context-sensitive to some extent. What counts as ?tall?, ?rich?, and ?bald? depends on the ambient comparison class, paradigm cases, and/or the like. To take a stock example, a given person might be tall with respect to European entrepreneurs and downright short with respect to professional basketball players. It is also generally agreed that vagueness remains even after comparison class, paradigm cases, etc. are fixed, and so this context sensitivity does not solve (...)
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  • La teoría pragmática de la vaguedad. Problemas Y perspectivas (the pragmatic theory of vagueness. Problems and perspectives).Enrique Romerales - 2004 - Theoria 19 (1):49-75.
    Los dos grandes problemas del enfoque supervaluacionista para la vaguedad son determinar cuáles son las precisificaciones admisibles y la vaguedad de orden superior ilimitado. Apelando al uso de los términos vagos por la comunidad lingüística competente puede dividirse de forma tajante la extension de un término precisando en qué casos se aplica definidamente, en cuáles se aplica indefinidamente y en cuales es indeterminado si se aplica. Esto produce dos órdenes de vaguedad, con lo que se bloquean los argumentos sorites. Finalmente (...)
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  • ‘True’ as Polysemous.Andy Yu - 2021 - Pacific Philosophical Quarterly 102 (4):542-569.
    In this paper, I propose that 'true’ is polysemous, and thus ambiguous. I suggest that the semantic paradoxes both motivates taking 'true’ to be polysemous and shows that the concept truth is indefinitely extensible. In doing so, I explain that 'true’ is polysemous between the meanings corresponding to the subconcepts of the concept truth generated by such indefinite extensibility. I conclude that the proposal provides satisfying solutions to the semantic paradoxes.
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  • An argument for the many.J. Robert G. Williams - 2006 - Proceedings of the Aristotelian Society (Paperback) 106 (3):409-417.
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  • Vagueness and Partial Belief.Stephen Schiffer - 2000 - Philosophical Issues 10 (1):220-257.
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  • Vagueness, Interpretation, and the Law.Ólafur Páll Jónsson - 2009 - Legal Theory 15 (3):193-214.
    It is widely accepted that vagueness in law calls for a specific interpretation of the law—interpretation that changes the meaning of the law and makes it more precise. According to this view, vagueness causes gaps in the law, and the role of legal interpretation in the case of vagueness is to fill such gaps. I argue that this view is mistaken and defend the thesis that vagueness in law calls only for an application of the law to the case at (...)
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  • The rationale behind revision-rule semantics.Lionel Shapiro - 2006 - Philosophical Studies 129 (3):477 - 515.
    According to Gupta and Belnap, the “extensional behavior” of ‘true’ matches that of a circularly defined predicate. Besides promising to explain semantic paradoxicality, their general theory of circular predicates significantly liberalizes the framework of truth-conditional semantics. The authors’ discussions of the rationale behind that liberalization invoke two distinct senses in which a circular predicate’s semantic behavior is explained by a “revision rule” carrying hypothetical information about its extension. Neither attempted explanation succeeds. Their theory may however be modified to employ a (...)
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  • Vagueness as Semantic.Max Kölbel - 2010 - In Richard Dietz & Sebastiano Moruzzi (eds.), Cuts and clouds: vagueness, its nature, and its logic. New York: Oxford University Press.
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  • Published in Philosophical Topics 28 (2000): pp. 211-244.Falsity Truth & Borderline Cases - 2000 - Philosophical Topics 28:211-244.
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  • Supervaluationism and branching indeterminacy.David E. Taylor - 2021 - Analytic Philosophy 62 (2):141-164.
    One of the most popular and enduring approaches to indeterminacy phenomena (e.g., vagueness) over the past several decades has been some form or another of supervaluationism. I argue that supervaluationism is inadequate as a model of indeterminacy: There is an entire class of examples of indeterminacy, characterized by a common “branching” structure, that cannot be modeled in the way supervaluationism proposes. I demonstrate my conclusion explicitly with respect to two specific examples—indeterminate personal identity and indeterminate reference—showing how supervaluationism can model (...)
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  • Against Truth-value gaps.Michael Glanzberg - 2003 - In J. C. Beall (ed.), Liars and heaps: new essays on paradox. New York: Oxford University Press. pp. 151--94.
    ∗Thanks to J. C. Beall, Alex Byrne, Jason Decker, Tyler Doggett, Paul Elbourne, Adam Elga, Warren Goldfarb, Delia Graff, Richard Heck, Charles Parsons, Mark Richard, Susanna Siegel, Jason Stanley, Judith Thomson, Carol Voeller, Brian Weatherson, Ralph Wedgwood, Steve Yablo, Cheryl Zoll, and an anonymous referee for valuable comments and discussions. Versions of this material were presented in my seminar at MIT in the Fall of 2000, and at the University of Maryland, Baltimore County. Parts of this paper also derive from (...)
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  • Extensions in Flux : An Essay on Vagueness and Context Sensitivity.Jonas Åkerman - 2009 - Dissertation, Stockholm University
    The extensions of vague predicates like ‘is bald’, ‘is tall’, and ‘is a heap’ apparently lack sharp boundaries, and this makes such predicates susceptible to soritical reasoning, i.e. reasoning that leads to some version of the notorious sorites paradox. This essay is concerned with a certain kind of theory of vagueness, according to which the symptoms and puzzles of vagueness should be accounted for in terms of a particular species of context sensitivity exhibited by vague expressions. The basic idea is (...)
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  • Borderline Cases and Definiteness.Zoltán Vecsey - 2012 - Prolegomena 11 (2):197-206.
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  • Vagueness and Logic.Stewart Shapiro - 2011 - In Giuseppina Ronzitti (ed.), Vagueness: A Guide. Dordrecht, Netherland: Springer Verlag. pp. 55--81.
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  • Supervaluationism and its logics.John Gardner - manuscript
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  • Ser de Uma Maneira sem Ser Claramente dessa Maneira: um Problema para o Supervalorativismo.Ricardo Santos - 2012 - Disputatio 4 (34):823-849.
    Title in English: "Being a certain way without being definitely that way: a problem for supervaluationism". I argue that the supervaluationist theory of vagueness, in its most common version, is committed to a thesis – viz., the incompatibility between being-F and not-being-definitely-F – which is doubtful, unjustified and in conflict with the definition of super-truth as truth in all admissible precisifications of a vague language.
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  • A Contextualist Approach to Higher‐Order Vagueness.Martin Montminy - 2016 - Southern Journal of Philosophy 54 (3):372-392.
    According to contextualism about vagueness, the content of a vague predicate is context sensitive. On this view, when item a is in the penumbra of the vague predicate ‘F’, speakers may utter ‘Fa’, or they may utter ‘not-Fa’, without contravening the literal meaning of ‘F’. Unlike its more popular variants, the version of contextualism I defend rejects the principle of tolerance, a principle according to which small differences should not affect the applicability of a vague predicate. My goal is to (...)
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  • Vindicating Chance: One the Reductionism/Non-Reductionism Debate.Ramiro Caso - 2016 - Critica 48 (142):3-33.
    e presenta el debate entre reduccionismo y no reduccionismo respecto de la probabilidad objetiva y se identifican las cargas dialécticas adquiridas por cada posición: el problema de la motivación y el problema de la explicación. Se argumenta que, mientras que el problema de la motivación no presenta ningún desafío para los no reduccionistas, los reduccionistas no son capaces de responderlo exitosamente. Contrariamente a lo que se ha sugerido, ambos lados comparten el problema de la explicación. Se argumenta que los no (...)
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