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  1. Many-valued logics.Grzegorz Malinowski - 1993 - New York: Oxford University Press. Edited by L. Goble.
    This book provides an incisive, basic introduction to many-valued logics and to the constructions that are "many-valued" at their origin. Using the matrix method, the author sheds light on the profound problems of many-valuedness criteria and its classical characterizations. The book also includes information concerning the main systems of many-valued logic, related axiomatic constructions, and conceptions inspired by many-valuedness. With its selective bibliography and many useful historical references, this book provides logicians, computer scientists, philosophers, and mathematicians with a valuable survey (...)
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  • Validity for Strong Pluralists.Aaron J. Cotnoir - 2013 - Philosophy and Phenomenological Research 86 (3):563-579.
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  • Suszko’s problem: Mixed consequence and compositionality.Emmanuel Chemla & Paul Égré - 2019 - Review of Symbolic Logic 12 (4):736-767.
    Suszko’s problem is the problem of finding the minimal number of truth values needed to semantically characterize a syntactic consequence relation. Suszko proved that every Tarskian consequence relation can be characterized using only two truth values. Malinowski showed that this number can equal three if some of Tarski’s structural constraints are relaxed. By so doing, Malinowski introduced a case of so-called mixed consequence, allowing the notion of a designated value to vary between the premises and the conclusions of an argument. (...)
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  • True, false, paranormal and 'designated'?: A reply to Jenkins.Colin Ready Caret & Aaron Cotnoir - 2008 - Analysis 68 (3):238–244.
    Jenkins (2007) charges that the language advanced in Beall (2007) is either expressively impoverished, or inconsistent. We argue that Jenkins’ objections are based on unreasonably strong constraints on formal theories of truth. Our primary concern is not to defend the ‘paranormal’ framework advanced in Beall, but to respond to a common – and implausible – ‘revenge’-style charge directed at a certain class of formal theories of truth and paradox.
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  • On mixed inferences and pluralism about truth predicates.J. C. Beall - 2000 - Philosophical Quarterly 50 (200):380-382.
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  • A plurality of pluralisms.Crispin Wright - 2012 - In Nikolaj Jang Lee Linding Pedersen & Cory Wright (eds.), Truth and Pluralism: Current Debates. Oxford, England: Oxford University Press. pp. 123.
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  • Taking Degrees of Truth Seriously.Josep Maria Font - 2009 - Studia Logica 91 (3):383-406.
    This is a contribution to the discussion on the role of truth degrees in manyvalued logics from the perspective of abstract algebraic logic. It starts with some thoughts on the so-called Suszko’s Thesis (that every logic is two-valued) and on the conception of semantics that underlies it, which includes the truth-preserving notion of consequence. The alternative usage of truth values in order to define logics that preserve degrees of truth is presented and discussed. Some recent works studying these in the (...)
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  • Truth and Objectivity.Crispin Wright - 1992 - Cambridge, Mass.: Harvard University Press.
    Crispin Wright offers an original perspective on the place of “realism” in philosophical inquiry. He proposes a radically new framework for discussing the claims of the realists and the anti-realists. This framework rejects the classical “deflationary” conception of truth yet allows both disputants to respect the intuition that judgments, whose status they contest, are at least semantically fitted for truth and may often justifiably be regarded as true. In the course of his argument, Wright offers original critical discussions of many (...)
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  • Logic for Alethic Pluralists.Andy Demfree Yu - 2017 - Journal of Philosophy 114 (6):277–302.
    There have been few attempts to answer the twin challenges for alethic pluralists to maintain standard accounts of the logical operators and of logical consequence in a sufficiently systematic and precise way. In this paper, I propose an account of logic and semantics on behalf of pluralists that answers both challenges in a sufficiently systematic and precise way. Crucially, the account accommodates mixed atomics, and its first-order extension also accommodates quantified sentences. Accordingly, pluralists can answer all the distinctively logical challenges (...)
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  • Truth and objectivity.Crispin Wright - 1992 - Cambridge, Mass.: Harvard University Press.
    Recasting important questions about truth and objectivity in new and helpful terms, his book will become a focus in the contemporary debates over realism, and ...
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  • Truth: A Traditional Debate Reviewed.Crispin Wright - 1998 - Canadian Journal of Philosophy 28 (sup1):31-74.
    Every student of English-speaking analytical metaphysics is taught that the early twentieth century philosophical debate about truth confronted the correspondence theory, supported by Russell, Moore, the early Wittgenstein and, later, J.L. Austin, with the coherence theory advocated by the British Idealists. Sometimes the pragmatist conception of truth deriving from Dewey, William James, and C.S. Peirce is regarded as a third player. And as befits a debate at the dawn of analytical philosophy, the matter in dispute is normally taken to have (...)
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  • Truth and Objectivity.Crispin Wright - 1992 - Philosophy and Phenomenological Research 56 (4):883-890.
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  • Suszko’s Thesis, Inferential Many-valuedness, and the Notion of a Logical System.Heinrich Wansing & Yaroslav Shramko - 2008 - Studia Logica 88 (3):405-429.
    According to Suszko’s Thesis, there are but two logical values, true and false. In this paper, R. Suszko’s, G. Malinowski’s, and M. Tsuji’s analyses of logical twovaluedness are critically discussed. Another analysis is presented, which favors a notion of a logical system as encompassing possibly more than one consequence relation. [A] fundamental problem concerning many-valuedness is to know what it really is. [13, p. 281].
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  • Truth pluralism and many-valued logics: A reply to Beall.Christine Tappolet - 2000 - Philosophical Quarterly 50 (200):382-385.
    Mixed inferences are a problem for those who want to combine truth-assessability and antirealism with respect to allegedly nondescriptive sentences: the classical account of validity has apparently to be given up. J.C. Beall's response is that validity can be defined as the conservation of designated valued (Beall 2000). I argue that since it presupposes a truth predicate that can be applied to all sentences, this suggestion is not helpful. I also consider problems arising from mixed conjunctions and discuss the deeper (...)
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  • Mixed inferences: A problem for pluralism about truth predicates.Christine Tappolet - 1997 - Analysis 57 (3):209–210.
    In reply to Geach's objection against expressivism, some have claimed that there is a plurality of truth predicates. I raise a difficulty for this claim: valid inferences can involve sentences assessable by any truth predicate, corresponding to 'lightweight' truth as well as to 'heavyweight' truth. To account for this, some unique truth predicate must apply to all sentences that can appear in inferences. Mixed inferences remind us of a central platitude about truth: truth is what is preserved in valid inferences. (...)
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  • The Fregean Axiom and Polish mathematical logic in the 1920s.Roman Suszko - 1977 - Studia Logica 36 (4):377-380.
    Summary of the talk given to the 22nd Conference on the History of Logic, Cracow (Poland), July 5–9, 1976.
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  • A Simple Notion of Validity for Alethic Pluralism.Andrea Strollo - 2018 - Synthese 195 (4):1529-1546.
    Alethic pluralism holds that there are many truth properties. The view has been challenged to make sense of the notion of logical validity, understood as necessary truth preservation, when inferences involving different areas of discourse are concerned. I argue that the solution proposed by Edwards to solve the analogous problem of mixed compounds can straightforwardly be adapted to give alethic pluralists also a viable account of validity.
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  • Truthier Than Thou: Truth, Supertruth and Probability of Truth.Nicholas J. J. Smith - 2015 - Noûs 50 (4):740-58.
    Different formal tools are useful for different purposes. For example, when it comes to modelling degrees of belief, probability theory is a better tool than classical logic; when it comes to modelling the truth of mathematical claims, classical logic is a better tool than probability theory. In this paper I focus on a widely used formal tool and argue that it does not provide a good model of a phenomenon of which many think it does provide a good model: I (...)
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  • Aspects of compositionality.Gabriel Sandu & Jaakko Hintikka - 2001 - Journal of Logic, Language and Information 10 (1):49-61.
    We introduce several senses of the principle ofcompositionality. We illustrate the difference between them with thehelp of some recent results obtained by Cameron and Hodges oncompositional semantics for languages of imperfect information.
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  • Hyperintensional metaphysics.Daniel Nolan - 2014 - Philosophical Studies 171 (1):149-160.
    In the last few decades of the twentieth century there was a revolution in metaphysics: the intensional revolution. Many metaphysicians rejected the doctrine, associated with Quine and Davidson, that extensional analyses and theoretical resources were the only acceptable ones. Metaphysicians embraced tools like modal and counterfactual analyses, claims of modal and counterfactual dependence, and entities such as possible worlds and intensionally individuated properties and relations. The twenty-first century is seeing a hypterintensional revolution. Theoretical tools in common use carve more finely (...)
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  • Truth as one and many.Michael P. Lynch - 2009 - New York : Clarendon Press,: Clarendon Press.
    What is truth? Michael Lynch defends a bold new answer to this question. Traditional theories of truth hold that truth has only a single uniform nature. All truths are true in the same way. More recent deflationary theories claim that truth has no nature at all; the concept of truth is of no real philosophical importance. In this concise and clearly written book, Lynch argues that we should reject both these extremes and hold that truth is a functional property. To (...)
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  • Truth as One and Many * By Michael Lynch. [REVIEW]Michael Lynch - 2010 - Analysis 70 (1):191-193.
    In Truth as One and Many, Michael Lynch offers a new theory of truth. There are two kinds of theory of truth in the literature. On the one hand, we have logical theories, which seek to construct formal systems that are consistent, while also containing a predicate which have as many as possible of the properties which we ordinarily take the English predicate ‘is true’ to have; salient examples include Tarski’s and Kripke’s theories of truth. On the other hand, we (...)
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  • Compositional semantics for a language of imperfect information.W. Hodges - 1997 - Logic Journal of the IGPL 5 (4):539-563.
    We describe a logic which is the same as first-order logic except that it allows control over the information that passes down from formulas to subformulas. For example the logic is adequate to express branching quantifiers. We describe a compositional semantics for this logic; in particular this gives a compositional meaning to formulas of the 'information-friendly' language of Hintikka and Sandu. For first-order formulas the semantics reduces to Tarski's semantics for first-order logic. We prove that two formulas have the same (...)
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  • Logic, Logical Form, and the Disunity of Truth.Will Gamester - 2019 - Analysis 79 (1):34-43.
    Monists say that the nature of truth is invariant, whichever sentence you consider; pluralists say that the nature of truth varies between different sets of sentences. The orthodoxy is that logic and logical form favour monism: there must be a single property that is preserved in any valid inference; and any truth-functional complex must be true in the same way as its components. The orthodoxy, I argue, is mistaken. Logic and logical form impose only structural constraints on a metaphysics of (...)
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  • Ecumenical alethic pluralism.Filippo Ferrari & Sebastiano Moruzzi - 2019 - Canadian Journal of Philosophy 49 (3):368-393.
    ABSTRACTEcumenical Alethic Pluralism is a novel kind of alethic pluralism. It is ecumenical in that it widens the scope of alethic pluralism by allowing for a normatively deflated truth property alongside a variety of normatively robust truth properties. We establish EAP by showing how Wright’s Inflationary Arguments fail in the domain of taste, once a relativist treatment of the metaphysics and epistemology of that domain is endorsed. EAP is highly significant to current debates on the nature of truth insofar as (...)
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  • Introduction to the special issue “alethic pluralism and the normativity of truth”.Filippo Ferrari & Sebastiano Moruzzi - 2020 - American Philosophical Quarterly 57 (4):309-310.
    In Truth and Objectivity, Crispin Wright argues that because truth is a distinctively normative property, it cannot be as metaphysically insubstantive as deflationists claim.1 This argument has been taken, together with the scope problem,2 as one of the main motivations for alethic pluralism.3 We offer a reconstruction of Wright’s Inflationary Argument (henceforth IA) aimed at highlighting what are the steps required to establish its inflationary conclusion. We argue that if a certain metaphysical and epistemological view of a given subject matter (...)
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  • Deflating truth about taste.Filippo Ferrari & Sebastiano Moruzzi - 2020 - American Philosophical Quarterly 57 (4):389-402.
    In Truth and Objectivity, Crispin Wright argues that because truth is a distinctively normative property, it cannot be as metaphysically insubstantive as deflationists claim. We offer a reconstruction of Wright’s Inflationary Argument that highlights the steps required to establish its inflationary conclusion. We argue that if a certain metaphysical and epistemological view of a given subject matter is accepted, a local counterexample to the Inflationary Argument can be constructed. As a case study we focus on the domain of basic taste. (...)
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  • VIII.—Truth.Michael Dummett - 1959 - Proceedings of the Aristotelian Society 59 (1):141-162.
    Michael Dummett; VIII.—Truth, Proceedings of the Aristotelian Society, Volume 59, Issue 1, 1 June 1959, Pages 141–162, https://doi.org/10.1093/aristotelian/59.1.
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  • Truth.Michael Dummett - 1959 - Proceedings of the Aristotelian Society 59 (1):141-62.
    Michael Dummett; VIII.—Truth, Proceedings of the Aristotelian Society, Volume 59, Issue 1, 1 June 1959, Pages 141–162, https://doi.org/10.1093/aristotelian/59.1.
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  • VIII.—Truth.Michael Dummett - 1959 - Proceedings of the Aristotelian Society 59:141-162.
    Michael Dummett; VIII.—Truth, Proceedings of the Aristotelian Society, Volume 59, Issue 1, 1 June 1959, Pages 141–162, https://doi.org/10.1093/aristotelian/59.1.
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  • Truth.Michael Dummett - 1968 - Journal of Symbolic Logic 33 (1):148-148.
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  • Truth and Other Enigmas.Michael Dummett - 1978 - Philosophical Quarterly 31 (122):47-67.
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  • Truth values.Yaroslav Shramko - 2010 - Stanford Encyclopedia of Philosophy.
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  • Symbolic Logic.C. I. Lewis & C. H. Langford - 1932 - Erkenntnis 4 (1):65-66.
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  • Deflationism and Truth-Value Gaps.Patrick Greenough - 2010 - In Nikolaj Pedersen & Cory D. Wright (eds.), New Waves inTruth. Palgrave-Macmillan.
    Central to any form of Deflationism concerning truth (hereafter ‘DT’) is the claim that truth has no substantial theoretical role to play. For this reason, DT faces the following immediate challenge: if truth can play no substantial theoretical role then how can we model various prevalent kinds of indeterminacy—such as the indeterminacy exhibited by vague predicates, future contingents, liar sentences, truth-teller sentences, incomplete stipulations, cases of presupposition failure, and such-like? It is too hasty to assume that these phenomena are all (...)
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  • Algebraic Semantics and Mixed Validities: A Reply to Cotnoir.Andrea Strollo - 2018 - Logique Et Analyse 61.
    Alethic pluralism holds that there are many ways of being true. Such a view has been challenged to make sense of the standard account of logical validity as necessary truth preservation. In this paper, the recent solution elaborated by Aaron Cotnoir, based on an algebraic approach, is shown to be untenable. Some reflections about the relation of many-valued logics with truth pluralism are also discussed.
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  • Truth and Other Enigmas.Michael Dummett - 1978 - British Journal for the Philosophy of Science 32 (4):419-425.
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  • Can Alethic Pluralists Maintain Compositionality?Andy Demfree Yu - 2017 - Philosophical Quarterly 67 (268):625–632.
    The challenge for alethic pluralists to maintain a standard, truth-functional account of the logical operators has received some attention. In this paper, I consider a related but more fundamental challenge, to maintain a compositional account of the logical operators, which has received much less attention. I argue that, given natural assumptions, pluralists cannot answer this challenge.
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  • Symbolic Logic.Clarence Irving Lewis & Cooper Harold Langford - 1934 - Mind 43 (169):99-109.
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  • A Critical Study of Crispin Wright, Truth and Objectivity. [REVIEW]Timothy Williamson - 1994 - Humana Mente 30 (1):130-144.
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  • Inferential many-valuedness.G. Malinowski - 1994 - In Jan Wolenski (ed.), Philosophical Logic in Poland. Kluwer Academic Publishers. pp. 75--84.
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