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Inheritors and paradox

Journal of Philosophy 74 (10):590-604 (1977)

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  1. Inter-model connectives and substructural logics.Igor Sedlár - 2014 - In Roberto Ciuni, Heinrich Wansing & Caroline Willkommen (eds.), Recent Trends in Philosophical Logic (Proceedings of Trends in Logic XI). Cham, Switzerland: Springer. pp. 195-209.
    The paper provides an alternative interpretation of ‘pair points’, discussed in Beall et al., "On the ternary relation and conditionality", J. of Philosophical Logic 41(3), 595-612. Pair points are seen as points viewed from two different ‘perspectives’ and the latter are explicated in terms of two independent valuations. The interpretation is developed into a semantics using pairs of Kripke models (‘pair models’). It is demonstrated that, if certain conditions are fulfilled, pair models are validity-preserving copies of positive substructural models. This (...)
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  • Two types of deflationism.Aladdin M. Yaqub - 2008 - Synthese 165 (1):77-106.
    It is a fundamental intuition about truth that the conditions under which a sentence is true are given by what the sentence asserts. My aim in this paper is to show that this intuition captures the concept of truth completely and correctly. This is conceptual deflationism, for it does not go beyond what is asserted by a sentence in order to define the truth status of that sentence. This paper, hence, is a defense of deflationism as a conceptual account of (...)
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  • The pathology of validity.James A. Woodbridge & Bradley Armour-Garb - 2008 - Synthese 160 (1):63-74.
    Stephen Read has presented an argument for the inconsistency of the concept of validity. We extend Read’s results and show that this inconsistency is but one half of a larger problem. Like the concept of truth, validity is infected with what we call semantic pathology, a condition that actually gives rise to two symptoms: inconsistency and indeterminacy. After sketching the basic ideas behind semantic pathology and explaining how it manifests both symptoms in the concept of truth, we present cases that (...)
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  • The Liar Paradox and “Meaningless” Revenge.Jared Warren - 2023 - Journal of Philosophical Logic 53 (1):49-78.
    A historically popular response to the liar paradox (“this sentence is false”) is to say that the liar sentence is meaningless (or semantically defective, or malfunctions, or…). Unfortunately, like all other supposed solutions to the liar, this approach faces a revenge challenge. Consider the revenge liar sentence, “this sentence is either meaningless or false”. If it is true, then it is either meaningless or false, so not true. And if it is not true, then it can’t be either meaningless or (...)
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  • Restricting the T‐schema to Solve the Liar.Jared Warren - 2023 - Philosophy and Phenomenological Research 108 (1):238-258.
    If we want to retain classical logic and standard syntax in light of the liar, we are forced to restrict the T-schema. The traditional philosophical justification for this is sentential – liar sentences somehow malfunction. But the standard formal way of implementing this is conditional, our T-sentences tell us that if “p” does not malfunction, then “p” is true if and only if p. Recently Bacon and others have pointed out that conditional T-restrictions like this flirt with incoherence. If we (...)
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  • Davidsonian Semantics and Anaphoric Deflationism.David Löwenstein - 2012 - Dialectica 66 (1):23-44.
    Whether or not deflationism is compatible with truth-conditional theories of meaning has often been discussed in very broad terms. This paper only focuses on Davidsonian semantics and Brandom's anaphoric deflationism and defends the claim that these are perfectly compatible. Critics of this view have voiced several objections, the most prominent of which claims that it involves an unacceptable form of circularity. The paper discusses how this general objection applies to the case of anaphoric deflationism and Davidsonian semantics and evaluates different (...)
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  • The concept of truth and the semantics of the truth predicate.Kirk Ludwig & Emil Badici - 2007 - Inquiry: An Interdisciplinary Journal of Philosophy 50 (6):622-638.
    We sketch an account according to which the semantic concepts themselves are not pathological and the pathologies that attend the semantic predicates arise because of the intention to impose on them a role they cannot fulfill, that of expressing semantic concepts for a language that includes them. We provide a simplified model of the account and argue in its light that (i) a consequence is that our meaning intentions are unsuccessful, and such semantic predicates fail to express any concept, and (...)
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  • Supervaluation fixed-point logics of truth.Philip Kremer & Alasdair Urquhart - 2008 - Journal of Philosophical Logic 37 (5):407-440.
    Michael Kremer defines fixed-point logics of truth based on Saul Kripke’s fixed point semantics for languages expressing their own truth concepts. Kremer axiomatizes the strong Kleene fixed-point logic of truth and the weak Kleene fixed-point logic of truth, but leaves the axiomatizability question open for the supervaluation fixed-point logic of truth and its variants. We show that the principal supervaluation fixed point logic of truth, when thought of as consequence relation, is highly complex: it is not even analytic. We also (...)
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  • How Truth Behaves When There’s No Vicious Reference.Philip Kremer - 2010 - Journal of Philosophical Logic 39 (4):345-367.
    In The Revision Theory of Truth (MIT Press), Gupta and Belnap (1993) claim as an advantage of their approach to truth "its consequence that truth behaves like an ordinary classical concept under certain conditions—conditions that can roughly be characterized as those in which there is no vicious reference in the language." To clarify this remark, they define Thomason models, nonpathological models in which truth behaves like a classical concept, and investigate conditions under which a model is Thomason: they argue that (...)
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  • Comparing fixed-point and revision theories of truth.Philip Kremer - 2009 - Journal of Philosophical Logic 38 (4):363-403.
    In response to the liar’s paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. Kripke’s work suggests a number of related fixed-point theories of truth for such languages. Gupta and Belnap develop their revision theory of truth in contrast to the fixed-point theories. The current paper considers three natural ways to compare the various resulting theories of truth, and establishes the resulting relationships among these theories. The point is to get a sense of the lay of (...)
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  • Prosätze.Peter Kaliba - 1991 - Kriterion - Journal of Philosophy 1 (1):14-22.
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  • Truth and paradox.Anil Gupta - 1982 - Journal of Philosophical Logic 11 (1):1-60.
  • Truth: Do we need it? [REVIEW]Dorothy L. Grover - 1981 - Philosophia (Misc.) 40 (1):225-252.
  • Truth: Do We Need It?Dorothy Grover - 1981 - Philosophical Studies 40 (1):69-103.
  • Truth. [REVIEW]Dorothy L. Grover - 1981 - Philosophia 10 (3-4):225-252.
  • Prosentences and propositional quantification: A response to Zimmerman. [REVIEW]Dorothy Grover - 1979 - Philosophical Studies 35 (3):289 - 297.
  • Circular queue paradoxes - the missing link.L. Goldstein - 1999 - Analysis 59 (4):284-290.
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  • Why Correspondence Truth Will Not Go Away.Gerald Vision - 1997 - Notre Dame Journal of Formal Logic 38 (1):104-131.
    From the popular view that the property of truth adds nothing not already inherent in its bearers it has been inferred that classical theories of truth are thereby refuted. Taking as representative a version of deflationism based on a certain way of interpreting the Tarskian schema convention T–and popularly called "disquotational"–I argue that the view is beset by fatal difficulties. These include: an unavoidable awkwardness in handling indexicals; an inability to accept anything more than a too anemic notion of a (...)
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  • Gupta's rule of revision theory of truth.Nuel D. Belnap - 1982 - Journal of Philosophical Logic 11 (1):103-116.
    Gupta’s Rule of Revision theory of truth builds on insights to be found in Martin and Woodruff and Kripke in order to permanently deepen our understanding of truth, of paradox, and of how we work our language while our language is working us. His concept of a predicate deriving its meaning by way of a Rule of Revision ought to impact significantly on the philosophy of language. Still, fortunately, he has left me something to.
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  • Epistemicism and the Liar.Jamin Asay - 2015 - Synthese 192 (3):679-699.
    One well known approach to the soritical paradoxes is epistemicism, the view that propositions involving vague notions have definite truth values, though it is impossible in principle to know what they are. Recently, Paul Horwich has extended this approach to the liar paradox, arguing that the liar proposition has a truth value, though it is impossible to know which one it is. The main virtue of the epistemicist approach is that it need not reject classical logic, and in particular the (...)
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  • Dialetheism, semantic pathology, and the open pair.Bradley Armour-Garb & James A. Woodbridge - 2006 - Australasian Journal of Philosophy 84 (3):395 – 416.
    Over the past 25 years, Graham Priest has ably presented and defended dialetheism, the view that certain sentences are properly characterized as true with true negations. Our goal here is neither to quibble with the tenability of true, assertable contradictions nor, really, with the arguments for dialetheism. Rather, we wish to address the dialetheist's treatment of cases of semantic pathology and to pose a worry for dialetheism that has not been adequately considered. The problem that we present seems to have (...)
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  • Does truth behave like a classical concept when there is no vicious reference?Philip Kremer - unknown
    §1. Introduction. When truth-theoretic paradoxes are generated, two factors seem to be at play: the behaviour that truth intuitively has; and the facts about which singular terms refer to which sentences, and so on. For example, paradoxicality might be partially attributed to the contingent fact that the singular term, "the italicized sentence on page one", refers to the sentence, The italicized sentence on page one is not true. Factors of this second kind might be represented by a ground model: an (...)
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  • Deflationism about Truth.Bradley Armour-Garb, Daniel Stoljar & James Woodbridge - 2021 - Stanford Encyclopedia of Philosophy.
    Deflationism about truth, what is often simply called “deflationism”, is really not so much a theory of truth in the traditional sense, as it is a different, newer sort of approach to the topic. Traditional theories of truth are part of a philosophical debate about the nature of a supposed property of truth. Philosophers offering such theories often make suggestions like the following: truth consists in correspondence to the facts; truth consists in coherence with a set of beliefs or propositions; (...)
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  • Anaphoric Deflationism and Theories of Meaning.David Löwenstein - 2010 - In Theodora Achourioti, Edgar Andrade & Marc Staudacher (eds.), Proceedings of the Amsterdam Graduate Philosophy Conference. Meaning and Truth. Amsterdam, October 1-3, 2009. ILLC Publications. pp. 52-66.
    It is widely held that truth and reference play an indispensable explanatory role in theories of meaning. By contrast, so-called deflationists argue that the functions of these concepts are merely expressive and never explanatory. Robert Brandom has proposed both a variety of deflationism — the anaphoric theory —, and a theory of meaning — inferentialism — which doesn’t rely on truth or reference. He argues that the anaphoric theory counts against his (chiefly referentialist) rivals in the debate on meaning and (...)
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  • Against Crude Semantic Realism.Florian Demont - 2009 - ILLC Technical Notes (X) Series.
  • The Liar and Theories of Truth.John Hawthorn - 1983 - Dissertation, Mcgill University (Canada)
    I first discuss Chihara's claim that the presence of Liar-paradoxical sentences presents no problem for our understanding of natural languages, and argue that this cannot be held as easily as he suggests. I then consider the theories advanced by Martin, van Fraassen, Kripke and Burge which attempt to meet some of the problems involved. I argue that the claim in the first two theories that Liar sentences are ill-formed cannot be maintained, and that Burge's theory is methodologically unsound and seriously (...)
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