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The Liar: An Essay on Truth and Circularity

Oxford, England and New York, NY, USA: Oxford University Press USA. Edited by John Etchemendy (1987)

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  1. ?k: a Non-Fregean Logic of Explicit Knowledge.Steffen Lewitzka - 2011 - Studia Logica 97 (2):233-264.
    We present a new logic -based approach to the reasoning about knowledge which is independent of possible worlds semantics.? k is a non- Fregean logic whose models consist of propositional universes with subsets for true, false and known propositions. Knowledge is, in general, not closed under rules of inference; the only valid epistemic principles are the knowledge axiom K i??? and some minimal conditions concerning common knowledge in a group. Knowledge is explicit and all forms of the logical omniscience problem (...)
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  • The Nature of Appearance in Kant’s Transcendentalism: A Seman- tico-Cognitive Analysis.Sergey L. Katrechko - 2018 - Kantian Journal 37 (3):41-55.
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  • Disagreement for Dialetheists.Graham Bex-Priestley & Yonatan Shemmer - 2024 - Australasian Journal of Philosophy 102 (1):192-205.
    Dialetheists believe some sentences are both true and false. Objectors have argued that this makes it unclear how people can disagree with each other because, given the dialetheist’s commitments, if I make a claim and you tell me my claim is false, we might both be correct. Graham Priest (2006a) thinks that people disagree by rejecting or denying what is said rather than ascribing falsehood to it. We build on the work of Julien Murzi and Massimiliano Carrara (2015) and show (...)
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  • Hyperset models of self, will and reflective consciousness.Ben Goertzel - 2011 - International Journal of Machine Consciousness 3 (01):19-53.
    A novel theory of reflective consciousness, will and self is presented, based on modeling each of these entities using self-referential mathematical structures called hypersets. Pattern theory is used to argue that these exotic mathematical structures may meaningfully be considered as parts of the minds of physical systems, even finite computational systems. The hyperset models presented are hypothesized to occur as patterns within the "moving bubble of attention" of the human brain and any roughly human-mind-like AI system. These ideas appear to (...)
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  • Typ-Ken (an Amalgam of Type and Token) Drives Infosphere.Yukio-Pegio Gunji, Takayuki Niizato, Hisashi Murakami & Iori Tani - 2010 - Knowledge, Technology & Policy 23 (1):227-251.
    Floridi’s infosphere consisting of informational reality is estimated and delineated by introducing the new notion of Typ-Ken, an undifferentiated amalgam of type and token that can be expressed as either type or token dependent on contingent ontological commitment. First, we elaborate Floridi’s system, level of abstraction (LoA), model, and structure scheme, which is proposed to reconcile ontic with epistemic structural reality, and obtain the duality of type and token inherited in the relationship between LoA and model. While we focus on (...)
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  • The epsilon calculus' problematic.B. H. Slater - 1994 - Philosophical Papers 23 (3):217-242.
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  • Paradoxes.Piotr Łukowski - 2011 - Dordrecht and New York: Springer.
    This book, provides a critical approach to all major logical paradoxes: from ancient to contemporary ones. There are four key aims of the book: 1. Providing systematic and historical survey of different approaches – solutions of the most prominent paradoxes discussed in the logical and philosophical literature. 2. Introducing original solutions of major paradoxes like: Liar paradox, Protagoras paradox, an unexpected examination paradox, stone paradox, crocodile, Newcomb paradox. 3. Explaining the far-reaching significance of paradoxes of vagueness and change for philosophy (...)
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  • Semantics and Truth.Jan Woleński - 2019 - Cham, Switzerland: Springer Verlag.
    The book provides a historical and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas as well as points out various applications of the semantic theory of truth to philosophical (...)
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  • Weak speech reports.Martín Abreu Zavaleta - 2019 - Philosophical Studies 176 (8):2139-2166.
    Indirect speech reports can be true even if they attribute to the speaker the saying of something weaker than what she in fact expressed, yet not all weakenings of what the speaker expressed yield true reports. For example, if Anna utters ‘Bob and Carla passed the exam’, we can accurately report her as having said that Carla passed the exam, but we can not accurately report her as having said that either it rains or it does not, or that either (...)
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  • Alexandre Koyré im “Mekka der Mathematik”.Paola Zambelli - 1999 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 7 (1):208-230.
    In 1909 A. Koyré (1892–1964) came to Göttingen as an exile and there became a student of Edmund Husserl and other philosophers (A. Reinach, M. Scheler): already before leaving his country Russia Koyré read Husserl'sLogical Investigations, a text which interested greatly Russian philosophers and was translated into Russian in the same year. As many other contemporary philosophers, in Göttingen they were discussing on the fundaments of mathematic, Cantor's set theory and Russell's antinomies. On this problems Koyré wrote a long paper (...)
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  • From compositional to systematic semantics.Wlodek Zadrozny - 1994 - Linguistics and Philosophy 17 (4):329 - 342.
    We prove a theorem stating that any semantics can be encoded as a compositional semanties, which means that, essentially, the standard definition of compositionality is formally vacuous. We then show that when compositional semantics is required to be systematic (that is, the meaning function cannot be arbitrary, but must belong to some class), it is possible to distinguish between compositional and noncompositional semantics. As a result, we believe that the paper clarifies the concept of compositionality and opens the possibility of (...)
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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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  • Possible worlds as shifting domains.Takashi Yagisawa - 1992 - Erkenntnis 36 (1):83 - 101.
    Those who object to David Lewis' modal realism express qualms about philosophical respectability of the Lewisian notion of a possible world and its correlate notion of an inhabitant of a possible world. The resulting impression is that these two notions either stand together or fall together. I argue that the Lewisian notion of a possible world is otiose even for a good Lewisian modal realist, and that one can carry out a good Lewisian semantics for modal discourse without Lewisian possible (...)
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  • Self-referential propositions.Bruno Whittle - 2017 - Synthese 194 (12):5023-5037.
    Are there ‘self-referential’ propositions? That is, propositions that say of themselves that they have a certain property, such as that of being false. There can seem reason to doubt that there are. At the same time, there are a number of reasons why it matters. For suppose that there are indeed no such propositions. One might then hope that while paradoxes such as the Liar show that many plausible principles about sentences must be given up, no such fate will befall (...)
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  • Hierarchical Propositions.Bruno Whittle - 2017 - Journal of Philosophical Logic 46 (2):215-231.
    The notion of a proposition is central to philosophy. But it is subject to paradoxes. A natural response is a hierarchical account and, ever since Russell proposed his theory of types in 1908, this has been the strategy of choice. But in this paper I raise a problem for such accounts. While this does not seem to have been recognized before, it would seem to render existing such accounts inadequate. The main purpose of the paper, however, is to provide a (...)
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  • Putnam, G Del and mathematical realism.Alan Weir - 1993 - International Journal of Philosophical Studies 1 (2):255 – 285.
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  • Have your cake and eat it too: The old principal principle reconciled with the new.Peter B. M. Vranas - 2004 - Philosophy and Phenomenological Research 69 (2):368–382.
    David Lewis (1980) proposed the Principal Principle (PP) and a “reformulation” which later on he called ‘OP’ (Old Principle). Reacting to his belief that these principles run into trouble, Lewis (1994) concluded that they should be replaced with the New Principle (NP). This conclusion left Lewis uneasy, because he thought that an inverse form of NP is “quite messy”, whereas an inverse form of OP, namely the simple and intuitive PP, is “the key to our concept of chance”. I argue (...)
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  • A generalized quantifier logic for naked infinitives.Jaap van der Does - 1991 - Linguistics and Philosophy 14 (3):241-294.
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  • Paradoxes of intensionality.Dustin Tucker & Richmond H. Thomason - 2011 - Review of Symbolic Logic 4 (3):394-411.
    We identify a class of paradoxes that is neither set-theoretical nor semantical, but that seems to depend on intensionality. In particular, these paradoxes arise out of plausible properties of propositional attitudes and their objects. We try to explain why logicians have neglected these paradoxes, and to show that, like the Russell Paradox and the direct discourse Liar Paradox, these intensional paradoxes are recalcitrant and challenge logical analysis. Indeed, when we take these paradoxes seriously, we may need to rethink the commonly (...)
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  • Intensionality and paradoxes in ramsey’s ‘the foundations of mathematics’.Dustin Tucker - 2010 - Review of Symbolic Logic 3 (1):1-25.
    In , Frank Ramsey separates paradoxes into two groups, now taken to be the logical and the semantical. But he also revises the logical system developed in Whitehead and Russellthe intensional paradoxess interest in these problems seriously, then the intensional paradoxes deserve more widespread attention than they have historically received.
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  • A Counterfactual Analysis of Infinite Regress Arguments.İskender Taşdelen - 2014 - Acta Analytica 29 (2):195-213.
    I propose a counterfactual theory of infinite regress arguments. Most theories of infinite regress arguments present infinite regresses in terms of indicative conditionals. These theories direct us to seek conditions under which an infinite regress generates an infinite inadmissible set. Since in ordinary language infinite regresses are usually expressed by means of infinite sequences of counterfactuals, it is natural to expect that an analysis of infinite regress arguments should be based on a theory of counterfactuals. The Stalnaker–Lewis theory of counterfactuals, (...)
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  • Deixis (even without pointing).Una Stojnic, Matthew Stone & Ernie Lepore - 2013 - Philosophical Perspectives 27 (1):502-525.
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  • Paradoxes of denotation.Keith Simmons - 1994 - Philosophical Studies 76 (1):71 - 106.
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  • Deflationary truth and the liar.Keith Simmons - 1999 - Journal of Philosophical Logic 28 (5):455-488.
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  • Situation Pronouns in Determiner Phrases.Florian Schwarz - 2012 - Natural Language Semantics 20 (4):431-475.
    It is commonly argued that natural language has the expressive power of quantifying over intensional entities, such as times, worlds, or situations. A standard way of modelling this assumes that there are unpronounced but syntactically represented variables of the corresponding type. Not all that much as has been said, however, about the exact syntactic location of these variables. Meanwhile, recent work has highlighted a number of problems that arise because the interpretive options for situation pronouns seem to be subject to (...)
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  • Qal wa- omer and Theory of Massive-Parallel Proofs.Andrew Schumann - 2011 - History and Philosophy of Logic 32 (1):71-83.
    In this article, the author attempts to explicate the notion of the best known Talmudic inference rule called qal wa- omer. He claims that this rule assumes a massive-parallel deduction, and for formalizing it, he builds up a case of massive-parallel proof theory, the proof-theoretic cellular automata, where he draws conclusions without using axioms.
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  • Preface.Andrew Schumann - 2011 - History and Philosophy of Logic 32 (1):1-8.
    In this article, the author attempts to explicate the notion of the best known Talmudic inference rule called qal wa-omer. He claims that this rule assumes a massive-parallel deduction, and for formalizing it, he builds up a case of massive-parallel proof theory, the proof-theoretic cellular automata, where he draws conclusions without using axioms.
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  • Contextual-Hierarchical Reconstructions of the Strengthened Liar Problem.Christine Schurz - 2015 - Journal of Philosophical Logic 44 (5):517-550.
    In this paper we shall introduce two types of contextual-hierarchical approaches to the strengthened liar problem. These approaches, which we call the ‘standard’ and the ‘alternative’ ch-reconstructions of the strengthened liar problem, differ in their philosophical view regarding the nature of truth and the relation between the truth predicates T r n and T r n+1 of different hierarchy-levels. The basic idea of the standard ch-reconstruction is that the T r n+1-schema should hold for all sentences of \. In contrast, (...)
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  • Contextualism, Relativism and the Liar.Gil Sagi - 2017 - Erkenntnis 82 (4):913-928.
    Contextualist theories of truth appeal to context to solve the liar paradox: different stages of reasoning occur in different contexts, and so the contradiction is dispelled. The word ‘true’ is relativized by the contextualists to contexts of use. This paper shows that contextualist approaches to the liar are committed to a form of semantic relativism: that the truth value of some sentences depends on the context of assessment, as well as the context of use. In particular, it is shown how (...)
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  • Towards a Non-classical Meta-theory for Substructural Approaches to Paradox.Lucas Rosenblatt - 2021 - Journal of Philosophical Logic 50 (5):1007-1055.
    In the literature on self-referential paradoxes one of the hardest and most challenging problems is that of revenge. This problem can take many shapes, but, typically, it besets non-classical accounts of some semantic notion, such as truth, that depend on a set of classically defined meta-theoretic concepts, like validity, consistency, and so on. A particularly troubling form of revenge that has received a lot of attention lately involves the concept of validity. The difficulty lies in that the non-classical logician cannot (...)
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  • Platitudes against paradox.Sven Rosenkranz & Arash Sarkohi - 2006 - Erkenntnis 65 (3):319 - 341.
    We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry’s (...)
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  • Platitudes against Paradox.Sven Rosenkranz & Arash Sarkohi - 2007 - Erkenntnis 65 (3):319-341.
    We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry's (...)
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  • Histoire de la logique floue une approche sociologique des pratiques de démonstration.Claude Rosental - 1998 - Revue de Synthèse 119 (4):575-602.
    Cet article aborde la question générale du développement d'une histoire sociale des mathématiques et de la logique, à partir d'un cas historique. Il vise à rendre compte de certains traits de l'histoire récente de la logique floue. À cette fin, il met en oeuvre une sociologie des pratiques de démonstration et une approche fondée sur l'analyse matérielle du travail logique, notamment de l'activité d'écriture et de lecture. Il esquisse la construction d'une histoire sociale des formes de démonstration.
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  • Response to Heck.David Ripley - 2012 - Thought: A Journal of Philosophy 1 (4):254-257.
    In Heck, Richard Heck presents variants on the familiar liar paradox, intended to reveal limitations of theories of transparent truth. But all existing theories of transparent truth can respond to Heck's variants in just the same way they respond to the liar. These new variants thus put no new pressure on theories of transparent truth.
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  • Conservatively extending classical logic with transparent truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
    This paper shows how to conservatively extend classical logic with a transparent truth predicate, in the face of the paradoxes that arise as a consequence. All classical inferences are preserved, and indeed extended to the full (truth—involving) vocabulary. However, not all classical metainferences are preserved; in particular, the resulting logical system is nontransitive. Some limits on this nontransitivity are adumbrated, and two proof systems are presented and shown to be sound and complete. (One proof system allows for Cut—elimination, but the (...)
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  • Deviant logic and the paradoxes of self reference.Greg Restall - 1993 - Philosophical Studies 70 (3):279 - 303.
    The paradoxes of self reference have to be dealt with by anyone seeking to give a satisfactory account of the logic of truth, of properties, and even of sets of numbers. Unfortunately, there is no widespread agreement as to how to deal with these paradoxes. Some approaches block the paradoxical inferences by rejecting as invalid a move that classical logic counts as valid. In the recent literature, this deviant logic analysis of the paradoxes has been called into question.This disagreement motivates (...)
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  • Millikan’s Theory of Signs. [REVIEW]François Recanati - 2007 - Philosophy and Phenomenological Research 75 (3):674–681.
    Review of Millikan's book Varieties of Meaning (MIT Press/Bradford Books, 2004).
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  • Domains of discourse.François Recanati - 1996 - Linguistics and Philosophy 19 (5):445 - 475.
    In the first part of this paper I present a defence of the Austinian semantic approach to incomplete quantifiers and similar phenomena (section 2-4). It is part of my defence of Austinian semantics that it incorporates a cognitive dimension (section 4). This cognitive dimension makes it possible to connect Austinian semantics to various cognitive theories of discourse interpretation. In the second part of the paper (sections 5-7), I establish connections between Austinian semantics and four particular theories: • the theory of (...)
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  • Another disguise of the same fundamental problems: Barwise and Etchemendy on the liar.Graham Priest - 1993 - Australasian Journal of Philosophy 71 (1):60 – 69.
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  • Are Propositions Essentially Representational?Bryan Pickel - 2017 - Pacific Philosophical Quarterly 98 (3).
    Jeffrey King argues that nothing has truth conditions except by being taken to be true or false by rational agents. But – for good reason – King claims that propositions possess truth conditions essentially and intrinsically. I will argue that King cannot have both: if the truth conditions of a proposition depend on the reactions of rational agents, then the possession of truth conditions can't follow from the intrinsic nature or existence of the proposition. This leaves two options. Either, nothing (...)
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  • Vier Philosophen über semantische Paradoxien.Ulrich Nortmann - 1995 - History and Philosophy of Logic 16 (2):217-244.
    In his treatise on sophisms, the medieval logician and philosopher J. Buridan expounded a theory on what we have come to call semantic paradoxes. His theory has not yet been fully understood. The present paper aims at showing that Barwise's and Etchemendy's considerations on paradoxes (founded upon Aczel's non-well-founded sets) provide the framework for an improved understanding. Barwise's and Etchemendy's account is contrasted with Kripke's. Finally, a recent analysis of Buridan's position by Epstein is criticized.
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  • The Chrysippus intuition and contextual theories of truth.Jay Newhard - 2009 - Philosophical Studies 142 (3):345-352.
    Contextual theories of truth are motivated primarily by the resolution they provide to paradoxical reasoning about truth. The principal argument for contextual theories of truth relies on a key intuition about the truth value of the proposition expressed by a particular utterance made during paradoxical reasoning, which Anil Gupta calls “the Chrysippus intuition.” In this paper, I argue that the principal argument for contextual theories of truth is circular, and that the Chrysippus intuition is false. I conclude that the philosophical (...)
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  • Sense and the computation of reference.Reinhard Muskens - 2004 - Linguistics and Philosophy 28 (4):473 - 504.
    The paper shows how ideas that explain the sense of an expression as a method or algorithm for finding its reference, preshadowed in Frege’s dictum that sense is the way in which a referent is given, can be formalized on the basis of the ideas in Thomason (1980). To this end, the function that sends propositions to truth values or sets of possible worlds in Thomason (1980) must be replaced by a relation and the meaning postulates governing the behaviour of (...)
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  • The intoxicating effects of conciliatory omniscience.David McElhoes - 2020 - Philosophical Studies 178 (7):2151-2167.
    The coherence of omniscience is sometimes challenged using self-referential sentences like, “No omniscient entity knows that which this very sentence expresses,” which suggest that there are truths which no omniscient entity knows. In this paper, I consider two strategies for addressing these challenges: The Common Strategy, which dismisses such self-referential sentences as meaningless, and The Conciliatory Strategy, which discounts them as quirky outliers with no impact on one’s status as being omniscient. I argue that neither strategy succeeds. The Common Strategy (...)
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  • On meaningfulness and truth.BrianEdison McDonald - 2000 - Journal of Philosophical Logic 29 (5):433-482.
    We show how to construct certain L M, T -type interpreted languages, with each such language containing meaningfulness and truth predicates which apply to itself. These languages are comparable in expressive power to the L T -type, truth-theoretic languages first considered by Kripke, yet each of our L M, T -type languages possesses the additional advantage that, within it, the meaninglessness of any given meaningless expression can itself be meaningfully expressed. One therefore has, for example, the object level truth (and (...)
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  • On Meaningfulness and Truth.Brian Edison McDonald - 2000 - Journal of Philosophical Logic 29 (5):433 - 482.
    We show how to construct certain " $[Unrepresented Character]_{M,T}$ -type" interpreted languages, with each such language containing meaningfulness and truth predicates which apply to itself. These languages are comparable in expressive power to the $[Unrepresented Character]_{T}$ -type, truth-theoretic languages first considered by. Kripke, yet each of our $[Unrepresented Character]_{M,T}$ -type languages possesses the additional advantage that, within it, the meaninglessness of any given meaningless expression can itself be meaningfully expressed. One therefore has, for example, the object level truth (and meaningfulness) (...)
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  • What the liar taught Achilles.Gary Mar & Paul St Denis - 1999 - Journal of Philosophical Logic 28 (1):29-46.
    Zeno's paradoxes of motion and the semantic paradoxes of the Liar have long been thought to have metaphorical affinities. There are, in fact, isomorphisms between variations of Zeno's paradoxes and variations of the Liar paradox in infinite-valued logic. Representing these paradoxes in dynamical systems theory reveals fractal images and provides other geometric ways of visualizing and conceptualizing the paradoxes.
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  • General information in relevant logic.Edwin D. Mares - 2009 - Synthese 167 (2):343-362.
    This paper sets out a philosophical interpretation of the model theory of Mares and Goldblatt (The Journal of Symbolic Logic 71, 2006). This interpretation distinguishes between truth conditions and information conditions. Whereas the usual Tarskian truth condition holds for universally quantified statements, their information condition is quite different. The information condition utilizes general propositions . The present paper gives a philosophical explanation of general propositions and argues that these are needed to give an adequate theory of general information.
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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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  • François Recanati's Oratio Obliqua, Oratio Recta: An Essay on Metarepresentation[REVIEW]Kirk Ludwig - 2003 - Philosophy and Phenomenological Research 66 (2):481-488.
    The book is divided into twenty chapters, divided in turn into six parts. Parts I-III contain the main positive account of metarepresentations. The main semantic thesis of parts I-III is that metarepresentational sentences are not relational, but involve a metarepresentational operator applied to a sentence which functions in its usual way, but which is evaluated relative to a “shifted circumstance” in use. This is supposed to represent a novel account of the semantics of attitude sentences that preserves “semantic innocence” and (...)
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