Results for 'revenge paradox'

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  1. Can the Classical Logician Avoid the Revenge Paradoxes?Andrew Bacon - 2015 - Philosophical Review 124 (3):299-352.
    Most work on the semantic paradoxes within classical logic has centered around what this essay calls “linguistic” accounts of the paradoxes: they attribute to sentences or utterances of sentences some property that is supposed to explain their paradoxical or nonparadoxical status. “No proposition” views are paradigm examples of linguistic theories, although practically all accounts of the paradoxes subscribe to some kind of linguistic theory. This essay shows that linguistic accounts of the paradoxes endorsing classical logic are subject to a particularly (...)
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  2.  71
    Model-theoretic semantics and revenge paradoxes.Lorenzo Rossi - 2019 - Philosophical Studies 176 (4):1035-1054.
    Revenge arguments purport to show that any proposed solution to the semantic paradoxes generates new paradoxes that prove that solution to be inadequate. In this paper, I focus on revenge arguments that employ the model-theoretic semantics of a target theory and I argue, contra the current revenge-theoretic wisdom, that they can constitute genuine expressive limitations. I consider the anti-revenge strategy elaborated by Field and argue that it does not offer a way out of the revenge (...)
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  3. Revenge of the liar: new essays on the paradox.J. C. Beall (ed.) - 2007 - New York: Oxford University Press.
    The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since (...)
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  4.  73
    Paradox, Repetition, Revenge.Keith Simmons - 2015 - Topoi 34 (1):121-131.
    I argue for an account of semantic paradox that requires minimal logical revision. I first consider a phenomenon that is common to the paradoxes of definability, Russell’s paradox and the Liar. The phenomenon—which I call Repetition—is this: given a paradoxical expression, we can go on to produce a semantically unproblematic expression composed of the very same words. I argue that Kripke’s and Field’s theories of truth make heavy weather of Repetition, and suggest a simpler contextual account. I go (...)
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  5.  24
    The Revenge of the Liar: New Essays on the Paradox.J. C. Beall (ed.) - 2007 - Oxford, England: Oxford University Press UK.
    The Liar paradox raises foundational questions about logic, language, and truth. A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says that it is (...)
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  6. A revenge-immune solution to the semantic paradoxes.Hartry Field - 2003 - Journal of Philosophical Logic 32 (2):139-177.
    The paper offers a solution to the semantic paradoxes, one in which (1) we keep the unrestricted truth schema “True(A)↔A”, and (2) the object language can include its own metalanguage. Because of the first feature, classical logic must be restricted, but full classical reasoning applies in “ordinary” contexts, including standard set theory. The more general logic that replaces classical logic includes a principle of substitutivity of equivalents, which with the truth schema leads to the general intersubstitutivity of True(A) with A (...)
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  7. 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 (...)
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  8.  98
    Curry's revenge: the costs of non-classical solutions to the paradoxes of self-reference.Greg Restall - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
    The paradoxes of self-reference are genuinely paradoxical. The liar paradox, Russell’s paradox and their cousins pose enormous difficulties to anyone who seeks to give a comprehensive theory of semantics, or of sets, or of any other domain which allows a modicum of self-reference and a modest number of logical principles. One approach to the paradoxes of self-reference takes these paradoxes as motivating a non-classical theory of logical consequence. Similar logical principles are used in each of the paradoxical inferences. (...)
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  9. Solving the paradoxes, escaping revenge.Hartry Field - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
    It is “the received wisdom” that any intuitively natural and consistent resolution of a class of semantic paradoxes immediately leads to other paradoxes just as bad as the first. This is often called the “revenge problem”. Some proponents of the received wisdom draw the conclusion that there is no hope of any natural treatment that puts all the paradoxes to rest: we must either live with the existence of paradoxes that we are unable to treat, or adopt artificial and (...)
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  10.  27
    The revenger's paradox.Sven Ove Hansson - 1991 - Philosophical Studies 61 (3):301 - 305.
  11. Generalized Revenge.Julien Murzi & Lorenzo Rossi - 2020 - Australasian Journal of Philosophy 98 (1):153-177.
    Since Saul Kripke’s influential work in the 1970s, the revisionary approach to semantic paradox—the idea that semantic paradoxes must be solved by weakening classical logic—has been increasingly popular. In this paper, we present a new revenge argument to the effect that the main revisionary approaches breed new paradoxes that they are unable to block.
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  12.  24
    Health promotion—Penrith Paradoxes. From Analysis to Synthesis II—The Revenge. A Report of the Symposium.Lee Adams & Ewan Armstrong - 1996 - Health Care Analysis 4 (2):112-119.
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  13. Absolute Contradiction, Dialetheism, and Revenge.Francesco Berto - 2014 - Review of Symbolic Logic 7 (2):193-207.
    Is there a notion of contradiction—let us call it, for dramatic effect, “absolute”—making all contradictions, so understood, unacceptable also for dialetheists? It is argued in this paper that there is, and that spelling it out brings some theoretical benefits. First it gives us a foothold on undisputed ground in the methodologically difficult debate on dialetheism. Second, we can use it to express, without begging questions, the disagreement between dialetheists and their rivals on the nature of truth. Third, dialetheism has an (...)
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  14.  44
    Reviews revenge of the liar – new essays on the paradoxes edited by J.c. Beall oxford university press, 2007, X + 374 pp., £60 isbn 978-0-19-923391-. [REVIEW]Alex Steinberg - 2009 - Philosophy 84 (3):454-458.
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  15. Solving the paradoxes, escaping revenge.Hartry Field - 2007 - In J. C. Beall (ed.), The Revenge of the Liar: New Essays on the Paradox. Oxford, England: Oxford University Press UK.
     
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  16.  31
    Infinitary Contraction‐Free Revenge.Andreas Fjellstad - 2018 - Thought: A Journal of Philosophy 7 (3):179-189.
    How robust is a contraction-free approach to the semantic paradoxes? This paper aims to show some limitations with the approach based on multiplicative rules by presenting and discussing the significance of a revenge paradox using a predicate representing an alethic modality defined with infinitary rules.
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  17. A Revenge Problem Without the Concept of Truth.Mark Pinder - 2015 - Thought: A Journal of Philosophy 4 (3):151-161.
    The vast majority of putative solutions to the liar paradox face the infamous revenge problem. In recent work, however, Kevin Scharp has extensively developed an exciting and highly novel “inconsistency approach” to the paradox that, he claims, does not face revenge. If Scharp is right, then this represents a significant step forward in our attempts to solve the liar paradox. However, in this paper, I raise a revenge problem that faces Scharp's inconsistency approach.
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  18.  91
    Truth, Revenge, and Internalizability.Kevin Scharp - 2014 - Erkenntnis 79 (S3):597-645.
    Although there has been a recent swell of interest in theories of truth that attempt solutions to the liar paradox and the other paradoxes affecting our concept of truth, many of these theories have been criticized for generating new paradoxes, called revenge paradoxes. The criticism is that the theories of truth in question are inadequate because they only work for languages lacking in the resources to generate revenge paradoxes. Theorists facing these objections offer a range of replies, (...)
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  19. Revenge for Alethic Nihilism.Bradley Armour-Garb & James A. Woodbridge - forthcoming - Journal of Philosophy.
    Note: This is a "pre-review" version, not the final version that will be published. -/- In “Nothing is True,” Will Gamester defends a form of alethic nihilism that still grants truth-talk a kind of legitimacy: an expressive role that is implemented via a pretense. He argues that this view has all of the strengths of deflationism, while also providing an elegant resolution of the Liar Paradox and its kin. For the alethic nihilist, Liar and related sentences are not true, (...)
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  20.  13
    JC BEALL (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford: Oxford University Press, 2007. x+ 374 pp. ISBN 978-0-19-923390-8. [REVIEW]George Englebretsen - 2009 - History and Philosophy of Logic 30 (2):192.
  21. On the metatheory of Field's `Solving the paradoxes, escaping revenge'.Hannes Leitgeb - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
     
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  22. Semantic Paradox and Alethic Undecidability.Stephen Barker - 2014 - Analysis 74 (2):201-209.
    I use the principle of truth-maker maximalism to provide a new solution to the semantic paradoxes. According to the solution, AUS, its undecidable whether paradoxical sentences are grounded or ungrounded. From this it follows that their alethic status is undecidable. We cannot assert, in principle, whether paradoxical sentences are true, false, either true or false, neither true nor false, both true and false, and so on. AUS involves no ad hoc modification of logic, denial of the T-schema's validity, or obvious (...)
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  23. Embracing revenge: on the indefinite extendibility of language.Roy T. Cook - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press. pp. 31.
     
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  24.  88
    Paracompleteness and revenge.B. Burgis - 2011 - Analysis 71 (4):688-689.
    According to ‘paracomplete’ theorists like Hartry Field, there are some sentences (such as sentences that attribute untruth to themselves) about which we should reject the relevant instances of the Law of the Excluded Middle without accepting their negations. The central alleged advantage of this approach over other consistent solutions to the Liar Paradox—for example, the view that Liars have some third truth-value other than ‘true’ or ‘false’—lies in its apparently superior ability to avoid ‘revenge paradoxes’. I argue, however, (...)
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  25. Revenge, Field, and ZF.Graham Priest - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press. pp. 225.
  26. Bertrand's Paradox and the Maximum Entropy Principle.Nicholas Shackel & Darrell P. Rowbottom - 2019 - Philosophy and Phenomenological Research 101 (3):505-523.
    An important suggestion of objective Bayesians is that the maximum entropy principle can replace a principle which is known to get into paradoxical difficulties: the principle of indifference. No one has previously determined whether the maximum entropy principle is better able to solve Bertrand’s chord paradox than the principle of indifference. In this paper I show that it is not. Additionally, the course of the analysis brings to light a new paradox, a revenge paradox of the (...)
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  27.  40
    Non-contractability and Revenge.Julien Murzi & Lorenzo Rossi - 2020 - Erkenntnis 85 (4):905-917.
    It is often argued that fully structural theories of truth and related notions are incapable of expressing a nonstratified notion of defectiveness. We argue that recently much-discussed non-contractive theories suffer from the same expressive limitation, provided they identify the defective sentences with the sentences that yield triviality if they are assumed to satisfy structural contraction.
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  28.  52
    Non-reflexivity and Revenge.Julien Murzi & Lorenzo Rossi - 2021 - Journal of Philosophical Logic 51 (1):201-218.
    We present a revenge argument for non-reflexive theories of semantic notions – theories which restrict the rule of assumption, or initial sequents of the form φ ⊩ φ. Our strategy follows the general template articulated in Murzi and Rossi [21]: we proceed via the definition of a notion of paradoxicality for non-reflexive theories which in turn breeds paradoxes that standard non-reflexive theories are unable to block.
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  29.  55
    Paradoxicality Without Paradox.Lucas Rosenblatt - 2021 - Erkenntnis 88 (3):1347-1366.
    It is not uncommon among theorists favoring a deviant logic on account of the semantic paradoxes to subscribe to an idea that has come to be known as ‘classical recapture’. The main thought underpinning it is that non-classical logicians are justified in endorsing many instances of the classically valid principles that they reject. Classical recapture promises to yield an appealing pair of views: one can attain naivety for semantic concepts while retaining classicality in ordinary domains such as mathematics. However, Julien (...)
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  30. Paradoxical Desires.Ethan Jerzak - 2019 - Proceedings of the Aristotelian Society 119 (3):335-355.
    I present a paradoxical combination of desires. I show why it's paradoxical, and consider ways of responding. The paradox saddles us with an unappealing trilemma: either we reject the possibility of the case by placing surprising restrictions on what we can desire, or we deny plausibly constitutive principles linking desires to the conditions under which they are satisfied, or we revise some bit of classical logic. I argue that denying the possibility of the case is unmotivated on any reasonable (...)
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  31. Reducing revenge to discomfort.Tim Maudlin - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
  32. A paradox of rejection.Thomas N. P. A. Brouwer - 2014 - Synthese 191 (18):4451-4464.
    Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...)
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  33. Validity, paradox, and the ideal of deductive logic.Thomas Hofweber - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
    I express my dissatisfaction with the common ways to treat the semantic paradoxes. Not only do they give rise to revenge paradoxes, they ignore the wisdom contained in the ordinary reaction to paradoxes. I instead propose an account that vindicates the ordinary reaction to paradox by putting the blame on us philosophers. It is the wrong conception of what a valid inference is, one that is central to “the ideal of deductive logic” that gives rise to the problem. (...)
     
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  34.  13
    Semantic Singularities: Paradoxes of Reference, Predication, and Truth.Keith Simmons - 2018 - Oxford, England: Oxford University Press.
    This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Godel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities (...)
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  35.  23
    Review of jc Beall (ed.), Revenge of the Liar: New Essays on the Paradox[REVIEW]Leon Horsten - 2009 - Notre Dame Philosophical Reviews 2009 (5).
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  36. Revenge and context.Keith Simmons - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
     
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  37. Prolegomenon to future revenge.J. C. Beall - 2007 - In Revenge of the Liar: New Essays on the Paradox. Oxford University Press. pp. 1–30.
  38.  27
    Nozick's Revenge.Nigel Walker - 1995 - Philosophy 70 (274):581 - 586.
    When I first came across Robert Nozick′s Philosophical Explanations I was struck by the purity of his justification of punishment. Most latter-day retributivists are crypto-utilitarians, claiming to find some sort of benefit in penalties, even if it is only symbolic. Nozick too sees punishment as symbolic, but not as having any necessary utility. Paradoxically, perhaps, he is one of the few retributivists who insists that it matters what the offender makes of his penalty. Even more interesting is the importance he (...)
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  39. Liar-type paradoxes and intuitionistic natural deduction systems.Seungrak Choi - 2018 - Korean Journal of Logic 21 (1):59-96.
    It is often said that in a purely formal perspective, intuitionistic logic has no obvious advantage to deal with the liar-type paradoxes. In this paper, we will argue that the standard intuitionistic natural deduction systems are vulnerable to the liar-type paradoxes in the sense that the acceptance of the liar-type sentences results in inference to absurdity (⊥). The result shows that the restriction of the Double Negation Elimination (DNE) fails to block the inference to ⊥. It is, however, not the (...)
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  40.  53
    Embracing the technicalities: Expressive completeness and revenge.Nicholas Tourville & Roy T. Cook - 2016 - Review of Symbolic Logic 9 (2):325-358.
    The Revenge Problem threatens every approach to the semantic paradoxes that proceeds by introducing nonclassical semantic values. Given any such collection Δ of additional semantic values, one can construct a Revenge sentence:This sentence is either false or has a value in Δ.TheEmbracing Revengeview, developed independently by Roy T. Cook and Phlippe Schlenker, addresses this problem by suggesting that the class of nonclassical semantic values is indefinitely extensible, with each successive Revenge sentence introducing a new ‘pathological’ semantic value (...)
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  41. A consistent way with paradox.Laurence Goldstein - 2009 - Philosophical Studies 144 (3):377 - 389.
    Consideration of a paradox originally discovered by John Buridan provides a springboard for a general solution to paradoxes within the Liar family. The solution rests on a philosophical defence of truth-value-gaps and is consistent (non-dialetheist), avoids ‘revenge’ problems, imports no ad hoc assumptions, is not applicable to only a proper subset of the semantic paradoxes and implies no restriction of the expressive capacities of language.
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  42. A Unified Theory of Truth and Paradox.Lorenzo Rossi - 2019 - Review of Symbolic Logic 12 (2):209-254.
    The sentences employed in semantic paradoxes display a wide range of semantic behaviours. However, the main theories of truth currently available either fail to provide a theory of paradox altogether, or can only account for some paradoxical phenomena by resorting to multiple interpretations of the language. In this paper, I explore the wide range of semantic behaviours displayed by paradoxical sentences, and I develop a unified theory of truth and paradox, that is a theory of truth that also (...)
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  43. Bradwardine's revenge.Stephen Read - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
  44.  61
    Paradoxes of validity.Keith Simmons - 2021 - Philosophical Studies 179 (2):383-403.
    Consider the following argument written on the board in room 227: 1 = 1. So, the argument on the board in room 227 is not valid. This argument generates a paradox. The aim of this paper is to present a resolution of this paradox and related paradoxes of validity, including a version of the Curry paradox. The proposal stresses the close connections between these validity paradoxes and paradoxes of truth and paradoxes of denotation. So a more general (...)
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  45. Field on revenge.Agustin Rayo & Philip Welch - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
  46.  87
    On the storeyed revenge of strengthened liars, and the contrary finality of no-proposition resolutions.Jordan Howard Sobel - manuscript
    “To this day, partiality approaches to the paradox have been dogged by the so-called ‘Strengthened Liar’. .... The Strengthened Liar observes that if we follow a partiality theorist and declare the Liar sentence* neither true nor false (or failing to express a proposition,. or suffering from some sort of grave semantic defect), then the paradox is only pushed back. For we can go on to conclude that whatever this status may be, it implies that the Liar sentence is (...)
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  47.  36
    Embracing intensionality: Paradoxicality and semi-truth operators in fixed point models.Nicholas Tourville & Roy T. Cook - 2020 - Logic Journal of the IGPL 28 (5):747-770.
    The Embracing Revenge account of semantic paradox avoids the expressive limitations of previous approaches based on the Kripkean fixed point construction by replacing a single language with an indefinitely extensible sequence of languages, each of which contains the resources to fully characterize the semantics of the previous languages. In this paper we extend the account developed in Cook, Cook, Schlenker, and Tourville and Cook via the addition of intensional operators such as ``is paradoxical''. In this extended framework we (...)
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  48. Expressibility and the Liar's Revenge.Lionel Shapiro - 2011 - Australasian Journal of Philosophy 89 (2):297-314.
    There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it (...)
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  49. Burali-Forti's revenge.Stewart Shapiro - 2007 - In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
  50.  68
    Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer. pp. 339-354.
    In this paper we explain our pretense account of truth-talk and apply it in a diagnosis and treatment of the Liar Paradox. We begin by assuming that some form of deflationism is the correct approach to the topic of truth. We then briefly motivate the idea that all T-deflationists should endorse a fictionalist view of truth-talk, and, after distinguishing pretense-involving fictionalism (PIF) from error- theoretic fictionalism (ETF), explain the merits of the former over the latter. After presenting the basic (...)
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