Results for 'The liar paradox'

949 found
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  1.  41
    The Liar Paradox and Methods for its Solution.A. I. Uemov - 1977 - Russian Studies in Philosophy 15 (4):92-106.
    There is no need to prove the significance to philosophy of the famous liar paradox. Attempts to solve it have not ceased over the course of many centuries, from hoary antiquity to our own day. The failure of attempts undertaken within the bounds of everyday, natural languages has led many philosophers, particularly of the positivist trend, to pessimistic conclusions with respect to the potentials of such languages. This is very clearly evident, for example, in the statement of A. (...)
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  2.  34
    The Liar Paradox in Plato.Richard McDonough - 2015 - Meta: Research in Hermeneutics, Phenomenology, and Practical Philosophy (1):9-28.
    Although most scholars trace the Liar Paradox to Plato’s contemporary, Eubulides, the paper argues that Plato builds something very like the Liar Paradox into the very structure of his dialogues with significant consequences for understanding his views. After a preliminary exposition of the liar paradox it is argued that Plato builds this paradox into the formulation of many of his central doctrines, including the “Divided Line” and the “Allegory of the Cave” and the (...)
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  3. 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 (...)
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  4.  14
    Diagonalization, the Liar Paradox, and the Inconsistency of the Formal System Presented in the Appendix to Frege’s Grundgesetze: Volume II.Roy T. Cook - 2009 - In Alexander Hieke & Hannes Leitgeb, Reduction, abstraction, analysis: proceedings of the 31th International Ludwig Wittgenstein-Symposium in Kirchberg, 2008. Frankfurt: de Gruyter. pp. 273-288.
  5. The Liar Paradox - A Case of Mistaken Truth Attribution.Jasper Doomen - 2023 - Axiomathes 33 (1):1-11.
    A semantic solution to the liar paradox (“This statement is not true”) is presented in this article. Since the liar paradox seems to evince a contradiction, the principle of non-contradiction is preliminarily discussed, in order to determine whether dismissing this principle may be reason enough to stop considering the liar paradox a problem. No conclusive outcome with respect to the value of this principle is aspired to here, so that the inquiry is not concluded (...)
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  6. The Liar Paradox and the Stoics.Mario Mignucci - 1998 - In Katerina Ierodiakonou, Topics in Stoic Philosophy. New York: Oxford University Press UK.
     
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  7.  81
    (1 other version)The Liar Paradox in the predictive mind.Christian Michel - 2019 - Pragmatics and Cognition 26 (2-3):239-266.
    Most discussions frame the Liar Paradox as a formal logical-linguistic puzzle. Attempts to resolve the paradox have focused very little so far on aspects of cognitive psychology and processing, because semantic and cognitive-psychological issues are generally assumed to be disjunct. I provide a motivation and carry out a cognitive-computational treatment of the liar paradox based on a cognitive-computational model of language and conceptual knowledge within the Predictive Processing framework. I suggest that the paradox arises (...)
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  8.  60
    Logic, Language, and the Liar Paradox.Martin Pleitz - 2018 - Münster: Mentis. Edited by Rosemarie Rheinwald.
    The Liar paradox arises when we consider a sentence that says of itself that it is not true. If such self-referential sentences exist? and examples like?This sentence is not true? certainly suggest this?, then our logic and standard notion of truth allow to infer a contradiction: The Liar sentence is true and not true. What has gone wrong? Must we revise our notion of truth and our logic? Or can we dispel the common conviction that there are (...)
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  9. Buridan's Solution to the Liar Paradox.Yann Benétreau-Dupin - 2015 - History and Philosophy of Logic 36 (1):18-28.
    Jean Buridan has offered a solution to the Liar Paradox, i.e. to the problem of assigning a truth-value to the sentence ‘What I am saying is false’. It has been argued that either this solution is ad hoc since it would only apply to self-referencing sentences [Read, S. 2002. ‘The Liar Paradox from John Buridan back to Thomas Bradwardine’, Vivarium, 40 , 189–218] or else it weakens his theory of truth, making his ‘a logic without truth’ (...)
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  10.  83
    The liar paradox in fifteenth-century Shiraz: the exchange between Ṣadr al-Dīn al-Dashtakī and Jalāl al-Dīn al-Dawānī.Khaled El-Rouayheb - 2020 - British Journal for the History of Philosophy 28 (2):251-275.
    ABSTRACTTwo rival scholars from Shiraz in Persia, Dawānī and Dashtakī engaged in a bitter and extended dispute over a range of metaphysical and logical issues. One of these was the liar paradox. Their debate on this point marked the most extensive scrutiny of the paradox in Arabic until that time. Dashtakī’s solution was to deny that the statement ‘What I say is false’ is true or false, on the ground that there is one statement and one application (...)
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  11. Buddhist Epistemology and the Liar Paradox.Szymon Bogacz - 2024 - Australasian Journal of Philosophy 102 (1):206-220.
    The liar paradox is still an open philosophical problem. Most contemporary answers to the paradox target the logical principles underlying the reasoning from the liar sentence to the paradoxical conclusion that the liar sentence is both true and false. In contrast to these answers, Buddhist epistemology offers resources to devise a distinctively epistemological approach to the liar paradox. In this paper, I mobilise these resources and argue that the liar sentence is what (...)
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  12.  39
    The Liar Paradox: An Extensional Alternative to the Situation Semantics Approach.Ulla Wessels & Georg Meggle - 1994 - In Georg Meggle & Ulla Wessels, Analyōmen 1 =. New York: W. de Gruyter. pp. 421-433.
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  13.  53
    The Liar Paradox: Between Evidence and Truth.Jonas Becker Arenhart & Ederson Safra Melo - 2022 - Logic and Logical Philosophy 31 (2):289-311.
    Systems of paraconsistent logics violate the law of explosion: from contradictory premises not every formula follows. One of the philosophical options for interpreting the contradictions allowed as premises in these cases was put forward recently by Carnielli and Rodrigues, with their epistemic approach to paraconsistent logics. In a nutshell, the plan consists in interpreting the contradictions in epistemic terms, as indicating the presence of non-conclusive evidence for both a proposition and its negation. Truth, in this approach, is consistent and is (...)
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  14. The Liar Paradox, Self-Understanding, and Nietzschean Perspectivalism.Andrew J. Hamilton - 2002 - Dissertation, University of Illinois at Chicago
    The liar paradox in its simplest form is the following argument. Consider the sentence 'this sentence is false'; call that the "liar sentence". Suppose the liar sentence is true. Then, since it says it is false, the liar sentence is false. So our supposition that it is true was mistaken, and the liar sentence must be false. But that's precisely what the liar sentence says, so it is true after all. The liar (...)
     
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  15. The liar-paradox in a quantum mechanical perspective.Diederik Aerts, Jan Broekaert & Sonja Smets - 1999 - Foundations of Science 4 (2):115-132.
    In this paper we concentrate on the nature of the liar paradox asa cognitive entity; a consistently testable configuration of properties. We elaborate further on a quantum mechanical model (Aerts, Broekaert and Smets, 1999) that has been proposed to analyze the dynamics involved, and we focus on the interpretation and concomitant philosophical picture. Some conclusions we draw from our model favor an effective realistic interpretation of cognitive reality.
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  16.  34
    The Liar paradox is a Real Problem.Nik Weaver - 2017 - Annals of the Japan Association for Philosophy of Science 25:89-100.
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  17. The liar paradox in new clothes.Jeff Snapper - 2012 - Analysis 72 (2):319-322.
    Next SectionCharlie Pelling presents an impropriety paradox for the truth account of assertion. After solving his paradox I show that it is a version of the liar paradox. I then show that for any account of truth there is a strengthened liar-like paradox, and that for any solution to the strengthened liar paradox, there is a parallel solution to each of these “new” paradoxes.
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  18. (1 other version)The liar paradox, expressibility, possible languages.Matti Eklund - 2007 - In J. C. Beall, The Revenge of the Liar: New Essays on the Paradox. Oxford, England: Oxford University Press UK.
    Here is the liar paradox. We have a sentence, (L), which somehow says of itself that it is false. Suppose (L) is true. Then things are as (L) says they are. (For it would appear to be a mere platitude that if a sentence is true, then things are as the sentence says they are.) (L) says that (L) is false. So, (L) is false. Since the supposition that (L) is true leads to contradiction, we can assert that (...)
     
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  19.  24
    Situations and the Liar Paradoxes.Guilherme Araújo Cardoso - 2018 - Principia: An International Journal of Epistemology 22 (1):35-57.
    In this paper we intend to outline an introduction to Situation Theory as an approach to the liar paradoxes. This idea was first presented by the work of Barwise and Etchemendy ). First we introduce the paradoxes in their most appealing and important versions. Second we show that non-classical approaches on the problem usually get puzzled by the revenge problem on one side and loss of expressive power on the other side. Last, we present Situation Theory and try to (...)
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  20.  24
    The many faces of the Liar Paradox.José Martínez-Fernández & Sergi Oms - 2024 - Principia: An International Journal of Epistemology 28 (1):15-21.
    The Liar Paradox is a classic argument that creates a contradiction by reflection on a sentence that attributes falsity to itself: ‘this sentence is false’. In our paper we will discuss the ways in which the Liar sentence (and its paradoxical argument) can be represented in first-order logic. The key to the representation is to use first-order logic to model a self-referential language. We will also discuss several related sentences, like the Liar cycles, the empirical versions (...)
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  21. Al-Taftāzānī on the Liar Paradox.David Sanson & Ahmed Alwishah - 2016 - Oxford Studies in Medieval Philosophy 4 (1).
    Al-Taftāzānī introduces the Liar Paradox, in a commentary on al-Rāzī, in a short passage that is part of a polemic against the ethical rationalism of the Muʿtazila. In this essay, we consider his remarks and their place in the history of the Liar Paradox in Arabic Logic. In the passage, al-Taftāzānī introduces Liar Cycles into the tradition, gives the paradox a puzzling name—the fallacy of the “irrational root” —which became standard, and suggests a connection (...)
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  22.  83
    Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto, 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 (...)
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  23.  58
    (1 other version)Abharī’s Solution to the Liar Paradox: A Logical Analysis.Mohammad Saleh Zarepour - 2021 - History and Philosophy of Logic 42 (1):1-16.
    The medieval Islamic solutions to the liar paradox can be categorized into three different families. According to the solutions of the first family, the liar sentences are not well-formed truth-apt sentences. The solutions of the second family are based on a violation of the classical principles of logic (e.g. the principle of non-contradiction). Finally, the solutions of the third family render the liar sentences as simply false without any contradiction. In the Islamic tradition, almost all the (...)
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  24. The liar paradox and the inclosure schema.Emil Badici - 2008 - Australasian Journal of Philosophy 86 (4):583 – 596.
    In Beyond the Limits of Thought [2002], Graham Priest argues that logical and semantic paradoxes have the same underlying structure (which he calls the Inclosure Schema ). He also argues that, in conjunction with the Principle of Uniform Solution (same kind of paradox, same kind of solution), this is sufficient to 'sink virtually all orthodox solutions to the paradoxes', because the orthodox solutions to the paradoxes are not uniform. I argue that Priest fails to provide a non-question-begging method to (...)
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  25.  74
    Psychophysiological approach to the Liar paradox: Jean Buridan’s virtual entailment principle put to the test.Konrad Rudnicki & Piotr Łukowski - 2019 - Synthese 198 (S22):5573-5592.
    This article presents an empirical examination of the consequences of the virtual entailment principle proposed by Jean Buridan to resolve the Liar paradox. This principle states that every sentence in natural language implicitly asserts its own truth. Adopting this principle means that the Liar sentence is not paradoxical but false, because its content is contradictory to what is virtually implied. As a result, humans should perceive the Liar sentence the same way as any other false sentence. (...)
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  26. The Liar Paradox.JC Beall & Michael Glanzberg - 2012 - In Ed Zalta, Stanford Encyclopedia of Philosophy. Stanford, CA: Stanford Encyclopedia of Philosophy.
    The first sentence in this essay is a lie. There is something odd about saying so, as has been known since ancient times. To see why, remember that all lies are untrue. Is the first sentence true? If it is, then it is a lie, and so it is not true. Conversely, suppose that it is not true. As we (viz., the authors) have said it, presumably with the intention of you believing it when it is not true, it is (...)
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  27. Analogues of the Liar Paradox in Systems of Epistemic Logic Representing Meta-Mathematical Reasoning and Strategic Rationality in Non-Cooperative Games.Robert Charles Koons - 1987 - Dissertation, University of California, Los Angeles
    The ancient puzzle of the Liar was shown by Tarski to be a genuine paradox or antinomy. I show, analogously, that certain puzzles of contemporary game theory are genuinely paradoxical, i.e., certain very plausible principles of rationality, which are in fact presupposed by game theorists, are inconsistent as naively formulated. ;I use Godel theory to construct three versions of this new paradox, in which the role of 'true' in the Liar paradox is played, respectively, by (...)
     
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  28.  69
    Dashtakī's Solution to the Liar Paradox: A Synthesis of the Earlier Solutions Proposed by Ṭūsī and Samarqandī.Mohammad Saleh Zarepour - 2023 - History and Philosophy of Logic 45 (3):219-245.
    AbstractṢadr al-Dīn al-Dashtakī (d. 1498) has proposed a solution to the liar paradox according to which the liar sentence is a self-referential sentence in which the predicate ‘false’ is iterated. Discussing the conditions for the truth-aptness of the sentences with nested and iterated instances of the predicates ‘true’ and/or ‘false’, Dashtakī argued that the liar sentence is not truth-apt at all. In the tradition of Arabic logic, the central elements of Dashtakī's solution—the self-referentiality of the (...) sentence and the implicit iteration of the predicate ‘false’—were initially highlighted in two earlier solutions proposed by Naṣīr al-Dīn al-Ṭūsī (d. 1274) and Shams al-Dīn al-Samarqandī (d. 1322), respectively. Here I investigate all three solutions and show that Dashtakī's solution can be taken as a synthesis of the other two. None of these solutions seems to be convincing at the end of the day. Nevertheless, all of them include significant logical and philosophical insights. In particular, although Dashtakī's solution is not itself compelling, it is only a few steps away from a promising solution. The appendix to this paper includes translations of the relevant passages. (shrink)
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  29. The liar paradox.Charles Parsons - 1974 - Journal of Philosophical Logic 3 (4):381 - 412.
  30.  42
    The Liar Paradox.Kuang-Ming Wu - 2015 - Open Journal of Philosophy 5 (5):253-260.
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  31.  7
    Dashtakī's Solution to the Liar Paradox: A Synthesis of the Earlier Solutions Proposed by Ṭūsī and Samarqandī.U. K. Manchester - 2023 - History and Philosophy of Logic 45 (3):219-245.
    AbstractṢadr al-Dīn al-Dashtakī (d. 1498) has proposed a solution to the liar paradox according to which the liar sentence is a self-referential sentence in which the predicate ‘false’ is iterated. Discussing the conditions for the truth-aptness of the sentences with nested and iterated instances of the predicates ‘true’ and/or ‘false’, Dashtakī argued that the liar sentence is not truth-apt at all. In the tradition of Arabic logic, the central elements of Dashtakī's solution—the self-referentiality of the (...) sentence and the implicit iteration of the predicate ‘false’—were initially highlighted in two earlier solutions proposed by Naṣīr al-Dīn al-Ṭūsī (d. 1274) and Shams al-Dīn al-Samarqandī (d. 1322), respectively. Here I investigate all three solutions and show that Dashtakī's solution can be taken as a synthesis of the other two. None of these solutions seems to be convincing at the end of the day. Nevertheless, all of them include significant logical and philosophical insights. In particular, although Dashtakī's solution is not itself compelling, it is only a few steps away from a promising solution. The appendix to this paper includes translations of the relevant passages. (shrink)
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  32. Propositions and the liar paradox.Robert Burch - 1979 - Logique Et Analyse 22 (85):55.
     
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  33. New Considerations on The 'Liar' Paradox.Wojciech Żełaniec - 2004 - Filozofia Nauki 2.
    In this article the author argues that the 'Liar' Paradox sentence: "This sentence is false" is neither true nor false because it does not express any proposition or "Satz" in the sense of Bernard Bolzano. The difficulty left open is that by a similar line of reasoning also the sentence "This sentence is true" would not express any proposition, yet it is sometimes taken to be true (on the strength of a theorem by Loewe).
     
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  34.  9
    Linguistics, Logic and the Liar Paradox. Comments on the Article by A. Gawroński ”The ’liar sentence’ as a Recurring Sentence Function (’the Polish Solution’)”.Jan Woleński - 2004 - Studia Semiotyczne—English Supplement 25:10-20.
    There are many versions of the Liar Paradox. J. Agassi names 13 of them. But the most important one is related to Tarski’s theorem that the truth predicate is non-definable for systems that are sufficient for the formalisation of elementary arithmetic of natural numbers. Let S be such a system. We assume that S is consistent and that the syntax of S has been arithmetized as understood by G¨odel. Let E be any sentence of S. E ∗ is (...)
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  35. The Liar Paradox from John Buridan back to Thomas Bradwardine.Stephen Read - 2002 - Vivarium 40 (2):189-218.
  36.  60
    The Liar Hypodox: A Truth-Teller’s Guide to Defusing Proofs of the Liar Paradox.Peter Eldridge-Smith - 2019 - Open Journal of Philosophy 9 (2):152-171.
    It seems that the Truth-teller is either true or false, but there is no accepted principle determining which it is. From this point of view, the Truth-teller is a hypodox. A hypodox is a conundrum like a paradox, but consistent. Sometimes, accepting an additional principle will convert a hypodox into a paradox. Conversely, in some cases, retracting or restricting a principle will convert a paradox to a hypodox. This last point suggests a new method of avoiding inconsistency. (...)
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  37. Read on Bradwardine on the Liar Paradox.David Miller - unknown
    The thesis of the present note is that the resemblance between Bradwardine’s highly instructive definition of truth, and what emerges from Tarski’s method of defining truth, is much closer than Read’s discussion reveals. Each approach, however, has serious defects.
     
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  38. The liar paradox, meaning and truth.Jiri Raclavsky - 2009 - Filosoficky Casopis 57 (3):325-351.
     
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  39. Hegel’s Interpretation of the Liar Paradox.Franca D’Agostini & Elena Ficara - 2021 - History and Philosophy of Logic 43 (2):105-128.
    In his Lectures on the History of Philosophy, Hegel develops a subtle analysis of Megarian paradoxes: the Liar, the Veiled Man and the Sorites. In this paper, we focus on Hegel's interpretation of...
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  40. The liar paradox and fuzzy logic.Petr Hájek, Jeff Paris & John Shepherdson - 2000 - Journal of Symbolic Logic 65 (1):339-346.
    Can one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying "x is true" and satisfying the "dequotation schema" $\varphi \equiv \text{Tr}(\bar{\varphi})$ for all sentences φ? This problem is investigated in the frame of Lukasiewicz infinitely valued logic.
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  41.  28
    Mr. Eric Toms on the liar paradox.Sibajiban Sibajiban - 1965 - Mind 74 (295):421-423.
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  42. Freeing assumptions from the Liar paradox.Stephen Read - 2003 - Analysis 63 (2):162-166.
  43. Free assumptions and the liar paradox.Patrick Greenough - 2001 - American Philosophical Quarterly 38 (2):115 - 135.
    A new solution to the liar paradox is developed using the insight that it is illegitimate to even suppose (let alone assert) that a liar sentence has a truth-status (true or not) on the grounds that supposing this sentence to be true/not-true essentially defeats the telos of supposition in a readily identifiable way. On that basis, the paradox is blocked by restricting the Rule of Assumptions in Gentzen-style presentations of the sequent-calculus. The lesson of the (...) is that not all assumptions are for free. One merit of this proposal is that it is free from the revenge problem. (shrink)
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  44. Recalcitrant variants of the liar paradox.Michael Clark - 1999 - Analysis 59 (2):117-126.
  45.  93
    The liar paradox: Tangles and chains.Tyler Burge - 1982 - Philosophical Studies 41 (3):353 - 366.
  46.  74
    Two Fallacies in Proofs of the Liar Paradox.Peter Eldridge-Smith - 2020 - Philosophia 48 (3):947-966.
    At some step in proving the Liar Paradox in natural language, a sentence is derived that seems overdetermined with respect to its semantic value. This is complemented by Tarski’s Theorem that a formal language cannot consistently contain a naive truth predicate given the laws of logic used in proving the Liar paradox. I argue that proofs of the Eubulidean Liar either use a principle of truth with non-canonical names in a fallacious way or make a (...)
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  47.  36
    Origen and Basil of Caesarea on the Liar Paradox.Mark DelCogliano - 2011 - Augustinianum 51 (2):349-365.
    Both Origen and Basil of Caesarea report that some people saw Ps. 115,2 LXX – “ I said in my alarm, ' Every human being is a liar ' ” -- as an expression of the Liar Paradox and formulated a version of the paradox based upon it. But Ps. 115,2 is actually not susceptible to the Liar paradox, despite Origen and Basil believing it to be so. Not realizing this, both sought to undermine (...)
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  48. The formal structure of the liar paradox.G. Hunt - 1986 - Logique Et Analyse 29 (15):349.
     
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  49.  32
    The Meaning of the Liar Paradox in Randall Jarrell's "Eighth Air Force".Richard McDonough - 2022 - Philosophy and Literature 46 (1):195-207.
    Do logical paradoxes, like Eubulides’s Liar Paradox (the claim that the sentence “I am now lying” is true if and only if it is false), have any “existential” significance or are they mere brain puzzles for the mathematically minded? The paper argues that Randall Jarrell’s poem, “Eighth Air Force”, contains a poetic use of Eubulides’ Liar Paradox, spoken by Pontius Pilate’s wife in her statements about the “murder” of Jesus, in order to capture, symbolically, the inherent (...)
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  50.  98
    A note on the liar-paradox.A. P. Ushenko - 1955 - Mind 64 (256):543.
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