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Journal articles on the topic 'Yablo's paradox'

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Published: 4 June 2021

Last updated: 29 January 2023

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1

Priest, G. "Yablo's paradox." Analysis 57, no. 4 (October 1, 1997): 236–42. http://dx.doi.org/10.1093/analys/57.4.236.

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2

Borisov, Evgeny V. "Is Yablo's Paradox Self-Referential?" Vestnik Tomskogo gosudarstvennogo universiteta. Filosofiya, sotsiologiya, politologiya, no. 50 (August 1, 2019): 233–44. http://dx.doi.org/10.17223/1998863x/50/20.

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3

Hardy, J. "Is Yablo's paradox Liar-like?" Analysis 55, no. 3 (July 1, 1995): 197–98. http://dx.doi.org/10.1093/analys/55.3.197.

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4

Beall, J. "Is Yablo's paradox non-circular?" Analysis 61, no. 3 (July 1, 2001): 176–87. http://dx.doi.org/10.1093/analys/61.3.176.

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5

Ketland, J. "Bueno and Colyvan on Yablo's paradox." Analysis 64, no. 2 (April 1, 2004): 165–72. http://dx.doi.org/10.1093/analys/64.2.165.

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6

Bernardi, Claudio. "A Topological Approach to Yablo's Paradox." Notre Dame Journal of Formal Logic 50, no. 3 (July 2009): 331–38. http://dx.doi.org/10.1215/00294527-2009-014.

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7

Sorensen, R. "Yablo's paradox and kindred infinite liars." Mind 107, no. 425 (January 1, 1998): 137–55. http://dx.doi.org/10.1093/mind/107.425.137.

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8

Cook, Roy T. "Patterns of paradox." Journal of Symbolic Logic 69, no. 3 (September 2004): 767–74. http://dx.doi.org/10.2178/jsl/1096901765.

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We begin with a prepositional language Lp containing conjunction (Λ), a class of sentence names {Sα}αϵA, and a falsity predicate F. We (only) allow unrestricted infinite conjunctions, i.e., given any non-empty class of sentence names {Sβ}βϵB,is a well-formed formula (we will use WFF to denote the set of well-formed formulae).The language, as it stands, is unproblematic. Whether various paradoxes are produced depends on which names are assigned to which sentences. What is needed is a denotation function:For example, the LP sentence “F(S1)” (i.e., Λ{F(S1)}), combined with a denotation function δ such that δ(S1)“F(S1)”, provides the (or, in this context, a) Liar Paradox.To give a more interesting example, Yablo's Paradox [4] can be reconstructed within this framework. Yablo's Paradox consists of an ω-sequence of sentences {Sk}kϵω where, for each n ϵ ω:Within LP an equivalent construction can be obtained using infinite conjunction in place of universal quantification - the sentence names are {Si}iϵω and the denotation function is given by:We can express this in more familiar terms as:etc.

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9

Domanov, Oleg A. "On the Self-Reference of Yablo's Paradox." Vestnik Tomskogo gosudarstvennogo universiteta. Filosofiya, sotsiologiya, politologiya, no. 50 (August 1, 2019): 245–48. http://dx.doi.org/10.17223/1998863x/50/21.

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10

Surovtsev, Valeriy A. "Yablo's Paradox, Self-Reference and Mathematical Induction." Vestnik Tomskogo gosudarstvennogo universiteta. Filosofiya, sotsiologiya, politologiya, no. 50 (August 1, 2019): 262–68. http://dx.doi.org/10.17223/1998863x/50/24.

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11

Bueno, O., and M. Colyvan. "Yablo's Paradox and Referring to Infinite Objects." Australasian Journal of Philosophy 81, no. 3 (September 2003): 402–12. http://dx.doi.org/10.1080/713659707.

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12

Pleitz, Martin. "Paradox as a Guide to Ground." Philosophy 95, no. 2 (April 2020): 185–209. http://dx.doi.org/10.1017/s0031819120000078.

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AbstractI will use paradox as a guide to metaphysical grounding, a kind of non-causal explanation that has recently shown itself to play a pivotal role in philosophical inquiry. Specifically, I will analyze the grounding structure of the Predestination paradox, the regresses of Carroll and Bradley, Russell's paradox and the Liar, Yablo's paradox, Zeno's paradoxes, and a novel omega plus one variant of Yablo's paradox, and thus find reason for the following: We should continue to characterize grounding as asymmetrical and irreflexive. We should change our understanding of the transitivity of grounding in a certain sense. We should require foundationality in a new, generalized sense, that has well-foundedness as its limit case. Meta-grounding is important. The polarity of grounding can be crucial. Thus we will learn a lot about structural properties of grounding from considering the various paradoxes. On the way, grounding will also turn out to be relevant to the diagnosis (if not the solution) of paradox. All the paradoxes under consideration will turn out to be breaches of some standard requirement on grounding, which makes uniform solutions of large groups of these paradoxes more desirable. In sum, bringing together paradox and grounding will be shown to be of considerable value to philosophy.1

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13

Bringsjord, S., and B. V. Heuveln. "The 'mental eye' defence of an infinitized version of Yablo's paradox." Analysis 63, no. 1 (January 1, 2003): 61–70. http://dx.doi.org/10.1093/analys/63.1.61.

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14

Bringsjord, Selmer, and Bram Van Heuveln. "The 'mental eye' defence of an infinitized version of Yablo's paradox." Analysis 63, no. 277 (January 2003): 61–70. http://dx.doi.org/10.1111/j.0003-2638.2003.00397.x.

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15

Nekhaev, Andrei V. "Yablo's Paradox and Circulus Vitiosus: Why Lie about Yourself When You Can Lie About Everyone Else?" Vestnik Tomskogo gosudarstvennogo universiteta. Filosofiya, sotsiologiya, politologiya, no. 50 (August 1, 2019): 255–61. http://dx.doi.org/10.17223/1998863x/50/23.

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16

Shalak, Vladimir I. "On “Yablo’s Paradox: Is the Infinite Liar Lying to Us?” by Andrei V. Nekhaev." Epistemology & Philosophy of Science 56, no. 3 (2019): 103–9. http://dx.doi.org/10.5840/eps201956352.

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It is believed that the paradoxes emerge due to self-reference. The interest to the Yablo’s paradox is caused by the fact that it does not contain direct or indirect self-reference. The analysis of this paradox has the following disadvantages: 1) incorrect retelling of cited sources, including the Yablo’s paradox; 2) attribution to the cited authors of provisions that they did not approve; 3) carelessness in the use of logical symbolism; 4) confusion in terminology related to the concepts of Truth and False; 5) insufficiently substantiated conclusions.

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17

Luna, Laureano. "Yablo’s Paradox and Beginningless Time." Disputatio 3, no. 26 (May 1, 2009): 89–96. http://dx.doi.org/10.2478/disp-2009-0002.

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Abstract The structure of Yablo’s paradox is analysed and generalised in order to show that beginningless step-by-step determination processes can be used to provoke antinomies, more concretely, to make our logical and our ontological intuitions clash. The flow of time and the flow of causality are usually conceived of as intimately intertwined, so that temporal causation is the very paradigm of a step-by-step determination process. As a consequence, the paradoxical nature of beginningless step-by-step determination processes concerns time and causality as usually conceived.

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18

Ketland, Jeffrey. "Yablo’s Paradox and ω-Inconsistency." Synthese 145, no. 3 (July 2005): 295–302. http://dx.doi.org/10.1007/s11229-005-6201-6.

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19

Marton, Peter. "Truth, Meaning, and Yablo’s Paradox – A Moderate Anti-Realist Approach." Southwest Philosophy Review 36, no. 1 (2020): 101–11. http://dx.doi.org/10.5840/swphilreview202036112.

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Yablo’s Paradox, an infinite-sentence version of the Liar Paradox, aims to show that semantic paradox can emerge even without circularity. I will argue that the lack of meaning/content of the sentences involved is the source of the paradoxical outcome.I will introduce and argue for a Moderate Antirealist (MAR) approach to truth and meaning, built around the twin principles that neither truth nor meaning can outstrip knowability. Accordingly, I will introduce a MAR truth operator that both forges an explicit connection between truth and knowability and distinguishes between truth and factuality. I will also argue that the meaning/content of propositions should be identified not with the set of possible worlds in which the propositions are true/factual, but rather in which they are known.I will show that our MAR framework dissolves Yablo’s Paradox and also confirms our intuition that these sentences are all devoid of content/meaning.

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20

Hsiung, Ming. "Equiparadoxicality of Yablo’s Paradox and the Liar." Journal of Logic, Language and Information 22, no. 1 (October 5, 2012): 23–31. http://dx.doi.org/10.1007/s10849-012-9166-0.

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21

Kurahashi, Taishi. "Rosser-Type Undecidable Sentences Based on Yablo’s Paradox." Journal of Philosophical Logic 43, no. 5 (November 16, 2013): 999–1017. http://dx.doi.org/10.1007/s10992-013-9309-z.

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22

Nekhaev, Andrei V. "Yablo’s Paradox: Is the Infinite Liar Lying to Us?" Epistemology & Philosophy of Science 56, no. 3 (2019): 88–102. http://dx.doi.org/10.5840/eps201956351.

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In 1993, the American logic S. Yablo was proposed an original infinitive formulation of the classical ≪Liar≫ paradox. It questioned the traditional notion of self-reference as the basic structure for semantic paradoxes. The article considers the arguments underlying two different approaches to analysis of proposals of the ≪Infinite Liar≫ and understanding of the genuine sources for semantic paradoxes. The first approach (V. Valpola, G.-H. von Wright, T. Bolander, etc.) imposes responsibility for the emergence of semantic paradoxes on the negation of the truth predicate. It deprives the ≪Infinite Liar≫ sentences of consistent truth values. The second approach is based on a modified version of anaphoric prosententialism (D. Grover, R. Brandom, etc.). The concepts of truth and falsehood are treated as special anaphoric operators. Logical constructs similar to the ≪Infinite Liar≫ do not attribute any definite truth values to sentences from which they are composed, but only state certain types of relations between the semantic content of such sentences.

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23

Picollo, Lavinia María. "Yablo’s Paradox in Second-Order Languages: Consistency and Unsatisfiability." Studia Logica 101, no. 3 (October 12, 2012): 601–17. http://dx.doi.org/10.1007/s11225-012-9399-6.

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24

Payne, J. "The Yablo Paradox: An Essay on Circularity." History and Philosophy of Logic 36, no. 2 (February 24, 2015): 188–90. http://dx.doi.org/10.1080/01445340.2015.1008220.

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25

Borisov, Evgeny. "Zeno’s Dichotomy and the Paradox of Logical Causality." ΣΧΟΛΗ. Ancient Philosophy and the Classical Tradition 16, no. 2 (2022): 580–91. http://dx.doi.org/10.25205/1995-4328-2022-16-2-580-591.

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A number of versions of Zeno’s ‘Dichotomy’ is being discussed in literature. Some of them are versions of a paradox that can be called ‘the paradox of logical causality’. It can be traced back to Benardete; in recent decades it has been discussed by Priest, Yablo, Hawthorne, Uzquiano, Shackel, Caie, and others. Unlike the original ‘Dichotomy’, the paradox of logical causality is an open problem for it has no generally accepted solution. In the paper, I examine the solution to the paradox proposed by Hawthorne and argue that it has an essential flaw caused by Hawthorne’s rejection of what he calls ‘the Change Principle’. I also compare the paradox and Zeno’s ‘Dichotomy’ and specify features shared by them, and features distinguishing the paradox. Their shared features are using infinite open series and reasoning from logical premises to physical conclusions. What distinguishes the new paradox is presupposing motion, and applying Zeno’s series to phenomena of physical interaction.

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26

Goldstein, Laurence. "Fibonacci, Yablo, and the Cassationist Approach to Paradox." Mind 115, no. 460 (October 1, 2006): 867–90. http://dx.doi.org/10.1093/mind/fzl867.

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27

Bodanza, Gustavo. "Yablo’s Paradox, the Liar, and Referential Contradictions from a Graph Theory Point of View." Логико-философские штудии, no. 1 (September 15, 2021): 101–4. http://dx.doi.org/10.52119/lphs.2021.32.43.005.

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F -systems are useful digraphs to model sentences that predicate the falsity of other sentences. Paradoxes like the Liar and the one of Yablo can be analyzed with that tool to find graph-theoretic patterns. In this paper we studied this general model consisting of a set of sentences and the binary relation ‘... affirms the falsity of...’ among them. The possible existence of non-referential sentences was also considered. To model the sets of all the sentences that can jointly be valued as true we introduced the notion of conglomerate, the existence of which guarantees the absence of paradox. Conglomerates also enabled us to characterize referential contradictions, i.e., sentences that can only be false under a classical valuation due to the interactions with other sentences in the model. A Kripke-style fixed-point characterization of groundedness was offered, and complete (meaning that every sentence is deemed either true or false) and consistent (meaning that no sentence is deemed true and false) fixed points were put in correspondence with conglomerates. Furthermore, argumentation frameworks are special cases of F -systems. We showed the relation between local conglomerates and admissible sets of arguments and argued about the usefulness of the concept for the argumentation theory.

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28

Ripley, David. "The Yablo Paradox: An Essay on Circularity By Roy T. Cook." Analysis 75, no. 3 (February 26, 2015): 523–25. http://dx.doi.org/10.1093/analys/anv007.

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29

Garti, Shimon. "Yablo's paradox and forcing." Thought: A Journal of Philosophy, December 30, 2020. http://dx.doi.org/10.1002/tht3.475.

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30

Çevik, Ahmet. "ω-circularity of Yablo's paradox." Logic and Logical Philosophy, August 30, 2019, 1. http://dx.doi.org/10.12775/llp.2019.032.

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31

Salehi, Saeed. "‘Sometime a paradox’, now proof: Yablo is not first order." Logic Journal of the IGPL, November 3, 2020. http://dx.doi.org/10.1093/jigpal/jzaa051.

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Abstract Interesting as they are by themselves in philosophy and mathematics, paradoxes can be made even more fascinating when turned into proofs and theorems. For example, Russell’s paradox, which overthrew Frege’s logical edifice, is now a classical theorem in set theory, to the effect that no set contains all sets. Paradoxes can be used in proofs of some other theorems—thus Liar’s paradox has been used in the classical proof of Tarski’s theorem on the undefinability of truth in sufficiently rich languages. This paradox (as well as Richard’s paradox) appears implicitly in Gödel’s proof of his celebrated first incompleteness theorem. In this paper, we study Yablo’s paradox from the viewpoint of first- and second-order logics. We prove that a formalization of Yablo’s paradox (which is second order in nature) is non-first-orderizable in the sense of George Boolos (1984). This was sometime a paradox, but now the time gives it proof. —William Shakespeare (Hamlet, Act 3, Scene 1).

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32

Landini, Gregory. "Yablo’s Paradox and Russellian Propositions." Russell: the Journal of Bertrand Russell Studies 28, no. 2 (December 31, 2008). http://dx.doi.org/10.15173/russell.v28i2.2140.

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33

Read, Stephen. "‘Everything True Will Be False’: Paul of Venice and a Medieval Yablo Paradox." History and Philosophy of Logic, March 28, 2022, 1–15. http://dx.doi.org/10.1080/01445340.2022.2040797.

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