The "Standard Liar": Wittgenstein, Language-Games and Self-Reference
The article critically examines the heuristic capacity and methods of using separate tools of Wittgenstein's philosophical grammar to treat various semantic pathologies (paradoxes of Liar, Truth-Teller, etc.). According to Wittgenstein, philosophical confusion associated with the analysis of such semantic pathologies arises on the grounds of our intuitive faith that we are able to express in language any property that interests us. For instance, we believe that the property "to have a length of exactly one metre" can be meaningfully attributed to any extended object. However, such a faith is fundamentally wrong, since an object like a standard metre, which plays an exclusive role as the criterion of length in our measuring practices based on the metric system, is an example of an extended object about which one can say neither that it is one metre long, nor that it is not one metre long. A correct understanding of the language-game concept shows that the criterion by which we form a set of objects that meet the standards established by the criterion cannot be described in the same way as objects of this set. Language-games using predicates of truth and falsehood are similar to our practice of measuring length using the metric system. In cases of Liar and Truth-Teller sentences, we encounter resembling examples of philosophical confusion. Beyond the context of their usage, "This sentence is false" and "This sentence is true" sentences seem to us paradoxes. But, according to Wittgenstein's philosophical grammar, a correct method of treating such "paradoxical" sentences demands to find the lacking context for their usage, i.e. pay attention to the language-game in which they are emplloyed. Like in the case of the standard metre, we can claim that the sentence "This sentence is false" ("This sentence is true") is neither false (true), nor not false (true). In an analogous way, Liar and Truth-Teller sentences should be interpreted as peculiar standards of falsehood and truth that we use in our language-games to judge about the truth value of other sentences.
Keywords
семантический парадокс,
парадокс Лжеца,
языковая игра,
самореференция,
самопредикация,
semantic paradox,
liar paradox,
language-game,
self-reference,
self-predicationAuthors
Nekhaev Andrei V. | Tyumen State University; Omsk State Technical University; Tomsk Scientific Center, Siberian Branch of the Russian Academy of Sciences | A_V_Nehaev@rambler.ru |
Всего: 1
References
Mortensen C., Priest G. The Truth Teller Paradox // Logique et Analyse. 1981. Vol. 24, № 95/96. P. 381-388.
Billon A. Paradoxical Hypodoxes // Synthese. 2019. Vol. 196, № 12. P. 5205-5229. DOI: 10.1007/s11229-018-1711-1
Priest G. The Structure of the Paradoxes of Self-Reference // Mind. 1994. Vol. 103, № 409. P. 25-34. DOI: 10.1093/mind/103.409.25
Ладов В.А. Критический анализ иерархического подхода Рассела-Тарского к решению проблемы парадоксов // Вестник Томского государственного университета. Философия. Социология. Политология. 2018. № 44. С. 10-24. DOI: 10.17223/1998863X/44/2
Tarski A. The Establishment of Scientific Semantics // Logic, Semantics, Metamathematics: Papers from 1923 to 1938 by Alfred Tarski. Oxford : Clarendon Press, 1956. P. 401-408.
Tarski A. The Concept of Truth in Formalized Languages // Logic, Semantics, Metamathematics: Papers from 1923 to 1938 by Alfred Tarski. Oxford : Clarendon Press. 1956. P. 152-278.
Тарский А. Семантическая концепция истины и основания семантики // Аналитическая философия: становление и развитие (антология). М.: ДИК, Прогресс-Традиция, 1998. С. 90-129.
Рассел Б. Математическая логика, основанная на теории типов // Введение в математическую философию: Избранные работы. Новосибирск : Сиб. унив. изд-во, 2007. С. 21-65.
Витгенштейн Л. Логико-философский трактат. М.: Канон+ РООИ Реабилитация, 2008. 288 с.
Ladov V.A. Wittgenstein's Tractatus Logico-Philosophicus and a Hierarchical Approach to Solving Logical Paradoxes // Filosofija. Sociologija. 2019. Vol. 30, № 1. P. 37-44. DOI: 10.6001/fil-soc.v30i1.3914
Goldstein L. Wittgenstein's Late Views on Belief, Paradox and Contradiction // Philosophical Investigations. 1988. Vol. 11, № 1. P. 49-73. DOI: 10.1111/j.1467-9205.1988.tb00526.x
Витгенштейн Л. Философские исследования // Философские работы. Ч. 1. М. : Гнозис, 1994. С. 75-319.
Fogelin R.J. Wittgenstein. London: Routledge, 1995. 255 p.
Dolev Y. Mission Impossible and Wittgenstein's Standard Metre // Philosophical Investigations. 2007. Vol. 30, № 2. P. 127-137. DOI: 10.1111/j.1467-9205.2007.00313.x
Salmon N. How to Measure the Standard Metre // Proceedings of the Aristotelian Society. 1988. Vol. 88, № 1. P. 193-217. DOI: 10.1093/aristotelian/88.1.193
Baker G.P., Hacker P.M.S. Wittgenstein: Understanding and Meaning. An Analytical Commentary on Philosophical Investigations. Vol. 1. Part II: Exegesis § 1-184 / ed. P.M.S. Hacker. Oxford : Blackwell Publishing, 2005. 363 p.
Wittgenstein L. The Big Typescript: TS 213 / eds. C.G. Luckhardt, M.A.E. Aue. Oxford : Blackwell Publishing, 2005. 516 p.
Gert H.J. The Standard Meter by Any Name Is Still a Meter Long // Philosophy and Phe-nomenological Research. 2002. Vol. 65, № 1. P. 50-68. DOI: 10.1111/j.1933-1592.2002.tb00182.x
Pollock W.J. Wittgenstein on The Standard Metre // Philosophical Investigations. 2004. Vol. 27, № 2. P. 148-157. DOI: 10.1111/j.1467-9205.2004.00219.x
Macha J. Paradigms and Self-Reference: What Is the Point of Asserting Paradoxical Sentences? // Wittgensteinian (adj.): Looking at the World from the Viewpoint of Wittgenstein's Philosophy / eds. S. Wuppuluri, N. da Costa. Cham : Springer, 2020. P. 123-134.
Wittgenstein's Lectures on the Foundations of Mathematics: Cambridge, 1939 / ed. C. Diamond. Ithaca: Cornell University Press, 1976. 300 p.
Wittgenstein L. Remarks on the Foundation of Mathematics / eds. G.H. von Wright, R. Rhees, G.E.M. Anscombe. Cambridge, MA : MIT Press, 1967. 204 p.
Gomulka J., Wawrzyniak J. The Liar Paradox from the Wittgensteinian Perspective // Studia Semiotyczne. 2017. Vol. 31, № 2. P. 179-199. DOI: 10.26333/sts.xxxi2.09
Нехаев А.В. Истина об «истине» // Вестник Томского государственного университета. Философия. Социология. Политология. 2018. № 45. С. 34-46. DOI: 10.17223/1998863Х/45/4
Нехаев А.В. Парадокс Ябло: лжет ли нам бесконечный Лжец? // Эпистемология и философия науки. 2019. Т. 56, № 3. С. 88-102. DOI: 10.5840/eps201956351
Ktinne W. On Liars, "Liars" and Harmless Self-Reference // Mind, Values, and Metaphysics: Philosophical Essays in Honor of Kevin Mulligan / ed. A. Reboul. New York : Springer, 2014. Vol. 2. P. 355-429.
Jacquette D. Measure for Measure? Wittgenstein on Language-Game Criteria and the Paris Standard Metre Bar // Wittgenstein's Philosophical Investigation: A Critical Guide / ed. A. Ahmed. Cambridge: Cambridge University Press, 2010. P. 49-65.
Витгенштейн Л. Заметки о философии психологии. М.: ДИК, 2001. Т. 1. 192 с.
Wittgenstein L. Zettel / ed. G.E.M. Anscombe, G.H. von Wright. Berkeley : University of California Press, 1967. 124 p.
Eldridge-Smith P. The Liar Hypodox: A Truth-Teller's Guide to Defusing Proofs of the Liar Paradox // Open Journal of Philosophy. 2019. Vol. 9, № 2. P. 152-171. DOI: 10.4236/ojpp.2019.92011
Chihara C.S. Wittgenstein's Analysis of the Paradoxes in His Lectures on the Foundations of Mathematics // The Philosophical Review. 1977. Vol. 86, № 3. P. 365-381. DOI: 10.2307/2183788
Grover D., Camp J., Belnap N. A Prosentential Theory of Truth // Philosophical Studies. 1975. Vol. 27, № 2. P. 73-125. DOI: 10.1007/BF01209340
Grover D. Inheritors and Paradox // The Journal of Philosophy. 1977. Vol. 74, № 10. P. 590-604. DOI: 10.2307/2025911
Brandom R. From Truth to Semantics: A Path through "Making It Explicit" // Philosophical Issues. 1997. Vol. 8. P. 141-154. DOI: 10.2307/1523001
Brandom R. Explanatory vs Expressive Deflationism about Truth // What is Truth? / ed. R. Schantz. Berlin : Walter de Gruyter Inc, 2002. P. 103-119.
Grover D. "This is False" on the Prosentential Theory // Analysis. 1976. Vol. 36, № 2. P. 80-83. DOI: 10.1093/analys/36.2.80
Lowenstein D. Davidsonian Semantics and Anaphoric Deflationism // Dialectica. 2012. Vol. 66, № 1. P. 23-44. DOI: 10.1111/j. 1746-8361.2012.01288.x
Salis P. The Generality of Anaphoric Deflationism // Philosophia. 2019. Vol. 47, № 2. P. 505-522. DOI: 10.1007/s11406-018-9974-9