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On the Antinomy of the Liar and the Semantics of Natural Language

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Semiotics in Poland 1984–1969

Part of the book series: Synthese Library ((SYLI,volume 119))

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Abstract

The antinomy of the liar has been discussed many times in formal logic. It is associated with remarkable advances in logic: the formulation of the semantic theory of truth [4]1 and the discovery of undecidable statements and the impossibility of proofs of consistency under specified conditions ([2]; see also [3], Vol. II, pp. 256ff).

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Bibliography

  1. Carnap, R., ‘Die Antinomien und die Unvollständigkeit der Mathematik’, Monatshefte für Mathematik und Physik, 41, 1934, pp. 263–84.

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  2. Gödei, K., Über formal unentscheidbare Sätze der “Principia Mathematica” und verwandter Systeme I’, Monatshefte für Mathematik und Physik 38, 1931, pp. 173–98.

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  3. Hilbert, D., Bernays, P., Grundlagen der Mathematik, Berlin 1934, 1939.

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  4. Tarski, A., ‘The Concept of Truth in Formalized Languages’, in: Tarski, A., Logic, Semantics, Metamathematics, Oxford 1956.

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  5. Tarski, A., ‘The Establishment of Scientific Semantics’, ibid.

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  6. Tarski, A., ‘On the Concept of Logical Consequence’, ibid.

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© 1979 PWN — Polish Scientific Publishers — Warszawa

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Suszko, R. (1979). On the Antinomy of the Liar and the Semantics of Natural Language. In: Pelc, J. (eds) Semiotics in Poland 1984–1969. Synthese Library, vol 119. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9777-6_24

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  • DOI: https://doi.org/10.1007/978-94-009-9777-6_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9779-0

  • Online ISBN: 978-94-009-9777-6

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