Circularity or Lacunae in Tarski’s Truth-Schemata
- Dale Jacquette
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Tarski avoids the liar paradox by relativizing truth and falsehood to particular languages and forbidding the predication to sentences in a language of truth or falsehood by any sentences belonging to the same language. The Tarski truth-schemata stratify an object-language and indefinitely ascending hierarchy of meta-languages in which the truth or falsehood of sentences in a language can only be asserted or denied in a higher-order meta-language. However, Tarski’s statement of the truth-schemata themselves involve general truth functions, and in particular the biconditional, defined in terms of truth conditions involving truth values standardly displayed in a truth table. Consistently with his semantic program, all such truth values should also be relativized to particular languages for Tarski. The objection thus points toward the more interesting problem of Tarski’s concept of the exact status of truth predications in a general logic of sentential connectives. Tarski’s three-part solution to the circularity objection which he anticipates is discussed and refuted in detail.
- Davidson D. (1984) Inquiries into truth and interpretation. The Clarendon Press, Oxford
- Field H. (1972) Tarski’s theory of truth. The Journal of Philosophy 69: 347–375 CrossRef
- Gupta A. (1993) A critique of deflationism. Philosophical Topics 21: 57–81
- Halbach V. (1999) Disquotationalism and infinite conjunctions. Mind 108: 1–22 CrossRef
- Hintikka J. (1975) A counterexample to Tarski-type truth-definition as applied to natural languages. Philosophia 5: 207–212 CrossRef
- Ketland J. (1999) Deflationism and Tarski’s paradise. Mind 108: 69–94 CrossRef
- Tarski, A. (1923). On the primitive term of logistic. Logic, Semantics, Metamathematics, pp 1–23.
- Tarski, A (1935a). Foundations of the calculus of systems. Logic, Semantics, Metamathematics, pp. 342–383.
- Tarski, A. (1935b). On extensions of incomplete systems of the sentential calculus. Logic, Semantics, Metamathematics, pp. 393–400.
- Tarski, A. (1937). Sentential calculus and topology. Logic, Semantics, Metamathematics, pp. 421–454.
- Tarski A. (1944) The semantic conception of truth and the foundations of semantics. Philosophy and Phenomenological Research 4: 341–375 CrossRef
- Tarski, A. (1983). The concept of truth in formalized languages. In Tarski A (Ed.), Logic, semantics, metamathematics: Papers from 1923 to 1938 (J. H. Woodger, trans), 2nd edn, edited by J. Corcoran, (pp. 152–278). Indianapolis: Hackett Publishing Company.
- Circularity or Lacunae in Tarski’s Truth-Schemata
Journal of Logic, Language and Information
Volume 19, Issue 3 , pp 315-326
- Cover Date
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- Online ISSN
- Springer Netherlands
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- Language, meta-language
- Tarski, Alfred
- Dale Jacquette (1)
- Author Affiliations
- 1. University of Bern, Bern, Switzerland