Tarski hierarchies

Erkenntnis 43 (3):339 - 367 (1995)
The general notions of object- and metalanguage are discussed and as a special case of this relation an arbitrary first order language with an infinite model is expanded by a predicate symbol T0 which is interpreted as truth predicate for . Then the expanded language is again augmented by a new truth predicate T1 for the whole language plus T0. This process is iterated into the transfinite to obtain the Tarskian hierarchy of languages. It is shown that there are natural points for stopping this process. The sets which become definable in suitable hierarchies are investigated, so that the relevance of the Tarskian hierarchy to some subjects of philosophy of mathematics are clarified.
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DOI 10.1007/BF01135378
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References found in this work BETA
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..

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Citations of this work BETA
Toby Meadows (2016). Sets and Supersets. Synthese 193 (6):1875-1907.
Volker Halbach (1997). Tarskian and Kripkean Truth. Journal of Philosophical Logic 26 (1):69-80.

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