Abstract
We present an overview of typed and untyped disquotational truth theories with the emphasis on their (non)conservativity over the base theory of syntax. Two types of conservativity are discussed: syntactic and semantic. We observe in particular that TB—one of the most basic disquotational theories—is not semantically conservative over its base; we show also that an untyped disquotational theory PTB is a syntactically conservative extension of Peano Arithmetic.
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Cieśliński, C. (2015). Typed and Untyped Disquotational Truth. In Logic, Epistemology, and the Unity of Science (Vol. 36, pp. 307–320). Springer Science and Business Media B.V. https://doi.org/10.1007/978-94-017-9673-6_15
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