On the Fundamental Role of ‘Means That’ in Semantic Theorizing

Journal of Logic, Language and Information 32 (4):601-656 (2023)
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Abstract

Our aim is to illuminate the interconnected notions of meaning and truth. For this purpose, we investigate the relationship between meaning theories based on commonsensical ‘means that’ and interpretive truth theories. The latter are Tarski–Davidson-style truth theories serving as meaning theories. We consider analytically true semantic principles containing ‘means’ and ‘means that’ side to side with ‘denotes’, ‘satisfies’, and ‘true’, which constitute the extensional semantic constants of interpretive truth theories. We show that these semantic constants are definable in terms of ‘means’ and ‘means that’ operators. The definitions themselves are semantic principles in the role of meaning postulates. We extend a meaning theory based on ‘means that’ by adjoining semantic principles to the axioms of the theory. Then, all axioms, hence all theorems, of a corresponding interpretive truth theory are provable in the extension of the meaning theory. Furthermore, every interpretive truth theory can be included in the extension of a corresponding meaning theory. Therefore, the extension of a meaning theory resulting from the adjunction of semantic principles constitutes a unified meaning-and-truth theory since it includes both a meaning theory and an interpretive truth theory.

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Oğuz Akçelik
Middle East Technical University
David Grunberg
Middle East Technical University

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References found in this work

Wittgenstein on rules and private language.Saul Kripke - 1982 - Revue Philosophique de la France Et de l'Etranger 173 (4):496-499.
The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
Quantifying in.David Kaplan - 1968 - Synthese 19 (1-2):178-214.
Presuppositions.Robert Stalnaker - 1973 - Journal of Philosophical Logic 2 (4):447 - 457.

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