Minimalism and the Definability of Truth

Abstract

In this paper I am going to inquire to what extent the main requirements of a minimalist theory of truth and falsity (as formulated, for example, by Horwich and Field) can be consistently implemented in a formal theory. I will discuss several of the existing logical theories of truth, including Tarski-type (un)definability results, Kripke’s partial interpretation of truth and falsity, Barwise and Moss’ theory based upon non-well-founded sets, McGee’s treatment of truth as a vague predicate, and Hintikka’s languages of imperfect information, to see which axioms of the minimalist theory they satisfy or fail to satisfy. Finally, I will discuss the relation between the minimalist program and compositionality.

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Gabriel Sandu
University of Helsinki

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References found in this work

Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
Compositional semantics for a language of imperfect information.W. Hodges - 1997 - Logic Journal of the IGPL 5 (4):539-563.
Formal features of compositionality.Wilfrid Hodges - 2001 - Journal of Logic, Language and Information 10 (1):7-28.
Compositionality.Peter Pagin & Dag Westersã̃hl - 2019 - In Paul Portner, Klaus von Heusinger & Claudia Maienborn, Semantics: noun phrases, verb phrases and adjectives. Boston: De Gruyter.
Game-theoretical semantics: insights and prospects.Jaakko Hintikka - 1982 - Notre Dame Journal of Formal Logic 23 (2):219-241.

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