Truth via anaphorically unrestricted quantifiers

Journal of Philosophical Logic 30 (4):329-354 (2001)
Abstract
A new approach to truth is offered which dispenses with the truth predicate, and replaces it with a special kind of quantifier which simultaneously binds variables in sentential and nominal positions. The resulting theory of truth for a (first-order) language is shown to be able to handle blind truth ascriptions, and is shown to be compatible with a characterization of the semantic and syntactic principles governing that language. Comparisons with other approaches to truth are drawn. An axiomatization of AU-quantifiers and a model theory for them is given, and an appendix contains a completeness proof
Keywords truth  Alfred Tarski  Deflationism  blind ascriptions  anaphora  semantic rules  axioms  completeness
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