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  1. A Completenesss Theorem for a 3-Valued Semantics for a First-order Language.Christopher Gauker - manuscript
    This document presents a Gentzen-style deductive calculus and proves that it is complete with respect to a 3-valued semantics for a language with quantifiers. The semantics resembles the strong Kleene semantics with respect to conjunction, disjunction and negation. The completeness proof for the sentential fragment fills in the details of a proof sketched in Arnon Avron (2003). The extension to quantifiers is original but uses standard techniques.
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  • Three kinds of ellipsis: Syntactic, semantic, pragmatic?Jason Merchant - 2010 - In Francois Recanati, IIsidora Stojanovic & Neftali Villanueva (eds.), Context-Dependence, Perspective, and Relativity (pp. 141-192).
    The term ‘ellipsis’ can be used to refer to a variety of phenomena: syntactic, semantic, and pragmatic. In this article, I discuss the recent comprehensive survey by Stainton 2006 of these kinds of ellipsis with respect to the analysis of nonsententials and try to show that despite his trenchant criticisms and insightful proposal, some of the criticisms can be evaded and the insights incorporated into a semantic ellipsis analysis, making a ‘divide-and-conquer’ strategy to the properties of nonsententials feasible after all. (...)
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  • Inexplicit Thoughts.Christopher Gauker - 2013 - In Laurence Goldstein (ed.), Brevity. Oxford University Press. pp. 74-90.
    It is often assumed that, though we may speak in sentences that express propositions only inexplicitly, our thoughts must express their propositional contents explicitly. This paper argues that, on the contrary, thoughts too may be inexplicit. Inexplicit thoughts may effectively drive behavior inasmuch as they rest on a foundation of imagistic cognition. The paper also sketches an approach to semantic theory that accommodates inexplicitness in mental representations as well as in spoken sentences.
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