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Semantics and Pragmatics

In Gillian Russell & Delia Graff Fara (eds.), Routledge Companion to Philosophy of Language. New York, USA: Routledge (2011)

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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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  • 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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  • Paradoxes of truth-in-context-X.Christopher Gauker - 2021 - Philosophical Studies 180 (5-6):1467-1489.
    We may suppose that the truth predicate that we utilize in our semantic metalanguage is a two-place predicate relating sentences to contexts, the truth-in-context-X predicate. Seeming paradoxes pertaining to the truth-in-context-X predicate can be blocked by placing restrictions on the structure of contexts. While contexts must specify a domain of contexts, and what a context constant denotes relative to a context must be a context in the context domain of that context, no context may belong to its own context domain. (...)
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