This paper presents Lewis's intensional semantics, on the basis of which he aims to answer two questions: “What sort of thing is a meaning?” and “What is the form of semantic rules whereby meanings of compounds are built from the meanings of their constituent parts?” To this end, Lewis develops a categorically based transformational grammar. The paper provides formal treatments of such topics as intensions (for both basic and derived categories), nondeclarative sentences, quantification, and noun‐phrases.
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