Intensions, Types and Models

In Daniel Altshuler & Jessica Rett (eds.), The Semantics of Plurals, Focus, Degrees, and Times: Essays in Honor of Roger Schwarzschild. Cham: Springer Verlag. pp. 41-56 (2019)
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Abstract

Since the days of classical Montague Grammar, formal semantics is frequently characterised as intensional, type-logical and model-theoretic. This paper takes a closer look of some less obvious changes these three key concepts have undergone since the appearance of English as a Formal Language. While intensions used to be crucial for resolving substitution puzzles, they are now giving way to more general constructions of index-dependant denotations. Types, on the other hand, were promoted from handy taxonomic devices to driving forces in meaning composition. Finally, the rĂ´le of models was overestimated in the early days of formal semantics, but appears to have lost its importance.

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