An approach to intensional logic

Studia Logica 40 (3):269 - 287 (1981)
Abstract
A system of tensed intensional logic excluding iterations of intensions is introduced. Instead of using the type symbols (for ‘sense’), extensional and intensional functor types are distinguished. A peculiarity of the semantics is the general acceptance of value-gaps (including truth-value-gaps): the possible semantic values (extensions) of extensional functors are partial functions. Some advantages of the system (relatively to R. Montague's intensional logic) are briefly indicated. Also, applications for modelling natural languages are illustrated by examples.
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DOI 10.1007/BF02584061
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Universal Grammar.R. Montague - 1970 - Theoria 36 (3):373--398.
The Proper Theory of Quantification.Richard Montague - 1973 - In Jaakko Hintikka (ed.), Approaches to Natural Language. D. Reidel Publishing.

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