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Language in Action

Categories, Lambdas and Dynamic Logic

1st Edition - February 12, 1991

Author: J. van Benthem

Hardback ISBN:
9 7 8 - 0 - 4 4 4 - 8 9 0 0 0 - 9
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 9 3 4 2 2 - 8

This monograph began life as a series of papers documenting five years of research into the logical foundations of Categorial Grammar, a grammatical paradigm which has close… Read more

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This monograph began life as a series of papers documenting five years of research into the logical foundations of Categorial Grammar, a grammatical paradigm which has close analogies with Lambda Calculus and Type Theory. The technical theory presented here stems from the interface between Logic and Linguistics and, in particular, the theory of generalized quantification. A categorical framework with lambda calculus-oriented semantics is a convenient vehicle for generalizing semantic insights (obtained in various corners of natural language) into one coherent theory.

The book aims to demonstrate to fellow logicians that the resulting applied lambda calculus has intrinsic logical interest. In the final analysis, the idea is not just to `break the syntactic code' of natural languages but to understand the cognitive functioning of the human mind.