PP-2003-20: van Benthem, Johan (2003) The Categorial Fine-Structure of Natural Language. [Report]
Preview |
Text (Full Text (PDF))
PP-2003-20.text.pdf Download (81kB) | Preview |
Text (Full Text (PS))
PP-2003-20.text.ps.gz Download (521kB) |
|
Text (Abstract)
PP-2003-20.abstract.txt Download (1kB) |
Abstract
Categorial grammar analyzes linguistic syntax and semantics in terms
of type theory and lambda calculus. A major attraction of this
approach is its unifying power, as its basic function/argument
structures occur across the foundations of mathematics, language and
computation. This paper considers, in a light example-based manner,
where this elegant logical paradigm stands when confronted with the
wear and tear of reality. Starting from a brief history of the Lambek
tradition since the 1980s, we discuss three main issues: (a) the fit
of the lambda calculus engine to characteristic semantic structures in
natural language, (b) the coexistence of the original type-theoretic
and more recent modal interpretations of categorial logics, and (c)
the place of categorial grammars in the complex total architecture of
natural language, which involves - amongst others - mixtures of
interpretation and inference.
Item Type: | Report |
---|---|
Report Nr: | PP-2003-20 |
Series Name: | Prepublication (PP) Series |
Year: | 2003 |
Uncontrolled Keywords: | categorial grammar, lambda calculus, type theory, monotonicity, modal logic, natural language, inference |
Subjects: | Logic |
Date Deposited: | 12 Oct 2016 14:36 |
Last Modified: | 12 Oct 2016 14:36 |
URI: | https://eprints.illc.uva.nl/id/eprint/104 |
Actions (login required)
View Item |