Aspects of compositionality
type: Item
instance of: scholarly article
title: Aspects of compositionality
zbMATH Open document ID: 0970.03014
DOI: 10.1023/A:1026530709583
author: Gabriel Sandu
author: Jaakko Hintikka
published in: Journal of Logic, Language and Information
publication date: 2001-02-18T00:00:00Z
review text: Three kinds of compositionality are defined, the criterion being the determination of the applicability of a semantic attribute \(A\) to \(E\) by the applicability i) just of \(A\) to the components of \(E\), ii) of all semantic attributes to the components of \(E\), iii) of attributes from ii) satisfying some constraints. The authors expose Hodges' and Cameron's results concerning the questions whether ``Hintikka interpretation'' of first-order sentences and of Independence Sentences -- not compositional as such -- can be extended to a compositional interpretation (case ii). Both questions are answered positively. Since the principle of compositionality can always be implemented, the question of its emptiness arises. The authors show that Camerons's and Hodges' results prove that compositionality in the sense iii) cannot be in general attained for IF languages.
Mathematics Subject Classification ID: 03A05
Mathematics Subject Classification ID: 03B65
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 03E25
zbMATH DE Number: 1565465
zbMATH Keywords: axiom of choice
zbMATH Keywords: compositionality
zbMATH Keywords: games
zbMATH Keywords: IF sentences
reviewed by: Pavel Materna
MaRDI profile type: Publication
full work available at URL: a:1026530709583
OpenAlex ID: W1579638904
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description: scientific article; zbMATH DE number 1565465