Open Access
November 2001 - November 2003 Modeling nonintersective adjectives using operator logics
Paul Bankston
Rev. Mod. Log. 9(1-2): 9-28 (November 2001 - November 2003).


Our topic is one that involves the interface between natural language and mathematical logic. First-order predicate language/logic does a good job approximating many parts of (English) speech, i.e., nouns, verbs and prepositions, but fails decidedly when it comes to, say, adjectives. In particular, it cannot account for the quite different ways in which the adjectives green and big modify a noun such as chair. In the former case, we can easily view a world in which the class of green chairs is the intersection of the class of green things with the class of chair-things. By contrast, the way big modifies a noun depends on the noun itself: a big chair is microscopic when compared to the smallest of galaxies. We investigate logical languages inspired by this phenomenon; particularly those with variables ranging over individuals and with variable-binding operators akin to generalized quantifiers


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Paul Bankston. "Modeling nonintersective adjectives using operator logics." Rev. Mod. Log. 9 (1-2) 9 - 28, November 2001 - November 2003.


Published: November 2001 - November 2003
First available in Project Euclid: 5 April 2004

zbMATH: 1303.03063
MathSciNet: MR2040854

Primary: 03B65
Secondary: 03C65 , 03C80

Keywords: Adjectives in natural language , categorization problem , compactness , completeness , constrained semantics , expressive power , operator languages

Rights: Copyright © 2003 The Review of Modern Logic

Vol.9 • No. 1-2 • November 2001 - November 2003
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