History and Philosophy of Logic 20 (3-4):251-265 (1999)
Within Linguistics the semantic analysis of natural languages (English, Swahili, for example) has drawn extensively on semantical concepts first formulated and studied within classical logic, principally first order logic. Nowhere has this contribution been more substantive than in the domain of quantification and variable binding. As studies of these notions in natural language have developed they have taken on a life of their own, resulting in refinements and generalizations of the classical quantifiers as well as the discovery of new types of quantification which exceed the expressive capacity of the classical quantifiers. We refer the reader to Keenan and Westerståhl (1997) for an overview of results in this area. Here, we focus on one property of quantification in natural language?its inherently sortal nature?which distinguishes it from quantification in classical logic
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References found in this work BETA
Generalized Quantifiers and Natural Language.Jon Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
A Semantic Characterization of Natural Language Determiners.Edward L. Keenan & Jonathan Stavi - 1986 - Linguistics and Philosophy 9 (3):253 - 326.
Boolean Semantics for Natural Language.Edward L. Keenan & Leonard M. Faltz - 1987 - Journal of Symbolic Logic 52 (2):554-555.
Natural Language, Sortal Reducibility and Generalized Quantifiers.Edward L. Keenan - 1993 - Journal of Symbolic Logic 58 (1):314-325.
Citations of this work BETA
A New–Old Characterisation of Logical Knowledge.Ivor Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (3):245 - 290.
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