Logical Aspects Of Quantification In Natural Language

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Logical Aspects of Quantification in Natural Language

Author: Aleksy Molczanow
language: en
Publisher: Unlimited Publishing LLC
Release Date: 2004
Elucidates the relation between quantifiers in formal logic and quantifiers in natural language. Demystifies the theoretical apparatus of contemporary logic as it provides theoretical explanations concerning quantification in natural language, and idiomatic quantifiers in ordinary English in particular.
Logical Form

Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.
Quantification in Natural Languages

Author: Emmon W. Bach
language: en
Publisher: Springer Science & Business Media
Release Date: 1995-02-28
This extended collection of papers is the result of putting recent ideas on quantification to work on a wide variety of languages. A central perspective of many of the papers follows the recognition of two broad types of quantificational strategies, one associated with nominal structures and determiners, the other with adverbial and other non-nominal expression (`D-quantifiers' and `A-quantifiers'). The papers demonstrate both the unity and the variety of natural language quantificational forms and meanings. Many of the papers also shed new light on questions of language typology and syntactic and morphological variation. The languages discussed include English, Dutch, Italian, American Sign Language, Hindi, and a number of languages of Australia, Greenland, and the Americas. These comparative studies provide initial data for a typology of quantificational structures in natural languages, with important implications for the study of universal grammar. The book consists of research papers aimed at linguists, philosophers, and psychologists interested in semantics and linguistic form. An introduction presents a sketch of the background of this research and some of the central issues discussed, with pointers toward the included papers.