Overview

This volume contains 12 research papers devoted to generalized quantifiers and their applications. It offers a survey of logical methods that are useful in investigations involving generalized quantifiers. Both model-theoretical and proof-theoretical approaches are well represented. Mo reover, some papers focus on the applications of logical theory, particularly in relation to semantics of natural language. The volume includes a survey of logical methods which are useful in investigations into generalized quantifiers. The book is the second volume of a large collection. The first volume - ""Quantifiers: Logics, Models and Computation, Volume One - Surveys"" - contains a collection of survey papers on selected, well-defined areas organized around the quantifier concept. Volumes One and Two are complementary. This volume is intended for logicians, mathematicians, philosophers, linguists and computer scientists. It is also suitable as a text for advanced undergraduate or graduate specialized courses in logic.

Full Product Details

Author:   Michal Krynicki ,  M. Mostowski ,  L.W. Szczerba
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   249
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.260kg
ISBN:  

9780792334491

ISBN 10:   0792334493
Pages:   278
Publication Date:   31 May 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

to Volume II.- Quantifiers and Inference.- Operators on Branched Quantifiers.- Hilbert’s ?-Symbol in the Presence of Generalized Quantifiers.- Partially Ordered Connectives and Finite Graphs.- Theories of Finitely Determinate Linear Orderings in Stationary Logic.- Definable Second-Order Quantifiers and Quasivarieties.- Quantifiers Determined by Classes of Binary Relations.- Decidability Results for Classes of Ordered Abelian Groups in Logics with Ramsey-Quantifiers.- On the Eliminability of the Quantifier “There Exists Uncountably Many”.- Quantifiers Definable by Second Order Means.- Generalized Quantifiers in Algebra.- On Ordering of the Family of Logics with Skolem-Löwenheim Property and Countable Compactness Property.- Pre-Ordered Quantifiers in Elementary Sentences of Natural Language.- Some Remarks on Zawadowsky’s Theory of Preordered Quantifiers.- Index of Names.- Table of Contents to Volume I.

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