Logic and the Modalities in the Twentieth Century

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Dov M. Gabbay, John Woods
Elsevier, 2006 M05 10 - 732 pages
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Logic and the Modalities in the Twentieth Century is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and artificial intelligence, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas.
This volume is number seven in the eleven volume Handbook of the History of Logic. It concentrates on the development of modal logic in the 20th century, one of the most important undertakings in logicís long history. Written by the leading researchers and scholars in the field, the volume explores the logics of necessity and possibility, knowledge and belief, obligation and permission, time, tense and change, relevance, and more. Both this volume and the Handbook as a whole are definitive reference tools for students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, artificial intelligence, for whom the historical background of his or her work is a salient consideration.

∑ Detailed and comprehensive chapters covering the entire range of modal logic.
∑ Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic.

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------------ A great textbook on Modalities. But excessively overpriced; this book, speaking practically, could only be purchased by a rich logician!! I hope the era of books being too expensive to read will come to an end ! A futile hope perhaps. At any rate the survey article by Goldblatt on history of mathematics of modalities is superlative. Comprehensive. But we must NOT forget the criticism of Colin McLarty's of Goldblatt's most famous book: Topoi; a criticism which Goldblatt has not quite recovered from. Other surveys similarly competent. It will take a few weeks to check out the references mentioned in, for example, Goldblatt's and to fully absorb it all. A shorter path is to read Hughes and Cresswells book. Then study algebraic logic to pick out articles selectively. But still, there is much logic survey matter here that no book has so far matched, as far as the current writer is concerned. 

Contents

A View of its Evolution Rob Goldblatt
1
Epistemic Logic Paul Gochet and Pascal Gribomont
99
Deontic Logic Paul McNamara
197
Relevant and Substructural Logics Greg Restall
289
A N Priors Logic Peter Øhrstrøm and Per F V Hasle
399
The Philosophical Background Peter Øhrstrøm and Per F V Hasle
447
The Gamut of Dynamic Logics Jan van Eijck and Martin Stokhof
499
Situation Theory and Situation Semantics Keith Devlin
601
Dialogue Logic Erik Krabbe
665
Index
705
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About the author (2006)

Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

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