Handbook of Logic and Language
Handbook of Logic and Language

Author: J. van Benthem

Publisher: Elsevier

Published: 1997

Total Pages: 1274

ISBN-13: 044481714X

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This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.

Philosophy of Logic
Philosophy of Logic

Author:

Publisher: Elsevier

Published: 2006-11-29

Total Pages: 1219

ISBN-13: 008046663X

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The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Handbook of Logic and Language
Handbook of Logic and Language

Author: Johan F.A.K. van Benthem

Publisher: Elsevier

Published: 2010-12-17

Total Pages: 1169

ISBN-13: 0444537279

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The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories

Handbook of Logic
Handbook of Logic

Author: Roland Houde

Publisher: BoD – Books on Demand

Published: 2022-01-05

Total Pages: 178

ISBN-13: 3868385304

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This book represents the attempt to provide the student in the one semester introductory course in logic with 1. a handbook of the fundamentals of the science, brief and succinct enough to be practical and yet substantial enough to provide him with the solid foundation of the traditional from which to approach the “mysteries” of modern developments in the field. 2. A working knowledge of the science, out of which there may be built the personal equipment with which the student may be able to solve for himself the problems posed by the impact of the new on the old in the field of logic. 3. Sufficient problem material to enable the student to learn the use of logic, so that in reconciling in his own mind the new and the old, the modern and the traditional, he may do this logically.

The Oxford Handbook of Philosophy of Language
The Oxford Handbook of Philosophy of Language

Author: Ernest Lepore

Publisher: OUP Oxford

Published: 2008-09-25

Total Pages: 1104

ISBN-13: 9780199552238

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The definitive reference work for this diverse and fertile field: an outstanding international team contribute 41 new essays covering topics from the nature of language to meaning, truth, and reference, and the interfaces of philosophy of language with linguistics, psychology, logic, epistemology, and metaphysics.

Logic, Language, and Meaning, Volume 1
Logic, Language, and Meaning, Volume 1

Author: L. T. F. Gamut

Publisher: University of Chicago Press

Published: 1991

Total Pages: 376

ISBN-13: 9780226280844

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Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

Handbook of the Logic of Argument and Inference
Handbook of the Logic of Argument and Inference

Author: R.H. Johnson

Publisher: Elsevier

Published: 2002-09-11

Total Pages: 509

ISBN-13: 0080532918

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The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.

Handbook of Philosophical Logic
Handbook of Philosophical Logic

Author: Dov M. Gabbay

Publisher: Springer Science & Business Media

Published: 2002-05-31

Total Pages: 428

ISBN-13: 9781402005831

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such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

Nonsense
Nonsense

Author: Robert Gula

Publisher: Axios Press

Published: 2007

Total Pages: 262

ISBN-13: 0975366262

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Nonsense is the best compilation and study of verbal logical fallacies available anywhere. It is a handbook of the myriad ways we go about being illogical--how we deceive others and ourselves, how we think and argue in ways that are disorderly, disorganized, or irrelevant. Nonsense is also a short course in nonmathematical logical thinking, especially important for students of philosophy and economics. A book of remarkable scholarship, Nonsense is unexpectedly relaxed, informal, and accessible.