Handbook of Logic and Language

Handbook of Logic and Language
Author: Johan F.A.K. van Benthem,Alice ter Meulen
Publsiher: Elsevier
Total Pages: 1168
Release: 2010-12-17
Genre: Mathematics
ISBN: 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 the Logic of Argument and Inference

Handbook of the Logic of Argument and Inference
Author: R.H. Johnson,H.J. Ohlbach,Dov M. Gabbay,John Woods
Publsiher: Elsevier
Total Pages: 508
Release: 2002-09-11
Genre: Computers
ISBN: 9780080532912

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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.

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic
Author: Stewart Shapiro
Publsiher: Oxford University Press
Total Pages: 856
Release: 2005-02-10
Genre: Mathematics
ISBN: 9780190287535

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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

The Cambridge Handbook of the Philosophy of Language

The Cambridge Handbook of the Philosophy of Language
Author: Piotr Stalmaszczyk
Publsiher: Unknown
Total Pages: 800
Release: 2021-10-31
Genre: Language Arts & Disciplines
ISBN: 9781108492386

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A comprehensive guide to contemporary investigations into the relationship between language, philosophy, and linguistics.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay,Franz Guenthner
Publsiher: Springer Science & Business Media
Total Pages: 406
Release: 2002-05-31
Genre: Philosophy
ISBN: 1402005830

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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.

Philosophy of Logic

Philosophy of Logic
Author: Anonim
Publsiher: Elsevier
Total Pages: 1218
Release: 2006-11-29
Genre: Mathematics
ISBN: 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 Practical Logic and Automated Reasoning

Handbook of Practical Logic and Automated Reasoning
Author: John Harrison
Publsiher: Cambridge University Press
Total Pages: 681
Release: 2009-03-12
Genre: Computers
ISBN: 9780521899574

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One-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

The Description Logic Handbook

The Description Logic Handbook
Author: Franz Baader,Diego Calvanese,Deborah McGuinness,Peter Patel-Schneider,Daniele Nardi
Publsiher: Cambridge University Press
Total Pages: 555
Release: 2003-01-09
Genre: Computers
ISBN: 0521781760

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Table of contents

Game Theoretical Semantics

Game Theoretical Semantics
Author: Esa. Saarinen
Publsiher: Springer Science & Business Media
Total Pages: 394
Release: 2007-11-05
Genre: Language Arts & Disciplines
ISBN: 9781402041082

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This book is a collection of studies applying game-theoretical concepts and ideas to analysing the semantics of natural language and some formal languages. The bulk of the book consists of several papers by Hintikka, Carlson and Saarinen and discusses several of the central problems of the semantics of natural language. The topics covered are the semantics of natural language quantifiers, conditionals, pronouns and anaphora more generally. Hintikka’s famous essay presenting examples of "branching quantifier structures" in English, as well as one formulating his "any-every thesis", are included. The book also includes Hintikka’s closely argued philosophical discussion of the relationships between the new semantical games with the language games of Wittgenstein. Other papers apply the game-theoretical approach to formal languages including tense logics and tense anaphora (Saarinen), deontic logic and Ross’ paradox (Hintikka), and usual predicate logic (Rantala). The latter amounts to an explication of the "impossible possible" worlds as is shown in Hintikka’s concluding paper.

Language in Action

Language in Action
Author: Johan van Benthem
Publsiher: MIT Press
Total Pages: 365
Release: 1995
Genre: Language Arts & Disciplines
ISBN: 0262720248

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Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.

Handbook of Quantifiers in Natural Language

Handbook of Quantifiers in Natural Language
Author: Edward Keenan,Denis Paperno
Publsiher: Springer Science & Business Media
Total Pages: 970
Release: 2012-03-28
Genre: Language Arts & Disciplines
ISBN: 9789400726819

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Covering a strikingly diverse range of languages from 12 linguistic families, this handbook is based on responses to a questionnaire constructed by the editors. Focusing on the formation, distribution and semantic interpretation of quantificational expressions, the book explores 17 languages including German, Italian, Russian, Mandarin Chinese, Malagasy, Hebrew, Pima, Basque, and more. The language data sets enable detailed crosslinguistic comparison of numerous features. These include semantic classes of quantifiers (generalized existential, generalized universal, proportional, partitive), syntactically complex quantifiers (intensive modification, Boolean compounding, exception phrases) and several others such as quantifier scope ambiguities, quantifier float, and binary quantifiers. Its theory-independent content extends earlier work by Matthewson (2008) and Bach et al. (1995), making this handbook suitable for linguists, semanticians, philosophers of language and logicians alike.

The Oxford Handbook of Philosophy of Language

The Oxford Handbook of Philosophy of Language
Author: Ernest Lepore,Barry C. Smith
Publsiher: OUP Oxford
Total Pages: 1104
Release: 2008-09-25
Genre: Philosophy
ISBN: 0199552231

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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.

A Computational Logic Handbook

A Computational Logic Handbook
Author: Robert S. Boyer,J Strother Moore
Publsiher: Elsevier
Total Pages: 426
Release: 2014-05-10
Genre: Mathematics
ISBN: 9781483277783

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Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.

Routledge Companion to Philosophy of Language

Routledge Companion to Philosophy of Language
Author: Gillian Russell,Delia Graff Fara
Publsiher: Routledge
Total Pages: 960
Release: 2013-05-07
Genre: Language Arts & Disciplines
ISBN: 9781136594076

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Philosophy of language is the branch of philosophy that examines the nature of meaning, the relationship of language to reality, and the ways in which we use, learn, and understand language. The Routledge Companion to Philosophy of Language provides a comprehensive and up-to-date survey of the field, charting its key ideas and movements, and addressing contemporary research and enduring questions in the philosophy of language. Unique to this Companion is clear coverage of research from the related disciplines of formal logic and linguistics, and discussion of the applications in metaphysics, epistemology, ethics and philosophy of mind. Organized thematically, the Companion is divided into seven sections: Core Topics; Foundations of Semantics; Parts of Speech; Methodology; Logic for Philosophers of Language; Philosophy of Language for the Rest of Philosophy; and Historical Perspectives. Comprised of 70 never-before-published essays from leading scholars--including Sally Haslanger, Jeffrey King, Sally McConnell-Ginet, Rae Langton, Kit Fine, John MacFarlane, Jeff Pelletier, Scott Soames, Jason Stanley, Stephen Stich and Zoltan Gendler Szabo--the Routledge Companion to Philosophy of Language promises to be the most comprehensive and authoritative resource for students and scholars alike.

Handbook of Formal Languages

Handbook of Formal Languages
Author: Grzegorz Rozenberg,Arto Salomaa
Publsiher: Springer Science & Business Media
Total Pages: 625
Release: 1997
Genre: Computers
ISBN: 3540606491

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Summary: Discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics.