Handbook of Modal Logic Book
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Handbook of Modal Logic


  • Author : Patrick Blackburn
  • Publisher : Elsevier
  • Release Date : 2006-11-03
  • Genre: Mathematics
  • Pages : 1260
  • ISBN 10 : 0080466664

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Handbook of Modal Logic Book Description :

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth

Handbook of Spatial Logics Book

Handbook of Spatial Logics


  • Author : Marco Aiello
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-09-04
  • Genre: Science
  • Pages : 1058
  • ISBN 10 : 9781402055874

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Handbook of Spatial Logics Book Description :

The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.

Handbook of Philosophical Logic Book

Handbook of Philosophical Logic


  • Author : Dov M. Gabbay
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Philosophy
  • Pages : 412
  • ISBN 10 : 9789401704540

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Handbook of Philosophical Logic Book Description :

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

Modal Logic and Classical Logic Book

Modal Logic and Classical Logic


  • Author : Johan Van Benthem
  • Publisher : Humanities Press
  • Release Date : 1985
  • Genre: Philosophy
  • Pages : 236
  • ISBN 10 : 8870880710

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Modal Logic and Classical Logic Book Description :

Modal Logic Book
Score: 4
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Modal Logic


  • Author : Brian F. Chellas
  • Publisher : Cambridge University Press
  • Release Date : 1980
  • Genre: Mathematics
  • Pages : 295
  • ISBN 10 : 0521295157

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Modal Logic Book Description :

A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher's technical equipment. Chellas here offers an up-to-date and reliable guide essential for the student.

Modal Logic Book

Modal Logic


  • Author : Patrick Blackburn
  • Publisher : Cambridge University Press
  • Release Date : 2002-08-22
  • Genre: Computers
  • Pages : 554
  • ISBN 10 : 0521527147

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Modal Logic Book Description :

A 2001 graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists.

Modal Logic for Philosophers Book

Modal Logic for Philosophers


  • Author : James W. Garson
  • Publisher : Cambridge University Press
  • Release Date : 2013-11-25
  • Genre: Philosophy
  • Pages :
  • ISBN 10 : 9781107512306

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Modal Logic for Philosophers Book Description :

This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.

The Routledge Handbook of Modality Book

The Routledge Handbook of Modality


  • Author : Otávio Bueno
  • Publisher : Routledge
  • Release Date : 2020-12-30
  • Genre:
  • Pages : 432
  • ISBN 10 : 1138823317

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The Routledge Handbook of Modality Book Description :

Modality - the question of what is possible and what is necessary - is a fundamental area of philosophy and philosophical research. The Routledge Handbook of Modality is an outstanding reference source to the key topics, problems and debates in this exciting subject and is the first collection of its kind. Comprising thirty-five chapters by a team of international contributors the Handbook is divided into seven clear parts: worlds and modality essentialism, ontological dependence, and modality modal anti-realism epistemology of modality modality in science modality in logic and mathematics modality in the history of philosophy. Within these sections the central issues, debates and problems are examined, including possible worlds, essentialism, counterfactuals, ontological dependence, modal fictionalism, deflationism, the integration challenge, conceivability, a priori knowledge, laws of nature, natural kinds, and logical necessity. The Routledge Handbook of Modality is essential reading for students and researchers in epistemology, metaphysics and philosophy of language. It will also be very useful for those in related fields in philosophy such as philosophy of mathematics, logic and philosophy of science.

Handbook of Logic and Language Book

Handbook of Logic and Language


  • Author : J. F. A. K. van Benthem
  • Publisher : Elsevier
  • Release Date : 1997
  • Genre: Electronic books
  • Pages : 1247
  • ISBN 10 : 9780444817143

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Handbook of Logic and Language Book Description :

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.

First Order Modal Logic Book

First Order Modal Logic


  • Author : M. Fitting
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Philosophy
  • Pages : 292
  • ISBN 10 : 9789401152921

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First Order Modal Logic Book Description :

This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Modal Logic Book

Modal Logic


  • Author : Patrick Blackburn
  • Publisher : Cambridge University Press
  • Release Date : 2002-08-22
  • Genre: Computers
  • Pages : 554
  • ISBN 10 : 0521527147

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Modal Logic Book Description :

A 2001 graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists.

Modal Logic for Philosophers Book

Modal Logic for Philosophers


  • Author : James W. Garson
  • Publisher : Cambridge University Press
  • Release Date : 2006-08-14
  • Genre: Mathematics
  • Pages : 455
  • ISBN 10 : 9780521682299

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Modal Logic for Philosophers Book Description :

This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.

Philosophy of Logic Book
Score: 3
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Philosophy of Logic


  • Author :
  • Publisher : Elsevier
  • Release Date : 2006-11-29
  • Genre: Mathematics
  • Pages : 1218
  • ISBN 10 : 008046663X

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Philosophy of Logic Book Description :

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

Logical Dynamics of Information and Interaction Book

Logical Dynamics of Information and Interaction


  • Author : Johan van Benthem
  • Publisher : Cambridge University Press
  • Release Date : 2011-09-29
  • Genre: Mathematics
  • Pages :
  • ISBN 10 : 9781139500463

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Logical Dynamics of Information and Interaction Book Description :

This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book develops a mathematical theory unifying all these systems, and positioning them at the interface of logic, philosophy, computer science and game theory. A series of further chapters explores repercussions of the 'dynamic stance' for these areas, as well as cognitive science.

Handbook of Logic and Language Book

Handbook of Logic and Language


  • Author : Johan F.A.K. van Benthem
  • Publisher : Elsevier
  • Release Date : 2010-12-17
  • Genre: Mathematics
  • Pages : 1168
  • ISBN 10 : 0444537279

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Handbook of Logic and Language Book Description :

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

The Unprovability of Consistency Book

The Unprovability of Consistency


  • Author : George Boolos
  • Publisher : Cambridge University Press
  • Release Date : 2009-01-08
  • Genre: Mathematics
  • Pages : 196
  • ISBN 10 : 0521092973

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The Unprovability of Consistency Book Description :

The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted for at least thirty years between the followers of C. I. Lewis and W. V. O. Quine. The author employs semantic methods developed by Saul Kripke in his analysis of modal logical systems. The book will be of interest to advanced undergraduate and graduate students in logic, mathematics and philosophy, as well as to specialists in those fields.

Handbook of Tableau Methods Book

Handbook of Tableau Methods


  • Author : M. D'Agostino
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • Genre: Philosophy
  • Pages : 670
  • ISBN 10 : 9789401717540

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Handbook of Tableau Methods Book Description :

Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2. a semantical interpretation 3. a proof theoretical formulation. There are several types of proof theoretical methodologies, Hilbert style, Gentzen style, goal directed style, labelled deductive system style, and so on. The tableau methodology, invented in the 1950s by Beth and Hintikka and later per fected by Smullyan and Fitting, is today one of the most popular, since it appears to bring together the proof-theoretical and the semantical approaches to the pre of a logical system and is also very intuitive. In many universities it is sentation the style first taught to students. Recently interest in tableaux has become more widespread and a community crystallised around the subject. An annual tableaux conference is being held and proceedings are published. The present volume is a Handbook a/Tableaux pre senting to the community a wide coverage of tableaux systems for a variety of logics. It is written by active members of the community and brings the reader up to frontline research. It will be of interest to any formal logician from any area.

Modal Logic for Open Minds Book

Modal Logic for Open Minds


  • Author : Johan van Benthem
  • Publisher : Stanford Univ Center for the Study
  • Release Date : 2010
  • Genre: Philosophy
  • Pages : 381
  • ISBN 10 : NWU:35556040094005

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Modal Logic for Open Minds Book Description :

In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.

Proof Theory of Modal Logic Book

Proof Theory of Modal Logic


  • Author : Heinrich Wansing
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Philosophy
  • Pages : 318
  • ISBN 10 : 9789401727983

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Proof Theory of Modal Logic Book Description :

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Handbook of Philosophical Logic Book

Handbook of Philosophical Logic


  • Author : Dov M. Gabbay
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Philosophy
  • Pages : 788
  • ISBN 10 : 9789400962590

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Handbook of Philosophical Logic Book Description :

The chapters in the present volume go beyond 'classical' extensional logic with respect to one important factor: they all include among the semantic constituents representations of so-called 'possible worlds'. The inclusion of such 'indices' has turned out to be the semantic mainstay in dealing with a number of issues having to do with intensional features of natural and artificial languages. It is, of course, an open question whether 'possible world' semantics is in the final analysis the proper solution to the many problems and puzzles intensional constructions raise for the logical analysis of the many varieties of discourse. At present, there seem to be about as many opponents as proponents with regard to the usefulness of having the semantics of intensional languages based on possible world constructs. Some attempts to come to grips with intensional phenomena which are not couched in the possible world framework are discussed in Volume IV of the Handbook. Chapter 1 is an extensive survey of the main systems of (propositional) modal logic including the most important meta-mathematical results and the techniques used in establishing these. It introduces the basic terminology and semantic machinery applied in one way or another in many of the subsequent chapters. Chapter 2 discusses the most significant developments in (propositional) tense logic which can of course be regarded as a special kind of modal logic, where the possible world indices are simply (ordered) moments of time.