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Handbook Of Modal Logic

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Handbook of Modal Logic

Handbook of Modal Logic Book
Author : Patrick Blackburn,Johan F.A.K. van Benthem,Frank Wolter
Publisher : Elsevier
Release : 2006-11-03
ISBN : 9780080466668
Language : En, Es, Fr & De

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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 Modal Logic

Handbook of Modal Logic Book
Author : Patrick Blackburn,J. F. A. K. van Benthem,Frank Wolter
Publisher : Elsevier Science Limited
Release : 2007
ISBN : 9780444516909
Language : En, Es, Fr & De

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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 Key Features: - Articles contributed by the world's leading experts in modal logic - Computational approaches fully discussed - Contains well-written expository articles as well as advanced articles - Contemporary applications covered in depth - Articles contributed by the world's leading experts in modal logic - Computational approaches fully discussed - Contains well-written expository articles as well as advanced articles - Contemporary applications covered in depth

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer
Release : 2018-10-19
ISBN : 3319977555
Language : En, Es, Fr & De

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Book Description :

This eighteenth volume of the acclaimed Handbook of Philosophical Logic includes many contributors who are among the most famous leading figures of applied philosophical logic of our time. Coverage includes deontic logic, practical reasoning, homogeneous and heterogeneous logical proportion, and talmudic logic. Overall, it will appeal to students, practitioners, and researchers looking for an authoritative resource in these areas. The contributors first explore models in terms of dynamic logics for information-driven agency. The paradigm they use is dynamic-epistemic logics for knowledge and belief and their current extensions to the statics and dynamics of agents’ preferences. Next, in the presentation of preference based agency, coverage examines a large number of themes, including interactive social agents and scenarios with long term patterns emerging over time. From here, the book moves on to offer an introduction to homogeneous and heterogeneous logical proportions. Readers will also learn more about the general challenge that the problem of formalizing practical reasoning presents to logical theory. The contributors survey the existing resources that might contribute to the development of such a formalization. They conclude that, while a robust, adequate logic of practical reasoning is not yet in place, the materials for developing such a logic are now available. The last chapter explores topics that deal with the logic of Jewish law and the logic of the Talmud. This includes obligations and prohibitions in Talmudic deontic logic, the handling of loops in Talmudic logic, Temporal Talmudic logic, and quantum states and disjunctive attacks in Talmudic logic. The Talmudic logic system presented are also exported to general logic and to Artificial Intelligence.

Modal Logic

Modal Logic Book
Author : Patrick Blackburn,Maarten de Rijke,Yde Venema
Publisher : Cambridge University Press
Release : 2002-08-22
ISBN : 9780521527149
Language : En, Es, Fr & De

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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

Modal Logic for Philosophers Book
Author : James W. Garson
Publisher : Cambridge University Press
Release : 2013-11-25
ISBN : 1107512301
Language : En, Es, Fr & De

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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.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2002-08-31
ISBN : 9781402006654
Language : En, Es, Fr & De

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Book Description :

suchquestionsforcenturies(unrestrictedbythecapabilitiesofanyhard­ ware). Theprinciplesgoverningtheinteractionofseveralprocesses,forexample, areabstractansimilartoprinciplesgoverningthecooperationoftwolarge organisation.Adetailedrulebasedeffectivebutrigidbureaucracyisvery muchsimilartoacomplexcomputerprogramhandlingandmanipulating data. Myguessisthattheprinciplesunderlyingoneareverymuchthe sameasthoseunderlyingtheother. Ibelievethedayisnotfarawayinthefuturewhenthecomputerscientist willwakeuponemorningwiththerealisationthatheisactuallyakindof formalphilosopher! TheprojectednumberofvolumesforthisHandbookisabout18.The subjecthasevolvedanditsareashavebecomeinterrelatedtosuchanextent thatitnolongermakessensetodedicatevolumestotopics.However,the volumesdofollowsomenaturalgroupingsofchapters. Iwouldliketothankourauthorsarereadersfortheircontributionsand theircommitmentinmakingthisHandbookasuccess. Thanksalsoto ourpublicationadministratorMrsJ.Spurrforherusualdedicationand excellenceandtoKluwerAcademicPublishersfortheircontinuingsupport fortheHandbook. DovGabbay King'sCollegeLondon x Logic II IT Natural Program Artificialin­ Logic p- language controlspec­ telligence gramming processing ification, verification, concurrency Temporal Expressive Expressive Planning. Extension of logic poweroftense power for re­ Time depen­ Horn clause operators. currentevents. dent data. with time Temporal Specification Eventcalculus. capability. indices. Sepa­ of tempo- Persistence Eventcalculus. rationofpast ral control. throughtime­ Temporallogic fromfuture Decisionprob­ the Frame programming. Problem.Tem­ lems. Model checking. poral query language. temporal transactions. Modal logic. generalised Actionlogic Beliefrevision. Negation by Multi-modal quantifiers Inferential failure and logics databases modality Algorithmic Discourse rep­ New logics. Generaltheory Proceduralap­ proof resentation. Generic theo­ of reasoning. proachtologic Direct com- remprovers Non-monotonic putation on systems linguisticinput Non­ Resolving Loopchecking. Intrinsiclogical Negation by monotonic ambigui- Non-monotonic discipline for failure.Deduc­ reasoning ties. Machine decisionsabout AI. Evolving tivedatabases translation. loops. Faults and com­ Document insystems. municating classification. databases Relevance theory Probabilistic logicalanalysis Realtimesys­ Expert sys­ Semantics for and fuzzy oflanguage tems tems.Machine logicprograms logic learning Intuitionistic Quantifiers in Constructive Intuitionistic Horn clause logic logic reasoning and logicisabetter logic is really proof theory logical basis intuitionistic.

Handbook of Spatial Logics

Handbook of Spatial Logics Book
Author : Marco Aiello,Ian Pratt-Hartmann,Johan van Benthem
Publisher : Springer Science & Business Media
Release : 2007-09-04
ISBN : 1402055870
Language : En, Es, Fr & De

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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.

Logical Dynamics of Information and Interaction

Logical Dynamics of Information and Interaction Book
Author : Johan van Benthem
Publisher : Cambridge University Press
Release : 2011-09-29
ISBN : 1139500465
Language : En, Es, Fr & De

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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.

The Routledge Handbook of Modality

The Routledge Handbook of Modality Book
Author : Otávio Bueno
Publisher : Routledge
Release : 2020-12-30
ISBN : 9781138823310
Language : En, Es, Fr & De

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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.

The Routledge Handbook of Modality

The Routledge Handbook of Modality Book
Author : Otávio Bueno,Scott A. Shalkowski
Publisher : Routledge
Release : 2020-12-30
ISBN : 1317585283
Language : En, Es, Fr & De

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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 Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 9400962592
Language : En, Es, Fr & De

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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.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2013-06-29
ISBN : 9401704546
Language : En, Es, Fr & De

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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.

Handbook of Logic and Language

Handbook of Logic and Language Book
Author : Johan F.A.K. van Benthem,Alice ter Meulen
Publisher : Elsevier
Release : 2010-12-17
ISBN : 9780444537270
Language : En, Es, Fr & De

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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

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 9401003874
Language : En, Es, Fr & De

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Book Description :

The eighth volume of the Second Edition contains major contributions on the Logic of Questions, Sequent Systems for Modal Logics, Deontic Logic as well as Deontic Logic and Contrary-to-duties. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2013-08-04
ISBN : 9400766009
Language : En, Es, Fr & De

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Book Description :

This second edition of the Handbook of Philosophical Logic reflects great changes in the landscape of philosophical logic since the first edition. It gives readers an idea of that landscape and its relation to computer science and formal language and artificial intelligence. It shows how the increased demand for philosophical logic from computer science and artificial intelligence and computational linguistics accelerated the development of the subject directly and indirectly. This development in turn, directly pushed research forward, stimulated by the needs of applications. New logic areas became established and old areas were enriched and expanded. At the same time, it socially provided employment for generations of logicians residing in computer science, linguistics and electrical engineering departments which of course helped keep the logic community to thrive. The many contributors to this Handbook are active in these application areas and are among the most famous leading figures of applied philosophical logic of our times. ​

The Logic of Time

The Logic of Time Book
Author : Johan van Benthem
Publisher : Springer
Release : 2014-03-14
ISBN : 9789401579483
Language : En, Es, Fr & De

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Book Description :

The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.

British Logic in the Nineteenth Century

British Logic in the Nineteenth Century Book
Author : Dov M. Gabbay,John Woods
Publisher : North Holland
Release : 2008-03-24
ISBN : 9780444516107
Language : En, Es, Fr & De

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Book Description :

The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic. - 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

Logic and the Modalities in the Twentieth Century

Logic and the Modalities in the Twentieth Century Book
Author : Dov M. Gabbay,John Woods
Publisher : North Holland
Release : 2004
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the remarkable renaissance of modal logic in the 20th century. Beginning with the early systems of C.I. Lewis in 1912, modal logic was a fixture in the century's research programme in logic, but for many years it ran on a parallel track to the rich developments in the more dominant classical logic. One of the great achievements of classical logic was the comparatively early production of a deep semantics for it. Modal logic would have to wait until the seminal work of Hintikka, Kanger and Kripke in the late 1950s and early 1960s. With modal semantics now in hand, it is not too much to say that modal logic leapt its tracks and challenged classical logic head-on for dominance. Part of what makes this an interesting challenge is the sheer proliferation of well-studied systems that burst out of the modal research programme. Further expansion came by way of adaptation of model operators to epistemic and deontic interpretations, and an ensuing exuberance of further systems. Another important development was relevant logic, and with it a change to a more general conception of modal logic, in which the modalities of a system are now represented by a broader range of qualifications on its sentences. Under press of developments in computer science and argumentation theory (chiefly dialogue logic), recognition started to be given to sentence-qualifications other than necessity, obligatoriness and relevance. These include agents, times,tense, change, situations, roles, and with them the modalization of logic came to encompass, temporal and tense logic, dynamic logic, situation logic, dialogue logic, game theoretic logic, and much more. 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 AI, 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 logic's 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 senior undergraduates, graduate 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. · Unique. There is no other such work in English. · Authoritative. Authors of chapters are leading scholars. · Rich. Authors have not been constrained by scanty page limitations. · Detailed. Some chapters are the size of small monographs. · Comprehensive. The entire range of modal logic is covered. · Important. A singular contribution to the intellectual history of the 20th century. · Original. Contains the latest scholarly discoveries and interpretative insights · Exciting. Authors attack open questions with gusto.

Proof Computation and Agency

Proof  Computation and Agency Book
Author : Johan van Benthem,Amitabha Gupta,Rohit Parikh
Publisher : Springer
Release : 2011-04-15
ISBN : 9789400700819
Language : En, Es, Fr & De

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Book Description :

Proof, Computation and Agency: Logic at the Crossroads provides an overview of modern logic and its relationship with other disciplines. As a highlight, several articles pursue an inspiring paradigm called 'social software', which studies patterns of social interaction using techniques from logic and computer science. The book also demonstrates how logic can join forces with game theory and social choice theory. A second main line is the logic-language-cognition connection, where the articles collected here bring several fresh perspectives. Finally, the book takes up Indian logic and its connections with epistemology and the philosophy of science, showing how these topics run naturally into each other.

Philosophy of Logic

Philosophy of Logic Book
Author : Anonim
Publisher : Elsevier
Release : 2006-11-29
ISBN : 9780080466637
Language : En, Es, Fr & De

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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