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Handbook of Modal Logic

Handbook of Modal Logic
Author: Patrick Blackburn
Publisher: Elsevier
Total Pages: 1260
Release: 2006-11-03
Genre: Mathematics
ISBN: 9780080466668

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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


Modal Logic for Philosophers

Modal Logic for Philosophers
Author: James W. Garson
Publisher: Cambridge University Press
Total Pages: 429
Release: 2006-08-14
Genre: Mathematics
ISBN: 0521682290

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


Modal Logic

Modal Logic
Author: Patrick Blackburn
Publisher: Cambridge University Press
Total Pages: 574
Release: 2002-08-22
Genre: Computers
ISBN: 1316101959

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This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.


First-Order Modal Logic

First-Order Modal Logic
Author: M. Fitting
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2012-12-06
Genre: Philosophy
ISBN: 9401152926

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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.


The Routledge Handbook of Modality

The Routledge Handbook of Modality
Author: Otávio Bueno
Publisher: Routledge
Total Pages: 432
Release: 2020-12-29
Genre: Philosophy
ISBN: 1317585283

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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.


Modal Logic

Modal Logic
Author: Brian F. Chellas
Publisher: Cambridge University Press
Total Pages: 316
Release: 1980-02-29
Genre: Mathematics
ISBN: 9780521295154

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An introductory textbook on modal logic the logic of necessity and possibility.


Philosophy of Logic

Philosophy of Logic
Author:
Publisher: Elsevier
Total Pages: 1219
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


The Blackwell Guide to Philosophical Logic

The Blackwell Guide to Philosophical Logic
Author: Lou Goble
Publisher: Wiley-Blackwell
Total Pages: 510
Release: 2001-08-30
Genre: Philosophy
ISBN: 9780631206927

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This volume presents a definitive introduction to twenty core areas of philosophical logic including classical logic, modal logic, alternative logics and close examinations of key logical concepts. The chapters, written especially for this volume by internationally distinguished logicians, philosophers, computer scientists and linguists, provide comprehensive studies of the concepts, motivations, methods, formal systems, major results and applications of their subject areas. The Blackwell Guide to Philosophical Logic engages both general readers and experienced logicians and provides a solid foundation for further study.


Handbook of Epistemic Logic

Handbook of Epistemic Logic
Author: Hans van Ditmarsch
Publisher:
Total Pages: 676
Release: 2015-02-05
Genre: Mathematics
ISBN: 9781848901582

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Epistemic logic and, more generally, logics of knowledge and belief, originated with philosophers such as Jaakko Hintikka and David Lewis in the early 1960s. Since then, such logics have played a significant role not only in philosophy, but also in computer science, artificial intelligence, and economics. This handbook reports significant progress in a field that, while more mature, continues to be very active. This book should make it easier for new researchers to enter the field, and give experts a chance to appreciate work in related areas. The book starts with a gentle introduction to the logics of knowledge and belief; it gives an overview of the area and the material covered in the book. The following eleven chapters, each written by a leading researcher (or researchers), cover the topics of only knowing, awareness, knowledge and probability, knowledge and time, the dynamics of knowledge and of belief, model checking, game theory, agency, knowledge and ability, and security protocols. The chapters have been written so that they can be read independently and in any order. Each chapter ends with a section of notes that provides some historical background, including references, and a detailed bibliography.


Modal Logic for Open Minds

Modal Logic for Open Minds
Author: Johan van Benthem
Publisher:
Total Pages: 402
Release: 2010
Genre: Mathematics
ISBN:

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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.