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Modal Logic An Introduction To Its Syntax And Semantics

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Modal Logic

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Modal Logic by Nino B. Cocchiarella,Max A. Freund Book Summary:

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight. All of the S1-S5 modal logics of Lewis and Langford, among others, are constructed. A matrix, or many-valued semantics, for sentential modal logic is formalized, and an important result that no finite matrix can characterize any of the standard modal logics is proven. Exercises, some of which show independence results, help to develop logical skills. A separate sentential modal logic of logical necessity in logical atomism is also constructed and shown to be complete and decidable. On the first-order level of the logic of logical necessity, the modal thesis of anti-essentialism is valid and every de re sentence is provably equivalent to a de dicto sentence. An elegant extension of the standard sentential modal logics into several first-order modal logics is developed. Both a first-order modal logic for possibilism containing actualism as a proper part as well as a separate modal logic for actualism alone are constructed for a variety of modal systems. Exercises on this level show the connections between modal laws and quantifier logic regarding generalization into, or out of, modal contexts and the conditions required for the necessity of identity and non-identity. Two types of second-order modal logics, one possibilist and the other actualist, are developed based on a distinction between existence-entailing concepts and concepts in general. The result is a deeper second-order analysis of possibilism and actualism as ontological frameworks. Exercises regarding second-order predicate quantifiers clarify the distinction between existence-entailing concepts and concepts in general. Modal Logic is ideally suited as a core text for graduate and undergraduate courses in modal logic, and as supplementary reading in courses on mathematical logic, formal ontology, and artificial intelligence.

Modal Logic

Modal Logic An Introduction To Its Syntax And Semantics [Pdf/ePub] eBook

Modal Logic by Brian F. Chellas Book Summary:

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.

The Oxford Handbook of Philosophy of Time

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The Oxford Handbook of Philosophy of Time by Craig Callender Book Summary:

This is the first comprehensive book on the philosophy of time. Leading philosophers discuss the metaphysics of time, our experience and representation of time, the role of time in ethics and action, and philosophical issues in the sciences of time, especially quantum mechanics and relativity theory.

Natural Language Semantics

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Natural Language Semantics by Brendan S. Gillon Book Summary:

An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline. This textbook offers a comprehensive introduction to the fundamentals of those approaches to natural language semantics that use the insights of logic. Many other texts on the subject focus on presenting a particular theory of natural language semantics. This text instead offers an overview of the empirical domain (drawn largely from standard descriptive grammars of English) as well as the mathematical tools that are applied to it. Readers are shown where the concepts of logic apply, where they fail to apply, and where they might apply, if suitably adjusted. The presentation of logic is completely self-contained, with concepts of logic used in the book presented in all the necessary detail. This includes propositional logic, first order predicate logic, generalized quantifier theory, and the Lambek and Lambda calculi. The chapters on logic are paired with chapters on English grammar. For example, the chapter on propositional logic is paired with a chapter on the grammar of coordination and subordination of English clauses; the chapter on predicate logic is paired with a chapter on the grammar of simple, independent English clauses; and so on. The book includes more than five hundred exercises, not only for the mathematical concepts introduced, but also for their application to the analysis of natural language. The latter exercises include some aimed at helping the reader to understand how to formulate and test hypotheses.

Modal Logic

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Modal Logic by Patrick Blackburn,Maarten de Rijke,Yde Venema Book Summary:

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

Logic for Applications

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Logic for Applications by Anil Nerode,Richard A. Shore Book Summary:

In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

The Logic of Sortals

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The Logic of Sortals by Max A. Freund Book Summary:

Sortal concepts are at the center of certain logical discussions and have played a significant role in solutions to particular problems in philosophy. Apart from logic and philosophy, the study of sortal concepts has found its place in specific fields of psychology, such as the theory of infant cognitive development and the theory of human perception. In this monograph, different formal logics for sortal concepts and sortal-related logical notions (such as sortal identity and first-order sortal quantification) are characterized. Most of these logics are intensional in nature and possess, in addition, a bidimensional character. That is, they simultaneously represent two different logical dimensions. In most cases, the dimensions are those of time and natural necessity, and, in other cases, those of time and epistemic necessity. Another feature of the logics in question concerns second-order quantification over sortal concepts, a logical notion that is also represented in the logics. Some of the logics adopt a constant domain interpretation, others a varying domain interpretation of such quantification. Two of the above bidimensional logics are philosophically grounded on predication sortalism, that is, on the philosophical view that predication necessarily requires sortal concepts. Another bidimensional logic constitutes a logic for complex sortal predicates. These three sorts of logics are among the important novelties of this work since logics with similar features have not been developed up to now, and they might be instrumental for the solution of philosophically significant problems regarding sortal predicates. The book assumes a modern variant of conceptualism as a philosophical background. For this reason, the approach to sortal predicates is in terms of sortal concepts. Concepts, in general, are here understood as intersubjective realizable cognitive capacities. The proper features of sortal concepts are determined by an analysis of the main features of sortal predicates. Posterior to this analysis, the sortal-related logical notions represented in the above logics are discussed. There is also a discussion on the extent to which the set-theoretic formal semantic systems of the book capture different aspects of the conceptualist approach to sortals. These different semantic frameworks are also related to realist and nominalist approaches to sortal predicates, and possible modifications to them are considered that might represent those alternative approaches.

Principles of Knowledge Representation and Reasoning

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Principles of Knowledge Representation and Reasoning by A. G. Cohn,Lenhart Schubert,Stuart Charles Shapiro Book Summary:

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Meaning and Necessity

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Meaning and Necessity by Rudolf Carnap Book Summary:

"This book is valuable as expounding in full a theory of meaning that has its roots in the work of Frege and has been of the widest influence. . . . The chief virtue of the book is its systematic character. From Frege to Quine most philosophical logicians have restricted themselves by piecemeal and local assaults on the problems involved. The book is marked by a genial tolerance. Carnap sees himself as proposing conventions rather than asserting truths. However he provides plenty of matter for argument."—Anthony Quinton, Hibbert Journal

Language and Logics

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Language and Logics by Howard Gregory Book Summary:

Taking linguistics students beyond the classical forms often taught in introductory courses, Language and Logics offers a comprehensive introduction to the wide variety of useful non-classical logics that are commonly used in research. Including a brief review of classical logic and its major assumptions, this textbook provides a guided tour of modal, many valued and substructural logics. The textbook starts from simple and intuitive concepts, clearly explaining the logics of language for linguistics students who have little previous knowledge of logic or mathematics. Issues are presented and discussed clearly before going on to introduce symbolic notation.While not avoiding technical detail, the book focuses throughout on helping students develop an intuitive understanding of the field, with particular attention to conceptual questions and to the tailoring of logical systems to thinking about different applications in linguistics and beyond. This is an ideal introductory volume for advanced undergraduates and beginning postgraduate students in linguistics, and for those specializing in semantics.

From Modal Logic to Deductive Databases

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From Modal Logic to Deductive Databases by Paul Gochet,Eric Grégoire,Pascal Gribomont,Guy Hulin,Alain Pirotte,Dominique Roelants,Dominique Snyers,Marc Vauclair,Pierre Wolper Book Summary:

Languages and logics; Intensional logic and natural language; Montague's sematics; Temporal logic; Formalization of revisable reasoning; Logic and databases.

Type-logical Semantics

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Type-logical Semantics by Bob Carpenter Book Summary:

The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material.

Concise Encyclopedia of Philosophy of Language

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Concise Encyclopedia of Philosophy of Language by P. Lamarque,R. E. Asher Book Summary:

Philosophers have had an interest in language from the earliest times but the twentieth century, with its so-called 'linguistic turn' in philosophy, has seen a huge expansion of work focused specifically on language and its foundations. No branch of philosophy has been unaffected by this shift of emphasis. It is timely at the end of the century to review and assess the vast range of issues that have been developed and debated in this central area. The distinguished international contributors present a clear, accessible guide to the fundamental questions raised by the philosophers about language. Contributions include Graeme Forbes on necessity, Susan Haack on deviant logics, Paul Horwich on truth, Charles Travis on Wittgenstein, L.J. Cohen on linguistic philosophy, Ruth Kempson on semantics and syntax and Christopher Hookway on ontology, to name but a few. A wide range of topics are covered from the metaphysics and ontology of language, language and mind, truth and meaning, to theories or reference, speech act theory, philosophy of logic and formal semantics. There are also articles on key figures from the twentieth century and earlier. Based on the foundation provided by the award-winning Encyclopedia of Language and Linguistics this single volume provides a collection of articles that will be an invaluable reference tool for all those interested in the area of philosophy of language, and also to those in cognitive science and psychology. All the articles have been thoroughly revised and updated. This volume gives a unique survey of topics that are at the very core of contemporary philosophy.

Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics

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Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics by Edward Craig Book Summary:

Review: "Depth and breadth of coverage, clarity of presentation, impressive bibliographies, excellent use of cross references, and an extensive index combine to make this an impressive reference work. The contributors have addressed both current and past scholarship on world philosophy and religion and have produced a worthy successor to Macmillan's 1967 Encyclopedia of Philosophy. It will be read and understood by the educated public as well as scholars and will be a fine addition to academic and large public library reference collections."--"Outstanding Reference Sources : the 1999 Selection Sources Committee, RUSA, ALA.

Studies in Formal Semantics

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Studies in Formal Semantics by Franz Guenthner,Christian Rohrer Book Summary:

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A Bibliovect Guide to the Literature in English and Theoretical Syntax

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A Bibliovect Guide to the Literature in English and Theoretical Syntax by Lawrence R. Smith Book Summary:

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Possibilities and Paradox

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Possibilities and Paradox by J. C. Beall,Bas C. Van Fraassen Book Summary:

"The book opens up topics to debate, suitable for an intermediate course in logic. Each chapter contains innovative features that guide us through the subject: exercises to give students hands-on experience, examples to demonstrate the application of concepts, and lists of further reading."--Jacket.

Modal Logic for Philosophers

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Modal Logic for Philosophers by James W. Garson Book Summary:

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

ECAI 2020

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ECAI 2020 by G. De Giacomo,A. Catala,B. Dilkina Book Summary:

This book presents the proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), held in Santiago de Compostela, Spain, from 29 August to 8 September 2020. The conference was postponed from June, and much of it conducted online due to the COVID-19 restrictions. The conference is one of the principal occasions for researchers and practitioners of AI to meet and discuss the latest trends and challenges in all fields of AI and to demonstrate innovative applications and uses of advanced AI technology. The book also includes the proceedings of the 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020) held at the same time. A record number of more than 1,700 submissions was received for ECAI 2020, of which 1,443 were reviewed. Of these, 361 full-papers and 36 highlight papers were accepted (an acceptance rate of 25% for full-papers and 45% for highlight papers). The book is divided into three sections: ECAI full papers; ECAI highlight papers; and PAIS papers. The topics of these papers cover all aspects of AI, including Agent-based and Multi-agent Systems; Computational Intelligence; Constraints and Satisfiability; Games and Virtual Environments; Heuristic Search; Human Aspects in AI; Information Retrieval and Filtering; Knowledge Representation and Reasoning; Machine Learning; Multidisciplinary Topics and Applications; Natural Language Processing; Planning and Scheduling; Robotics; Safe, Explainable, and Trustworthy AI; Semantic Technologies; Uncertainty in AI; and Vision. The book will be of interest to all those whose work involves the use of AI technology.

Linguistics

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Linguistics by N.A Book Summary:

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Applications of Uncertainty Formalisms

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Applications of Uncertainty Formalisms by Anthony Hunter Book Summary:

An introductory review of uncertainty formalisms by the volume editors begins the volume. The first main part of the book introduces some of the general problems dealt with in research. The second part is devoted to case studies; each presentation in this category has a well-delineated application problem and an analyzed solution based on an uncertainty formalism. The final part reports on developments of uncertainty formalisms and supporting technology, such as automated reasoning systems, that are vital to making these formalisms applicable. The book ends with a useful subject index. There is considerable synergy between the papers presented. The representative collection of case studies and associated techniques make the volume a particularly coherent and valuable resource. It will be indispensable reading for researchers and professionals interested in the application of uncertainty formalisms as well as for newcomers to the topic.

ECAI 92

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ECAI 92 by Bernd Neumann Book Summary:

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Journal of Applied Non-classical Logics

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Journal of Applied Non-classical Logics by N.A Book Summary:

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The Philosopher's Index

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The Philosopher's Index by Richard H. Lineback Book Summary:

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Short Introduction to Modal Logic

Modal Logic An Introduction To Its Syntax And Semantics [Pdf/ePub] eBook

Short Introduction to Modal Logic by Grigori Mints Book Summary:

Modal Logic can be characterized as the logic of necessity and possibility, of 'must be' and 'may be'. A Short Introduction to Modal Logic presents both semantic and syntactic features of the subject and illustrates them by detailed analyses of the three best-known modal systems S5, S4 and T. The book concentrates on the logical aspects of the subject and provides philosophical motivations to show the point of the formal work. The coverage is self-contained, including a summary of the necessary aspects of classical logic which it presupposes. A set of exercises is included in the final chapter.

Collegium Logicum

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Collegium Logicum by N.A Book Summary:

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The Rise of Modern Logic: from Leibniz to Frege

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The Rise of Modern Logic: from Leibniz to Frege by Professor of Computing Science Department of Computing Dov M Gabbay,Dov M. Gabbay,John Woods,Stephan Hartmann Book Summary:

In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.

Ω-Bibliography of Mathematical Logic

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Ω-Bibliography of Mathematical Logic by Wolfgang Rautenberg Book Summary:

Gert H. Muller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg II. Non-classical Logics W. Rautenberg III. Model Theory H. -D. Ebbinghaus IV. Recursion Theory P. G. Hinman V. Set Theory A. R. Blass VI. Proof Theory; Constructive Mathematics J. E. Kister; D. van Dalen & A. S. Troelstra.

IJCAI

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IJCAI by N.A Book Summary:

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General Catalog -- University of California, Santa Cruz

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General Catalog -- University of California, Santa Cruz by University of California, Santa Cruz Book Summary:

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The Modern Schoolman

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The Modern Schoolman by N.A Book Summary:

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Boston Studies in the Philosophy of Science

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Boston Studies in the Philosophy of Science by Giovanna Corsi,Maria Luisa Dalla Chiara,G. C. Ghirardi Book Summary:

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Introduction to Montague Semantics

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Introduction to Montague Semantics by D. R. Dowty,R. Wall,S. Peters Book Summary:

In this book we hope to acquaint the reader with the fundamentals of truth conditional model-theoretic semantics, and in particular with a version of this developed by Richard Montague in a series of papers published during the 1960's and early 1970's. In many ways the paper 'The Proper Treatment of Quantification in Ordinary English' (commonly abbreviated PTQ) represents the culmination of Montague's efforts to apply the techniques developed within mathematical logic to the semantics of natural languages, and indeed it is the system outlined there that people generally have in mind when they refer to "Montague Grammar". (We prefer the term "Montague Semantics" inasmuch as a grammar, as conceived of in current linguistics, would contain at least a phonological component, a morphological component, and other subsystems which are either lacking entirely or present only in a very rudi mentary state in the PTQ system. ) Montague's work has attracted increasing attention in recent years among linguists and philosophers since it offers the hope that semantics can be characterized with the same formal rigor and explicitness that transformational approaches have brought to syntax. Whether this hope can be fully realized remains to be seen, but it is clear nonetheless that Montague semantics has already established itself as a productive para digm, leading to new areas of inquiry and suggesting new ways of conceiving of theories of natural language. Unfortunately, Montague's papers are tersely written and very difficult to follow unless one has a considerable background in logical semantics.

Proceedings of the Eighth Biennial Conference of the Canadian Society for Computational Studies of Intelligence, University of Ottawa, Ottawa, Ontario, Canada 22-25 May 1990

Modal Logic An Introduction To Its Syntax And Semantics [Pdf/ePub] eBook

Proceedings of the Eighth Biennial Conference of the Canadian Society for Computational Studies of Intelligence, University of Ottawa, Ottawa, Ontario, Canada 22-25 May 1990 by Canadian Society for Computational Studies of Intelligence. Conference,Canadian Society for Computational Studies of Intelligence,National Research Council Canada Book Summary:

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Intelligent Agents

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Intelligent Agents by N.A Book Summary:

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Mathematical Reviews

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Mathematical Reviews by N.A Book Summary:

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