Quantification in Nonclassical Logic

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  • Author : Dov M. Gabbay
  • Publisher : Elsevier
  • Pages : 640 pages
  • ISBN : 008093112X
  • Rating : /5 from reviews
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Download or Read online Quantification in Nonclassical Logic full in PDF, ePub and kindle. this book written by Dov M. Gabbay and published by Elsevier which was released on 20 June 2009 with total page 640 pages. We cannot guarantee that Quantification in Nonclassical Logic book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal logics, this book is the first detailed monograph in nonclassical first-order quantification. It includes results obtained during the past thirty years. The field is very large, so we confine ourselves with only two kinds of logics: modal and superintuitionistic. The main emphasis of Volume 1 is model-theoretic, and it concentrates on descriptions of different sound semantics and completeness problem --- even for these seemingly simple questions we have our hands full. The major part of the presented material has never been published before. Some results are very recent, and for other results we either give new proofs or first proofs in full detail.

Quantification in Nonclassical Logic

Quantification in Nonclassical Logic
  • Author : Dov M. Gabbay,Dimitrij Skvortsov,Valentin Shehtman
  • Publisher : Elsevier
  • Release : 20 June 2009
GET THIS BOOK Quantification in Nonclassical Logic

Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional

Structural Analysis of Non Classical Logics

Structural Analysis of Non Classical Logics
  • Author : Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
  • Publisher : Springer
  • Release : 16 October 2015
GET THIS BOOK Structural Analysis of Non Classical Logics

This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate logic. The book presents a wide range of applications of two well-known approaches in current research: (i) structural modeling of certain philosophical issues in the framework

An Introduction to Non Classical Logic

An Introduction to Non Classical Logic
  • Author : Graham Priest
  • Publisher : Cambridge University Press
  • Release : 10 April 2008
GET THIS BOOK An Introduction to Non Classical Logic

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation

Intro to Non Classical Logic 2ed

Intro to Non Classical Logic 2ed
  • Author : Anonim
  • Publisher : Unknown
  • Release : 17 August 2022
GET THIS BOOK Intro to Non Classical Logic 2ed

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation

Handbook of Modal Logic

Handbook of Modal Logic
  • Author : Patrick Blackburn,Johan F.A.K. van Benthem,Frank Wolter
  • Publisher : Elsevier
  • Release : 03 November 2006
GET THIS BOOK Handbook of Modal Logic

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

Quantifiers Propositions and Identity

Quantifiers  Propositions and Identity
  • Author : Robert Goldblatt
  • Publisher : Cambridge University Press
  • Release : 14 July 2011
GET THIS BOOK Quantifiers Propositions and Identity

Many systems of quantified modal logic cannot be characterised by Kripke's well-known possible worlds semantic analysis. This book shows how they can be characterised by a more general 'admissible semantics', using models in which there is a restriction on which sets of worlds count as propositions. This requires a new interpretation of quantifiers that takes into account the admissibility of propositions. The author sheds new light on the celebrated Barcan Formula, whose role becomes that of legitimising the Kripkean interpretation

Labelled Non Classical Logics

Labelled Non Classical Logics
  • Author : Luca Viganò
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOK Labelled Non Classical Logics

I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier

Hiroakira Ono on Substructural Logics

Hiroakira Ono on Substructural Logics
  • Author : Nikolaos Galatos,Kazushige Terui
  • Publisher : Springer Nature
  • Release : 13 December 2021
GET THIS BOOK Hiroakira Ono on Substructural Logics

This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property),

Neighborhood Semantics for Modal Logic

Neighborhood Semantics for Modal Logic
  • Author : Eric Pacuit
  • Publisher : Springer
  • Release : 15 November 2017
GET THIS BOOK Neighborhood Semantics for Modal Logic

This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness,

Logic Epistemology and the Unity of Science

Logic  Epistemology  and the Unity of Science
  • Author : Shahid Rahman,John Symons,Dov M. Gabbay,Jean Paul van Bendegem
  • Publisher : Springer Science & Business Media
  • Release : 16 March 2009
GET THIS BOOK Logic Epistemology and the Unity of Science

The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.

Essays on Non Classical Logic

Essays on Non Classical Logic
  • Author : Heinrich Wansing
  • Publisher : World Scientific
  • Release : 25 September 2001
GET THIS BOOK Essays on Non Classical Logic

This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of

Kripke s Worlds

Kripke   s Worlds
  • Author : Olivier Gasquet,Andreas Herzig,Bilal Said,François Schwarzentruber
  • Publisher : Springer Science & Business Media
  • Release : 20 November 2013
GET THIS BOOK Kripke s Worlds

Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been

Arnon Avron on Semantics and Proof Theory of Non Classical Logics

Arnon Avron on Semantics and Proof Theory of Non Classical Logics
  • Author : Ofer Arieli,Anna Zamansky
  • Publisher : Springer Nature
  • Release : 30 July 2021
GET THIS BOOK Arnon Avron on Semantics and Proof Theory of Non Classical Logics

This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and

Categories for the Working Philosopher

Categories for the Working Philosopher
  • Author : Elaine Landry
  • Publisher : Oxford University Press
  • Release : 19 October 2017
GET THIS BOOK Categories for the Working Philosopher

This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these