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Quantification in Nonclassical Logic

Quantification in Nonclassical Logic
A Book

by Dov M. Gabbay,Dimitrij Skvortsov,Valentin Shehtman

  • Publisher : Elsevier
  • Release : 2009-06-20
  • Pages : 640
  • ISBN : 008093112X
  • Language : En, Es, Fr & De
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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.

Structural Analysis of Non-Classical Logics

Structural Analysis of Non-Classical Logics
The Proceedings of the Second Taiwan Philosophical Logic Colloquium

by Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin

  • Publisher : Springer
  • Release : 2015-10-16
  • Pages : 278
  • ISBN : 3662483572
  • Language : En, Es, Fr & De
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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 of non-classic logics, such as admissible models for modal logic, structural models for modal epistemology and for counterfactuals, and epistemological models for common knowledge and for public announcements; (ii) conceptual analysis of logical properties of, and formal semantics for, non-classical logics, such as sub-formula property, truthmaking, epistemic modality, behavioral strategies, speech acts and assertions. The structural analysis provided in this volume will appeal not only to graduate students and experts in non-classic logics, but also to readers from a wide range of disciplines, including computer science, cognitive science, linguistics, game theory and theory of action, to mention a few.

An Introduction to Non-Classical Logic

An Introduction to Non-Classical Logic
From If to Is

by Graham Priest

  • Publisher : Cambridge University Press
  • Release : 2008-04-10
  • Pages : 329
  • ISBN : 9781139469678
  • Language : En, Es, Fr & De
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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 to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

Labelled Non-Classical Logics

Labelled Non-Classical Logics
A Book

by Luca Viganò

  • Publisher : Springer Science & Business Media
  • Release : 2000-01-31
  • Pages : 291
  • ISBN : 9780792377498
  • Language : En, Es, Fr & De
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The subject of Labelled Non-Classical Logics is the development and investigation of a framework for the modular and uniform presentation and implementation of non-classical logics, in particular modal and relevance logics. Logics are presented as labelled deduction systems, which are proved to be sound and complete with respect to the corresponding Kripke-style semantics. We investigate the proof theory of our systems, and show them to possess structural properties such as normalization and the subformula property, which we exploit not only to establish advantages and limitations of our approach with respect to related ones, but also to give, by means of a substructural analysis, a new proof-theoretic method for investigating decidability and complexity of (some of) the logics we consider. All of our deduction systems have been implemented in the generic theorem prover Isabelle, thus providing a simple and natural environment for interactive proof development. Labelled Non-Classical Logics is essential reading for researchers and practitioners interested in the theory and applications of non-classical logics.

Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics

Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics
A Book

by Edward Craig

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 895
  • ISBN : 9780415187121
  • Language : En, Es, Fr & De
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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.

ECAI 2020

ECAI 2020
24th European Conference on Artificial Intelligence, 29 August–8 September 2020, Santiago de Compostela, Spain – Including 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020)

by G. De Giacomo,A. Catala,B. Dilkina

  • Publisher : IOS Press
  • Release : 2020-09-11
  • Pages : 3122
  • ISBN : 164368101X
  • Language : En, Es, Fr & De
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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.

Journal of Applied Non-classical Logics

Journal of Applied Non-classical Logics
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Quantifiers, Propositions and Identity

Quantifiers, Propositions and Identity
Admissible Semantics for Quantified Modal and Substructural Logics

by Robert Goldblatt

  • Publisher : Cambridge University Press
  • Release : 2011-07-14
  • Pages : 268
  • ISBN : 1107010527
  • Language : En, Es, Fr & De
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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 of quantification. The theory is worked out for systems with quantifiers ranging over actual objects, and over all possibilia, and for logics with existence and identity predicates and definite descriptions. The final chapter develops a new admissible 'cover semantics' for propositional and quantified relevant logic, adapting ideas from the Kripke-Joyal semantics for intuitionistic logic in topos theory. This book is for mathematical or philosophical logicians, computer scientists and linguists.

The Journal of Non-classical Logic

The Journal of Non-classical Logic
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1991
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Algebraic Methods in Logic and in Computer Science

Algebraic Methods in Logic and in Computer Science
A Book

by Cecylia Rauszer

  • Publisher : Unknown Publisher
  • Release : 1993
  • Pages : 342
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Bulletin of Symbolic Logic

The Bulletin of Symbolic Logic
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2009
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Revenge of the Liar

Revenge of the Liar
New Essays on the Paradox

by JC Beall,Jeffrey C. Beall

  • Publisher : Oxford University Press
  • Release : 2007-12-13
  • Pages : 374
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Fourteen new essays by some of the world's leading experts, together with an extensive introduction, examine the nature of the Liar paradox and its resistance to any attempt to solve it.

Logic: The Basics

Logic: The Basics
A Book

by Jc Beall,Shay Allen Logan

  • Publisher : Routledge
  • Release : 2017-04-20
  • Pages : 288
  • ISBN : 1317528603
  • Language : En, Es, Fr & De
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Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic (first monadic, then polyadic) · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.

Dictionary of Symbols of Mathematical Logic

Dictionary of Symbols of Mathematical Logic
A Book

by Robert Feys,Frederic Brenton Fitch

  • Publisher : Elsevier Science & Technology
  • Release : 1969
  • Pages : 175
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Canadian Philosophical Reviews

Canadian Philosophical Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Comptes Rendus Philosophiques

Comptes Rendus Philosophiques
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2002
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Essays on Wittgenstein in Honour of G.H. Von Wright

Essays on Wittgenstein in Honour of G.H. Von Wright
A Book

by Jaakko Hintikka

  • Publisher : Unknown Publisher
  • Release : 1976
  • Pages : 516
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Reports on Mathematical Logic

Reports on Mathematical Logic
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1984
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The Philosopher's Index

The Philosopher's Index
A Retrospective Index to U. S. Publications from 1940

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1978
  • Pages : 1619
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Beyond Two: Theory and Applications of Multiple-Valued Logic

Beyond Two: Theory and Applications of Multiple-Valued Logic
A Book

by Melvin Fitting,Ewa Orlowska

  • Publisher : Springer Science & Business Media
  • Release : 2003-01-09
  • Pages : 374
  • ISBN : 9783790815412
  • Language : En, Es, Fr & De
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This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.