classical and nonclassical logics

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An Introduction To Non Classical Logic

Author : Graham Priest
ISBN : 1139469673
Genre : Science
File Size : 43. 84 MB
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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.

Classical And Nonclassical Logics

Author : Eric Schechter
ISBN : 0691122792
Genre : Mathematics
File Size : 45. 76 MB
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Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Labelled Non Classical Logics

Author : Luca Viganò
ISBN : 9781475732085
Genre : Philosophy
File Size : 42. 36 MB
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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 isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Structural Analysis Of Non Classical Logics

Author : Syraya Chin-Mu Yang
ISBN : 9783662483572
Genre : Philosophy
File Size : 47. 20 MB
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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.

Essays On Non Classical Logic

Author : Heinrich Wansing
ISBN : 9789810247355
Genre : Mathematics
File Size : 72. 35 MB
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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 negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic.

Journal Of Applied Non Classical Logics

Author :
ISBN : UOM:39015081659248
Genre : Logic
File Size : 77. 3 MB
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Einf Hrung In Die Nicht Klassische Logik

Author : Graham Priest
ISBN : 3897855429
Genre : Nonclassical mathematical logic
File Size : 69. 99 MB
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Belief Revision In Non Classical Logics

Author : Márcio Moretto Ribeiro
ISBN : 9781447141860
Genre : Computers
File Size : 36. 83 MB
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Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics. Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.

Provability Computability And Reflection

Author : Lev D. Beklemishev
ISBN : 0080954987
Genre : Mathematics
File Size : 59. 79 MB
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Provability, Computability and Reflection

Automated Theorem Proving In Non Classical Logics

Author : Paul B. Thistlewaite
ISBN : STANFORD:36105032421294
Genre : Mathematics
File Size : 78. 22 MB
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