The Many Valued and Nonmonotonic Turn in Logic

Written By Dov M. Gabbay
The Many Valued and Nonmonotonic Turn in Logic
  • Publsiher : Elsevier
  • Release : 13 August 2007
  • ISBN : 9780080549392
  • Pages : 690 pages
  • Rating : 5/5 from 1 reviews
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Download or read book entitled The Many Valued and Nonmonotonic Turn in Logic by author: Dov M. Gabbay which was release on 13 August 2007 and published by Elsevier with total page 690 pages . This book available in PDF, EPUB and Kindle Format. The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence. The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained. In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs. The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.

The Many Valued and Nonmonotonic Turn in Logic

The Many Valued and Nonmonotonic Turn in Logic
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Elsevier
  • Release Date : 2007-08-13
  • Total pages : 690
  • ISBN : 9780080549392
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Summary : The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed ...

Handbook of the History of Logic The many valued and nonmonotonic turn in logic

Handbook of the History of Logic  The many valued and nonmonotonic turn in logic
  • Author : Dov M. Gabbay,John Hayden Woods
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Handbook of the History of Logic The many valued and nonmonotonic turn in logic written by Dov M. Gabbay,John Hayden Woods, published by which was released on 2004. Download full Handbook of the History of Logic The many valued and nonmonotonic turn in logic Books now! Available in ...

Encyclopedia of Philosophy

Encyclopedia of Philosophy
  • Author : Donald M. Borchert
  • Publisher : Thomson Gale/MacMillan Reference USA
  • Release Date : 2006
  • Total pages : 742
  • ISBN : 9780080549392
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Summary : This volume, covering entries from "Kabbalah" to "Marxist philosophy," presents articles on Eastern and Western philosophies, medical and scientific ethics, the Holocaust, terrorism, censorship, biographical entries, and much more....

Pluralism Transnationalism and Culture in Asian Law

Pluralism  Transnationalism and Culture in Asian Law
  • Author : Gary F Bell
  • Publisher : Flipside Digital Content Company Inc.
  • Release Date : 2018-02-14
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : This book stems from a symposium held at the Faculty of Law of the National University of Singapore in honour of the pioneer in the field of legal pluralism, Professor M.B. Hooker. It gathers essays from admirers and friends who add their own contributions on legal pluralism, transnationalism and ...

Deductive Systems in Traditional and Modern Logic

Deductive Systems in Traditional and Modern Logic
  • Author : Alex Citkin,UrszulaWybraniec-Skardowska
  • Publisher : MDPI
  • Release Date : 2020-11-18
  • Total pages : 298
  • ISBN : 9780080549392
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Summary : The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic....

Fundamenta Informaticae

Fundamenta Informaticae
  • Author : Polskie Towarzystwo Matematyczne
  • Publisher : Unknown
  • Release Date : 2002
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Fundamenta Informaticae written by Polskie Towarzystwo Matematyczne, published by which was released on 2002. Download full Fundamenta Informaticae Books now! Available in PDF, ePub and Kindle....

Principles of Knowledge Representation and Reasoning

Principles of Knowledge Representation and Reasoning
  • Author : James Allen,Richard E. Fikes,Erik Sandewall
  • Publisher : Morgan Kaufmann Pub
  • Release Date : 1991
  • Total pages : 602
  • ISBN : 9780080549392
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Summary : The proceedings of the Second International Conference on [title] held in Cambridge, Massachusetts, April 1991, comprise 55 papers on topics including the logical specifications of reasoning behaviors and representation formalisms, comparative analysis of competing algorithms and formalisms, and ana...

Non monotonic Extensions of Logic Programming

Non monotonic Extensions of Logic Programming
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1996
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Non monotonic Extensions of Logic Programming written by , published by which was released on 1996. Download full Non monotonic Extensions of Logic Programming Books now! Available in PDF, ePub and Kindle....

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Mathematical Reviews written by , published by which was released on 2008. Download full Mathematical Reviews Books now! Available in PDF, ePub and Kindle....

Proof Theory for Fuzzy Logics

Proof Theory for Fuzzy Logics
  • Author : George Metcalfe,Nicola Olivetti,Dov M. Gabbay
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-11-27
  • Total pages : 276
  • ISBN : 9780080549392
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Summary : Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing ...

Non monotonic Reasoning

Non monotonic Reasoning
  • Author : Yao Hua Tan
  • Publisher : Unknown
  • Release Date : 1992
  • Total pages : 198
  • ISBN : 9780080549392
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Summary : Read online Non monotonic Reasoning written by Yao Hua Tan, published by which was released on 1992. Download full Non monotonic Reasoning Books now! Available in PDF, ePub and Kindle....

Coherent Systems

Coherent Systems
  • Author : Karl Schlechta
  • Publisher : Elsevier
  • Release Date : 2004-09-21
  • Total pages : 468
  • ISBN : 9780080549392
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Summary : One aspect of common sense reasoning is reasoning about normal cases, e.g. a physician will first try to interpret symptoms by a common disease, and will take more exotic possibilities only later into account. Such "normality" can be encoded, e.g. by a relation, where case A is considered ...

Logic Programming and Non monotonic Reasoning

Logic Programming and Non monotonic Reasoning
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Logic Programming and Non monotonic Reasoning written by , published by which was released on 2004. Download full Logic Programming and Non monotonic Reasoning Books now! Available in PDF, ePub and Kindle....

Handbook of the History of Logic

Handbook of the History of Logic
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 9780080549392
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Summary : Read online Handbook of the History of Logic written by Dov M. Gabbay,John Woods, published by which was released on 2004. Download full Handbook of the History of Logic Books now! Available in PDF, ePub and Kindle....

A Treatise on Many valued Logics

A Treatise on Many valued Logics
  • Author : Siegfried Gottwald
  • Publisher : Research Studies PressLtd
  • Release Date : 2001
  • Total pages : 604
  • ISBN : 9780080549392
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Summary : A growing interest in many-valued logic has developed which to a large extent is based on applications, intended as well as already realised ones. These applications range from the field of computer science, e.g. in the areas of automated theorem proving, approximate reasoning, multi-agent systems, switching theory, and program ...