December 6, 2020

Download Ebook Free The Many Valued And Nonmonotonic Turn In 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
Category : Mathematics
Total pages :690
GET BOOK

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.

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
Category : Logic
Total pages :129
GET BOOK

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
Category : Law
Total pages :129
GET BOOK

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 culture in Asia. The book opens with an account of M.B. Hooker colourful and prolific career. The authors then approach legal pluralism through legal theory, legal anthropology, comparative law, law and religion, constitutional law, even Islamic art, thus reflecting the broad approaches of Professor Hooker's scholarship. While most of the book focuses mainly on Southeast Asia, it also reaches out to all of Asia up to Israel, and even includes a chapter comparing Indonesia and Egypt.

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
Category : Mathematics
Total pages :298
GET BOOK

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.

Advances in Fuzzy Logic and Technology 2017

Advances in Fuzzy Logic and Technology 2017
Author : Janusz Kacprzyk,Eulalia Szmidt,Slawomir Zadrożny,K. T. Atanassov,Maciej Krawczak
Publisher : Springer
Release Date : 2017-08-29
Category : Technology & Engineering
Total pages :628
GET BOOK

This volume constitutes the proceedings of two collocated international conferences: EUSFLAT-2017 – the 10th edition of the flagship Conference of the European Society for Fuzzy Logic and Technology held in Warsaw, Poland, on September 11–15, 2017, and IWIFSGN’2017 – The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, held in Warsaw on September 13–15, 2017. The conferences were organized by the Systems Research Institute, Polish Academy of Sciences, Department IV of Engineering Sciences, Polish Academy of Sciences, and the Polish Operational and Systems Research Society in collaboration with the European Society for Fuzzy Logic and Technology (EUSFLAT), the Bulgarian Academy of Sciences and various European universities. The aim of the EUSFLAT-2017 was to bring together theoreticians and practitioners working on fuzzy logic, fuzzy systems, soft computing and related areas and to provide a platform for exchanging ideas and discussing the l atest trends and ideas, while the aim of IWIFSGN’2017 was to discuss new developments in extensions of the concept of a fuzzy set, such as an intuitionistic fuzzy set, as well as other concepts, like that of a generalized net. The papers included, written by leading international experts, as well as the special sessions and panel discussions contribute to the development the field, strengthen collaborations and intensify networking.

Logic from Russell to Church

Logic from Russell to Church
Author : Dov M. Gabbay,John Woods
Publisher : Elsevier
Release Date : 2009-06-16
Category : Mathematics
Total pages :1068
GET BOOK

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

Handbook of the History of Logic

Handbook of the History of Logic
Author : Dov M. Gabbay,John Woods
Publisher : Unknown
Release Date : 2004
Category : Logic
Total pages :129
GET BOOK

Encyclopedia of Philosophy

Encyclopedia of Philosophy
Author : Donald M. Borchert
Publisher : Thomson Gale/MacMillan Reference USA
Release Date : 2006
Category : Electronic books
Total pages :6200
GET BOOK

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.

Hyperbolic Systems of Conservation Laws

Hyperbolic Systems of Conservation Laws
Author : Philippe G. LeFloch
Publisher : Springer Science & Business Media
Release Date : 2002-07-01
Category : Mathematics
Total pages :294
GET BOOK

This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.

Fuzzy Equational Logic

Fuzzy Equational Logic
Author : Radim Belohlávek,Radim B?lohlávek,Vilem Vychodil
Publisher : Springer Science & Business Media
Release Date : 2005-08-26
Category : Computers
Total pages :283
GET BOOK

Mathematical Reviews

Mathematical Reviews
Author : Anonim
Publisher : Unknown
Release Date : 2008
Category : Mathematics
Total pages :129
GET BOOK

Lattice-Valued Logic

Lattice-Valued Logic
Author : Yang Xu,Da Ruan,Keyun Qin,Jun Liu
Publisher : Springer
Release Date : 2012-11-02
Category : Technology & Engineering
Total pages :390
GET BOOK

Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems. In this textbook for the first time a general introduction on lattice-valued logic is given. It systematically summarizes research from the basic notions up to recent results on lattice implication algebras, lattice-valued logic systems based on lattice implication algebras, as well as the corresponding reasoning theories and methods. The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.

Non-Monotonic Extensions of Logic Programming

Non-Monotonic Extensions of Logic Programming
Author : Jurgen Dix,Louis M. Pereira,Teodor C. Przymusinski
Publisher : Springer Science & Business Media
Release Date : 1995-06-20
Category : Computers
Total pages :229
GET BOOK

This volume is based on papers presented during the ICLP '94 Workshop on Nonmonotonic Extensions of Logic Programming and on papers solicited afterwards from key researchers participating in the workshop. In total 10 carefully refereed, revised, full research papers on semantics and computational aspects of logic programs are included. Logic programs rely on a nonmonotonic operator often referred to as negation by failure or negation by default. The nonmonoticity of this operator allows to apply results from the area of nonmonotonic theories to the investigation of logic programs (and vice versa). This volume is devoted to the interdependence of nonmonotonic formalisms and logic programming.

Non-Monotonic Extensions of Logic Programming

Non-Monotonic Extensions of Logic Programming
Author : Germany) NMELP'96 (2nd : 1996 : Bad Honnef,Juergen Dix,Luis Moniz Pereira,Teodor C. Przymusinski
Publisher : Springer Science & Business Media
Release Date : 1997-04-09
Category : Computers
Total pages :224
GET BOOK

This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on Non-Monotonic Extensions of Logic Programming, NMELP '96, held in Bad Honnef, Germany, in September 1996. The nine full papers presented in the volume in revised version were carefully reviewed and selected from a total of 18 submissions; the set of papers addresses theoretical, applicational and implementational issues and reflects the current state of the art in the area of non-monotonic extensions of logic programming. An introductory survey by the volume editors entitled "Prolegomena to Logic Programming for Non-Monotonic Reasoning" deserves special mentioning; it contains a bibliography listing 136 entries.

Explanatory Nonmonotonic Reasoning

Explanatory Nonmonotonic Reasoning
Author : Alexander Bochman
Publisher : World Scientific
Release Date : 2005-01
Category : Computers
Total pages :408
GET BOOK

Many approaches in the field of nonmonotonic and ?commonsense? reasoning are actually different representations of the same basic ideas and constructions. This book gives a logical formalization of the original, explanatory approach to nonmonotonic reasoning. It uses the basic formalism of biconsequence relations, as well as derived systems of default, autoepistemic and causal inference, to cover in a single framework such diverse systems as default logic, autoepistemic and modal nonmonotonic logics, input/output and causal logics, argumentation theory, and semantics of general logic programs with negation as failure. This approach provides a clear separation between logical (monotonic) and nonmonotonic aspects of nonmonotonic reasoning. The separation allows, in particular, to single out the logics underlying modern logic programming and restore thereby the connection between logic programming and logic.