The Many Valued and Nonmonotonic Turn in Logic

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.

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  • Author : Dov M. Gabbay
  • Publisher : Elsevier
  • Pages : 690 pages
  • ISBN : 9780080549392
  • Rating : 5/5 from 1 reviews
CLICK HERE TO GET THIS BOOKThe 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 : 13 August 2007
GET THIS BOOKThe Many Valued and Nonmonotonic Turn in Logic

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

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 : 14 February 2018
GET THIS BOOKPluralism, Transnationalism and Culture in Asian Law

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,

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 : 29 August 2017
GET THIS BOOKAdvances in Fuzzy Logic and Technology 2017

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

Proposal for the Formalization of Dialectical Logic

Proposal for the Formalization of Dialectical Logic
  • Author : José Luis Usó-Doménech ,Josué Antonio Nescolarde-Selva ,Lorena Segura-Abad
  • Publisher : Infinite Study
  • Release : 19 October 2021
GET THIS BOOKProposal for the Formalization of Dialectical Logic

Classical logic is typically concerned with abstract analysis. The problem for a synthetic logic is to transcend and unify available data to reconstruct the object as a totality. Three rules are proposed to pass from classic logic to synthetic logic. We present the category logic of qualitative opposition using examples from various sciences. This logic has been defined to include the neuter as part of qualitative opposition.

A Logical Theory of Causality

A Logical Theory of Causality
  • Author : Alexander Bochman
  • Publisher : MIT Press
  • Release : 17 August 2021
GET THIS BOOKA Logical Theory of Causality

A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference. In this book, Alexander Bochman presents a general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference, basing it on a supposition that causal reasoning is not a competitor of logical reasoning but its complement for situations lacking logically sufficient data or knowledge. Bochman also explores the relationship of this theory with the popular structural equation approach

Transnational Law

Transnational Law
  • Author : Miguel Maduro,Kaarlo Tuori,Suvi Sankari
  • Publisher : Cambridge University Press
  • Release : 01 May 2014
GET THIS BOOKTransnational Law

Examination of the effects of law's de-nationalisation by placing European law in the context of transnational law.

Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications

Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications
  • Author : Jesús Medina,Manuel Ojeda-Aciego,José Luis Verdegay,Irina Perfilieva,Bernadette Bouchon-Meunier,Ronald R. Yager
  • Publisher : Springer
  • Release : 21 June 2018
GET THIS BOOKInformation Processing and Management of Uncertainty in Knowledge-Based Systems. Applications

This three volume set (CCIS 853-855) constitutes the proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2017, held in Cádiz, Spain, in June 2018. The 193 revised full papers were carefully reviewed and selected from 383 submissions. The papers are organized in topical sections on advances on explainable artificial intelligence; aggregation operators, fuzzy metrics and applications; belief function theory and its applications; current techniques to model, process and describe time series; discrete models and

Logics in Artificial Intelligence

Logics in Artificial Intelligence
  • Author : Francesco Calimeri,Nicola Leone,Marco Manna
  • Publisher : Springer
  • Release : 06 May 2019
GET THIS BOOKLogics in Artificial Intelligence

This book constitutes the proceedings of the 16th European Conference on Logics in Artificial Intelligence, JELIA 2019, held in Rende, Italy, in May 2019. The 50 full papers and 10 short papers included in this volume were carefully reviewed and selected from 101 submissions. Additionally, the book contains 3 invited papers. The accepted papers span a number of areas within Logics in AI, including: belief revision and argumentation; causal, defeasible and inductive reasoning; conditional, probabilistic and propositional logic; description logics; logic programming; modal and default logic;

Advances in Computational Intelligence, Part II

Advances in Computational Intelligence, Part II
  • Author : Salvatore Greco,Bernadette Bouchon-Meunier,Giulianella Coletti,Mario Fedrizzi,Benedetto Matarazzo,Ronald R. Yager
  • Publisher : Springer
  • Release : 20 July 2012
GET THIS BOOKAdvances in Computational Intelligence, Part II

These four volumes (CCIS 297, 298, 299, 300) constitute the proceedings of the 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, held in Catania, Italy, in July 2012. The 258 revised full papers presented together with six invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on fuzzy machine learning and on-line modeling; computing with words and decision making; soft computing in computer vision; rough sets and complex data analysis: theory and

The History and Philosophy of Polish Logic

The History and Philosophy of Polish Logic
  • Author : K. Mulligan,K. Kijania-PLacek,T. Placek,Katarzyna Kijania-Placek
  • Publisher : Springer
  • Release : 26 January 2016
GET THIS BOOKThe History and Philosophy of Polish Logic

The book presents the state of the art of research into the legacy of interwar Polish analytic philosophy and exemplifies different approaches to the history of philosophy. It contains discussions and reconstructions of aspects of Polish philosophy and logic as well as reactions to and developments of this tradition.

Modeling Decisions for Artificial Intelligence

Modeling Decisions for Artificial Intelligence
  • Author : Vicenç Torra,Yasuo Narukawa,Isabel Aguiló,Manuel González-Hidalgo
  • Publisher : Springer
  • Release : 08 October 2018
GET THIS BOOKModeling Decisions for Artificial Intelligence

This book constitutes the proceedings of the 15th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2018, held in Mallorca, Spain, in October 2018. The 24 papers presented in this volume were carefully reviewed and selected from 43 submissions. The book also contains one invited talk in full paper length. The papers were organized in topical sections named: aggregation operators, fuzzy measures and integrals; decision making; clustering and classification; and data privacy and security.