Handbook Of Paraconsistency

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Handbook of Paraconsistency

Author : Jean-Yves Béziau
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Handbook of Paraconsistency by : Jean-Yves Béziau

Download or read book Handbook of Paraconsistency written by Jean-Yves Béziau and published by . This book was released on 2007 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paraconsistent logics are logics which allow solid deductive reasoning under contradictions by offering a mathematical and philosophical support to contradictory yet non-trivial theories. Due to its role in models of scientific reasoning and to its philosophical implications, as well as to its connections to topics such as abduction, automated reasoning, logic programming, and belief revision, paraconsistency has becoming a fast growing area. During the III World Congress on Paraconsistency (WCP3) held in Toulouse, France, in July, 2003, it became apparent that there is a need for a Handbook covering the most recent results on several aspects of paraconsistent logic, including philosophical debates on paraconsistency and its connections to philosophy of language, argumentation theory, computer science, information theory, and artificial intelligence. This book is a basic tool for those who want to know more about paraconsistent logic, its history and philosophy, the various systems of paraconsistent logic and their applications. The present volume is edited by Jean-Yves Beziau, Walter Carnielli and Dov Gabbay, expert logicians versed in a variety of logics.

Graham Priest on Dialetheism and Paraconsistency

Author : Can Başkent
Publisher : Springer Nature
ISBN 13 : 3030253651
Total Pages : 704 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Graham Priest on Dialetheism and Paraconsistency by : Can Başkent

Download or read book Graham Priest on Dialetheism and Paraconsistency written by Can Başkent and published by Springer Nature. This book was released on 2020-01-01 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes .

Handbook of Philosophical Logic

Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 1402063237
Total Pages : 356 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2007-09-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourteenth volume of the Second Edition covers central topics in philosophical logic that have been studied for thousands of years, since Aristotle: Inconsistency, Causality, Conditionals, and Quantifiers. These topics are central in many applications of logic in central disciplines and this book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field.

Paraconsistency: Logic and Applications

Author : Koji Tanaka
Publisher : Springer Science & Business Media
ISBN 13 : 9400744382
Total Pages : 380 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Paraconsistency: Logic and Applications by : Koji Tanaka

Download or read book Paraconsistency: Logic and Applications written by Koji Tanaka and published by Springer Science & Business Media. This book was released on 2012-07-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more "big picture" ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics.

Paraconsistent Logic: Consistency, Contradiction and Negation

Author : Walter Carnielli
Publisher : Springer
ISBN 13 : 3319332058
Total Pages : 398 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Paraconsistent Logic: Consistency, Contradiction and Negation by : Walter Carnielli

Download or read book Paraconsistent Logic: Consistency, Contradiction and Negation written by Walter Carnielli and published by Springer. This book was released on 2016-06-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.

Towards Paraconsistent Engineering

Author : Seiki Akama
Publisher : Springer
ISBN 13 : 3319404180
Total Pages : 234 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Towards Paraconsistent Engineering by : Seiki Akama

Download or read book Towards Paraconsistent Engineering written by Seiki Akama and published by Springer. This book was released on 2016-07-25 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of contributions from related logics to applied paraconsistency. Moreover, all of them are dedicated to Jair Minoro Abe,on the occasion of his sixtieth birthday. He is one of the experts in Paraconsistent Engineering, who developed the so-called annotated logics. The book includes important contributions on foundations and applications of paraconsistent logics in connection with engineering, mathematical logic, philosophical logic, computer science, physics, economics, and biology. It will be of interest to students and researchers, who are working on engineering and logic.

New Directions in Paraconsistent Logic

Author : Jean-Yves Beziau
Publisher : Springer
ISBN 13 : 8132227190
Total Pages : 542 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis New Directions in Paraconsistent Logic by : Jean-Yves Beziau

Download or read book New Directions in Paraconsistent Logic written by Jean-Yves Beziau and published by Springer. This book was released on 2016-02-08 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book discusses all aspects of paraconsistent logic, including the latest findings, and its various systems. It includes papers by leading international researchers, which address the subject in many different ways: development of abstract paraconsistent systems and new theorems about them; studies of the connections between these systems and other non-classical logics, such as non-monotonic, many-valued, relevant, paracomplete and fuzzy logics; philosophical interpretations of these constructions; and applications to other sciences, in particular quantum physics and mathematics. Reasoning with contradictions is the challenge of paraconsistent logic. The book will be of interest to graduate students and researchers working in mathematical logic, computer science, philosophical logic, linguistics and physics.

Truth in Fiction

Author : John Woods
Publisher : Springer
ISBN 13 : 3319726587
Total Pages : 239 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Truth in Fiction by : John Woods

Download or read book Truth in Fiction written by John Woods and published by Springer. This book was released on 2018-02-23 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines truth in fiction by applying the techniques of a naturalized logic of human cognitive practices. The author structures his project around two focal questions. What would it take to write a book about truth in literary discourse with reasonable promise of getting it right? What would it take to write a book about truth in fiction as true to the facts of lived literary experience as objectivity allows? It is argued that the most semantically distinctive feature of the sentences of fiction is that they areunambiguously true and false together. It is true that Sherlock Holmes lived at 221B Baker Street and also concurrently false that he did. A second distinctive feature of fiction is that the reader at large knows of this inconsistency and isn’t in the least cognitively molested by it. Why, it is asked, would this be so? What would explain it? Two answers are developed. According to the no-contradiction thesis, the semantically tangled sentences of fiction are indeed logically inconsistent but not logically contradictory. According to the no-bother thesis, if the inconsistencies of fiction were contradictory, a properly contrived logic for the rational management of inconsistency would explain why readers at large are not thrown off cognitive stride by their embrace of those contradictions. As developed here, the account of fiction suggests the presence of an underlying three - or four-valued dialethic logic. The author shows this to be a mistaken impression. There are only two truth-values in his logic of fiction. The naturalized logic of Truth in Fiction jettisons some of the standard assumptions and analytical tools of contemporary philosophy, chiefly because the neurotypical linguistic and cognitive behaviour of humanity at large is at variance with them. Using the resources of a causal response epistemology in tandem with the naturalized logic, the theory produced here is data-driven, empirically sensitive, and open to a circumspect collaboration with the empirical sciences of language and cognition.

Introduction to Annotated Logics

Author : Jair Minoro Abe
Publisher : Springer
ISBN 13 : 3319179128
Total Pages : 195 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Introduction to Annotated Logics by : Jair Minoro Abe

Download or read book Introduction to Annotated Logics written by Jair Minoro Abe and published by Springer. This book was released on 2015-04-09 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to annotated logics. It provides logical foundations for annotated logics, discusses some interesting applications of these logics and also includes the authors' contributions to annotated logics. The central idea of the book is to show how annotated logic can be applied as a tool to solve problems of technology and of applied science. The book will be of interest to pure and applied logicians, philosophers and computer scientists as a monograph on a kind of paraconsistent logic. But, the layman will also take profit from its reading.

Around and Beyond the Square of Opposition

Author : Jean-Yves Béziau
Publisher : Springer Science & Business Media
ISBN 13 : 3034803796
Total Pages : 379 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Around and Beyond the Square of Opposition by : Jean-Yves Béziau

Download or read book Around and Beyond the Square of Opposition written by Jean-Yves Béziau and published by Springer Science & Business Media. This book was released on 2012-05-10 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.

New Waves in Philosophical Logic

Author : G. Restall
Publisher : Springer
ISBN 13 : 1137003723
Total Pages : 275 pages
Book Rating : 4.1/5 (37 download)

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Book Synopsis New Waves in Philosophical Logic by : G. Restall

Download or read book New Waves in Philosophical Logic written by G. Restall and published by Springer. This book was released on 2012-07-31 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical logic has been, and continues to be, a driving force behind much progress and development in philosophy more broadly. This collection by up-and-coming philosophical logicians deals with a broad range of topics, including, for example, proof-theory, probability, context-sensitivity, dialetheism and dynamic semantics.

Handbook of Abductive Cognition

Author : Lorenzo Magnani
Publisher : Springer Nature
ISBN 13 : 3031101359
Total Pages : 1921 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Handbook of Abductive Cognition by : Lorenzo Magnani

Download or read book Handbook of Abductive Cognition written by Lorenzo Magnani and published by Springer Nature. This book was released on 2023-03-31 with total page 1921 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook offers the first comprehensive reference guide to the interdisciplinary field of abductive cognition, providing readers with extensive information on the process of reasoning to hypotheses in humans, animals, and in computational machines. It highlights the role of abduction in both theory practice: in generating and testing hypotheses and explanatory functions for various purposes and as an educational device. It merges logical, cognitive, epistemological and philosophical perspectives with more practical needs relating to the application of abduction across various disciplines and practices, such as in diagnosis, creative reasoning, scientific discovery, diagrammatic and ignorance-based cognition, and adversarial strategies. It also discusses the inferential role of models in hypothetical reasoning, abduction and creativity, including the process of development, implementation and manipulation for different scientific and technological purposes. Written by a group of internationally renowned experts in philosophy, logic, general epistemology, mathematics, cognitive, and computer science, as well as life sciences, engineering, architecture, and economics, the Handbook of Abductive Cognition offers a unique reference guide for readers approaching the process of reasoning to hypotheses from different perspectives and for various theoretical and practical purposes. Numerous diagrams, schemes and other visual representations are included to promote a better understanding of the relevant concepts and to make concepts highly accessible to an audience of scholars and students with different scientific backgrounds.

Contradictions, from Consistency to Inconsistency

Author : Walter Carnielli
Publisher : Springer
ISBN 13 : 3319987976
Total Pages : 324 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Contradictions, from Consistency to Inconsistency by : Walter Carnielli

Download or read book Contradictions, from Consistency to Inconsistency written by Walter Carnielli and published by Springer. This book was released on 2018-10-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates what is beyond the Principle of Non-Contradiction. It features 14 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions. Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths. Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.

The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics

Author : James Mattingly
Publisher : SAGE Publications
ISBN 13 : 1506353282
Total Pages : 1801 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics by : James Mattingly

Download or read book The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics written by James Mattingly and published by SAGE Publications. This book was released on 2022-10-28 with total page 1801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Description: Theories are part and parcel of every human activity that involves knowing about the world and our place in it. In all areas of inquiry from the most commonplace to the most scholarly and esoteric, theorizing plays a fundamental role. The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics focuses on the ways that various STEM disciplines theorize about their subject matter. How is thinking about the subject organized? What methods are used in moving a novice in given field into the position of a competent student of that subject? Within the pages of this landmark work, readers will learn about the complex decisions that are made when framing a theory, what goes into constructing a powerful theory, why some theories change or fail, how STEM theories reflect socio-historical moments in time and how – at their best – they form the foundations for exploring and unlocking the mysteries of the world around us. Featuring more than 200 authoritative articles written by experts in their respective fields, the encyclopedia includes a Reader’s Guide that organizes entries by broad themes; lists of Further Readings and cross-references that conclude each article; and a Resource Guide listing classic books in the field, leading journals, associations, and key websites.

Paraconsistency

Author : Walter Alexandr Carnielli
Publisher : CRC Press
ISBN 13 : 9780203910139
Total Pages : 582 pages
Book Rating : 4.9/5 (11 download)

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Book Synopsis Paraconsistency by : Walter Alexandr Carnielli

Download or read book Paraconsistency written by Walter Alexandr Carnielli and published by CRC Press. This book was released on 2002-04-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.

Transactions on Computational Collective Intelligence VI

Author : Ngoc-Thanh Nguyen
Publisher : Springer
ISBN 13 : 3642293565
Total Pages : 232 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Transactions on Computational Collective Intelligence VI by : Ngoc-Thanh Nguyen

Download or read book Transactions on Computational Collective Intelligence VI written by Ngoc-Thanh Nguyen and published by Springer. This book was released on 2012-06-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LNCS journal Transactions on Computational Collective Intelligence (TCCI) focuses on all facets of computational collective intelligence (CCI) and their applications in a wide range of fields such as the Semantic Web, social networks and multi-agent systems. TCCI strives to cover new methodological, theoretical and practical aspects of CCI understood as the form of intelligence that emerges from the collaboration and competition of many individuals (artificial and/or natural). The application of multiple computational intelligence technologies such as fuzzy systems, evolutionary computation, neural systems, consensus theory, etc., aims to support human and other collective intelligence and to create new forms of CCI in natural and/or artificial systems. This, the sixth issue of Transactions on Computational Collective Intelligence contains 10 selected papers, focusing on the topics of classification, agent cooperation, paraconsistent reasoning and agent distributed mobile interaction.

Deductive Systems in Traditional and Modern Logic

Author : Alex Citkin
Publisher : MDPI
ISBN 13 : 303943358X
Total Pages : 298 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Deductive Systems in Traditional and Modern Logic by : Alex Citkin

Download or read book Deductive Systems in Traditional and Modern Logic written by Alex Citkin and published by MDPI. This book was released on 2020-11-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.