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Paraconsistency Logic And Applications


Paraconsistency Logic And Applications
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Paraconsistency Logic And Applications


Paraconsistency Logic And Applications
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Author : Koji Tanaka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-26

Paraconsistency Logic And Applications written by Koji Tanaka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Philosophy categories.


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


Paraconsistent Logic Consistency Contradiction And Negation
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Author : Walter Carnielli
language : en
Publisher: Springer
Release Date : 2016-06-14

Paraconsistent Logic Consistency Contradiction And Negation written by Walter Carnielli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-14 with Philosophy categories.


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.



New Directions In Paraconsistent Logic


New Directions In Paraconsistent Logic
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Author : Jean-Yves Beziau
language : en
Publisher: Springer
Release Date : 2016-02-08

New Directions In Paraconsistent Logic written by Jean-Yves Beziau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-08 with Mathematics categories.


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.



Logical Studies Of Paraconsistent Reasoning In Science And Mathematics


Logical Studies Of Paraconsistent Reasoning In Science And Mathematics
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Author : Holger Andreas
language : en
Publisher: Springer
Release Date : 2016-12-02

Logical Studies Of Paraconsistent Reasoning In Science And Mathematics written by Holger Andreas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-02 with Philosophy categories.


This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency.



Towards Paraconsistent Engineering


Towards Paraconsistent Engineering
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Author : Seiki Akama
language : en
Publisher: Springer
Release Date : 2016-07-25

Towards Paraconsistent Engineering written by Seiki Akama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Technology & Engineering categories.


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.



Graham Priest On Dialetheism And Paraconsistency


Graham Priest On Dialetheism And Paraconsistency
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Author : Can Başkent
language : en
Publisher: Springer Nature
Release Date : 2020-01-01

Graham Priest On Dialetheism And Paraconsistency written by Can Başkent and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.


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 .



Paraconsistent Intelligent Based Systems


Paraconsistent Intelligent Based Systems
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Author : Jair Minoro Abe
language : en
Publisher: Springer
Release Date : 2015-06-22

Paraconsistent Intelligent Based Systems written by Jair Minoro Abe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-22 with Technology & Engineering categories.


This book presents some of the latest applications of new theories based on the concept of paraconsistency and correlated topics in informatics, such as pattern recognition (bioinformatics), robotics, decision-making themes, and sample size. Each chapter is self-contained, and an introductory chapter covering the logic theoretical basis is also included. The aim of the text is twofold: to serve as an introductory text on the theories and applications of new logic, and as a textbook for undergraduate or graduate-level courses in AI. Today AI frequently has to cope with problems of vagueness, incomplete and conflicting (inconsistent) information. One of the most notable formal theories for addressing them is paraconsistent (paracomplete and non-alethic) logic.



Paraconsistency


Paraconsistency
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Author : Walter Alexandr Carnielli
language : en
Publisher: CRC Press
Release Date : 2002-04-10

Paraconsistency written by Walter Alexandr Carnielli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-10 with Mathematics categories.


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.



Philosophy Of Logic


Philosophy Of Logic
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-11-29

Philosophy Of Logic written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-29 with Mathematics categories.


The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter



Mathematical Logic And Formal Systems


Mathematical Logic And Formal Systems
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Author : Alcantara
language : en
Publisher: CRC Press
Release Date : 1985-04-25

Mathematical Logic And Formal Systems written by Alcantara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04-25 with Mathematics categories.


This unique collection of research papers provides an important contribution to the area of Mathematical Logic and Formal Systems. Exploring interesting practical applications as well as problems for further investigation, this single-source reference discusses the interpretations of the concept of probability and their relationship to statistical methods ... illustrates the problem of set theoretical foundations and category theory ... treats the various aspects of the theory of large cardinals including combinatorial properties of some sets naturally related to them ... resolves an open problem in the theory of relations ... and characterizes interpretations of elementary theories as functors between categories whose objects are structures. Written by world-renowned authorities in their fields, Mathematical Logic and Formal Systems is important reading for logicians, pure and applied mathematicians, and graduate students in logic courses. Book jacket.