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Paraconsistent Logic


Paraconsistent Logic
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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.



Paraconsistent Logic


Paraconsistent Logic
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Author : Fouad Sabry
language : en
Publisher: One Billion Knowledgeable
Release Date : 2023-06-30

Paraconsistent Logic written by Fouad Sabry and has been published by One Billion Knowledgeable this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-30 with Computers categories.


What Is Paraconsistent Logic An attempt to create a logical framework that can deal with contradictions in a discriminating manner is an example of a paraconsistent logic. Alternately, paraconsistent logic is a subfield of logic that rejects the principle of explosion and is concerned with the study and development of "inconsistency-tolerant" systems of logic. This subfield focuses on the study and development of such systems. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Paraconsistent Logic Chapter 2: Disjunctive Syllogism Chapter 3: Logical Connective Chapter 4: Propositional Calculus Chapter 5: Proof by Contradiction Chapter 6: Contradiction Chapter 7: Negation Chapter 8: Dialetheism Chapter 9: Principle of Explosion Chapter 10: Philosophical Logic (II) Answering the public top questions about paraconsistent logic. (III) Real world examples for the usage of paraconsistent logic in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of paraconsistent logic' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of paraconsistent logic.



Logic Epistemology And The Unity Of Science


Logic Epistemology And The Unity Of Science
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Author : Shahid Rahman
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-10-25

Logic Epistemology And The Unity Of Science written by Shahid Rahman 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 2004-10-25 with Philosophy categories.


This is the first volume in a series aimed at considering the scientific enterprise in light of recent developments in logic and philosophy. This work explores new ways of achieving the integration of science in all its diversity.



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.



Constructive Negations And Paraconsistency


Constructive Negations And Paraconsistency
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Author : Sergei Odintsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-19

Constructive Negations And Paraconsistency written by Sergei Odintsov 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 2008-03-19 with Philosophy categories.


Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.



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.



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.



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.



Handbook Of Paraconsistency


Handbook Of Paraconsistency
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Author : Jean-Yves Béziau
language : en
Publisher:
Release Date : 2007

Handbook Of Paraconsistency written by Jean-Yves Béziau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.


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.