Paraconsistent Logic: Consistency, Contradiction and Negation

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Publisher : Springer
ISBN 13 : 3319332058
Total Pages : 417 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 417 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.

Constructive Negations and Paraconsistency

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Publisher : Springer Science & Business Media
ISBN 13 : 1402068670
Total Pages : 241 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Constructive Negations and Paraconsistency by : Sergei Odintsov

Download or read book Constructive Negations and Paraconsistency written by Sergei Odintsov and published by Springer Science & Business Media. This book was released on 2008-03-19 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic, Epistemology, and the Unity of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 1402028083
Total Pages : 618 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Logic, Epistemology, and the Unity of Science by : Shahid Rahman

Download or read book Logic, Epistemology, and the Unity of Science written by Shahid Rahman and published by Springer Science & Business Media. This book was released on 2009-03-15 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume in this new series explores, through extensive co-operation, new ways of achieving the integration of science in all its diversity. The book offers essays from important and influential philosophers in contemporary philosophy, discussing a range of topics from philosophy of science to epistemology, philosophy of logic and game theoretical approaches. It will be of interest to philosophers, computer scientists and all others interested in the scientific rationality.

Contradictions, from Consistency to Inconsistency

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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.

Doubt Truth to be a Liar

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Publisher : Oxford University Press
ISBN 13 : 0199263280
Total Pages : 239 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Doubt Truth to be a Liar by : Graham Priest

Download or read book Doubt Truth to be a Liar written by Graham Priest and published by Oxford University Press. This book was released on 2006 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is required reading for anyone who wishes to understand dialetheism; (especially) for anyone who wishes to continue to endorse the old Aristotelian orthodoxy; and, more generally, for anyone who wishes to understand the role that contradiction plays in our thinking."--BOOK JACKET.

In Contradiction

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Publisher : Oxford University Press, USA
ISBN 13 : 0199263299
Total Pages : 351 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis In Contradiction by : Graham Priest

Download or read book In Contradiction written by Graham Priest and published by Oxford University Press, USA. This book was released on 2006-02-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Priest advocates and defends the view that there are true contradictions (dialetheism), a perspective that flies in the face of orthodoxy in Western philosophy since Aristole and remains at the centre of philosophical debate. This edition contains the author's reflections on developments since 1987.

The Law of Non-Contradiction

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Publisher : Clarendon Press
ISBN 13 : 0191548065
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Law of Non-Contradiction by : Graham Priest

Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

How to Sell a Contradiction

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Publisher :
ISBN 13 : 9781904987437
Total Pages : 0 pages
Book Rating : 4.9/5 (874 download)

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Book Synopsis How to Sell a Contradiction by : Francesco Berto

Download or read book How to Sell a Contradiction written by Francesco Berto and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is a principle in things, about which we cannot be deceived, but must always, on the contrary, recognize the truth - viz. that the same thing cannot at one and the same time be and not be" with these words of the Metaphysics, Aristotle introduced the Law of Non-Contradiction, which was to become the most authoritative principle in the history of Western thought. However, things have recently changed, and nowadays various philosophers, called dialetheists, claim that this Law does not hold unrestrictedly - that in peculiar circumstances the same thing may at the same time be and not be, and contradictions may obtain in the world. This book opens with an examination of the famous logical paradoxes that appear to speak on behalf of contradictions (e.g., the Liar paradox, the set-theoretic paradoxes such as Cantor's and Russell's), and of the reasons for the failure of the standard attempts to solve them. It provides, then, an introduction to paraconsistent logics - non-classical logics in which the admission of contradictions does not lead to logical chaos -, and their astonishing applications, going from inconsistent data base management to contradictory arithmetics capable of circumventing Gödel's celebrated Incompleteness Theorem. The final part of the book discusses the philosophical motivations and difficulties of dialetheism, and shows how to extract from Aristotle's ancient words a possible reply to the dialetheic challenge. How to Sell a Contradiction will appeal to anyone interested in non-classical logics, analytic metaphysics, and philosophy of mathematics, and especially to those who consider challenging our most entrenched beliefs the main duty of philosophical inquiry. Francesco Berto is Lecturer in Logic and Metaphysics at the University of Venice, Italy. He has published articles in American Philosophical Quarterly, The Australasian Journal of Philosophy, Dialectica, Logique et Analyse, The European Journal of Philosophy, and the books La dialettica della struttura originaria [The Dialectics of the Basic Structure, Padua 2003], Che cos'è la dialettica hegeliana [What is Hegel's Dialectics?, Padua 2005], Teorie dell'assurdo [Theories of the Absurd, Rome 2006] and Logica da zero a Gödel [Logic, from Zero to Gödel, Rome 2007].

Algebraizable Logics

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Publisher : Advanced Reasoning Forum
ISBN 13 : 1938421183
Total Pages : 90 pages
Book Rating : 4.9/5 (384 download)

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Book Synopsis Algebraizable Logics by : W. J. Blok

Download or read book Algebraizable Logics written by W. J. Blok and published by Advanced Reasoning Forum. This book was released on 2022-07-23 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: W. J. Blok and Don Pigozzi set out to try to answer the question of what it means for a logic to have algebraic semantics. In this seminal book they transformed the study of algebraic logic by giving a general framework for the study of logics by algebraic means. The Dutch mathematician W. J. Blok (1947-2003) received his doctorate from the University of Amsterdam in 1979 and was Professor of Mathematics at the University of Illinois, Chicago until his death in an automobile accident. Don Pigozzi (1935- ) grew up in Oakland, California, received his doctorate from the University of California, Berkeley in 1970, and was Professor of Mathematics at Iowa State University until his retirement in 2002. The Advanced Reasoning Forum is pleased to make available in its Classic Reprints series this exact reproduction of the 1989 text, with a new errata sheet prepared by Don Pigozzi.

Paradox and Paraconsistency

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Publisher : Cambridge University Press
ISBN 13 : 9780521009348
Total Pages : 384 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Paradox and Paraconsistency by : John Woods

Download or read book Paradox and Paraconsistency written by John Woods and published by Cambridge University Press. This book was released on 2003 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world plagued by conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible systems. This original book explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.

Graham Priest on Dialetheism and Paraconsistency

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Publisher : Springer Nature
ISBN 13 : 3030253651
Total Pages : 698 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 698 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 .

Trends in Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9401735980
Total Pages : 387 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Trends in Logic by : Vincent F. Hendricks

Download or read book Trends in Logic written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.

Paraconsistency: Logic and Applications

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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

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Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Paraconsistent Logic by : Ayda Ignez Arruda

Download or read book Paraconsistent Logic written by Ayda Ignez Arruda and published by . This book was released on 1989 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Philosophical Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402005831
Total Pages : 428 pages
Book Rating : 4.0/5 (58 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 2002-05-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

Logic For Dummies

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Publisher : John Wiley & Sons
ISBN 13 : 0471799416
Total Pages : 384 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Logic For Dummies by : Mark Zegarelli

Download or read book Logic For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2006-11-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.

Logica Universalis

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Publisher : Springer Science & Business Media
ISBN 13 : 3764383542
Total Pages : 247 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Logica Universalis by : Jean-Yves Beziau

Download or read book Logica Universalis written by Jean-Yves Beziau and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.