Paraconsistent Logic Consistency Contradiction And Negation PDF Download
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Author | : Walter Carnielli |
Publisher | : Springer |
Total Pages | : 417 |
Release | : 2016-06-14 |
Genre | : Philosophy |
ISBN | : 3319332058 |
Download Paraconsistent Logic: Consistency, Contradiction and Negation Book in PDF, ePub and Kindle
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.
Author | : Shahid Rahman |
Publisher | : Springer Science & Business Media |
Total Pages | : 618 |
Release | : 2009-03-15 |
Genre | : Philosophy |
ISBN | : 1402028083 |
Download Logic, Epistemology, and the Unity of Science Book in PDF, ePub and Kindle
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.
Author | : Sergei Odintsov |
Publisher | : Springer Science & Business Media |
Total Pages | : 241 |
Release | : 2008-03-19 |
Genre | : Philosophy |
ISBN | : 1402068670 |
Download Constructive Negations and Paraconsistency Book in PDF, ePub and Kindle
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.
Author | : Walter Carnielli |
Publisher | : Springer |
Total Pages | : 324 |
Release | : 2018-10-13 |
Genre | : Philosophy |
ISBN | : 3319987976 |
Download Contradictions, from Consistency to Inconsistency Book in PDF, ePub and Kindle
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.
Author | : Walter Alexandr Carnielli |
Publisher | : CRC Press |
Total Pages | : 576 |
Release | : 2002-04-10 |
Genre | : Mathematics |
ISBN | : 0203910133 |
Download Paraconsistency Book in PDF, ePub and Kindle
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.
Author | : Graham Priest |
Publisher | : Oxford University Press |
Total Pages | : 239 |
Release | : 2006 |
Genre | : Philosophy |
ISBN | : 0199263280 |
Download Doubt Truth to be a Liar Book in PDF, ePub and Kindle
"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.
Author | : Graham Priest |
Publisher | : Clarendon Press |
Total Pages | : 456 |
Release | : 2006-11-30 |
Genre | : Philosophy |
ISBN | : 0191548065 |
Download The Law of Non-Contradiction Book in PDF, ePub and Kindle
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.
Author | : Holger Andreas |
Publisher | : Springer |
Total Pages | : 221 |
Release | : 2016-12-02 |
Genre | : Philosophy |
ISBN | : 331940220X |
Download Logical Studies of Paraconsistent Reasoning in Science and Mathematics Book in PDF, ePub and Kindle
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.
Author | : Jean-Yves Béziau |
Publisher | : |
Total Pages | : 532 |
Release | : 2007 |
Genre | : Computers |
ISBN | : |
Download Handbook of Paraconsistency Book in PDF, ePub and Kindle
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.
Author | : Graham Priest |
Publisher | : Clarendon Press |
Total Pages | : 240 |
Release | : 2005-12-15 |
Genre | : Philosophy |
ISBN | : 0191532479 |
Download Doubt Truth to be a Liar Book in PDF, ePub and Kindle
Dialetheism is the view that some contradictions are true. This is a view which runs against orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core notions of philosophy. Doubt Truth to Be a Liar explores these implications for truth, rationality, negation, and the nature of logic, and develops further the defence of dialetheism first mounted in Priest's In Contradiction, a second edition of which is also available.