Paraconsistent Logic
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Paraconsistent Logic
Author: Fouad Sabry
language: en
Publisher: One Billion Knowledgeable
Release Date: 2023-06-30
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.
Paraconsistent Logic: Consistency, Contradiction and Negation
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
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.