Paraconsistent Logic Consistency Contradiction And Negation
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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.
Arnon Avron On Semantics And Proof Theory Of Non Classical Logics
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Author : Ofer Arieli
language : en
Publisher: Springer Nature
Release Date : 2021-07-30
Arnon Avron On Semantics And Proof Theory Of Non Classical Logics written by Ofer Arieli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Philosophy categories.
This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Many Valued Semantics And Modal Logics Essays In Honour Of Yuriy Vasilievich Ivlev
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Author : Marcelo Esteban Coniglio
language : en
Publisher: Springer Nature
Release Date : 2024-06-05
Many Valued Semantics And Modal Logics Essays In Honour Of Yuriy Vasilievich Ivlev written by Marcelo Esteban Coniglio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-05 with Philosophy categories.
This volume is a collection of essays related to the work of Professor Yuriy Vasilievich Ivlev, a distinguished Russian logician and philosopher renowned for his expertise in many-valued and modal logics. Notably, his groundbreaking work on quasi-matrices for logics, now recognized as non-deterministic matrices and non-deterministic semantics, emerged in the 1970s. From a philosophical standpoint, Ivlev’s research delves into the formal analysis of indeterminacy, offering a logical framework to understand how sequences of indeterminate events can yield determinate outcomes. The volume follows two complementary lines of research. Firstly, it serves as a platform for the exploration and discussion of Ivlev’s seminal contributions to the algebraic characterization of both normal and non-normal modal logics, aimed at making these insights accessible to an international audience. Secondly, it features contributions from esteemed logicians and philosophers worldwide, offering diverseperspectives on the logical analysis of indeterminacy. This comprehensive volume will appeal to scholars and researchers in logic, philosophy, and mathematics who are engaged in the study of many-valued and modal methodologies for modeling situations of indeterminacy.
Software Engineering And Formal Methods
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Author : Alexandre Madeira
language : en
Publisher: Springer Nature
Release Date : 2024-11-25
Software Engineering And Formal Methods written by Alexandre Madeira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-25 with Computers categories.
This book constitutes the refereed proceedings of the 22nd International Conference on Software Engineering and Formal Methods, SEFM 2024, held in Aveiro, Portugal, during November 6–8, 2024. The 23 full papers included in this book were carefully reviewed and selected from 68 submissions. The topics covered range from formal modelling, specification, and design in software development over safety-critical, fault-tolerant, and secure systems to real-time, hybrid, and cyber-physical systems and quantum computing.
Rough Sets
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Author : Andrea Campagner
language : en
Publisher: Springer Nature
Release Date : 2023-12-30
Rough Sets written by Andrea Campagner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-30 with Computers categories.
This book constitutes the refereed proceedings of the International Joint Conference on Rough Sets, IJCRS 2023, held in Krakow, Poland, during October 5–8, 2023. The 43 full papers included in this book were carefully reviewed and selected from 83 submissions. They were organized in topical sections as follows: Rough Set Models, Foundations, Three-way Decisions, Granular Models, Distances and Similarities, Hybrid Approaches, Applications, Cybersecurity and IoT.
Proofs And Research Programmes Lakatos At 100
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Author : Roman Frigg
language : en
Publisher: Springer Nature
Release Date : 2025-08-10
Proofs And Research Programmes Lakatos At 100 written by Roman Frigg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-10 with Science categories.
This open access book offers new insights into issues raised in philosophy of mathematics and in philosophy of science by Imre Lakatos. Lakatos was one of the most significant philosophers of the 20th Century, and his ideas remain important and relevant today. November 2022 saw the centenary of Lakatos’s birth, and the event was marked by an international conference held at the LSE – where Lakatos made his career after he had emigrated from Hungary to England. This volume consists of a selection of papers presented at the conference along with two additional contributions to debates about Lakatos’s continuing influence and importance.
Deductive Systems In Traditional And Modern Logic
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Author : Alex Citkin
language : en
Publisher: MDPI
Release Date : 2020-11-18
Deductive Systems In Traditional And Modern Logic written by Alex Citkin and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-18 with Mathematics categories.
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Information Processing And Management Of Uncertainty In Knowledge Based Systems
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Author : Marie-Jeanne Lesot
language : en
Publisher: Springer Nature
Release Date : 2025-04-30
Information Processing And Management Of Uncertainty In Knowledge Based Systems written by Marie-Jeanne Lesot and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Computers categories.
This book is a collection of papers focused on techniques for managing uncertainty and aggregation. It provides a forum for exchanging ideas between theoreticians and practitioners in these and related areas. The papers are part of the 20th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, which will occur in Lisbon, Portugal, from July 22 to 26, 2024. The collection describes the latest findings on topics such as advances in fuzzy systems and data analysis, optimization, scheduling via modeling uncertainty, explainability, decision-making, implications, data aggregation, and aggregation operators. A special chapter is dedicated to the memory of Michio Sugeno. The book is a valuable resource for practitioners, researchers, and graduate students who want to apply fuzzy-based techniques to real-world data analysis and management processes involving imprecision and uncertainty.
Inconsistency In Linguistic Theorising
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Author : András Kertész
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-07
Inconsistency In Linguistic Theorising written by András Kertész and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-07 with Language Arts & Disciplines categories.
It is widely believed that inconsistency is one of the greatest sins a scholar can commit. This issue is especially relevant in linguistics due to the rich diversity of data types, exceptions to the rules, counterexamples to the hypotheses, and background assumptions which constantly come into conflict with methodological principles. Bringing together ideas from linguistics and philosophy of science, this groundbreaking book seeks to answer the following questions: which kinds of inconsistency arise in linguistic theorising? Under which conditions can inconsistencies be tolerated? And how can inconsistencies be resolved? It is the first study to develop a novel metatheoretical framework that accounts for the emergence and the resolution of inconsistency in linguistic theorising, and to reveal the strategies of inconsistency resolution in theoretical linguistics. Supported by detailed case studies, the findings of this metatheoretical analysis can be applied to improve the effectiveness of the working linguist's problem-solving activity.
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.