Graham Priest On Dialetheism And Paraconsistency
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Graham Priest On Dialetheism And Paraconsistency
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Author : Can Başkent
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Graham Priest On Dialetheism And Paraconsistency written by Can Başkent and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
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 .
Hegel S Logic And Metaphysics
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Author : Jacob McNulty
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-26
Hegel S Logic And Metaphysics written by Jacob McNulty 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 2023-01-26 with Philosophy categories.
Kant said that logic had not had to take a single step forward since Aristotle, but German Idealists in the following generation made concerted efforts to re-think the logical foundations of philosophy. In this book, Jacob McNulty offers a new interpretation of Hegel's Logic, the key work of his philosophical system. McNulty shows that Hegel is responding to a perennial problem in the history and philosophy of logic: the logocentric predicament. In Hegel, we find an answer to a question so basic that it cannot be posed without risking incoherence: what is the justification for logic? How can one justify logic without already relying upon it? The answer takes the form of re-thinking the role of metaphysics in philosophy, so that logic assumes a new position as derivative rather than primary. This important book will appeal to a wide range of readers in Hegel studies and beyond.
The Poetic Of Reason Introducing Rational Poetic Experimentalism
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Author : Stefán Snævarr
language : en
Publisher: BRILL
Release Date : 2022-09-26
The Poetic Of Reason Introducing Rational Poetic Experimentalism written by Stefán Snævarr and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-26 with Philosophy categories.
This book makes the attempt to wed reason and the poetic. The tool for this attempt is Rational Poetic Experimentalism (RPE), which is introduced and explored in this book. According to RPE, it makes sense to look for poetic elements in human reality (including reason), outside of the realm of imaginative literature. Provocatively, RPE contends that philosophy’s search for truth has not been a great success so far. So, why not experiment with philosophical concepts and look for thought-provoking ideas by employing the principles of RPE, instead of fruitlessly searching for truths using conventional methods?
New Essays On Belnap Dunn Logic
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Author : Hitoshi Omori
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
New Essays On Belnap Dunn Logic written by Hitoshi Omori and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE). It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general.
Paradox And Contradiction In Theology
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Author : Jonathan C. Rutledge
language : en
Publisher: Taylor & Francis
Release Date : 2023-09-29
Paradox And Contradiction In Theology written by Jonathan C. Rutledge and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Religion categories.
This book explores and expounds upon questions of paradox and contradiction in theology with an emphasis on recent contributions from analytic philosophical theology. It addresses questions such as: What is the place of paradox in theology? Where might different systems of logic (e.g., paraconsistent ones) find a place in theological discourse (e.g., Christology)? What are proper responses to the presence of contradiction(s) in one’s theological theories? Are appeals to analogical language enough to make sense of paradox? Bringing together an impressive line-up of theologians and philosophers, the volume offers a range of fresh perspectives on a central topic. It is valuable reading for scholars of theology and philosophy of religion.
Modes Of Truth
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Author : Carlo Nicolai
language : en
Publisher: Routledge
Release Date : 2021-03-30
Modes Of Truth written by Carlo Nicolai and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-30 with Philosophy categories.
The aim of this volume is to open up new perspectives and to raise new research questions about a unified approach to truth, modalities, and propositional attitudes. The volume’s essays are grouped thematically around different research questions. The first theme concerns the tension between the theoretical role of the truth predicate in semantics and its expressive function in language. The second theme of the volume concerns the interaction of truth with modal and doxastic notions. The third theme covers higher-order solutions to the semantic and modal paradoxes, providing an alternative to first-order solutions embraced in the first two themes. This book will be of interest to researchers working in epistemology, logic, philosophy of logic, philosophy of language, philosophy of mathematics, and semantics. The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license.
Logics Of Variable Inclusion
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Author : Stefano Bonzio
language : en
Publisher: Springer Nature
Release Date : 2022-06-09
Logics Of Variable Inclusion written by Stefano Bonzio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Philosophy categories.
This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact. By extending the technique of Plonka sums from algebras to logical matrices, the authors investigate the different classes of models for logics of variable inclusion and they shed new light into their formal properties. The book opens with the historical origins of logics of variable inclusion and on their philosophical motivations. It includes the basics of the algebraic theory of regular varieties and the construction of Plonka sums over semilattice direct systems of algebra. The core of the book is devoted to an abstract definition of logics of left and right variable inclusion, respectively, and the authors study their semantics using the construction of Plonka sums of matrix models. The authors also cover Paraconsistent Weak Kleene logic and survey its abstract algebraic logical properties. This book is of interest to scholars of formal logic.
The Logic Of Entailment And Its History
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Author : Edwin Mares
language : en
Publisher: Cambridge University Press
Release Date : 2024-02-15
The Logic Of Entailment And Its History written by Edwin Mares 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 2024-02-15 with Mathematics categories.
This book provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. Its fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.
Logic And Information
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Author : Edwin Mares
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-30
Logic And Information written by Edwin Mares 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 2024-06-30 with Philosophy categories.
This Element looks at two projects that relate logic and information: the project of using logic to integrate, manipulate and interpret information and the proect of using the notion of information to provide interpretations of logical systems. The Element defines 'information' in a manner that includes misinformation and disinformation and uses this general concept of information to provide an interpretation of various paraconsistent and relevant logics. It also integrates these logics into contemporary theories of informational updating, probability theory and (rather informally) some ideas from the theory of the complexity of proofs. The Element assumes some prior knowledge of modal logic and its possible world semantics, but all the other necessary background is provided.
Metainferential Logics
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Author : Federico Pailos
language : en
Publisher: Springer Nature
Release Date : 2023-11-17
Metainferential Logics written by Federico Pailos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Philosophy categories.
This book is the first to present a comprehensive investigation of the technical features of the metainferential logics developed in the last years, with their most relevant results and applications. It provides some new paths to define and investigate metainferential logics and offers a thorough study of the semantics and the proof-theories of this new and exciting variety of families of logics. This volume examines the hierarchies of metainferential logics and gives a general and systematic theory of them, and of the truth theories based on these logics. This book puts forward the prospects for truth-theories based on the metainferential logics of the TS/ST hierarchy and argues for its promise noting that each of these logics can be safely expanded with a transparent truth predicate. It also goes onto to explore new developments in three fields related to logics – namely metainferential logics built by means of the Weak Kleene schema and combining them with logics defined through the Strong Kleene schema, proof-theoretic presentations, and those with a with a global or an absolutely global validity standard, instead of a local one. This book is of interest to scholars in formal logic.