Dialetheism And Its Applications

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Dialetheism and its Applications

Author : Adam Rieger
Publisher : Springer Nature
ISBN 13 : 3030302210
Total Pages : 186 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Dialetheism and its Applications by : Adam Rieger

Download or read book Dialetheism and its Applications written by Adam Rieger and published by Springer Nature. This book was released on 2020-01-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory. It includes contributions from some of the most respected scholars in the field, as well as from young, up-and-coming philosophers working on dialetheism. Moving from the fringes of philosophy to become a main player in debates concerning truth and the logical paradoxes, dialetheism has thrived since the publication of Graham Priest’s In Contradiction, and several of the papers find their roots in a conference on dialetheism held in Glasgow to mark the 25th anniversary of Priest’s book. The content presented here demonstrates the considerable body of work produced in this field in recent years. With a broad focus, this book also addresses the applications of dialetheism outside the more familiar area of the logical paradoxes, and includes pieces discussing the application of dialetheism in metaphysics, philosophy of language, and philosophy of mind.

Graham Priest on Dialetheism and Paraconsistency

Author : Can Başkent
Publisher : Springer Nature
ISBN 13 : 3030253651
Total Pages : 704 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 704 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 .

Doubt Truth to be a Liar

Author : Graham Priest
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

Author : Graham Priest
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.

Impossible Worlds

Author : Francesco Berto
Publisher : Oxford University Press
ISBN 13 : 0198812795
Total Pages : 333 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Impossible Worlds by : Francesco Berto

Download or read book Impossible Worlds written by Francesco Berto and published by Oxford University Press. This book was released on 2019 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latter half of the 20 ...

Spandrels of Truth

Author : Jc Beall
Publisher : OUP Oxford
ISBN 13 : 0191613738
Total Pages : 169 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Spandrels of Truth by : Jc Beall

Download or read book Spandrels of Truth written by Jc Beall and published by OUP Oxford. This book was released on 2011-04-07 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the various conceptions of truth is one according to which 'is true' is a transparent, entirely see-through device introduced for only practical (expressive) reasons. This device, when introduced into the language, brings about truth-theoretic paradoxes (particularly, the notorious Liar and Curry paradoxes). The options for dealing with the paradoxes while preserving the full transparency of 'true' are limited. In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.

Paraconsistency: Logic and Applications

Author : Koji Tanaka
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.

In Contradiction

Author : Graham Priest
Publisher : Martinus Nijhoff Publishing
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (43 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 Martinus Nijhoff Publishing. This book was released on 1987 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Contradiction advocates and defends the view that there are true contradictions (dialetheism), a view that flies in the face of orthodoxy in Western philosophy since Aristotle. The book has been at the center of the controversies surrounding dialetheism ever since its first publication in1987. This second edition of the book substantially expands upon the original in various ways, and also contains the author's reflections on developments over the last two decades. Further aspects of dialetheism are discussed in the companion volume, Doubt Truth to be a Liar, also published byOxford University Press in 2006.

Saving Truth From Paradox

Author : Hartry Field
Publisher : OUP Oxford
ISBN 13 : 0191528161
Total Pages : 432 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Saving Truth From Paradox by : Hartry Field

Download or read book Saving Truth From Paradox written by Hartry Field and published by OUP Oxford. This book was released on 2008-03-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.

How to Sell a Contradiction

Author : Francesco Berto
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].

The Fifth Corner of Four

Author : Graham Priest
Publisher :
ISBN 13 : 0198758715
Total Pages : 195 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis The Fifth Corner of Four by : Graham Priest

Download or read book The Fifth Corner of Four written by Graham Priest and published by . This book was released on 2018 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graham Priest presents an exploration of the development of Buddhist metaphysics, which is viewed through the lens of the catuṣkoṭi. In its earliest and simplest form this is a logical/metaphysical principle which says that every claim is true, false, both, or neither; but Priest shows how the principle itself evolves as the metaphysics develops.

Paradoxes and Inconsistent Mathematics

Author : Zach Weber
Publisher : Cambridge University Press
ISBN 13 : 1108999026
Total Pages : 339 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Paradoxes and Inconsistent Mathematics by : Zach Weber

Download or read book Paradoxes and Inconsistent Mathematics written by Zach Weber and published by Cambridge University Press. This book was released on 2021-10-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses “dialetheic paraconsistency” – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.

Beyond the Limits of Thought

Author : Graham Priest
Publisher : Oxford University Press
ISBN 13 : 9780199254057
Total Pages : 344 pages
Book Rating : 4.2/5 (54 download)

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Book Synopsis Beyond the Limits of Thought by : Graham Priest

Download or read book Beyond the Limits of Thought written by Graham Priest and published by Oxford University Press. This book was released on 2002 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graham Priest presents an expanded edition of his exploration of the nature and limits of thought. Embracing contradiction and challenging traditional logic, he engages with issues across philosophical borders, from the historical to the modern, Eastern to Western, continental to analytic.

Contradiction Studies – Exploring the Field

Author : Gisela Febel
Publisher : Springer Nature
ISBN 13 : 3658377844
Total Pages : 373 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Contradiction Studies – Exploring the Field by : Gisela Febel

Download or read book Contradiction Studies – Exploring the Field written by Gisela Febel and published by Springer Nature. This book was released on 2023-04-05 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Contradiction” is a core concept in the humanities and the social sciences. Beside the classical ideas of logical or dialectical contradiction, instances of “lived” contradiction and strategies of coping with it are objects of this study. Contradiction Studies discuss the many ways in which explicit or implicit contradictions are negotiated in different political or cultural settings. This volume collects articles that tackle the concept of contradiction, practices of contradicting and lived contradictions from a number of relevant perspectives and assembles contributions from linguistics, literary studies, philosophy, political science, and media studies.

Logical Pluralism

Author : JC Beall
Publisher : Oxford University Press
ISBN 13 : 0199288402
Total Pages : 152 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Logical Pluralism by : JC Beall

Download or read book Logical Pluralism written by JC Beall and published by Oxford University Press. This book was released on 2006 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

The Logic of Being

Author : Paul M. Livingston
Publisher :
ISBN 13 : 9780810135192
Total Pages : 257 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis The Logic of Being by : Paul M. Livingston

Download or read book The Logic of Being written by Paul M. Livingston and published by . This book was released on 2017 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Logic of Being: Realism, Truth, and Time, the influential philosopher Paul M. Livingston explores and illuminates truth, time, and their relationship by employing methods from both Continental and analytic philosophy.

Chains of Being

Author : Ross P. Cameron
Publisher : Oxford University Press
ISBN 13 : 0192596195
Total Pages : 265 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Chains of Being by : Ross P. Cameron

Download or read book Chains of Being written by Ross P. Cameron and published by Oxford University Press. This book was released on 2022-03-10 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chains of Being, Ross P. Cameron argues for both Metaphysical Infinitism, the view that there can be infinitely descending chains of ontological dependence or grounding, with no bottom level of fundamental things or facts, and Metaphysical Holism, the view that there can be circles of ontological dependence or grounding. Cameron argues against the widespread orthodoxy of Metaphysical Foundationalism: that everything in reality is ultimately accounted for by a base class of fundamental phenomena. In doing so, he makes the case against another widespread orthodoxy: that relations like grounding and ontological dependence are explanatory relations. Cameron provides an alternative account of metaphysical explanation that does not tie explanation to determination relations like grounding and ontological dependence, and he shows how explanation works in infinitist and holistic metaphysics. Embracing the possibility of infinite regress and circularity can be theoretically fruitful, as is shown by applying it to a number of cases across a wide range of philosophical areas, including: non-well-founded set theory, mathematical structuralism, the metaphysics of persons, the metaphysics of gender and sexuality, the semantic paradoxes, and others. In the course of exploring these applications, Cameron defends distinctive views concerning when an infinite regress is vicious, the nature of truth, non-classical logic and dialetheism, social construction, and more.