Dialetheism and its Applications

Dialetheism and its Applications PDF Author: Adam Rieger
Publisher: Springer Nature
ISBN: 3030302210
Category : Philosophy
Languages : en
Pages : 186

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Book Description
The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory.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.

Dialetheism and its Applications

Dialetheism and its Applications PDF Author: Adam Rieger
Publisher: Springer Nature
ISBN: 3030302210
Category : Philosophy
Languages : en
Pages : 186

Get Book Here

Book Description
The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory.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.

In Contradiction

In Contradiction PDF Author: Graham Priest
Publisher: Oxford University Press, USA
ISBN: 0199263299
Category : Language Arts & Disciplines
Languages : en
Pages : 351

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Book Description
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.

Doubt Truth to be a Liar

Doubt Truth to be a Liar PDF Author: Graham Priest
Publisher: Oxford University Press
ISBN: 0199263280
Category : Philosophy
Languages : en
Pages : 239

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Book Description
"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.

Impossible Worlds

Impossible Worlds PDF Author: Francesco Berto
Publisher: Oxford University Press
ISBN: 0198812795
Category : Philosophy
Languages : en
Pages : 333

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Book Description
The latter half of the 20 ...

Paraconsistency: Logic and Applications

Paraconsistency: Logic and Applications PDF Author: Koji Tanaka
Publisher: Springer Science & Business Media
ISBN: 9400744382
Category : Philosophy
Languages : en
Pages : 380

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Book Description
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.

Spandrels of Truth

Spandrels of Truth PDF Author: Jc Beall
Publisher: OUP Oxford
ISBN: 0191613738
Category : Philosophy
Languages : en
Pages : 169

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Book Description
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.

Saving Truth From Paradox

Saving Truth From Paradox PDF Author: Hartry Field
Publisher: OUP Oxford
ISBN: 0191528161
Category : Philosophy
Languages : en
Pages : 432

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Book Description
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.

Logical Pluralism

Logical Pluralism PDF Author: JC Beall
Publisher: Oxford University Press
ISBN: 0199288402
Category : Philosophy
Languages : en
Pages : 152

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Book Description
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.

Paradoxes and Inconsistent Mathematics

Paradoxes and Inconsistent Mathematics PDF Author: Zach Weber
Publisher: Cambridge University Press
ISBN: 1108999026
Category : Mathematics
Languages : en
Pages : 339

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Book Description
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.

The Fifth Corner of Four

The Fifth Corner of Four PDF Author: Graham Priest
Publisher:
ISBN: 0198758715
Category : Philosophy
Languages : en
Pages : 195

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Book Description
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.