The Paradox Of The Liar And The Problem Of Context

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Revenge of the Liar

Author : JC Beall
Publisher : OUP Oxford
ISBN 13 : 0191528501
Total Pages : 384 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Revenge of the Liar by : JC Beall

Download or read book Revenge of the Liar written by JC Beall and published by OUP Oxford. This book was released on 2007-12-13 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says (only) that it is false. How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics.

The Liar

Author : Jon Barwise
Publisher : Oxford University Press
ISBN 13 : 0195059441
Total Pages : 207 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis The Liar by : Jon Barwise

Download or read book The Liar written by Jon Barwise and published by Oxford University Press. This book was released on 1987 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Barwise and Etchemendy model and compare Russellian and Austinian conceptions of propositions, and develop a range of model-theoretic techniques--based on Aczel's work--that open up new avenues in logical and formal semantics.

The Revision Theory of Truth

Author : Anil Gupta
Publisher : MIT Press
ISBN 13 : 9780262071444
Total Pages : 334 pages
Book Rating : 4.0/5 (714 download)

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Book Synopsis The Revision Theory of Truth by : Anil Gupta

Download or read book The Revision Theory of Truth written by Anil Gupta and published by MIT Press. This book was released on 1993 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological contexts. The latter include, for instance, contexts that generate Liar Paradox. Their central claim is that truth is a circular concept. In support of this claim they provide a widely applicable theory (the "revision theory") of circular concepts. Under the revision theory, when truth is seen as circular both its ordinary features and its pathological features fall into a simple understandable pattern. The Revision Theory of Truth is unique in placing truth in the context of a general theory of definitions. This theory makes sense of arbitrary systems of mutually interdependent concepts, of which circular concepts, such as truth, are but a special case.

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.

Contextual Approaches to Truth and the Strengthened Liar Paradox

Author : Christine Schurz
Publisher : Walter de Gruyter
ISBN 13 : 311032458X
Total Pages : 145 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Contextual Approaches to Truth and the Strengthened Liar Paradox by : Christine Schurz

Download or read book Contextual Approaches to Truth and the Strengthened Liar Paradox written by Christine Schurz and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of truth and the liar paradox is one of the most extensive problems of philosophy. The liar paradox can be avoided by assuming a so-called theory of partial truth instead of a classical theory of truth. Theories of partial truth, however, cannot solve the so-called strengthened liar paradox, which is the problem that many semantic statements about the so-called strengthened liar cannot be true in a theory of partial truth. If such semantic statements were true in the theory, another paradox would emerge. To proponents of contextual accounts, which assume that the concept of truth is context-dependent, the strengthened liar paradox is the core of the liar problem. This book provides an overview of current contextual approaches to the strengthened liar paradox. For this purpose, the author investigates formal theories of truth that result from formal reconstructions of such contextual approaches.

Semantic Singularities

Author : Keith Simmons
Publisher : Oxford University Press
ISBN 13 : 0198791542
Total Pages : 260 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Semantic Singularities by : Keith Simmons

Download or read book Semantic Singularities written by Keith Simmons and published by Oxford University Press. This book was released on 2018 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Godel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski's intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. Simmons draws out the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.

Formal Theories of Truth

Author : J. C. Beall
Publisher : Oxford University Press
ISBN 13 : 0198815670
Total Pages : 151 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Formal Theories of Truth by : J. C. Beall

Download or read book Formal Theories of Truth written by J. C. Beall and published by Oxford University Press. This book was released on 2018 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Truth is one of the oldest and most central topics in philosophy. Formal theories explore the connections between truth and logic, and they address truth-theoretic paradoxes such as the Liar. Three leading philosopher-logicians now present a concise overview of the main issues and ideas in formal theories of truth. Beall, Glanzberg, and Ripley explain key logical techniques on which such formal theories rely, providing the formal and logical background needed to develop formal theories of truth. They examine the most important truth-theoretic paradoxes, including the Liar paradoxes. They explore approaches that keep principles of truth simple while relying on nonclassical logic; approaches that preserve classical logic but do so by complicating the principles of truth; and approaches based on substructural logics that change the shape of the target consequence relation itself. Finally, inconsistency and revision theories are reviewed, and contrasted with the approaches previously discussed. For any reader who has a basic grounding in logic, this book offers an ideal guide to formal theories of truth.

Understanding Truth

Author : Scott Soames
Publisher :
ISBN 13 : 9780195123357
Total Pages : 288 pages
Book Rating : 4.1/5 (233 download)

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Book Synopsis Understanding Truth by : Scott Soames

Download or read book Understanding Truth written by Scott Soames and published by . This book was released on 1999 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of this text explores the notion of truth and its role in our ordinary thought, as well as in logical philosophical and scientific theories.

Paradox and Paraconsistency

Author : John Woods
Publisher : Cambridge University Press
ISBN 13 : 9780521009348
Total Pages : 384 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Paradox and Paraconsistency by : John Woods

Download or read book Paradox and Paraconsistency written by John Woods and published by Cambridge University Press. This book was released on 2003 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world plagued by conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible systems. This original book explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.

Paradoxes of Belief and Strategic Rationality

Author : Robert C. Koons
Publisher : Cambridge University Press
ISBN 13 : 0521412692
Total Pages : 192 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Paradoxes of Belief and Strategic Rationality by : Robert C. Koons

Download or read book Paradoxes of Belief and Strategic Rationality written by Robert C. Koons and published by Cambridge University Press. This book was released on 1992-01-31 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author argues that a logical paradox lies at the root of a number of persistent puzzles in game theory, in particular those concerning rational agents who seek to establish some kind of reputation. This analysis provides an understanding of how the rational agent model can account for the emergence of rules, practices and institutions.

Towards Non-Being

Author : Graham Priest
Publisher : Oxford University Press
ISBN 13 : 0199262543
Total Pages : 207 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Towards Non-Being by : Graham Priest

Download or read book Towards Non-Being written by Graham Priest and published by Oxford University Press. This book was released on 2005-05-19 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Towards Non-Being presents an account of the semantics of intentional language - verbs such as 'believes', 'fears', 'seeks', 'imagines'. Graham Priest's account tackles problems concerning intentional states which are often brushed under the carpet in discussions of intentionality, such as their failure to be closed under deducibility. Drawing on the work of the late Richard Routley (Sylvan), it proceeds in terms of objects that may be either existent or non-existent, atworlds that may be either possible or impossible. Since Russell, non-existent objects have had a bad press in Western philosophy; Priest mounts a full-scale defence. In the process, he offers an account of both fictional and mathematical objects as non-existent.The book will be of central interest to anyone who is concerned with intentionality in the philosophy of mind or philosophy of language, the metaphysics of existence and identity, the philosophy or fiction, the philosophy of mathematics, or cognitive representation in AI.

Liars' Paradox

Author : Taylor Stevens
Publisher : Kensington Books
ISBN 13 : 149671864X
Total Pages : 338 pages
Book Rating : 4.4/5 (967 download)

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Book Synopsis Liars' Paradox by : Taylor Stevens

Download or read book Liars' Paradox written by Taylor Stevens and published by Kensington Books. This book was released on 2019-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A master of international intrigue, New York Times bestselling author Taylor Stevens introduces a pair of wild cards into the global spy game—a brother and sister who were raised to deceive—and trained to kill . . . They live in the shadows, Jack and Jill, feuding twins who can never stop running. From earliest memory they’ve been taught to hide, to hunt, to survive. Their prowess is outdone only by Clare, who has always been mentor first and mother second. She trained them in the art of espionage, tested their skills in weaponry, surveillance, and sabotage, and sharpened their minds with nerve-wracking psychological games. As they grew older they came to question her motives, her methods—and her sanity . . . Now twenty-six years old, the twins are trying to lead normal lives. But when Clare’s off-the-grid safehouse explodes and she goes missing, they’re forced to believe the unthinkable: Their mother’s paranoid delusions have been real all along. To find her, they’ll need to set aside their differences; to survive, they’ll have to draw on every skill she’s trained them to use. A twisted trail leads from the CIA, to the KGB, to an underground network of global assassins where hunters become the hunted. Everyone, it seems, wants them dead—and, for one of the twins, it’s a threat that’s frighteningly familiar and dangerously close to home . . . Filled with explosive action, suspense, and powerful human drama, Liars’ Paradox is world-class intrigue at its finest.

The Sorites Paradox

Author : Sergi Oms
Publisher : Cambridge University Press
ISBN 13 : 1107163994
Total Pages : 345 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Sorites Paradox by : Sergi Oms

Download or read book The Sorites Paradox written by Sergi Oms and published by Cambridge University Press. This book was released on 2019-10-10 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a systematic introduction and discussion of all the main solutions to the sorites paradox and its areas of influence.

The Problem of Context

Author : Roy Dilley
Publisher : Berghahn Books
ISBN 13 : 9781571817006
Total Pages : 264 pages
Book Rating : 4.8/5 (17 download)

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Book Synopsis The Problem of Context by : Roy Dilley

Download or read book The Problem of Context written by Roy Dilley and published by Berghahn Books. This book was released on 1999 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The apparently simple notion that it is contextualization and invocation of context that give form to our interpretations raises important questions about context definition. Moreover, different disciplines involved in the elucidation and interpretation of meanings construe context indifferent ways. How do these ways differ? And what analytical strategies are adopted in order to suggest that the relevant context is "self-evident"? The notion of context has received less attention than is due such a central, key concept in social anthropology, as well as in other related disciplines. This collection of contributions from a group of leading social anthropologists and anthropological linguists addresses the question of how the idea of context is constructed, invoked, and deployed in the interpretations put forward by social anthropologists. The ethnographic focus embraces peoples from regions such as Bali, Europe, Malawi, and Zaire. Primarily theoretical in its aims, the work also draws on expertise from anthropological linguistics and philosophy in order to set the issue as much in a comparative disciplinary perspective as in a comparative cross-cultural one. R.M. Dilley is Senior Lecturer in Social Anthropology at the University of St Andrews.

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.

The Law of Non-Contradiction

Author : Graham Priest
Publisher : Clarendon Press
ISBN 13 : 0191548065
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Law of Non-Contradiction by : Graham Priest

Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

Formal Aspects of Context

Author : Pierre Bonzon
Publisher : Springer Science & Business Media
ISBN 13 : 9780792363507
Total Pages : 230 pages
Book Rating : 4.3/5 (635 download)

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Book Synopsis Formal Aspects of Context by : Pierre Bonzon

Download or read book Formal Aspects of Context written by Pierre Bonzon and published by Springer Science & Business Media. This book was released on 2000-07-31 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First International and Interdisciplinary Conference on Modelling and Using Context, Rio de Janeiro, January 1997, gave rise to the present book, which contains a selection of the papers presented there, thoroughly refereed and revised. The treatment of contexts as bona fide objects of logical formalisation has gained wide acceptance, following the seminal impetus given by McCarthy in his Turing Award address. The field of natural language offers a particularly rich variety of examples and challenges to researchers concerned with the formal modelling of context, and several chapters in the volume deal with contextualisation in the setting of natural language. Others adopt a purely formal-logical viewpoint, seeking to develop general models of even wider applicability. The 12 chapters are organised in three groups: formalisation of contextual information in natural language understanding and generation, the application of context in mechanised reasoning domains, and novel non-classical logics for contextual application.