Liars' Paradox

Liars' Paradox

Author: Taylor Stevens

Publisher: Kensington Books

Published: 2019-01-01

Total Pages: 338

ISBN-13: 149671864X

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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.


Revenge of the Liar

Revenge of the Liar

Author: JC Beall

Publisher: OUP Oxford

Published: 2007-12-13

Total Pages: 384

ISBN-13: 0191528501

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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.


Truth and Paradox

Truth and Paradox

Author: Tim Maudlin

Publisher: Oxford University Press

Published: 2004-05-13

Total Pages: 223

ISBN-13: 0199247293

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Consider the sentence 'This sentence is not true'. Certain notorious paradoxes like this have bedevilled philosophical theories of truth. Tim Maudlin presents an original account of logic and semantics which deals with these paradoxes, and allows him to set out a new theory of truth-values and the norms governing claims about truth.


The Liar

The Liar

Author: Jon Barwise

Publisher: Oxford University Press

Published: 1987

Total Pages: 207

ISBN-13: 0195059441

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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 Yablo Paradox

The Yablo Paradox

Author: Roy T Cook

Publisher: OUP Oxford

Published: 2014-05-29

Total Pages: 205

ISBN-13: 0191648388

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Roy T Cook examines the Yablo paradox—a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence—with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity. The three main chapters of the book focus, respectively, on three questions that can be (and have been) asked about the Yablo construction. First we have the Characterization Problem, which asks what patterns of sentential reference (circular or not) generate semantic paradoxes. Addressing this problem requires an interesting and fruitful detour through the theory of directed graphs, allowing us to draw interesting connections between philosophical problems and purely mathematical ones. Next is the Circularity Question, which addresses whether or not the Yablo paradox is genuinely non-circular. Answering this question is complicated: although the original formulation of the Yablo paradox is circular, it turns out that it is not circular in any sense that can bear the blame for the paradox. Further, formulations of the paradox using infinitary conjunction provide genuinely non-circular constructions. Finally, Cook turns his attention to the Generalizability Question: can the Yabloesque pattern be used to generate genuinely non-circular variants of other paradoxes, such as epistemic and set-theoretic paradoxes? Cook argues that although there are general constructions-unwindings—that transform circular constructions into Yablo-like sequences, it turns out that these sorts of constructions are not 'well-behaved' when transferred from semantic puzzles to puzzles of other sorts. He concludes with a short discussion of the connections between the Yablo paradox and the Curry paradox.


The Revision Theory of Truth

The Revision Theory of Truth

Author: Anil Gupta

Publisher: MIT Press

Published: 1993

Total Pages: 334

ISBN-13: 9780262071444

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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.


Unity, Truth and the Liar

Unity, Truth and the Liar

Author: Shahid Rahman

Publisher: Springer Science & Business Media

Published: 2008-09-27

Total Pages: 351

ISBN-13: 1402084684

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Andinmy haste, I said: “Allmenare Liars” 1 —Psalms 116:11 The Original Lie Philosophical analysis often reveals and seldom solves paradoxes. To quote Stephen Read: A paradox arises when an unacceptable conclusion is supported by a plausible argument from apparently acceptable premises. [...] So three di?erent reactions to the paradoxes are possible: to show that the r- soning is fallacious; or that the premises are not true after all; or that 2 the conclusion can in fact be accepted. There are sometimes elaborate ways to endorse a paradoxical conc- sion. One might be prepared to concede that indeed there are a number of grains that make a heap, but no possibility to know this number. However, some paradoxes are more threatening than others; showing the conclusiontobeacceptableisnotaseriousoption,iftheacceptanceleads to triviality. Among semantic paradoxes, the Liar (in any of its versions) 3 o?ers as its conclusion a bullet no one would be willing to bite. One of the most famous versions of the Liar Paradox was proposed by Epimenides, though its attribution to the Cretan poet and philosopher has only a relatively recent history. It seems indeed that Epimenides was mentioned neither in ancient nor in medieval treatments of the Liar 1 Jewish Publication Society translation. 2 Read [1].


Paradox and Paraconsistency

Paradox and Paraconsistency

Author: John Woods

Publisher: Cambridge University Press

Published: 2003

Total Pages: 384

ISBN-13: 9780521009348

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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.


Liars and Heaps

Liars and Heaps

Author: J. C. Beall

Publisher: Oxford University Press

Published: 2003

Total Pages: 369

ISBN-13: 9780199264803

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Logic is fundamental to thought and language. But which logical principles are correct? The paradoxes play a crucial role in answering that question. The so-called Liar and Heap paradoxes challenge our basic ideas about logic; at the very least, they teach us that the correct logical principles are not as obvious as common sense would have it. The essays in this volume, written by leading figures in the field, discuss novel thoughts about the paradoxes.


Liars' Legacy

Liars' Legacy

Author: Taylor Stevens

Publisher: Kensington Books

Published: 2019-12-31

Total Pages: 387

ISBN-13: 1496718666

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They were born in the shadows. Schooled in espionage. Taught to kill and trained to disappear. In this captivating masterwork from bestselling author Taylor Stevens, elusive twins Jack and Jill take the global spy game to electric levels. The assassin broker is dead. The power void has left the network he controlled without restraints, and the world’s deadliest killers free to pursue their own vendettas and political agendas. The United States government, unwilling to risk upheaval and global chaos, has mobilized killers of its own to preemptively hunt down and destroy each potential threat. Among the most dangerous on that list are Jack and Jill. Often estranged—always connected by a legacy they can’t escape—the siblings have eluded many who want them dead. As they board a flight to Berlin hoping to meet the father they’ve never known, they suspect a trap. What they can’t predict is how far a high-level Russian operation will go to secure their skills, or how hard the U.S. operatives sent to stop them will fight to assassinate them first. For the twins, resistance and cooperation both mean death. Caught between two superpowers with unlimited resources and unable to trust each other, brother and sister will match wit against skill in a life-threatening chase across Europe, back to the United States, and into an unholy alliance that could change the balance of global power forever. Filled with pulse-pounding tension, blistering action, and intense human drama, Liars’ Legacy is world-class intrigue at its best.