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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.
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.
She's faking her way into the most exclusive social circles for revenge. But how long can her lies hold up? Seventeen-year-old Lydia Cornwallis has arrived on an exclusive Caribbean island populated only by the ultra-rich and their staff. The Harrington sisters rule the island, throwing lavish parties and treating everyone around them like toys for their amusement, and Lydia simply can't wait to meet them. Because she's not Lydia Cornwallis. And the Harringtons have hell to pay for what they've done. When a storm hits the island and all routes to the mainland are cut off, Lydia is given the perfect opportunity to exact her murderous revenge. With time running out and her identity about to be exposed, Lydia will need to draw on epic nerve, quicksilver adaptability, and sly cunning to carry out her deadly plans.
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.
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.
Hit man Gideon traverses a steamy criminal underworld to confront the most challenging adversary of his career.
"A sizzling, chemistry-filled enemies-to-lovers romance, which is both crackaliciously addictive and angst-central. I couldn't get enough of Nash and Em. One of my favorite books of the year." - L.J. Shen, USA Today Bestselling AuthorFrom USA Today bestselling author Parker S. Huntington comes an enemies-to-lovers, slow-burn romance full of revenge and a dash of fate."She could enjoy her pretty, perfect world a little longer. Soon enough, everything she owned would be mine."I had a plan to escape the friend zone.Step one: sneak into Reed's room.Step two: sleep with him.But when the lights turned on, it wasn't familiar blue eyes I saw.These were dark, angry, and full of demons.And they belonged to Reed's much older brother.Four years later, Nash Prescott is no longer the help's angry son.I'm no longer the town's prized princess.At twenty-two, I'm broke, in need of a job.At thirty-two, he's a billionaire, in need of revenge.Who cares if my family ruined his?Who cares if he looks at me with pure loathing?Who cares if every task he assigns me is designed to torture?I need the money.Simple as that.I'll suffer his cruelty in silence, knowing there's one thing he wants more than revenge?Me.
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.
ALICE FEENEYS NEW YORK TIMES AND INTERNATIONAL BESTSELLER “Boldly plotted, tightly knotted—a provocative true-or-false thriller that deepens and darkens to its ink-black finale. Marvelous.” —AJ Finn, author of The Woman in the Window My name is Amber Reynolds. There are three things you should know about me: 1. I’m in a coma. 2. My husband doesn’t love me anymore. 3. Sometimes I lie. Amber wakes up in a hospital. She can’t move. She can’t speak. She can’t open her eyes. She can hear everyone around her, but they have no idea. Amber doesn’t remember what happened, but she has a suspicion her husband had something to do with it. Alternating between her paralyzed present, the week before her accident, and a series of childhood diaries from twenty years ago, this brilliant psychological thriller asks: Is something really a lie if you believe it's the truth?
The Red Queen has set her players on the board. Winter is keeping Prince Jalan Kendeth far from the longed-for luxuries of his southern palace. And although the North may be home to his companion, the warrior Snorri ver Snagason, he is just as eager to leave. For the Viking is ready to challenge all of Hell to bring his wife and children back into the living world. He has Loki's key - now all he needs is to find the door. As all wait for the ice to unlock its jaws, the Dead King plots to claim what was so nearly his - the key into the world - so that the dead can rise and rule