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.

Saving Truth From Paradox

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

Get Book

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.

Truth Without Paradox

Truth Without Paradox PDF Author: David Johnson
Publisher: Rowman & Littlefield
ISBN: 9780847696864
Category : Philosophy
Languages : en
Pages : 216

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Book Description
In Truth Without Paradox, David Johnson purports to solve several of the traditional problems of metaphysics, pertaining to truth, logic, similitude, morality, and God. In the first chapter, he argues (in three independent ways) against the general acceptability of the schema 'if p then it is true that p', claiming thereby to resolve the paradoxes of the liar and of the sorites. In the second chapter, he clarifies what was (and what was not) settled by Quine about "truth by convention." In the third chapter, he attempts to shed light on the obscure notion of "sameness," or "uniformity," especially in its application to inductive extrapolation and to the grue paradox. In the fourth chapter, he purports to solve the "Is/Ought" problem of moral philosophy. The fifth and final chapter, which will be of interest to philosophers of religion, contains what the author calls an historical proof of the existence of God, based on (among other things) a resolution of the lottery paradox.

Truth and Paradox

Truth and Paradox PDF Author: Tim Maudlin
Publisher: Oxford University Press on Demand
ISBN: 0199247293
Category : Language Arts & Disciplines
Languages : en
Pages : 223

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Book Description
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 Grace and Truth Paradox

The Grace and Truth Paradox PDF Author: Randy Alcorn
Publisher: Multnomah
ISBN: 030756469X
Category : Religion
Languages : en
Pages : 98

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Book Description
Christians trying to model their lives after Jesus may find that He gets buried under lists, rules, and formulas. Now bestselling author Randy Alcorn offers a simple two-point checklist for Christlikeness based on John 1:14. The test consists of balancing grace and truth, equally and unapologetically. Grace without truth deceives people, and ceases to be grace. Truth without grace crushes people, and ceases to be truth. Alcorn shows the reader how to show the world Jesus -- offering grace instead of the world's apathy and tolerance, offering truth instead of the world's relativism and deception. Grace or Truth…or Both? Truth without grace breeds self-righteousness and crushing legalism. Grace without truth breeds deception and moral compromise. Is it possible to embrace both in balance? Jesus did. Randy Alcorn offers a simple yet profound two-point checklist of Christlikeness. “In the end,” says Alcorn, “we don’t need grace or truth. We need grace and truth. And for people to see Jesus in us, they must see both.”

True Paradox

True Paradox PDF Author: David Skeel
Publisher: InterVarsity Press
ISBN: 0830896694
Category : Religion
Languages : en
Pages : 178

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Book Description
Foreword Review's Annual INDIEFAB Book of the Year Finalist How do we explain human consciousness? Where do we get our sense of beauty? Why do we recoil at suffering? Why do we have moral codes that none of us can meet? Why do we yearn for justice, yet seem incapable of establishing it? Any philosophy or worldview must make sense of the world as we actually experience it. We need to explain how we can discern qualities such as beauty and evil and account for our practices of morality and law. The complexity of the contemporary world is sometimes seen as an embarrassment for Christianity. But law professor David Skeel makes a fresh case for the plausibility and explanatory power of Christianity. The Christian faith offers plausible explanations for the central puzzles of our existence, such as our capacity for idea-making, our experience of beauty and suffering, and our inability to create a just social order. When compared with materialism or other sets of beliefs, Christianity provides a more comprehensive framework for understanding human life as we actually live it. We need not deny the complexities of life as we experience it. But the paradoxes of our existence can lead us to the possibility that the existence of God could make sense of it all.

The Paradox of Being

The Paradox of Being PDF Author: Poul Andersen
Publisher: BRILL
ISBN: 1684171040
Category : Religion
Languages : en
Pages : 370

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Book Description
The question of truth has never been more urgent than today, when the distortion of facts and the imposition of pseudo-realities in the service of the powerful have become the order of the day. In The Paradox of Being Poul Andersen addresses the concept of truth in Chinese Daoist philosophy and ritual. His approach is unapologetically universalist, and the book may be read as a call for a new way of studying Chinese culture, one that does not shy away from approaching “the other” in terms of an engagement with “our own” philosophical heritage. The basic Chinese word for truth is zhen, which means both true and real, and it bypasses the separation of the two ideas insisted on in much of the Western philosophical tradition. Through wide-ranging research into Daoist ritual, both in history and as it survives in the present day, Andersen shows that the concept of true reality that informs this tradition posits being as a paradox anchored in the inexistent Way (Dao). The preferred way of life suggested by this insight consists in seeking to be an exception to ordinary norms and rules of behavior which nonetheless engages what is common to us all.

Truth, Vagueness, and Paradox

Truth, Vagueness, and Paradox PDF Author: Vann McGee
Publisher: Hackett Publishing
ISBN: 9780872200876
Category : Philosophy
Languages : en
Pages : 258

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Book Description
Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.

Unity, Truth and the Liar

Unity, Truth and the Liar PDF Author: Shahid Rahman
Publisher: Springer Science & Business Media
ISBN: 1402084684
Category : Philosophy
Languages : en
Pages : 351

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Book Description
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].

Revenge of the Liar

Revenge of the Liar PDF Author: JC Beall
Publisher: OUP Oxford
ISBN: 0191528501
Category : Philosophy
Languages : en
Pages : 384

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Book Description
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.

Replacing Truth

Replacing Truth PDF Author: Kevin Scharp
Publisher: Oxford University Press
ISBN: 0199653852
Category : Philosophy
Languages : en
Pages : 342

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Book Description
Kevin Scharp proposes an original account of the nature and logic of truth, on which truth is an inconsistent concept that should be replaced for certain theoretical purposes. He argues that truth is best understood as an inconsistent concept; develops an axiomatic theory of truth; and offers a new kind of possible-worlds semantics for this theory.