Truth and Paradox

Truth and Paradox
Author: Tim Maudlin,Department of Philosophy Tim Maudlin
Publsiher: Oxford University Press on Demand
Total Pages: 223
Release: 2004-05-13
Genre: Language Arts & Disciplines
ISBN: 9780199247295

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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.

Saving Truth From Paradox

Saving Truth From Paradox
Author: Hartry Field
Publsiher: OUP Oxford
Total Pages: 432
Release: 2008-03-06
Genre: Philosophy
ISBN: 9780191528163

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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.

The Grace and Truth Paradox

The Grace and Truth Paradox
Author: Randy Alcorn
Publsiher: Multnomah
Total Pages: 98
Release: 2009-06-24
Genre: Religion
ISBN: 9780307564696

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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.”

Truth and Paradox

Truth and Paradox
Author: Tim Maudlin
Publsiher: Clarendon Press
Total Pages: 224
Release: 2004-05-13
Genre: Philosophy
ISBN: 9780191530012

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Truth and Paradox offers a comprehensive account of truth values and the norms governing claims about truth, based on a new approach to logic and semantics. Since the seminal work of Tarski in the mid-twentieth century, the Liar paradox and other related paradoxes have stood in the way of a precise philosophical account of truth. Tim Maudlin draws on analogies from mathematical physics to explicate the origin of classical truth-value gaps, and to provide an account of truth that avoids any hierarchy of languages or of truth predicates. He also closely investigates our reasoning about truth, including apparently unobjectionable reasoning about the paradoxical sentences. The fallacies in that reasoning are located not in any inferences concerning truth, but in the foundations of standard logic. Blocking the paradoxical arguments requires emendation of classical logic, and the requisite emendations call into question the existence of any a priori logical truths. Maudlin also includes a discussion of facts and factuality, most particularly the question of whether there are any facts about truth. All philosophers interested in logic and language will find this a stimulating read.

True Paradox

True Paradox
Author: David Skeel
Publsiher: InterVarsity Press
Total Pages: 178
Release: 2014-08-28
Genre: Religion
ISBN: 9780830896691

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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.

Truth Vagueness and Paradox

Truth  Vagueness  and Paradox
Author: Vann McGee
Publsiher: Hackett Publishing
Total Pages: 258
Release: 1990-01-01
Genre: Philosophy
ISBN: 0872200876

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

Truth Without Paradox

Truth Without Paradox
Author: David Johnson
Publsiher: Rowman & Littlefield
Total Pages: 216
Release: 2004
Genre: Philosophy
ISBN: 0847696863

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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.

The Revision Theory of Truth

The Revision Theory of Truth
Author: Anil Gupta,Nuel D. Belnap
Publsiher: MIT Press
Total Pages: 334
Release: 1993
Genre: Mathematics
ISBN: 0262071444

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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.