Saving Truth From Paradox 1st Edition by Hartry Field (PDF)

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 G:odel 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book seems determined to solve the semantic paradoxes by brute force of intellect, which means it reviews the possible solutions in a systematic and forceful way in order to arrive at one possibility by process of elimination. Although Hartry confesses to the survey of the literature being highly biased by his personal view (and I hardly think it could be written any other way), it ends up providing quite a good overview of previous proposals. Unlike some other titles in the area, this book also explains everything from scratch, so that it is suitable for the reader with a background in logic but no exposure to formal theories of truth.

⭐Great book, interesting and comprehensive. Must read for anyone, interesting in truth theory

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