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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Saving Truth From Paradox (Paperback)
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Saving Truth From Paradox (Paperback)
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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 Godel
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 theoremsand 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.
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