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Books > Humanities > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > Analytical & linguistic philosophy
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Vagueness and Degrees of Truth (Hardcover, New)
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Vagueness and Degrees of Truth (Hardcover, New)
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In Vagueness and Degrees of Truth, Nicholas Smith develops a new
theory of vagueness: fuzzy plurivaluationism. A predicate is said
to be vague if there is no sharply defined boundary between the
things to which it applies and the things to which it does not
apply. For example, 'heavy' is vague in a way that 'weighs over 20
kilograms' is not. A great many predicates - both in everyday talk,
and in a wide array of theoretical vocabularies, from law to
psychology to engineering - are vague. Smith argues, on the basis
of a detailed account of the defining features of vagueness, that
an accurate theory of vagueness must involve the idea that truth
comes in degrees. The core idea of degrees of truth is that while
some sentences are true and some are false, others possess
intermediate truth values: they are truer than the false sentences,
but not as true as the true ones. Degree-theoretic treatments of
vagueness have been proposed in the past, but all have encountered
significant objections. In light of these, Smith develops a new
type of degree theory. Its innovations include a definition of
logical consequence that allows the derivation of a classical
consequence relation from the degree-theoretic semantics, a unified
account of degrees of truth and subjective probabilities, and the
incorporation of semantic indeterminacy - the view that vague
statements need not have unique meanings - into the
degree-theoretic framework. As well as being essential reading for
those working on vagueness, Smith's book provides an excellent
entry-point for newcomers to the era - both from elsewhere in
philosophy, and from computer science, logic and engineering. It
contains a thorough introduction to existing theories of vagueness
and to the requisite logical background.
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