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Semantic Singularities - Paradoxes of Reference, Predication, and Truth (Hardcover)
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Semantic Singularities - Paradoxes of Reference, Predication, and Truth (Hardcover)
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This book aims to provide a solution to the semantic paradoxes. It
argues for a unified solution to the paradoxes generated by our
concepts of denotation, predicate extension, and truth. The
solution makes two main claims. The first is that our semantic
expressions 'denotes', 'extension' and 'true' are
context-sensitive. The second, inspired by a brief, tantalizing
remark of Goedel's, is that these expressions are significant
everywhere except for certain singularities, in analogy with
division by zero. A formal theory of singularities is presented and
applied to a wide variety of versions of the definability
paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons
argues that the singularity theory satisfies the following
desiderata: it recognizes that the proper setting of the semantic
paradoxes is natural language, not regimented formal languages; it
minimizes any revision to our semantic concepts; it respects as far
as possible Tarski's intuition that natural languages are
universal; it responds adequately to the threat of revenge
paradoxes; and it preserves classical logic and semantics. Simmons
draws out the consequences of the singularity theory for
deflationary views of our semantic concepts, and concludes that if
we accept the singularity theory, we must reject deflationism.
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