Semantic Singularities: Paradoxes of Reference, Predication, and Truth free ebook download.

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Semantic Singularities: Paradoxes of Reference, Predication, and Truth free ebook download

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Author(s):	Keith Simmons

Date:	2018-06-21	Format:	pdf	Language:	English	ISBN/ASIN:	0198791542
Pages:	272	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	5/28/2019 6:50:18 AM

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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 Godel'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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Tags: Paradoxes Predication Reference Semantic Singularities Truth

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