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Semantic Singularities
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Semantic Singularities: Paradoxes of Reference, Predication, and Truth

Keith Simmons

Abstract

This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by the concepts of reference or 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 Gödel’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 ... More

Keywords: paradox, context, denotation, extension, truth, Russell’s paradox, Liar paradox, revenge paradox, singularity, universality

Bibliographic Information

Print publication date: 2018 Print ISBN-13: 9780198791546
Published to Oxford Scholarship Online: July 2018 DOI:10.1093/oso/9780198791546.001.0001

Authors

Affiliations are at time of print publication.

Keith Simmons, author
Professor of Philosophy, University of Connecticut