Contradictions at the borders

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Abstract

The purpose of this essay is to shed some light on a certain type of sentence, which I call a borderline contradiction. A borderline contradiction is a sentence of the form Fa ∧¬Fa, for some vague predicate F and some borderline case a of F, or a sentence equivalent to such a sentence. For example, if Jackie is a borderline case of 'rich', then 'Jackie is rich and Jackie isn't rich' is a borderline contradiction. Many theories of vague language have entailments about borderline contradictions; correctly describing the behavior of borderline contradictions is one of the many tasks facing anyone offering a theory of vague language.

Original languageEnglish
Title of host publicationVagueness in Communication - International Workshop, ViC 2009, Held as Part of ESSLLI 2009, Revised Selected Papers
EditorsRick Nouwen, Robert van Rooij, Uli Sauerland, Hans-Christian Schmitz
PublisherSpringer
Pages169-188
Number of pages20
ISBN (Print)9783642184451
DOIs
Publication statusPublished - 8 Feb 2011
Externally publishedYes
EventInternational Workshop on Vagueness in Communication, ViC 2009, Held as Part of 2009 European Summer School in Logic, Language and Information, ESSLLI 2009 - Bordeaux, France
Duration: 20 Jul 200924 Jul 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6517 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Workshop on Vagueness in Communication, ViC 2009, Held as Part of 2009 European Summer School in Logic, Language and Information, ESSLLI 2009
CountryFrance
CityBordeaux
Period20/07/0924/07/09

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