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Contradictions at the Borders

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Book cover Vagueness in Communication (VIC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6517))

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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.

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Ripley, D. (2011). Contradictions at the Borders. In: Nouwen, R., van Rooij, R., Sauerland, U., Schmitz, HC. (eds) Vagueness in Communication. VIC 2009. Lecture Notes in Computer Science, vol 6517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18446-8_10

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  • DOI: https://doi.org/10.1007/978-3-642-18446-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18445-1

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