The Issue
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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