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Contradictions at the Borders

  • David Ripley
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6517)

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.

Keywords

Classical Logic Borderline Case Error Theory Fuzzy Theorist Paraconsistent Logic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • David Ripley
    • 1
  1. 1.Institut Jean Nicod, DEC-ENSFrance

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