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On the Quantitative Scalar or-Implicature

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Two simple generalized conversational implicatures are investigated :(1) the quantitative scalar implicature associated with ‘or’, and (2) the ‘not-and’-implicature, which is the dual to (1). It is argued that it is more fruitful to consider these implicatures as rules of interpretation and to model them in an algebraic fashion than to consider them as nonmonotonic rules of inference and to model them in a proof-theoretic way.

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Correspondence to Leon Horsten.

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Horsten, L. On the Quantitative Scalar or-Implicature. Synthese 146, 111–127 (2005). https://doi.org/10.1007/s11229-005-9076-7

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  • Conversational Implicature
  • Scalar Implicature
  • Quantitative Scalar
  • Nonmonotonic Rule
  • Generalize Conversational Implicature