On the Quantitative Scalar or-Implicature
Author(s) -
Leon Horsten
Publication year - 2005
Publication title -
synthese
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.851
H-Index - 65
eISSN - 1573-0964
pISSN - 0039-7857
DOI - 10.1007/s11229-005-9076-7
Subject(s) - implicature , philosophy of language , interpretation (philosophy) , inference , philosophy of science , scalar (mathematics) , algebraic number , mathematics , computer science , metaphysics , epistemology , linguistics , artificial intelligence , philosophy , pragmatics , programming language , mathematical analysis , geometry
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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