Abstract.
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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References
J. Atlas (1990) The Implications of Conversation: The 1990 Leuven Lectures Pomona College Claremont, CA
Batens, D.: 2001, Adaptive Logics Home Page, http://logica.rug.ac.be/adlog/al.html
S. Buss (1998) An Introduction to Proof Theory S. Buss (Eds) Handbook of Proof Theory. Elsevier Amsterdam 1–78
P. Grice (1989) Studies in the Way of Words Harvard University Press Cambridge, MA
Horn. (1989) A Natural History of Negation University of Chicago Press Chicago
J. Horty (2001) Nonmonotonic Logic L. Goble (Eds) The Blackwell Guide to Philosophical Logic. Blackwell Oxford 336–361
P. Johnson-Laird R. Byrne (2002) ArticleTitleConditionals: A Theory of Meaning, Pragmatics, and Inference Psychological Review 109 646–678 Occurrence Handle10.1037/0033-295X.109.4.646
M. Lambalgen Particlevan K. Stenning (2001) ArticleTitleSemantics as a Foundation for Psychology: A Case-Study of Wason’s Selection Task Journal of Logic, Language and Information 10 273–317
F. Levinson (2000) Presumptive Meanings The Theory of Generalized Conversational Implicature. MIT Press Cambridge, MA
D. Lewis (1976) ArticleTitleProbabilities of Conditionals and Conditional Probabilities Philosophical Review 85 297–315
I. Noveck G. Chierchia (2002) ArticleTitleLinguistic-Pragmatic Factors in Interpreting Disjunctions Thinking and Reasoning 8 297–326
D. Sperber D. Wilson (1986) Relevance Blackwell Oxford
R. Thomason (1970) Symbolic Logic. An Introduction Macmillan London
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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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DOI: https://doi.org/10.1007/s11229-005-9076-7