Measurement-Theoretic Foundations of Gradable-Predicate Logic

  • Satoru Suzuki
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7258)


Two approaches have predominated in research on the semantics of gradable adjectives: the Vague Predicate Analysis and the Scalar Analysis. Kennedy discusses four problems of the Vague Predicate Analysis, the two of which can be regarded as main: the Cross-Polarity Problem and the (In)commensurability Problem. The aim of this paper is to propose a new version of logic for gradable adjectives—Gradable-Predicate Logic (GPL). The model of the language \(\mathcal{L}_{\mathsf{GPL}}\) of GPL is based on the Vague Predicate Analysis, and can give an answer both to the Cross-Polarity Problem and to the (In)commensurability Problem.


cross-polar anomaly gradable adjective incommensurability measurement theory representation theorem scalar analysis uniqueness theorem vagueness vague predicate analysis 


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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Satoru Suzuki
    • 1
  1. 1.Faculty of Arts and SciencesKomazawa UniversitySetagaya-kuJapan

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