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Measurement-Theoretic Foundations of Probabilistic Model of JND-Based Vague Predicate Logic

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Logic, Rationality, and Interaction (LORI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6953))

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Abstract

Vagueness is a ubiquitous feature that we know from many expressions in natural languages. It can invite a serious problem: the Sorites Paradox. The aim of this paper is to propose a new version of complete logic for vague predicates - JND-based vague predicate logic (JVL) which can avoid the Sorites Paradox and give answers to all of the Semantic Question, the Epistemological Question and the Psychological Question given by Graff. To accomplish this aim, we provide JVL with a probabilistic model by means of measurement theory.

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Author information

Authors and Affiliations

  1. Faculty of Arts and Sciences, Komazawa University, 1-23-1, Komazawa, Setagaya-ku, Tokyo, 154-8525, Japan

    Satoru Suzuki

Authors
  1. Satoru Suzuki
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Editor information

Editors and Affiliations

  1. University of Sevilla, Camilo José Cela s/n, 41018, Sevilla, Spain

    Hans van Ditmarsch

  2. Université Paul Sabatier, IRIT, 118 Route de Narbonne, 31062, Toulouse Cedex 04, France

    Jérôme Lang

  3. Institute of Logic and Cognition, Department of Philosophy, Sun Yat-sen University, 510275, Guangzhou, China

    Shier Ju

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Suzuki, S. (2011). Measurement-Theoretic Foundations of Probabilistic Model of JND-Based Vague Predicate Logic. In: van Ditmarsch, H., Lang, J., Ju, S. (eds) Logic, Rationality, and Interaction. LORI 2011. Lecture Notes in Computer Science(), vol 6953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24130-7_20

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  • DOI: https://doi.org/10.1007/978-3-642-24130-7_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24129-1

  • Online ISBN: 978-3-642-24130-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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