Abstract
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.
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Suzuki, S. (2012). Measurement-Theoretic Foundations of Gradable-Predicate Logic. In: Okumura, M., Bekki, D., Satoh, K. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2011. Lecture Notes in Computer Science(), vol 7258. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32090-3_8
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DOI: https://doi.org/10.1007/978-3-642-32090-3_8
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