Generalizing Monotonicity Inferences to Opposition Inferences

  • Ka-Fat Chow
Conference paper

DOI: 10.1007/978-3-642-31482-7_29

Part of the Lecture Notes in Computer Science book series (LNCS, volume 7218)
Cite this paper as:
Chow KF. (2012) Generalizing Monotonicity Inferences to Opposition Inferences. In: Aloni M., Kimmelman V., Roelofsen F., Sassoon G.W., Schulz K., Westera M. (eds) Logic, Language and Meaning. Lecture Notes in Computer Science, vol 7218. Springer, Berlin, Heidelberg

Abstract

This paper generalizes the notion of monotonicities to opposition properties (OPs). Some propositions regarding the OPs of determiners will be proposed and proved. We will also define the notion of OP-chain and deduce a condition that enables us to determine the OPs of an iterated quantifier in its predicates based on the OPs of its constituent determiners.

Keywords

monotonicity inferences opposition inferences opposition properties OP-chain Generalized Quantifier Theory Natural Logic 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ka-Fat Chow
    • 1
  1. 1.The Hong Kong Polytechnic UniversityHong Kong

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