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Logic, Language and Meaning

Volume 7218 of the series Lecture Notes in Computer Science pp 281-290

Generalizing Monotonicity Inferences to Opposition Inferences

  • Ka-Fat ChowAffiliated withThe Hong Kong Polytechnic University

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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