Logic, Language and Meaning pp 281-290
Generalizing Monotonicity Inferences to Opposition Inferences
- 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
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.
Keywordsmonotonicity inferences opposition inferences opposition properties OP-chain Generalized Quantifier Theory Natural Logic
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