Symmetric and contrapositional quantifiers

doi:10.1007/s10849-006-9019-9

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Symmetric and contrapositional quantifiers

R. Zuber

2007

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Journal

Journal of Logic, Language and Information

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Key Takeaway

Key Takeaway: Symmetric and contrapositional quantifiers can be generalized to higher order types, preserving their relations with generalized quantifiers theory.

Abstract

The article studies two related issues. First, it introduces the notion of the contraposition of quantifiers which is a “dual” notion of symmetry and has similar relations to co-intersectivity as symmetry has to intersectivity. Second, it shows how symmetry and contraposition can be generalised to higher order type quantifiers, while preserving their relations with other notions from generalized quantifiers theory.

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