, Volume 16, Issue 1, pp 1-13
Date: 02 Nov 2006

Symmetric and contrapositional quantifiers

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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.

Thanks to the referee and Ross Charnock for some corrections and various suggestions