Journal of Logic, Language and Information

, Volume 16, Issue 1, pp 1–13

Symmetric and contrapositional quantifiers

Original Article


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.


Contaposition of quantifiers Symmetry of higher order quantifiers 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  1. 1.Laboratoire de Linguistique FormelleCNRS and Universite Paris 7ParisFrance

Personalised recommendations