A Note on Logicality of Generalized Quantifiers

Logica Universalis 15 (2):149-152 (2021)
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Abstract

This note follows up an earlier paper in which a possibility of defining logical constants within abstract logical frameworks was discussed, by using duals as a general method of applying the idea of invariance under replacement as a criterion for logicality. In the present note, this approach is applied to the discussion on logicality of generalized quantifiers. It is demonstrated that generalized quantifiers are logical constants by this criterion.

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Consequence Mining: Constans Versus Consequence Relations.Denis Bonnay & Dag Westerståhl - 2012 - Journal of Philosophical Logic 41 (4):671-709.
Abstract Logical Constants.Tin Perkov - 2018 - Logica Universalis 12 (3-4):341-350.

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