A Note on Logicality of Generalized Quantifiers

Logica Universalis 15 (2):149-152 (2021)
  Copy   BIBTEX


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.



    Upload a copy of this work     Papers currently archived: 89,703

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Logical Quantifiers.Gila Sher - 2012 - In D. Graff Fara & G. Russell (eds.), Routledge Companion to Philosophy of Language. Routledge. pp. 579-595.
Generalized Quantifiers, Exception Phrases, and Logicality.Shalom Lappin - 1995 - Logic Journal of the IGPL 3 (2-3):203-222.
Definability of second order generalized quantifiers.Juha Kontinen - 2010 - Archive for Mathematical Logic 49 (3):379-398.
The Hierarchy Theorem for Second Order Generalized Quantifiers.Juha Kontinen - 2006 - Journal of Symbolic Logic 71 (1):188 - 202.
Dynamic Generalized Quantifiers.Martin van den Berg - 1996 - In J. van der Does & Van J. Eijck (eds.), Quantifiers, Logic, and Language. Stanford University. pp. 63--94.
Generalized Quantifiers, and Beyond.Hanoch Ben-Yami - 2009 - Logique Et Analyse (208):309-326.
Definability of polyadic lifts of generalized quantifiers.Lauri Hella, Jouko Väänänen & Dag Westerståhl - 1997 - Journal of Logic, Language and Information 6 (3):305-335.


Added to PP

20 (#649,013)

6 months
4 (#313,042)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

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.

Add more references