Scope dominance with monotone quantifiers over finite domains

Journal of Logic, Language and Information 13 (4):385-402 (2004)
  Copy   BIBTEX

Abstract

We characterize pairs of monotone generalized quantifiers Q1 and Q2 over finite domains that give rise to an entailment relation between their two relative scope construals. This relation between quantifiers, which is referred to as scope dominance, is used for identifying entailment relations between the two scopal interpretations of simple sentences of the form NP1–V–NP2. Simple numerical or set-theoretical considerations that follow from our main result are used for characterizing such relations. The variety of examples in which they hold are shown to go far beyond the familiar existential-universal type

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,045

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

Scope dominance with upward monotone quantifiers.Alon Altman, Ya'Acov Peterzil & Yoad Winter - 2005 - Journal of Logic, Language and Information 14 (4):445-455.
Unary quantifiers on finite models.Jouko Väänänen - 1997 - Journal of Logic, Language and Information 6 (3):275-304.
A unified approach to split scope.Klaus Abels & Luisa Martí - 2010 - Natural Language Semantics 18 (4):435-470.
Generalized Quantifiers in Dependence Logic.Fredrik Engström - 2012 - Journal of Logic, Language and Information 21 (3):299-324.
More than Two Quantifiers.Shoichi Takahashi - 2006 - Natural Language Semantics 14 (1):57-101.
Definability of polyadic lifts of generalized quantifiers.Lauri Hella, Jouko Väänänen & Dag Westerståhl - 1997 - Journal of Logic, Language and Information 6 (3):305-335.
How indefinites choose their scope.Adrian Brasoveanu & Donka F. Farkas - 2011 - Linguistics and Philosophy 34 (1):1-55.

Analytics

Added to PP
2009-01-28

Downloads
63 (#250,547)

6 months
8 (#505,181)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Polyadic Quantifiers.Johan Van Benthem - 1989 - Linguistics and Philosophy 12 (4):437-464.
Polyadic quantifiers.Johan Benthem - 1989 - Linguistics and Philosophy 12 (4):437 - 464.
Scopeless quantifiers and operators.Thomas Ede Zimmermann - 1993 - Journal of Philosophical Logic 22 (5):545 - 561.
Self-commuting quantifiers.Dag Westerståhl - 1996 - Journal of Symbolic Logic 61 (1):212-224.
Scope dominance with upward monotone quantifiers.Alon Altman, Ya'Acov Peterzil & Yoad Winter - 2005 - Journal of Logic, Language and Information 14 (4):445-455.

View all 7 references / Add more references