Operators vs. quantifiers: the view from linguistics

Inquiry: An Interdisciplinary Journal of Philosophy 64 (5-6):564-592 (2021)
  Copy   BIBTEX

Abstract

ABSTRACT In several publications, François Recanati argues that time, world, location, and similar constituents are not arguments of the verb, although they do affect truth conditions. However, he points out that this fact does not decide the debate regarding whether these notions are represented as sentential operators variables bound by quantifiers, as both approaches can be made compatible with such non-arguments. He makes these points using philosophical arguments; in this paper I use linguistic evidence from a variety of languages. Specifically, I demonstrate that time, world, location, and person behave syntactically and semantically the same across languages. Hence, either all are arguments, or neither are; and the evidence points to the latter position. The cross-linguistic data give rise to a generalization, which connects the availability of quantifying over times, worlds, locations, or persons with the availability of indexical expressions of the corresponding type. For example, a language that does not have temporal indexicals cannot have tense. I demonstrate that this generalization follows naturally from the quantifier approach, but would remain a mystery under the operator view. Therefore, the cross-linguistic evidence argues in the favor of the quantificational approach.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,440

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

Quantifiers as modal operators.Steven T. Kuhn - 1980 - Studia Logica 39 (2-3):145 - 158.
Meanwhile, within the Frege boundary.Paul Dekker - 2003 - Linguistics and Philosophy 26 (5):547-556.
Generalized distributivity operators.Peter Lasersohn - 1998 - Linguistics and Philosophy 21 (1):83-93.
Operators on branched quantifiers.Mark A. Brown - 1995 - In M. Krynicki, M. Mostowski & L. Szczerba (eds.), Quantifiers: Logics, Models and Computation. Kluwer Academic Publishers. pp. 21--61.
Expressive completeness in modal language.Allen Hazen - 1976 - Journal of Philosophical Logic 5 (1):25--46.
Epistemic Operators in Dependence Logic.Pietro Galliani - 2013 - Studia Logica 101 (2):367-397.
Polyadic quantifiers.Johan Benthem - 1989 - Linguistics and Philosophy 12 (4):437 - 464.
Positive set-operators of low complexity.Athanossios Tzouvaras - 2003 - Mathematical Logic Quarterly 49 (3):284.
Semantic nonspecificity and mixed quantifiers.Kent Bach - 1980 - Linguistics and Philosophy 4 (4):593 - 605.
Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Quantification.Anna Szabolcsi - 2010 - New York: Cambridge University Press.
Interrogative quantifiers within scope.Jürgen Pafel - 1999 - Linguistics and Philosophy 22 (3):255-310.

Analytics

Added to PP
2018-07-04

Downloads
60 (#270,233)

6 months
11 (#248,505)

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

Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. Oxford University Press. pp. 481-563.
A Natural History of Negation.Laurence R. Horn - 1989 - University of Chicago Press.
Barriers.Noam Chomsky - 1986 - MIT Press.
A Natural History of Negation.Jon Barwise & Laurence R. Horn - 1991 - Journal of Symbolic Logic 56 (3):1103.

View all 18 references / Add more references