On the Innocence and Determinacy of Plural Quantification

Noûs 50 (3):565–583 (2016)
  Copy   BIBTEX

Abstract

Plural logic is widely assumed to have two important virtues: ontological innocence and determinacy. It is claimed to be innocent in the sense that it incurs no ontological commitments beyond those already incurred by the first-order quantifiers. It is claimed to be determinate in the sense that it is immune to the threat of non-standard interpretations that confronts higher-order logics on their more traditional, set-based semantics. We challenge both claims. Our challenge is based on a Henkin-style semantics for plural logic that does not resort to sets or set-like objects to interpret plural variables, but adopts the view that a plural variable has many objects as its values. Using this semantics, we also articulate a generalized notion of ontological commitment which enables us to develop some ideas of earlier critics of the alleged ontological innocence of plural logic.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,923

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

On the ontological commitment of mereology.Massimiliano Carrara & Enrico Martino - 2009 - Review of Symbolic Logic 2 (1):164-174.
Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Plural Logic and Sensitivity to Order.Salvatore Florio & David Nicolas - 2015 - Australasian Journal of Philosophy 93 (3):444-464.
Plural Logicism.Francesca Boccuni - 2013 - Erkenntnis 78 (5):1051-1067.
On What There Are.Philippe De Rouilhan - 2002 - Proceedings of the Aristotelian Society 102:183 - 200.
Plural quantification logic: A critical appraisal.Hanoch Ben-Yami - 2009 - Review of Symbolic Logic 2 (1):208-232.
Superplurals in English.Øystein Linnebo & David Nicolas - 2008 - Analysis 68 (3):186–197.

Analytics

Added to PP
2014-11-11

Downloads
280 (#74,980)

6 months
34 (#103,924)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Øystein Linnebo
University of Oslo
Salvatore Florio
University of Oslo

Citations of this work

Nominalist Realism.Nicholas K. Jones - 2018 - Noûs 52 (4):808-835.
Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Mathematical Internal Realism.Tim Button - 2022 - In Sanjit Chakraborty & James Ferguson Conant (eds.), Engaging Putnam. Berlin, Germany: De Gruyter. pp. 157-182.

View all 21 citations / Add more citations

References found in this work

Plural Logic.Alex Oliver & Timothy John Smiley - 2013 - Oxford, England: Oxford University Press UK. Edited by T. J. Smiley.
Plural predication.Thomas J. McKay - 2006 - New York: Oxford University Press.

View all 35 references / Add more references