Identity and quantification

Philosophical Studies 174 (3):759-770 (2017)
  Copy   BIBTEX

Abstract

It is a philosophical commonplace that quantification involves, invokes, or presupposes, the relation of identity. There seem to be two major sources for this belief: the conviction that identity is implicated in the phenomenon of bound variable recurrence within the scope of a quantifier; memories of Quine’s insistence that quantification requires absolute identity for the values of variables. With respect to, I show that the only extant argument for a dependence of variable recurrence on identity, due to John Hawthorne, fails. I further show that the function of variable recurrence is not subsumed under that of identity, so that a dependence of the former on the latter, if any, would have to be of a rather indirect nature. With respect to, I argue that the relevant passage in Quine fails to establish a connection between quantification and the identity relation, and indeed wasn’t intended by Quine to do so.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 101,795

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

Relative Identity.Harold Noonan - 1997 - In Bob Hale, Crispin Wright & Alexander Miller (eds.), A Companion to the Philosophy of Language. Chichester, West Sussex, UK: Wiley-Blackwell. pp. 1013–1032.
Identity in Mares-Goldblatt Models for Quantified Relevant Logic.Shawn Standefer - 2021 - Journal of Philosophical Logic 50 (6):1389-1415.
Belief and propositions.Arthur Pap - 1957 - Philosophy of Science 24 (2):123-136.
Necessity and Identity.L. F. Goble - 1972 - Canadian Journal of Philosophy 2 (1):55 - 72.
Why Identity is Fundamental.Otávio Bueno - 2014 - American Philosophical Quarterly 51 (4):325-332.
Bound Variables and Schematic Letters.Philip Hugly & Charles Sayward - 1981 - Logique Et Analyse 95 (95):425-429.

Analytics

Added to PP
2016-06-18

Downloads
97 (#218,933)

6 months
7 (#740,041)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Kai Wehmeier
University of California, Irvine

Citations of this work

The Things We Do with Identity.Alexis Burgess - 2018 - Mind 127 (505):105-128.

Add more citations

References found in this work

Reference and generality.P. T. Geach - 1962 - Ithaca, N.Y.,: Cornell University Press. Edited by Michael C. Rea.
Identity.Harold Noonan & Benjamin L. Curtis - 2022 - Stanford Encyclopedia of Philosophy.
Variables Explained Away.Willard V. Quine - 1960 - Journal of Symbolic Logic 32 (1):112-112.
Reply to professor Marcus.W. V. Quine - 1961 - Synthese 13 (4):323 - 330.

View all 13 references / Add more references