Identity and quantification

Philosophical Studies 174 (3):759-770 (2017)
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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.

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Kai Wehmeier
University of California, Irvine

Citations of this work

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

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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.

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