The Triviality of the Identity of Indiscernibles

Abstract

The Identity of Indiscernibles is the principle that objects cannot differ only numerically. It is widely held that one interpretation of this principle is trivially true: the claim that objects that bear all of the same properties are identical. This triviality ostensibly arises from haecceities (properties like \textit{is identical to a}). I argue that this is not the case; we do not trivialize the Identity of Indiscernibles with haecceities, because it is impossible to express the haecceities of indiscernible objects. I then argue that this inexpressibility generalizes to all of their trivializing properties. Whether the Identity of Indiscernibles is trivially true ultimately turns on whether we can quantify over properties that we cannot express.

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Samuel Elgin
University of California, San Diego

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References found in this work

New work for a theory of universals.David K. Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.
Ethics without principles.Jonathan Dancy - 2004 - New York: Oxford University Press.
Reason, Truth and History.Hilary Putnam - 1981 - New York: Cambridge University Press.
A System of Logic.John Stuart Mill - 1829/2002 - Longman.

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