Ad hoc identity, Goyal complementarity, and counting quantum phenomena

Abstract

I introduce a thin concept of ad hoc identity -- distinct from metaphysical accounts of either relative identity or absolute identity -- and an equally thin account of concepts and their content. According to the latter minimalist view of concepts, the content of a concept has behavioral consequences, and so content can be bounded if not determined by appeal to linguistic and psychological evidence. In the case of counting practices, this evidence suggests that the number concept depends on a notion of identity at least as strong as ad hoc identity. In the context of nonrelativistic QM in particular, all of the counting procedures appealed to in the existing literature on nonindividuality are shown to involve ad hoc identity. I then show that Goyal Complementarity and the associated derivation of a strong symmetrization principle in QM can be understood in terms ad hoc identity. Specifically, persistence and non-persistence models of quantum processes are seen to be complementary in the sense that they involve two relations of ad hoc identity that occasionally overlap in empirically meaningful ways. Finally, I attempt to draw out consequences for theories of nonindividuality from the above conceptual analysis. The upshot is that counting and definite cardinality are incompatible with nonindividuality, and that none of the counting procedures cited for quantum phenomena offer positive support for an interpretation in terms of nonindividuals.

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Benjamin Jantzen
Virginia Tech

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References found in this work

The Language of Thought.Jerry A. Fodor - 1975 - Harvard University Press.
Identity in physics: a historical, philosophical, and formal analysis.Steven French & Decio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.
Logic matters.Peter Thomas Geach - 1972 - Oxford,: Blackwell.
Thought and talk.Donald Davidson - 1975 - In Samuel D. Guttenplan & Samuel Guttenplan (eds.), Mind and Language. Clarendon Press. pp. 1975--7.
Discerning Fermions.Simon Saunders & F. A. Muller - 2008 - British Journal for the Philosophy of Science 59 (3):499 - 548.

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