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Revisiting the Applicability of Metaphysical Identity in Quantum Mechanics

da Costa, Newton C. A. and de Ronde, Christian (2016) Revisiting the Applicability of Metaphysical Identity in Quantum Mechanics. [Preprint]

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Abstract

We discuss the hypothesis that the debate about the interpretation of the orthodox formalism of quantum mechanics might have been misguided right from the start by a biased metaphysical interpretation of the formalism and its inner mathematical relations. In particular, we focus on the orthodox interpretation of the congruence relation, '=', which relates equivalent classes of different mathematical representations of a vector in Hilbert
space, in terms of metaphysical identity. We will argue that this seemingly "common sense" interpretation, at the semantic level, has severe difficulties when considering the syntactic level of the theory.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
da Costa, Newton C. A.
de Ronde, Christiancderonde@gmail.com
Keywords: metaphysical identity, congruence relation, interpretation of quantum mechanics.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Christian de Ronde
Date Deposited: 18 Sep 2016 13:29
Last Modified: 18 Sep 2016 13:29
Item ID: 12445
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 17 September 2016
URI: http://philsci-archive.pitt.edu/id/eprint/12445

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