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Quantum physics and the Identity of Indiscernibles: a logical analysis

Krause, Décio (2026) Quantum physics and the Identity of Indiscernibles: a logical analysis. [Preprint]

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Abstract

We consider the formulation of Leibniz’s Principle of the Identity of
Indiscernibles (PII) in a second-order language. We argue that it cannot
hold in quantum physics because the notion of identity it encompasses,
namely the standard identity of classical logic, does not hold in this realm.
We provide some insightful examples to support this view.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Krause, Déciodeciokrause@gmail.com0000-0003-0463-2796
Keywords: identity of indiscernibles, identity of quantum entities
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Prof. Décio Krause
Date Deposited: 12 Jun 2026 12:39
Last Modified: 12 Jun 2026 12:39
Item ID: 30085
Official URL: https://drive.google.com/file/d/1sARgu00qRMOK3IcpW...
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Date: 12 June 2026
URI: https://philsci-archive.pitt.edu/id/eprint/30085

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