Quantum Physics and the Identity of Indiscernibles: A Logical Analysis
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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