Discerning Fermions

Abstract We demonstrate that the quantum-mechanical description of composite physical systems of an arbitrary number of similar fermions in all their admissible states, mixed or pure, for all finite-dimensional Hilbert-spaces, is not in conflict with Leibniz’s Principle of the Identity of Indiscernibles (PII). We discern the fermions by means of physically meaningful, permutation-invariant categorical relations, i.e
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    F. A. Muller & Simon Saunders (2008). Discerning Fermions. British Journal for the Philosophy of Science 59 (3):499-548.
    Steven French & Michael Redhead (1988). Quantum Physics and the Identity of Indiscernibles. British Journal for the Philosophy of Science 39 (2):233-246.
    Simon Saunders (2003). Physics and Leibniz's Principles. In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press.

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