Elementary particles, hidden variables, and hidden predicates

Synthese 125 (1-2):233 - 245 (2000)
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Abstract

We recently showed that it is possible to deal withcollections of indistinguishable elementary particles (in thecontext of quantum mechanics) in a set-theoretical framework, byusing hidden variables. We propose in the presentpaper another axiomatics for collections of indiscernibleswithout hidden variables, where hidden predicates are implicitlyassumed. We also discuss the possibility of a quasi-settheoretical picture for quantum theory. Quasi-set theory, basedon Zermelo-Fraenkel set theory, was developed for dealing withcollections of indistinguishable, but, not identical objects.

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References found in this work

Quantum Mechanics: An Empiricist View.Paul Teller & Bas C. van Fraassen - 1995 - Philosophical Review 104 (3):457.
On a quasi-set theory.Décio Krause - 1992 - Notre Dame Journal of Formal Logic 33 (3):402--11.
Axioms for collections of indistinguishable objects.Décio Krause - 1996 - Logique Et Analyse 153 (154):69-93.

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