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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Sant'anna, A.S. Elementary Particles, Hidden Variables, And Hidden Predicates. Synthese 125, 233–245 (2000). https://doi.org/10.1023/A:1005272827990
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DOI: https://doi.org/10.1023/A:1005272827990