Elementary particles, hidden variables, and hidden predicates
Synthese 125 (1-2):233 - 245 (2000)
| 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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Abner Shimony (1984). Contextual Hidden Variables Theories and Bell's Inequalities. British Journal for the Philosophy of Science 35 (1):25-45.
Peter J. Lewis (2006). Conspiracy Theories of Quantum Mechanics. British Journal for the Philosophy of Science 57 (2):359-381.
S. V. Bhave (1986). Separable Hidden Variables Theory to Explain Einstein-Podolsky-Rosen Paradox. British Journal for the Philosophy of Science 37 (4):467-475.
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Peter Gärdenfors (2004). Emulators as Sources of Hidden Cognitive Variables. Behavioral and Brain Sciences 27 (3):403-403.
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