Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations

@article{Isham1998ToposPO,
  title={Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations},
  author={C. Isham and J. Butterfield},
  journal={International Journal of Theoretical Physics},
  year={1998},
  volume={37},
  pages={2669-2733}
}
AbstractAny attempt to construct a realistinterpretation of quantum theory founders on theKochen–Specker theorem, which asserts theimpossibility of assigning values to quantum quantitiesin a way that preserves functional relations between them. We constructa new type of valuation which is defined on alloperators, and which respects an appropriate version ofthe functional composition principle. The truth-values assigned to propositions are (i) contextual and(ii) multivalued, where the space of… Expand
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  • 2017
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