On the structure of quantal proposition systems

@article{Bub1994OnTS,
  title={On the structure of quantal proposition systems},
  author={Jeffrey Bub},
  journal={Foundations of Physics},
  year={1994},
  volume={24},
  pages={1261-1279}
}
  • J. Bub
  • Published 1 September 1994
  • Mathematics
  • Foundations of Physics
I define sublaltices of quantum propositions that can be taken as having determinate (but perhaps unknown) truth values for a given quantum state, in the sense that sufficiently many two-valued maps satisfying a Boolean homomorphism condition exist on each determinate sublattice to generate a Kolmogorov probability space for the probabilities defined by the slate. I show that these sublattices are maximal, subject to certain constraints, from which it follows easily that they are unique. I… 
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