References

  1. J. Barrett (2007): Information processing in generalized probabilistic theories. Physical Review A 75, pp. 032304, doi:10.1103/PhysRevA.75.032304.
  2. J. S. Bell (1964): On the Einstein Podolsky Rosen paradox. Physics 1(3), pp. 195–200.
  3. G. Birkhoff & J. von Neumann (1936): The logic of quantum mechanics. Annals of Mathematics 37(4), pp. 823–843, doi:10.2307/1968621.
  4. N. Bohr (1948): On the notions of causality and complementarity. Dialectica 2(3-4), pp. 312–319, doi:10.1111/j.1746-8361.1948.tb00703.x.
  5. G. Bruns & H. Lakser (1970): Injective hulls of semilattices. Canadian Mathematical Bulletin 13, pp. 115–118, doi:10.4153/CMB-1970-023-6.
  6. M. Caspers, C. Heunen, N. P. Landsman & B. Spitters (2009): Intuitionistic quantum logic of an n-level system. Foundations of Physics 39, pp. 731–759, doi:10.1007/s10701-009-9308-7.
  7. J. F. Clauser, M. A. Horne, A. Shimony & R. A. Holt (1969): Proposed experiment to test local hidden-variable theories. Physical Review Letters 23(15), pp. 880–884, doi:10.1103/PhysRevLett.23.880.
  8. B. Coecke (2002): Quantum logic in intuitionistic perspective. Studia Logica 70(3), pp. 411–440, doi:10.1023/A:1015106515413.
  9. Á. Császár (1955): Sur la structure des escapes de probabilité conditionnelle. Acta Mathematica Academiae Scientiarum Hungarica 6(3-4), pp. 337–360, doi:10.1007/BF02024394.
  10. M. Dummett (1976): Is logic empirical?. In: H. D. Lewis: Contemporary British Philosophy Volume IV. George Allen and Unwin, pp. 45–68.
  11. C. A. Fuchs (2010): QBism, the perimeter of Quantum Bayesianism. Available at http://arxiv.org/abs/1003.5209.
  12. A. Gleason (1957): Measures on the closed subspaces of a Hilbert space. Indiana University Mathematics Journal 6, pp. 885–893, doi:10.1512/iumj.1957.6.56050.
  13. A. Hájek (2003): What conditional probability could not be. Synthese 137(3), pp. 273–323, doi:10.1023/B:SYNT.0000004904.91112.16.
  14. R. Hermens (2012): Speakable in quantum mechanics. Synthese, doi:10.1007/s11229-012-0158-z.
  15. J. P. Jarrett (1984): On the physical significance of the locality conditions in the Bell arguments. Noûs 18(4), pp. 569–589, doi:10.2307/2214878.
  16. S. Kochen & E. P. Specker (1967): The problem of hidden variables in quantum mechanics. Journal of Mathematics and Mechanics 17, pp. 59–67.
  17. T. Maudlin (2005): The tale of quantum logic. In: Y. Ben-Menahem: Hilary Putnam (Contemporary Philosophy in Focus). Cambridge University Press, pp. 156–187, doi:10.1017/CBO9780511614187.006.
  18. J. von Neumann (1955): Mathematical Foundations of Quantum Mechanics. Princeton University Press. Translated from the German by R. T. Beyer. Original title: Mathematische Grundlagen der Quantenmechanik, Berlin 1932.
  19. A. Peres (1978): Unperformed experiments have no results. American Journal of Physics 46(7), pp. 745–747, doi:10.1119/1.11393.
  20. K. Popper (1959): The Logic of Scientific Discovery. Hutchinson, London.
  21. H. Putnam (1969): Is logic empirical?. Boston Studies in the Philosophy of Science V, doi:10.1007/978-94-010-3381-7_5.
  22. M. Redhead (1987): Incompleteness, Nonlocality, and Realism. Clarendon Press, Oxford.
  23. A. Rényi (1955): On a new axiomatic theory of probability. Acta Mathematica Academiae Scientiarum Hungarica 6(3-4), pp. 285–335, doi:10.1007/BF02024393.
  24. A. Shimony (1984): Controllable and uncontrollable non-locality. In: S. Kamafuchi et. al.: Foundations of Quantum Mechanics in the Light of New Technology. Physical Society of Japan, Tokyo, pp. 225–230, doi:10.1017/CBO9781139172196.010.
  25. W. Spohn (1986): The representation of Popper measures. Topoi 5, pp. 69–74, doi:10.1007/BF00137831.
  26. A. Stairs (1983): Quantum logic, realism, and value definiteness. Philosophy of Science 50, pp. 578–602, doi:10.1086/289140.
  27. A. Wilce (2012): Quantum logic and probability theory. In: E. N. Zalta: The Stanford Encyclopedia of Philosophy, fall 2012 edition.

Comments and questions to: eptcs@eptcs.org
For website issues: webmaster@eptcs.org