Linked bibliography for the SEP article "Quantum Logic and Probability Theory" by Alexander Wilce |
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.
- Abramsky, S., and Coecke, B., 2009, “Categorical quantum mechanics”, in K. Engesser, D. Gabbay and D. Lehmann, eds., Handbook of Quantum Logic and Quantum Structures, Amsterdam: North-Holland (Scholar)
- Aerts, D., 1982, The One and the Many, Doctoral Dissertation, Free University of Brussels. (Scholar)
- Amemiya, H., and Aaraki, H., 1965, “A Remark on Piron's Paper”, Publ. Res. Inst. Math. Sci. (Series A), 2: 423–427. (Scholar)
- Baez, J., 2006, “Quantum quandaries: a category-theoretic perspective”, in Steven French, Dean Rickles and Juha Saatsi (eds.), Structural Foundations of Quantum Gravity, Oxford: Oxford University Press. (Scholar)
- Bacciagaluppi, G., 2009, “Is logic empirical?” in D. Gabbay, D. Lehmann and K. Engesser (eds), Handbook of Quantum Logic and Quantum Structur, Amsterdam: North-Holland (Scholar)
- Baltag, A., and S. Smets, 2005, “Complete axiomatizations for quantum actions”, International Journal of Theoretical Physics, 44: 2267–2282. (Scholar)
- Beltrametti, E., and Cassinelli, G., 1981, The Logic of Quantum Mechanics, van Nostrand. (Scholar)
- Birkhoff, G., 1967, Lattice Theory, Providence: American Mathematical Society. (Scholar)
- Birkhoff, G., and von Neumann, J., 1936, “The Logic of Quantum Mechanics”, Annals of Mathematics, 37: 823–843. (Scholar)
- Chiribella, G., and G. M. D'Ariano and P. Perinotti, 2011, “Informational derivation of quantum theory”, Phys. Rev. A, 84: PAGES. (Scholar)
- Clifton, R., and Kent, A., 2000, “Simulating Quantum Mechanics by Non-Contextual Hidden Variables”, Proc. Royal Soc. London, A 456: 2101–2114. (Scholar)
- Coecke, B., A universe of processes and some of its guises, in H. Halvorson (ed.), Deep Beauty: understanding the quantum world through mathematical innovation, Oxford: Oxford University Pres, 2011.
- Cohen, D., and Svetlichny, G., 1987, Minimal Supports in quantum logics, International Journal of Theoretical Physics, 27: 435–450. (Scholar)
- Cooke, R., and Hilgevoord, J., 1981, “A New Approach to Equivalence in Quantum Logic”, in E. Beltrammetti and B. van Fraassen (eds.) Current Issues in Quantum Logic, New York: Plenum. (Scholar)
- Davey, B., and Priestley, H., 1990, Introduction to Lattices and Order, Cambridge: Cambridge University Press. (Scholar)
- Fine, A. 1973, “Probability and the Interpretation of Quantum Mechanics”, British Journal for the Philosophy of Science, 24: 1–37. (Scholar)
- Foulis, D. J., Greechie, R., and Rüttimann, G. T., 1992, “Filters and Supports in Orthoalgebras”, Int. J. Theor. Phys., 31: 789–807. (Scholar)
- Foulis, D. J., and Randall, C.H., 1980, “What are quantum logics and what ought they to be?”, in E. Beltrametti and B. C. van Fraassen, eds., Current Issues in Quantum Logic, New York: Plenum. (Scholar)
- Foulis, D.J., Piron, C., and Randall, C. H., 1983, “Realism, Operationalism and Quantum Mechanics”, Foundations of Physics, 13: 813–841. (Scholar)
- Foulis, D. J., and Randall, C. H., 1981, “Empirical Logic and Tensor Products”, in H. Neumann (ed), Interpretations and Foundations of Quantum Mechanics, Mannheim: Wissenchaftsverlag. (Scholar)
- Foulis, D. J., and Randall, C. H., 1984, “Stochastic Entities” in P. Mittelstaedt and E. Stachow (eds.), Recent Developments in Quantum Logic, Mannheim: B. I. Wissenschaft. (Scholar)
- Gleason, A., 1957, “Measures on the Closed Subspaces of a Hilbert Space”, Journal of Mathematics and Mechanics, 6: 885–893. (Scholar)
- Grätzer, G., 1998, General Lattice Theory, Basel: Birkhäuser Verlag (2nd edition). (Scholar)
- Gudder, S., 1970, “On Hidden-Variable Theories”, J. Math. Phys., 11: 431–436. (Scholar)
- Gudder, S., 1989, Quantum Probability Theory, San Diego: Academic Press. (Scholar)
- Guz, S., 1980, “Filter Theory and Covering Law”, Ann. Inst. H. Poincare. (Scholar)
- Harding, J., 2009, “A link between quantum logic and categorical quantum mechanics”, Int. J. Theor. Phys., 48: 769–802.
- Holevo, A. S., 1982, Probabilistic and Statistical Aspects of Quantum Theory, Amsterdam: North Holland. (Scholar)
- Holland, S. S. Jr., 1995, “Quantum mechanics in Hilbert space: A result of M. P. Soler”, Bulletin of the American Mathematical Society, 32: 205–232. (Scholar)
- Ischi, B., 2000, “Endomorphisms of the Separated Product of Lattices”, Int. J. Theor. Phys., 39: 2559–2581. (Scholar)
- Jauch, J.M., and Piron, C., 1969, “On the Structure of Quantal Propositional Systems”, Helvetica Physica Acta, 42: 842–848. (Scholar)
- Kalmbach, G., 1983, Orthomodular Lattices, London: Academic Press. (Scholar)
- Klay, M., 1988, “Einstein-Podolsky-Rosen Experiments: The Structure of the Sample Space I, II”, Foundations of Physics Letters, 1: 205–244. (Scholar)
- Kochen, S., and Specker, E. P., 1965, “Logical structures arising in quantum theory”, Symposium on the Theory of Models, Amsterdam: North-Holland. (Scholar)
- Kochen, S. and Specker, E. P., 1967, “The Problem of Hidden Variables in Quantum Mechanics” Journal of Mathematics and Mechanics, 17: 59–87. (Scholar)
- Ludwig, G., 1983, Mathematical Foundations of Quantum Mechanics I, New York: Springer-Verlag. (Scholar)
- Mackey, G., 1957, “Quantum Mechanics and Hilbert Space”, American Math. Monthly, 64: 45–57. (Scholar)
- Mackey, G. 1963, Foundations of Quantum Mechanics, Reading: W. A. Benjamin. (Scholar)
- Maudlin, T., 2005, “The Tale of Quantum Logic”, in Y. Ben-Menahem (ed.), Hilary Putnam, Cambridge: Cambridge University Press. (Scholar)
- Meyer, D. A., 1999, “Finite Precision Measurement Nullifies the Kochen-Specker Theorem”, Physical Review Letters, 83: 3751–54. (Scholar)
- Piron, C., 1964, “Axiomatique Quantique”, Helvetica Physica Acta, 37: 439–468. (Scholar)
- Piron, C., 1976, Foundations of Quantum Physics, Reading: W. A. Benjamin. (Scholar)
- Pitowsky, I., 1989, Quantum Probability—Quantum Logic (Lecture Notes in Physics, Volume 321), Berlin: Springer-Verlag. (Scholar)
- Putnam, H., 1968, “Is logic empirical?” in R. Cohen and M. P. Wartofski (eds.), Boston Studies in the Philosophy of Science (Volume 5), Dordrecht: D. Reidel; reprinted as “The logic of quantum mechanics” in H. Putnam, Mathematics, Matter and Method, Cambridge University Press, 1976. (Scholar)
- Rau, J., 2011, “Measurement-based quantum foundations”, Foundations of Physics, 41: 380. (Scholar)
- Randall, C. H., and Foulis, D. J., 1983, “Properties and operational propositions in quantum mechanics”, Foundations of Physics, 13: 843–863. (Scholar)
- Selinger, P., 2007, “Dagger compact closed categories and completely positive maps” (Extended Abstract), Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), Chicago. Electronic Notes in Theoretical Computer Science, 170: 139–163. (Scholar)
- van Fraassen, B., 1992, Quantum Mechanics: An Empricist View, Oxford University Press. (Scholar)
- von Neumann, J., 1932, Mathematische Grundlagen der Quantenmechanik, Berlin: Springer-Verlag; English translation: Mathematical Foundations of Quantum Mechanics, Princeton: Princeton University Press, 1955. (Scholar)
- Wilce, A., 1992, “Tensor Products in Generalized Measure Theory”, Int. J. Theor. Phys., 31: 1915–1928. (Scholar)
- Wilce, A., 2000, “Generalized Sasaki Projections”, Int. J. Theor. Physics, 39: 969–974. (Scholar)
- Wilce, A., 2000b, “Test Spaces and Orthoalgebras”, in B. Coecke, D. Moore, and A. Wilce (eds.), Current Research in Operational Quantum Logic, Dordrecht: Kluwer Academic Publishers. (Scholar)
- Wilce, A., 2009, “Test spaces”, Kurt Engesser, Dov. Gabbay and Daniel Lehmann (eds.), Handbook of Quantum Logic and Quantum Structures, North Holland. (Scholar)
- Wright, R., 1980, “The State of the Pentagon”, in A. R. Marlowe (ed.), Mathematical Foundations of Quantum Physics, New York: Academic Press. (Scholar)
- Varadarajan, V. S., 1985, The Geometry of Quantum Mechanics, New York: Springer-Verlag. (Scholar)
- Younce, M., 1987, Random Variables on Non-Boolean Structures, Doctoral Dissertation, Department of Mathematics, University of Massachusetts, DAI 48, #2. (Scholar)
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