Quantum Logic and Quantum Reconstruction

Preprint English OPEN
Stairs, Allen;
  • Related identifiers: doi: 10.1007/s10701-015-9879-4
  • Subject: Quantum Physics
    acm: Hardware_LOGICDESIGN | ComputerSystemsOrganization_MISCELLANEOUS | GeneralLiterature_MISCELLANEOUS

Quantum logic understood as a reconstruction program had real successes and genuine limitations. This paper offers a synopsis of both and suggests a way of seeing quantum logic in a larger, still thriving context.
  • References (29)
    29 references, page 1 of 3

    [1] Constantin Piron. Axiomatique quantique. Helvetica Physica Acta, 37:439- 468, 1964.

    [2] H. A. Keller. Ein nicht-klassischer Hilbertscher raum. Zeitschrift, 172:41-49, 1980.

    [3] M. P. Sole`r. Characterization of Hilbert spaces with orthomodular spaces. Communications in Algebra, 23:219-243, 1995.

    [4] Samuel. S. Holland, Jr. Orthomodularity in infinite dimensions; a theorem of M. Sole`r. Bulletin of the American Mathematical Society, 32(2), 1995.

    [5] Itamar Pitowsky. Quantum mechanics as a theory of probability. In William Demopoulos and Itamar Pitowsky, editors, Physical theory and its interpretation: Essay in honor of Jeffrey Bub. Springer, Western Ontario Series in Philosophy of Science, New York, 2006.

    [6] Erwin Schro¨dinger. Discussion of probability relations between separated systems. Proceedings of the Cambridge Philosophical Society, 31:555-563, 1935.

    [7] Allen Stairs. On the logic of pairs of quantum systems. Synthese, 56:47-60, 1983.

    [8] B.S. Tsirelson. Quantum generalizations of Bell's inequality. Letters in Mathematical Physics, 4:93-100, 1980.

    [9] Sandu Popescu and Daniel Rohrlich. Quantum nonlocality as an axiom. Foundations of Physics, 24:379, 1994.

    [10] Allen Stairs and Jeffrey Bub. Correlations, contextuality and quantum logic. Journal of Philosophical Logic, 42:483-499, 2013.

  • Metrics
Share - Bookmark