Skip to main content
Log in

Arithmetic tools for quantum logic

  • Part I. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)
  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

This paper develops a general language of event configurations to discuss and compare various modes of proposition formation. It is shown that any finite orthogonality space can be numerically encoded. This encoding is applied to show that the quasimanual of all orthogonal subsets of any finite point-determining orthogonality space may be decomposed into a union of manuals and that the logic of these quasimanuals may be regarded as a composite of interlocking associative orthoalgebras.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Dacey, “Orthomodular spaces,” Ph.D. Thesis, University of Massachusetts, Amherst, Massachusetts, 1968.

    Google Scholar 

  2. D. Foulis, “Coupled physical systems,” to appear inFoundations of Physics.

  3. D. Foulis, and C. Randall, “Empirical logic and tensor products,” inInterpretations and Foundations of Quantum Theory, H. Neuman, ed. (Bibliographisches Institute, Manheim, 1981).

    Google Scholar 

  4. D. Foulis, C. Randall, and C. Piron, “Realism, operationalism, and quantum mechanics,”Found. Phys. 13, 813–841 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dacey, J.C. Arithmetic tools for quantum logic. Found Phys 20, 605–619 (1990). https://doi.org/10.1007/BF01883241

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01883241

Keywords

Navigation