Skip to main content
Log in

Why the Disjunction in Quantum Logic is Not Classical

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

In this paper, the quantum logical “or” is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration that make it nonequivalent to the classical situation. Specifically, the presence of potentiality in these correlation states gives rise to the quantum deviation from the classical logical “or.” We show how this arises not only in the microworld, but also in macroscopic situations where EPR-like correlation states are present. We investigate how application of this analysis to concepts could alleviate some well known problems in cognitive science.

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.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932).

    Google Scholar 

  2. G. Birkhoff and J. von Neumann, “The logic of quantum mechanics,” Ann. Math. 43, 298–331 (1936).

    Google Scholar 

  3. E. G. Beltrametti and J. Cassinelli, The Logic of Quantum Mechanics (Addison–Wesley, Reading, 1981).

    Google Scholar 

  4. D. Aerts, S. Aerts, J. Broekaert, and L. Gabora, “The violation of Bell inequalities in the macroworld,” Found. Phys. 30, 1387–1414 (2000).

    Google Scholar 

  5. D. N. Osherson and E. E. Smith, “On the adequacy of prototype theory as a theory of concepts,” Cognition 9, 35–58 (1981).

    Google Scholar 

  6. E. Rosch, “Reclaiming concepts,” J. Consciousness Studies 6, 61–77 (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aerts, D., D'Hondt, E. & Gabora, L. Why the Disjunction in Quantum Logic is Not Classical. Foundations of Physics 30, 1473–1480 (2000). https://doi.org/10.1023/A:1026457918361

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026457918361

Keywords

Navigation