creators_name: Aerts, Diederik
creators_name: D'Hondt, Ellie
creators_name: Gabora, Liane
editors_name: van der Merwe, Alwyn
type: journalp
datestamp: 2004-02-03
lastmod: 2011-03-11 08:55:28
metadata_visibility: show
title: Why the Disjunction in Quantum Logic is Not Classical
ispublished: pub
subjects: cog-psy
subjects: phil-logic
full_text_status: public
keywords: quantum, nondisjunction, correlation, potential, logic, concept, classical, state, conjunction, negation, category, pet fish problem
abstract: 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.

date: 2000-10
date_type: published
publication: Foundations of Physics
volume: 30
number: 9
publisher: Plenum/Kluwer
pagerange: 1473-1480
refereed: TRUE
referencetext: Aerts, D., Aerts, S., Broekaert, J. and Gabora, L., 2000, ``The violation of Bell inequalities in the macroworld", Foundations of Physics, vol. 30 (9): 1387-1414.

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

Birkhoff, G. and von Neumann, J., 1936, ``The logic of quantum mechanics", Annals of Mathematics}, 43, 298 - 331.

Osherson, D. N. and Smith, E. E., 1981, ``On the adequacy of prototype theory as a theory of concepts", Cognition, 9, 35 -58.

Rosch, E., 2000, ``Reclaiming concepts", Journal of Consciousness Studies, 6, 61 -77.

von Neumann, J., 1932, Mathematische Grundlagen der Quantenmechanik, Springer-Verlag, Berlin.
citation:   Aerts, Diederik and D'Hondt, Ellie and Gabora, Liane  (2000) Why the Disjunction in Quantum Logic is Not Classical.  [Journal (Paginated)]     
document_url: http://cogprints.org/3415/1/or.pdf
document_url: http://cogprints.org/3415/2/or.ps