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Why the Disjunction in Quantum Logic is Not Classical

Aerts, Diederik and D'Hondt, Ellie and Gabora, Liane (2000) Why the Disjunction in Quantum Logic is Not Classical. [Journal (Paginated)]

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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.

Item Type:Journal (Paginated)
Keywords:quantum, nondisjunction, correlation, potential, logic, concept, classical, state, conjunction, negation, category, pet fish problem
Subjects:Psychology > Cognitive Psychology
Philosophy > Logic
ID Code:3415
Deposited By:Gabora, Dr. Liane
Deposited On:03 Feb 2004
Last Modified:11 Mar 2011 08:55

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References in Article

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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.

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