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Quantum probability, intuition, and human rationality
1Department of Psychological Sciences, Birkbeck College, University of London, London WC1E 7HX, United Kingdom. mike.oaksford@bbk.ac.uk
Abstract:
This comment suggests that Pothos & Busmeyer (P&B) do not provide an intuitive rational foundation for quantum probability (QP) theory to parallel standard logic and classical probability (CP) theory. In particular, the intuitive foundation for standard logic, which underpins CP, is the elimination of contradictions - that is, believing p and not-p is bad. Quantum logic, which underpins QP, explicitly denies non-contradiction, which seems deeply counterintuitive for the macroscopic world about which people must reason. I propose a possible resolution in situation theory.
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