Quantum probability, intuition, and human rationality

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 elim...

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Bibliographic Details
Published in:The Behavioral and brain sciences 2013-06, Vol.36 (3), p.303-303
Main Author: Oaksford, Mike
Format: Article
Language:English
Subjects:
Cognition
Expected utility
Humans
Models, Psychological
Open Peer Commentary
Probability Theory
Quantum Theory
Rationality
Semantics
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Summary: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.
ISSN:0140-525X
1469-1825
DOI:10.1017/S0140525X12003081