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Quantum probability, intuition, and human rationality.

Mike Oaksford1

  • 1Department of Psychological Sciences, Birkbeck College, University of London, London WC1E 7HX, United Kingdom. mike.oaksford@bbk.ac.uk

The Behavioral and Brain Sciences
|May 16, 2013
PubMed
Summary
This summary is machine-generated.

This comment argues that quantum probability (QP) lacks an intuitive foundation compared to classical probability (CP). It proposes situation theory as a resolution to the counterintuitive nature of quantum logic, which denies non-contradiction.

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Area of Science:

  • Foundations of Quantum Mechanics
  • Quantum Probability Theory
  • Mathematical Logic

Background:

  • Critique of Pothos & Busmeyer's (P&B) framework for quantum probability (QP).
  • Classical probability (CP) is underpinned by standard logic, emphasizing contradiction avoidance.
  • Quantum logic, foundational to QP, appears counterintuitive by denying non-contradiction.

Purpose of the Study:

  • To address the lack of an intuitive rational foundation for QP.
  • To reconcile the seemingly counterintuitive principles of quantum logic with macroscopic reasoning.
  • To propose a resolution using situation theory.

Main Methods:

  • Commentary and theoretical analysis of existing frameworks (P&B).
  • Comparison of standard logic underpinning CP with quantum logic underpinning QP.
  • Proposal of situation theory as a potential framework for resolution.

Main Results:

  • P&B's approach does not provide an intuitive foundation for QP.
  • The denial of non-contradiction in quantum logic presents a significant intuitive challenge.
  • Situation theory is suggested as a novel approach to resolve this foundational issue.

Conclusions:

  • There is a need for a more intuitive rational foundation for quantum probability.
  • Situation theory offers a promising avenue for resolving the counterintuitive aspects of quantum logic.
  • Further exploration of situation theory in the context of quantum probability is warranted.