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Comments on quantum probability theory.

Steven Sloman1

  • 1Cognitive, Linguistic, & Psychological Sciences, Brown University.

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|February 1, 2014
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Summary
This summary is machine-generated.

Quantum probability theory (QP) excels at attribute comparison judgments but struggles with judgments about proportions over sets of instances. This research evaluates QP

Keywords:
CognitionNested setsProbability judgmentQuantum probability

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Area of Science:

  • Cognitive science
  • Quantum probability theory
  • Decision-making

Background:

  • Quantum probability theory (QP) effectively models attribute comparison judgments (inside judgments).
  • Human judgment extends beyond attribute comparison to include proportions over sets (outside judgments).
  • Existing theories inadequately address outside judgments.

Purpose of the Study:

  • To evaluate the descriptive and normative adequacy of quantum probability theory for outside judgments.
  • To identify limitations of current quantum probability models in representing human proportional reasoning.

Main Methods:

  • Conceptual analysis of quantum probability theory's application to judgment and decision-making.
  • Comparison of QP's predictions with empirical findings on human proportional reasoning.

Main Results:

  • Quantum probability theory demonstrates limitations in accurately describing or prescribing judgments involving proportions over sets.
  • The theory's formalisms do not fully capture the complexities of human outside judgment.

Conclusions:

  • Quantum probability theory requires significant refinement to encompass the full spectrum of human judgment, particularly outside judgments.
  • Further research is needed to develop more comprehensive models of probabilistic reasoning.