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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

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Published on: May 30, 2014

A quantum probability perspective on borderline vagueness.

Reinhard Blutner1, Emmanuel M Pothos, Peter Bruza

  • 1Language, and Computation, Institute for Logic, University of Amsterdam.

Topics in Cognitive Science
|September 17, 2013
PubMed
Summary
This summary is machine-generated.

This study explores vagueness in natural concepts, proposing a novel quantum probability model to explain borderline cases and contradictions, outperforming classical probabilistic approaches.

Keywords:
Borderline contradictionsContextualismFuzzy logicNeuronal networkQuantum interferenceQuantum probabilityVagueness

Related Experiment Videos

Last Updated: May 7, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Cognitive Science
  • Philosophy of Language
  • Theoretical Psychology

Background:

  • Natural concepts exhibit vagueness, characterized by fuzzy boundaries and susceptibility to paradoxes like the sorites paradox.
  • Existing research investigates the psychology of vagueness, focusing on judgments of borderline cases and contradictions.

Purpose of the Study:

  • To propose a probabilistic model for vagueness, extending existing theoretical analyses.
  • To address the limitations of classical probabilistic models in explaining empirical findings on vagueness.
  • To introduce a modified theoretical framework utilizing quantum probabilities to account for vagueness.

Main Methods:

  • Experimental investigation of human judgment on borderline cases and contradictions.
  • Development of a probabilistic model based on a Hopfield network for truth value prediction.
  • Modification of a theoretical analysis by replacing classical probabilities with quantum probabilities.

Main Results:

  • Classical probabilistic models, including Hopfield networks, inadequately explain empirical results on vagueness.
  • A novel model employing quantum probabilities offers a better explanation for the quantitative characteristics of experimental findings.
  • The proposed quantum probability framework successfully explains borderline contradictions as quantum interference phenomena.

Conclusions:

  • Classical probabilistic models are insufficient for fully capturing the psychological reality of vagueness.
  • Quantum probabilities provide a more accurate framework for modeling vagueness and its associated phenomena.
  • The study suggests a significant revision of existing theories on vagueness, incorporating principles from quantum mechanics.