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Quantum structure of negation and conjunction in human thought
Diederik Aerts1, Sandro Sozzo2, Tomas Veloz3
1Center Leo Apostel for Interdisciplinary Studies (CLEA), Free University of Brussels (VUB) Brussels, Belgium.
This study explores how humans combine concepts, finding deviations from classical logic. A quantum framework accurately models conceptual negation and reasoning as a superposition of emergent and logical processes.
Area of Science:
- Cognitive Science
- Quantum Cognition
- Psychology
Background:
- Understanding conceptual combinations is key to cognitive science.
- Existing models struggle to explain deviations in human concept conjunction and negation.
Purpose of the Study:
- To investigate the interplay between conceptual conjunction and negation.
- To test a novel quantum-theoretic framework for concept combination.
Main Methods:
- Membership weights of exemplars were measured for concepts, their conjunctions, and negated conjunctions.
- Data was analyzed for deviations from classical (fuzzy set) logic and probability theory.
- A quantum-theoretic framework (two-sector Fock space model) was applied.
Main Results:
- Systematic deviations from classical logic were observed in conceptual combinations.
- The quantum-theoretic framework accurately predicted conceptual negation.
- A novel deviation from classicality was identified, explained by a superposition of emergent and logical reasoning.
Conclusions:
- Human concept combination deviates from classical logic and probability.
- A quantum-theoretic framework provides a robust model for conceptual negation and combination.
- Human reasoning may involve a superposition of emergent and logical processes.
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