Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought

Понятия и их динамика: квантово-теоретическое моделирование человеческого мышления
Diederik Aerts, Liane Gabora, Sandro Sozzo
2013-09-13

Fock spacecontextuality and interferenceentanglementhuman concept dynamicsquantum modeling of concepts
We analyze different aspects of our quantum modeling approach of human concepts and, more specifically, focus on the quantum effects of contextuality, interference, entanglement, and emergence, illustrating how each of them makes its appearance in specific situations of the dynamics of human concepts and their combinations. We point out the relation of our approach, which is based on an ontology of a concept as an entity in a state changing under influence of a context, with the main traditional concept theories, that is, prototype theory, exemplar theory, and theory theory. We ponder about the question why quantum theory performs so well in its modeling of human concepts, and we shed light on this question by analyzing the role of complex amplitudes, showing how they allow to describe interference in the statistics of measurement outcomes, while in the traditional theories statistics of outcomes originates in classical probability weights, without the possibility of interference. The relevance of complex numbers, the appearance of entanglement, and the role of Fock space in explaining contextual emergence, all as unique features of the quantum modeling, are explicitly revealed in this article by analyzing human concepts and their dynamics.
1
Complex amplitudes explain interference in measurement-outcome statistics, unlike classical probability weights, which cannot represent interference.
2
Entanglement and Fock space are presented as distinctive quantum-modeling tools for explaining concept combinations and contextual emergence.
3
Quantum effects—contextuality, interference, entanglement, and emergence—are identified in specific situations involving human concepts and their combinations.
4
The approach is related to prototype, exemplar, and theory theories while offering quantum-mechanical mechanisms absent from these traditional frameworks.
5
The paper models human concepts as entities whose states change under contextual influence, providing an ontology for concept dynamics.

human concepts and their combinations

the dynamics and quantum effects of human concepts, including contextuality, interference, entanglement, and contextual emergence

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2013-09-13
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Diederik Aerts
Liane Gabora
Sandro Sozzo
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