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arXiv · 1206.1069

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

Diederik Aerts·Liane Gabora·Sandro Sozzo
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Abstract

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, i.e. 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 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 paper by analyzing human concepts and their dynamics.

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Diederik Aerts, Liane Gabora, Sandro Sozzo. 2012-06-05. Concepts and Their Dynamics: A Quantum-Theoretic Modeling of Human Thought. https://doi.org/10.1111/tops.12042

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