Philosophical Explorations (2005)
The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogonal projections. The way calculations are done in Hilbert space makes it possible to model how context influences the state of a concept. Moreover, a solution to the combination of concepts is proposed. Using the tensor product, a procedure for describing combined concepts is elaborated, providing a natural solution to the pet fish problem. This procedure allows the modeling of an arbitrary number of combined concepts. By way of example, a model for a simple sentence containing a subject, a predicate and an object, is presented.
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Citations of this work BETA
A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction.Zheng Wang & Jerome R. Busemeyer - 2013 - Topics in Cognitive Science 5 (4):689-710.
Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought.Diederik Aerts, Liane Gabora & Sandro Sozzo - 2013 - Topics in Cognitive Science 5 (4):737-772.
Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory. [REVIEW]Diederik Aerts - 2009 - Foundations of Science 14 (4):361-411.
Quantum Cognition: A New Theoretical Approach to Psychology.Peter D. Bruza, Zheng Wang & Jerome R. Busemeyer - 2015 - Trends in Cognitive Sciences 19 (7):383-393.
Comparing the Axiomatic and Ecological Approaches to Rationality: Fundamental Agreement Theorems in SCOP.Patricia Rich - forthcoming - Synthese:1-19.
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