title: A theory of concepts and their combinations II: A Hilbert space representation
creator: Aerts, Diederik
creator: Gabora, Liane
subject: Cognitive Psychology
subject: Philosophy of Mind
subject: Artificial Intelligence
description: 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.  
publisher: Emerald
contributor: Riegler, Alexander
date: 2005
type: Journal (Paginated)
type: PeerReviewed
format: application/pdf
identifier: http://cogprints.org/4771/1/hvf2.pdf
identifier:   Aerts, Diederik and Gabora, Liane  (2005) A theory of concepts and their combinations II: A Hilbert space representation.  [Journal (Paginated)]     
relation: http://cogprints.org/4771/