title: A theory of concepts and their combinations I: The structure of the sets of contexts and properties 
creator: Aerts, Diederik
creator: Gabora, Liane
subject: Cognitive Psychology
subject: Philosophy of Mind
subject: Artificial Intelligence
description: We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and show that the structure of the set of contexts and of the set of properties of a concept is a complete orthocomplemented lattice. The structural study in this article is a preparation for a numerical mathematical theory of concepts in the Hilbert space of quantum mechanics that allows the description of the combination of concepts.
publisher: Emerald
contributor: Riegler, Alexander
date: 2005
type: Journal (Paginated)
type: PeerReviewed
format: application/pdf
identifier: http://cogprints.org/4770/1/hvf1.pdf
identifier:   Aerts, Diederik and Gabora, Liane  (2005) A theory of concepts and their combinations I: The structure of the sets of contexts and properties.  [Journal (Paginated)]     
relation: http://cogprints.org/4770/