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A theory of concepts and their combinations I: The structure of the sets of contexts and properties

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)]

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Abstract

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.

Item Type:Journal (Paginated)
Keywords:concept, conjunction, combination, context, entanglement, exemplar, mathematical model, prototype, potentiality, quantum, representation, state, structure
Subjects:Psychology > Cognitive Psychology
Philosophy > Philosophy of Mind
Computer Science > Artificial Intelligence
ID Code:4770
Deposited By:Gabora, Dr. Liane
Deposited On:16 Mar 2006
Last Modified:11 Mar 2011 08:56

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