http://cogprints.org/4770/
A theory of concepts and their combinations I: The structure of the sets of contexts and properties
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.
Aerts, Diederik
Gabora, Liane
Cognitive Psychology
Philosophy of Mind
Artificial Intelligence
Diederik
Aerts
Liane
Gabora