TY - GEN
ID - cogprints4770
UR - http://cogprints.org/4770/
A1 - Aerts, Diederik
A1 - Gabora, Liane
Y1 - 2005///
N2 - 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.
PB - Emerald
KW - concept
KW - conjunction
KW - combination
KW - context
KW - entanglement
KW - exemplar
KW - mathematical model
KW - prototype
KW - potentiality
KW - quantum
KW - representation
KW - state
KW - structure
TI - A theory of concepts and their combinations I: The structure of the sets of contexts and properties
SP - 167
AV - public
EP - 191
ER -