"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.","http://cogprints.org/4770/","Aerts, Diederik and Gabora, Liane","Riegler, Alexander","       <span class=\"person_name\">Aerts, Diederik</span> and <span class=\"person_name\">Gabora, Liane</span>     (2005)  <a href=\"http://cogprints.org/4770/\"><em>A theory of concepts and their combinations I: The structure of the sets of contexts and properties.</em></a>       [Journal (Paginated)]           ","","2005"