?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=A+theory+of+concepts+and+their+combinations+I%3A+The+structure+of+the+sets+of+contexts+and+properties%0A&rft.creator=Aerts%2C+Diederik&rft.creator=Gabora%2C+Liane&rft.subject=Cognitive+Psychology&rft.subject=Philosophy+of+Mind&rft.subject=Artificial+Intelligence&rft.description=We+propose+a+theory+for+modeling+concepts+that+uses+the+state-context-property+theory+(SCOP)%2C+a+generalization+of+the+quantum+formalism%2C+whose+basic+notions+are+states%2C+contexts+and+properties.+This+theory+enables+us+to+incorporate+context+into+the+mathematical+structure+used+to+describe+a+concept%2C+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+%60state+of+a+concept'+to+account+for+this+contextual+influence%2C+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.&rft.publisher=Emerald&rft.contributor=Riegler%2C+Alexander&rft.date=2005&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F4770%2F1%2Fhvf1.pdf&rft.identifier=++Aerts%2C+Diederik+and+Gabora%2C+Liane++(2005)+A+theory+of+concepts+and+their+combinations+I%3A+The+structure+of+the+sets+of+contexts+and+properties.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F4770%2F