?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Contextualizing+concepts+using+a+mathematical+generalization+of+the+quantum+formalism&rft.creator=Gabora%2C+Liane&rft.creator=Aerts%2C+Diederik&rft.subject=Cognitive+Psychology&rft.subject=Philosophy+of+Mind&rft.subject=Artificial+Intelligence&rft.description=We+outline+the+rationale+and+preliminary+results+of+using+the+State+Context%0AProperty+(SCOP)+formalism%2C+originally+developed+as%0Aa+generalization+of+quantum+mechanics%2C+to+describe+the+contextual+manner+in%0Awhich+concepts+are+evoked%2C+used%2C+and+combined+to%0Agenerate+meaning.+The+quantum+formalism+was+developed+to+cope+with+problems%0Aarising+in+the+description+of+(1)+the+measurement%0Aprocess%2C+and+(2)+the+generation+of+new+states+with+new+properties+when%0Aparticles+become+entangled.+Similar+problems+arising%0Awith+concepts+motivated+the+formal+treatment+introduced+here.+Concepts+are%0Aviewed+not+as+fixed+representations%2C+but+entities%0Aexisting+in+states+of+potentiality+that+require+interaction+with+a%0Acontext---a+stimulus+or+another+concept---to+%60collapse'+to%0Aobservable+form+as+an+exemplar%2C+prototype%2C+or+other+(possibly+imaginary)%0Ainstance.+The+stimulus+situation+plays+the+role+of%0Athe+measurement+in+physics%2C+acting+as+context+that+induces+a+change+of+the%0Acognitive+state+from%0Asuperposition+state+to+collapsed+state.+The+collapsed+state+is%0Amore+likely+to+consist+of+a+conjunction+of%0Aconcepts+for+associative+than+analytic+thought+because+more+stimulus+or%0Aconcept+properties+take+part+in+the%0Acollapse.+We+provide+two+contextual+measures+of+conceptual+distance---one%0Ausing+collapse+probabilities+and+the+other+weighted%0Aproperties---and+show+how+they+can+be+applied+to+conjunctions+using+the+pet%0Afish+problem.%0A&rft.publisher=Taylor+and+Francis&rft.contributor=Dietrich%2C+Eric&rft.date=2002-01&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F2725%2F1%2Fjetai.pdf&rft.identifier=++Gabora%2C+Liane+and+Aerts%2C+Diederik++(2002)+Contextualizing+concepts+using+a+mathematical+generalization+of+the+quantum+formalism.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F2725%2F