?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=What+the+liar+paradox+can+reveal+about+the+structure+of+our+minds&rft.creator=Bieberich%2C+Erhard&rft.subject=Philosophy+of+Mind&rft.description=In+human+consciousness+perceptions+are+distinct+or+atomistic+events+despite+being+perceived+by+an+apparently+undivided+inner+observer.+This+paper+applies+both+classical+(Boolean)+and+quantum+logic+to+analysis+of+the+Liar+paradox+which+is+taken+as+a+typical+example+of+a+self-referential+negation+in+the+perception+space+of+an+undivided+observer.+The+conception+of+self-referential+paradoxes+is+a+unique+ability+of+the+human+mind+still+lacking+an+explanation+on+the+basis+of+logic.+It+will+be+shown+that+both+classical+and+quantum+logics+fail+to+resolve+the+paradox+because+of+the+particle-like+(atomistic)+nature+of+physical+events+in+the+moments+of+perception.+The+atomistic+reality+is+the+only+one+observed+in+human+consciousness+even+if%2C+as+has+been+claimed+by+a+number+of+authors%2C+consciousness+arises+from+a+quantum+mechanical+superposition.+However%2C+a+computational+solution+of+the+paradox+can+be+achieved+by+embedding+quantum+registers+in+a+fractal+space.+The+truth+values%2C+or+q-bit%0Aeigenstates%2C+of+the+separate+parts+of+the+paradox+correspond+to+sub-spaces+of+the+fractal.+Since+a+fractal+contains+the+whole+in+each+part+a+self-referential+negation+emerges+as+the+experienced+concept+in+each+sub-space.+Fractal+quantum+computation+is+realized+by+a+cNOT-operation+with+percolation+of+the+control+q-bits+into+sub-spaces+of+a+nascent+fractal.+In+other+words%2C+atomism+cannot+cope+with+a+self-referential+paradox+but+quantum+logic+gates+embedded+in+a+fractal+structure+can+cope.+Remarkably%2C+it+will+be+shown+that+a+mind+operating+on+these+algorithmic+principles+will+not+inevitably+be+limited+by+Turing's+halting+theorem.+I+suggest+a+physical+mechanism+that+can+deal+with+our+experience+of+self-referential+paradox.+Because+it+is+also+shown+that+this+cannot+be+achieved+by+any+previously+suggested+classical+or+quantum+mechanical+operation%2C+the+newly+proposed+mechanism+provides+a+better+model+than+others+for+an+important+aspect+of+the+structure+of+our+minds.%0A&rft.date=1999&rft.type=Preprint&rft.type=NonPeerReviewed&rft.format=other&rft.identifier=http%3A%2F%2Fcogprints.org%2F1210%2F1%2Fliarfigures4.gif&rft.format=text%2Fhtml&rft.identifier=http%3A%2F%2Fcogprints.org%2F1210%2F2%2Fliarfin3.html&rft.identifier=++Bieberich%2C+Erhard++(1999)+What+the+liar+paradox+can+reveal+about+the+structure+of+our+minds.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F1210%2F