?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Coincidence%2C+data+compression%2C+and+Mach%E2%80%99s+concept+%0Aof+%E2%80%9Ceconomy+of+thought%E2%80%9D+%0A&rft.creator=Markovitch%2C+J.+S.&rft.subject=Complexity+Theory&rft.subject=Philosophy+of+Science&rft.description=A+case+is+made+that+Mach%E2%80%99s+principle+of+%E2%80%9Ceconomy+of+thought%E2%80%9D%2C+and+therefore+usefulness%2C+is+related+to+the+compressibility+of+data%2C+but+that+a+mathematical+expression+may+compress+data+for+reasons+that+are+sometimes+coincidental+and+sometimes+not.++An+expression%2C+therefore%2C+may+be+sometimes+explainable+and+sometimes+not.++A+method+is+proposed+for+distinguishing+coincidental+data+compression+from+non-coincidental%2C+where+this+method+may+serve+as+a+guide+in+uncovering+new+mathematical+relationships.++The+method+works+by+producing+a+probability+that+a+given+mathematical+expression+achieves+its+compression+purely+by+chance.&rft.date=2004-06&rft.type=Preprint&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F3667%2F1%2FAPRI-PH-2004-12b.pdf&rft.identifier=++Markovitch%2C+J.+S.++(2004)+Coincidence%2C+data+compression%2C+and+Mach%E2%80%99s+concept+of+%E2%80%9Ceconomy+of+thought%E2%80%9D.++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F3667%2F