TY  - GEN
ID  - cogprints3667
UR  - http://cogprints.org/3667/
A1  - Markovitch, J. S.
TI  - Coincidence, data compression, and Mach?s concept 
of ?economy of thought? 

Y1  - 2004/06//
N2  - A case is made that Mach?s principle of ?economy of thought?, and therefore usefulness, is related to the compressibility of data, but that a mathematical expression may compress data for reasons that are sometimes coincidental and sometimes not.  An expression, therefore, may be sometimes explainable and sometimes not.  A method is proposed for distinguishing coincidental data compression from non-coincidental, 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.
AV  - public
KW  - coincidence
data compression
ER  -

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