Coincidence, data compression, and Mach's concept of “economy of thought”

Download Edit this record How to cite View on PhilPapers
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.
PhilPapers/Archive ID
Upload history
Archival date: 2016-04-19
View other versions
Added to PP index

Total views
142 ( #43,632 of 70,145 )

Recent downloads (6 months)
7 ( #63,478 of 70,145 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.