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

By J. S. Markovitch

Abstract

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

Topics: Complexity Theory, Philosophy of Science
Year: 2004
OAI identifier: oai:cogprints.org:3667

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Citations

  1. (2003). A Precise, Particle Mass Formula Using Beta-Coefficients From a HigherDimensional, Nonsupersymmetric GUT, available at www.slac.stanford.edu/spires/find/hep/www?r=apri-ph-2003-11 (Applied and Pure Research Institute,
  2. (1997). Continued Fractions,
  3. (1999). CRC Concise Encyclopedia of Mathematics
  4. (1914). Modular Equations and Approximations to π”,
  5. (2002). Numerator Denominator Approximation of e Compression
  6. Numerator Denominator Approximation of Golden Ratio Compression in
  7. (1921). Numerator Denominator Approximation of π Compression
  8. Science of Mechanics (Open Court,
  9. (2002). The
  10. (1996). The Book of Numbers (Springer-Verlag,

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