Abstract / Synopsis
Kepler published Mysterium Cosmographicum in 1597 constructing his cosmo- logical model based on the five regular polyhedra. Such a creative but weird idea was almost consistent with empirical evidence. Furthermore, following the Pythagorean belief about the connection between music and astronomy, Kepler delved into looking for what things having to do with the planetary movements have the harmonic consonances. This article claims that Kepler’s model is a 3M (mathematical, musical, and metaphysical) model and demonstrates how it had been constructed. Furthermore, I explore the reasons behind Kepler’s departure from the 3M model and his subsequent consideration of a non-circular orbit, ultimately presenting the Three Laws of Planetary Motion as a consequential outcome.
Po-Hung Liu, "Logical or Epistemological? A Study on Kepler’s 3M Cosmological Model," Journal of Humanistic Mathematics, Volume 14 Issue 1 (January 2024), pages 196-207. DOI: 10.5642/jhummath.GNYU9082. Available at: https://scholarship.claremont.edu/jhm/vol14/iss1/10
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