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Number as Philosophic and Esthetic Category

Written by Yu. M. Romanenko

The number takes special places in the range of traditional categories of esthetics. It does not only enter into relations with leading categories of esthetic thinking but even replaces some of them. The esthetic as part of worldview and mathematical as approach stayed in mutually reinforcing equilibrium since Antique times and until the early Enlightenment. Great contribution to the study of number was made by Greek mathematician and philosopher Pythagoras. The application of mathematic methods in esthetics is the most fruitful as applied to the form. In the last decades the proportion principle gained brilliant traction in fractal geometry.

Keywords: esthetics of number; mathematic esthetics; musical harmony; Pythagoras; lambda; fractal geometry.

References

  1. Romanenko Yu. M. Estetika i matematika (Esthetics and Mathematics), M., Izd-vo MGOU, 2005, 108 p. 
  2. Nasretdinov A. A. Muzykal’naya matematika drevnikh. Poisk garmonii (Musical Mathematics of the Ancients. The Quest of Harmony), M., Boslen, 2012, 256 p., il.
  3. 3. Losev A. F. Chislovaya i strukturnaya terminologiya v grecheskoi estetike perioda rannei klassiki (Numeric and Structural Terminology in Greek Esthetics of Early Classic Age), Voprosy antichnoi literatury i klassicheskoi fi lologii, Sb. statei, M., Nauka, 1966, pp. 29—44. 
  4. Romanenko Yu. M. Estetika bytiya i antichnaya matematicheskaya traditsiya (Esthetics of Being and Antique Mathematical Tradition), Ekonomicheskie i sotsial’no-gumanitarnye issledovaniya, 2014, No. 2, pp. 69—76.
  5. Losev A. F. Muzyka kak predmet logiki (Music as a Subject of Logic), Samoe samo, A. F. Losev, M., Eksmo-Press, 1999, pp. 635—823. 
  6. Sukhovo-Kobylin A. V. Uchenie Vsemira (The Vsemir Teaching), TsGALI, F. 438, Ed. khr. 158. 
  7. Skinner  S. Svyashchennaya geometriya. Rasshifrovyvaya kod (Sacred Geometry: Deciphering the Code), M., Kladez’-Buks, 2007, 159 p., il. 
  8. Mandelbrot  B.  B. The Fractal Geometry of Nature, N.Y., W. H. Freeman and Company, 1982, 468 p. 
  9. Voloshinov A. V. Matematika i iskusstvo (Mathematics and Arts), 2-e izd., dorab. i dop., M., Prosveshchenie, 2000, 399 p., il.
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