The Sphynx’s New Riddle: How to Relate the Canonical Formula of Myth to Quantum Interaction

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8369)

Abstract

We introduce Claude Lévi Strauss’ canonical formula (CF), an attempt to rigorously formalise the general narrative structure of myth. This formula utilises the Klein group as its basis, but a recent work draws attention to its natural quaternion form, which opens up the possibility that it may require a quantum inspired interpretation. We present the CF in a form that can be understood by a non-anthropological audience, using the formalisation of a key myth (that of Adonis) to draw attention to its mathematical structure. The future potential formalisation of mythological structure within a quantum inspired framework is proposed and discussed, with a probabilistic interpretation further generalising the formula.

References

  1. 1.
    Campbell, J.: The Hero with a Thousand Faces, vol. 17. New World Library, Novato (2008)Google Scholar
  2. 2.
    Klein, S.: The analogical foundations of creativity in language, culture & the arts: The Upper Paleolithic to 2100CE. In: McKevitt, P., Mulvihill, C., O’Nuallain, S., O’Riordan, C. (eds.) Proceedings of CSNLP-8, 8th International Workshop on the Cognitive Science of Natural Language Processing. Galway, Ireland (1999)Google Scholar
  3. 3.
    Lévi-Strauss, C.: The structural study of myth. J. Am. Folklore 68, 428–444 (1955)CrossRefGoogle Scholar
  4. 4.
    Scubla, L.: Hesiod, the three functions, and the canonical formula of myth. In: Maranda, P. (ed.) The Double Twist: From Ethnography to Morphodynamics, pp. 123–155. University of Toronto Press, Toronto (2001)Google Scholar
  5. 5.
    Maranda, P.: The Double Twist: From Ethnography to Morphodynamics, vol. 20. University of Toronto Press, Toronto (2001)Google Scholar
  6. 6.
    Pekonen, O.: The double twist: from ethnography to morphodynamics, edited by Pierre Maranda. the artist and the mathematician: the story of Nicolas Bourbaki, the genius mathematician who never existed by Amir D. Aczel. Math. Intell. 31, 57–61 (2009)CrossRefMathSciNetGoogle Scholar
  7. 7.
    Lévi-Strauss, C.: Mythologiques I-IV. Plon, Paris (1964–1971).Google Scholar
  8. 8.
    Morava, J.: On the canonical formula of C. Lévi-Strauss. arXiv:math/0306174 (2003).Google Scholar
  9. 9.
    Frazer, J.G.: Apollodorus - The Library, vol. 1–2. Harvard University Press, London (1921).Google Scholar
  10. 10.
    Burkert, W.: Structure and History in Greek Mythology and Ritual, vol. 47. University of California Press, Berkeley (1979)Google Scholar
  11. 11.
    Evelyn-White, H.G.: Hesiod, the Homeric Hymns, and Homerica. William Heinemann, London (1914)Google Scholar
  12. 12.
    Mosko, M.S.: The canonic formula of myth and nonmyth. Am. Ethnologist 18, 126–151 (1991)CrossRefGoogle Scholar
  13. 13.
    Leach, E.R.: Claude Lévi-Strauss. Viking Press, New York (1970)Google Scholar
  14. 14.
    Maranda, E.K., Maranda, P.: Structural Models in Folklore and Transformational Essays, vol. 10. Mouton, The Hague (1971)Google Scholar
  15. 15.
    Mosko, M.S., Damon, F.H.: On the Order of Chaos: Social Anthropology and the Science of Chaos. Berghahn Books, New York (2005)Google Scholar
  16. 16.
    Coté, A.: The set of canonical transformations implied in the canonical formula for the analysis of myth. In: Maranda, P. (ed.) The Double Twist: From Ethnography to Morphodynamics, pp. 199–221. University of Toronto Press, Toronto (2001)Google Scholar
  17. 17.
    Darányi, S.: Factor analysis and the canonical formula: where do we go from here? In: Darányi, S. (ed.) HOMO-03, Information Society, Cultural Heritage and Folklore Text Analysis, pp. 55–63. Budapest University of Technology and Economics, Budapest (2003)Google Scholar
  18. 18.
    Morava, J.: From Lévi-Strauss to chaos and complexity. In: Mosko, M., Damon, F.H. (eds.) On the Order of Chaos: Social Anthropology and the Science of Chaos, pp. 47–64. Berghahn Books, New York (2005)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.University of BoråsBoråsSweden
  2. 2.Information Systems SchoolQueensland University of TechnologyBrisbaneAustralia

Personalised recommendations