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

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Quantum Interaction (QI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8369))

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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.

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Notes

  1. 1.

    The classical texts we used as examples come from the Perseus Digital Library at Tufts University (http://www.perseus.tufts.edu/).

  2. 2.

    The particular set of values we assigned to variables in the CF for this example was as follows: complete male/female: fertile/adult, incomplete male/female: infertile/adolescent; complete denial active voice: destroy/kill, complete affirmative active voice: procreate/bear, incomplete denial active voice: wound/hurt, incomplete affirmative active voice: heal; passive voice for the above: be destroyed/killed/begotten/born/wound/healed, plus the above being done either to the other or the self.

  3. 3.

    “It may be significant, however, that an accident in boar hunting [...] is liable to produce wounds somehow equalling castration; then the boar would be just an exchangeable sign for a deeper meaning” [10, p. 108]. Castration as punishment or a voluntary act is frequent in the cult of a group of minor deities from Asia Minor, to which Adonis also belongs. Strictly speaking it is the boar who mutilates Adonis, not he himself, but as far as we know, on a higher level of abstraction these narrative elements belong together.

References

  1. Campbell, J.: The Hero with a Thousand Faces, vol. 17. New World Library, Novato (2008)

    Google Scholar 

  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. Lévi-Strauss, C.: The structural study of myth. J. Am. Folklore 68, 428–444 (1955)

    Article  Google Scholar 

  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. Maranda, P.: The Double Twist: From Ethnography to Morphodynamics, vol. 20. University of Toronto Press, Toronto (2001)

    Google Scholar 

  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)

    Article  MathSciNet  Google Scholar 

  7. Lévi-Strauss, C.: Mythologiques I-IV. Plon, Paris (1964–1971).

    Google Scholar 

  8. Morava, J.: On the canonical formula of C. Lévi-Strauss. arXiv:math/0306174 (2003).

    Google Scholar 

  9. Frazer, J.G.: Apollodorus - The Library, vol. 1–2. Harvard University Press, London (1921).

    Google Scholar 

  10. Burkert, W.: Structure and History in Greek Mythology and Ritual, vol. 47. University of California Press, Berkeley (1979)

    Google Scholar 

  11. Evelyn-White, H.G.: Hesiod, the Homeric Hymns, and Homerica. William Heinemann, London (1914)

    Google Scholar 

  12. Mosko, M.S.: The canonic formula of myth and nonmyth. Am. Ethnologist 18, 126–151 (1991)

    Article  Google Scholar 

  13. Leach, E.R.: Claude Lévi-Strauss. Viking Press, New York (1970)

    Google Scholar 

  14. Maranda, E.K., Maranda, P.: Structural Models in Folklore and Transformational Essays, vol. 10. Mouton, The Hague (1971)

    Google Scholar 

  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. 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. 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. 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 

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Correspondence to Sándor Darányi .

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Darányi, S., Wittek, P., Kitto, K. (2014). The Sphynx’s New Riddle: How to Relate the Canonical Formula of Myth to Quantum Interaction. In: Atmanspacher, H., Haven, E., Kitto, K., Raine, D. (eds) Quantum Interaction. QI 2013. Lecture Notes in Computer Science(), vol 8369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54943-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-54943-4_5

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