La première expression de la réalité serait de dire que la langue (c’est à dire le sujet parlant) n’aperçoit ni l’idée a, ni la forme A, mais seulement le rapport ; cette expression serait encore tout à fait grossière. Il n’aperçoit pas vraiment que le rapport entre les deux rapports et , ou et , etc. C’est là ce que nous appelons le QUATERNION FINAL. de Saussure (2002, p.39)
The canonical formula of mythical transformation is an expression proposed in 1955 by the anthropologist Lévi-Strauss in order to account for the abstract relations occuring between characters and their attributes in a myth understood as the collection of its variants. The vagueness of the initial proposal has been lifted by several mathematical interpretations in the aftermath.
In Lévi-Strauss (1955, p.442) the canonical formula is introduced as the “algebraic” expression:
.
Jack Morava (2003, 2004) proposed to interpret the canonical formula as the existence of an anti-isomorphism of the quaternion group.
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Jack Morava, From Lévi-Strauss to Chaos and Complexity , in Mosko, Damon (eds.), On the Order of Chaos , Berghahn Oxford 2005.
Jack Morava, On the Canonical Formula of C. Lévi-Strauss II , arXiv:2002.12813 (2020). (abstract)
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