Mythic algebra uses: Metaphor, logic, and the semiotic sign

Michael Griffin 1 , 1
  • 1 Phoenix Community College.


Mythic algebra was developed in a trio of papers in the Journal of Literary Semantics. It models mythology and storytelling with algebraic sets. Expanded into a proto-mathematical system, it provides a hierarchical range of functions which can also apply to language and symbolic processes. Its relation to the three basic ‘laws of thought’ of classical logic is analyzed. Correspondences are also found with the Peircean division of a sign into icon, index, and symbol. Further applications are made to metaphor and irony.

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The official journal of the International Association for Semiotic Studies, founded in 1969 as one of the first scholarly journals in the field, Semiotica features articles reporting results of research in all branches of semiotic studies, in-depth reviews of selected current literature in the field, and occasional guest editorials and reports. The journal also publishes occasional Special Issues devoted to topics of particular interest.