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Licensed Unlicensed Requires Authentication Published by De Gruyter Mouton April 28, 2006

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

  • Michael Griffin

    Michael Griffin is a Learning Center Tutor in Mathematics and English at Phoenix Community College 〈mdg46@juno.com〉. His research interests are in mathematics and the mind. His major publications include ‘Mythic spacetime’ (2000); ‘An expanded, narrative algebra for mythic spacetime’ (2001); and ‘More features of the mythic spacetime algebra’ (2003).

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From the journal Semiotica

Abstract

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.

About the author

Michael Griffin

Michael Griffin is a Learning Center Tutor in Mathematics and English at Phoenix Community College 〈mdg46@juno.com〉. His research interests are in mathematics and the mind. His major publications include ‘Mythic spacetime’ (2000); ‘An expanded, narrative algebra for mythic spacetime’ (2001); and ‘More features of the mythic spacetime algebra’ (2003).

Published Online: 2006-04-28
Published in Print: 2006-02-20

© Walter de Gruyter

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