The trichotomic machine

Robert Marty 1
  • 1 University of Perpignan, Perpignan, France
Robert Marty

Abstract

The formal analysis of the principles leading the classification of the hexadic, decadic, and triadic signs from C. S. Peirce especially, gives rise to a general methodology allowing to systematically classify any n-adic combinatory named “protosign.” Basic concepts of the algebraic theory regarding the categories and functors will be used. That formalization provides an additional benefit by highlighting and systematizing formal immanent relationships between the classes of protosigns (or signs). Well known hierarchical structures (lattices) are then obtained. Thanks to the contribution of specific concepts in the Homological Algebra, new methodologies of analysis and creation of significations can be introduced.

  • Marty, R. 1990. L’algèbre des signes: Essai de semiotique scientifique d’après C. S. Peirce. Amsterdam & Philadelphia: John Benjamins.

  • Marty, R. 2011. Seventy-six definitions of the sign by C. S. Peirce. http://www.iupui.edu/~arisbe/rsources/76DEFS/76defs.HTM (accessed 11 February 2019).

  • Peirce, Charles S. 1931–1966. The collected papers of Charles S. Peirce, vol. 8. C. Hartshorne, P. Weiss & A. W. Burks (eds.). Cambridge: Harvard University Press. [Reference to Peirce’s papers will be designated CP followed by volume and paragraph number.].

  • Peirce, Charles S. 1976. The new elements of mathematics, vol. 4. C. Eisele (ed.). Berlin & New York: Mouton de Gruyter. Atlantic Highlands, NJ: Humanities Press. [Reference to Peirce’s New Elements will be designated NEM followed by volume and page number].

  • Peirce, Charles S. & Lady Victoria Welby. 1977. Semiotic and significs. Charles S. Hardwick (ed.). Bloomington: Indianapolis University Press. [Reference to this work will be designated SS followed by page number].

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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.

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