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Publication Date:
March 2011
ISSN:
1613-3692
DOI:
10.1515/semi.2011.023

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Semiotica

Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique

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Peirce's 10, 28, and 66 sign-types: The simplest mathematics

1

1Professor at Texas A and M University.

Citation Information: Semiotica. Volume 2011, Issue 184, Pages 93–98, ISSN (Online) 1613-3692, ISSN (Print) 0037-1998, DOI: 10.1515/semi.2011.023, March 2011

Publication History:
Published Online:
2011-03-22

Abstract

From three simple Peircean semeiotic principles, the general formula is derived for the number of definable sign-types from the number of semeiotic trichotomies to be used in defining the sign-types. If k is the number of such trichotomies, then [(k + 1) (k + 2)]/2 is the number of sign-types definable by appealing to them. The significance of the derivation lies in its setting constraints on particular detailed theories of sign-types.

Keywords:: Peirce; Sign-Types; Semeiotic; Finite Differences; Triads; Triadic Divisions

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