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

Semiotica 2011 (184):93-98 (2011)
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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 [ ]/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

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10.1515/semi.2011.023

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