Peirce's 10, 28, and 66 sign-types: The simplest mathematics Academic Article uri icon


  • 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. Walter de Gruyter.

published proceedings


author list (cited authors)

  • Burch, R. W.

citation count

  • 3

complete list of authors

  • Burch, Robert W

publication date

  • April 2011