Systems of Interpretation • 9

Elementary Sign Relation
\text{Figure 2. An Elementary Sign Relation}

Re: Peirce ListJerry Chandler

It is above all important to understand that Peirce’s concept of a sign relation is defined at a higher order of abstraction than any notion of causal or temporal order.

A sign relation L \subseteq O \times S \times I is a structure which can generate the temporal sequences of signs making up a semiotic process but there is no necessary temporal order associated with the relational domains O, S, I nor with the roles of objects, signs, and interpretant signs in any triple of the form (o, s, i).

As it happens, generative relationships between a generating structure and a generated class of structures are very common throughout mathematics and not unique to semiotics.

References

  • Awbrey, S.M., and Awbrey, J.L. (2001), “Conceptual Barriers to Creating Integrative Universities”, Organization : The Interdisciplinary Journal of Organization, Theory, and Society 8(2), Sage Publications, London, UK, 269–284.  AbstractOnline.
  • Awbrey, S.M., and Awbrey, J.L. (September 1999), “Organizations of Learning or Learning Organizations : The Challenge of Creating Integrative Universities for the Next Century”, Second International Conference of the Journal ‘Organization’, Re‑Organizing Knowledge, Trans‑Forming Institutions : Knowing, Knowledge, and the University in the 21st Century, University of Massachusetts, Amherst, MA.  Online.
  • Awbrey, J.L., and Awbrey, S.M. (1995), “Interpretation as Action : The Risk of Inquiry”, Inquiry : Critical Thinking Across the Disciplines 15(1), 40–52.  ArchiveJournal.  Online (doc) (pdf).

cc: Conceptual GraphsCyberneticsStructural ModelingSystems Science
cc: FB | SemeioticsMathstodonLaws of FormAcademia.edu

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4 Responses to Systems of Interpretation • 9

  1. Pingback: Survey of Semiotics, Semiosis, Sign Relations • 4 | Inquiry Into Inquiry

  2. Poor Richard says:

    If you added an ellipse to enclose o-i, how might you label that relation?

  3. Pingback: Survey of Semiotics, Semiosis, Sign Relations • 5 | Inquiry Into Inquiry

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