## Semiotics, Semiosis, Sign Relations • 6

Questions about the use of “semiotic triangles” and “semiotic triskelia” to represent triadic sign relations have come up again, as they often do in the wider world, prompting me to revisit an earlier comment on the subject and to tri, tri again to render the issues as clear as I can, otherwise we appear doomed never to get off triangle one.

Re: Semiotic Triangle • (1)(2) | John Corcoran • (1)(2)

Concepts for Peirce are mental symbols, so they fall under the general designation of signs.  For triadic sign relations in general, then, we are dealing with a triadic relation among (1) objects of signs, (2) signs of objects, and (3) what Peirce calls interpretant signs, or interpretants for short.  It is critical to regard the three designations of objects, signs, and interpretants as relational roles not ontological essences.  It is also critical to distinguish the following things:

• The extended sign relation $L$ as a subset of a cartesian product $O \times S \times I,$
• The elementary sign relation as an ordered triple $(o, s, i)$ in $O \times S \times I,$
• The places forming an ordered triple $(o, s, i),$
• The elements $o, s, i$ filling those places.

Triangles like the one linked above have long been used to introduce the idea of a triadic sign relation.  They have the unintended consequence, however, of leading people to miss all the points I mentioned above.  So it’s wise to move quickly on to better pictures and more detailed descriptions.

### Resources

cc: Cybernetics (1) (2)Ontolog • Peirce (1) (2)Structural ModelingSystems Science

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