Jon, List,
 
This has often been a topic of discussions, and I have come to understanding it like this:
-"S is its representation of O as I" (I just wanted to add this more accurate version as supplement to my post before).
Meaning: The sign is both the Y and one tip of it (sign and Sign, representamen and sign...), there is a re-entry of the sign into the sign. This is possible, because it is a function and not just a spatial composite or ingredient. Like the "BASIC" computer command  "A= A+B+C".
 
Best,
Helmut
 
21. August 2018 um 22:26 Uhr
"Jon Alan Schmidt" <jonalanschm...@gmail.com>
wrote:
Helmut, List:
 
No, the Sign itself is not a triadic relation; it is one Correlate (or Subject) of a triadic relation, along with the Object and the Interpretant.  I think it is very important to maintain this fundamental distinction.
 
As I said earlier today in another thread, a Y is adequate as a logical representation of any triadic relation, but it omits the distinctive "directionality" of semiosis--from the Object through the Sign to the Interpretant.
 
"S mediates between O and I" is indeed quite general, but it is Peirce's own formulation once that "directionality" is incorporated--"O determines S relatively to I, and S determines I in reference to O, such that O determines I through the mediation of S" (cf. EP 2:410; 1907).  Mats Bergman even characterized this as "one of Peirce's finest sign definitions."
 
"S represents O to I" is more specific, but still correct with I as the Interpretant, since that is the "essential ingredient" of the interpreter, just as the Object is the "essential ingredient" of the utterer (cf. EP 2:404; 1907).
 
However, "S represents O as I" seems incorrect to me; rather, "S represents DO as IO" is closer to my understanding.
 
Regards,
 
Jon Alan Schmidt - Olathe, Kansas, USA
Professional Engineer, Amateur Philosopher, Lutheran Layman
 
On Tue, Aug 21, 2018 at 2:26 PM, Helmut Raulien <h.raul...@gmx.de> wrote:
Jon, List,
 
To your point 2.: I think, a sign is a triadic relation, so a Y is ok, but it is a very special kind of triadic relation. I think:
 
-"S mediates between O and I" is too general, because it does not show that there is a difference between O and I.
 
-"S represents O to I" is wrong, I think, because in that case "I" would be the interpreter, not the interpretant. I propose:
 
-"S represents O as I".
 
Best, Helmut
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