Peircers, Questions about the meaning of the “central hub” in the “three-spoked” picture of an elementary sign relation have often come up, just recently among Jerry Chandler's questions and a question Mary Libertin asked on my blog. Maybe the answer I gave there can help to clear that up:
http://inquiryintoinquiry.com/2016/03/31/systems-of-interpretation-%E2%80%A2-5/#comment-32800 The central “spot”, as Peirce called it [in his logical graphs], is located on a different logical plane, since it is really a place-holder for the whole sign relation or possibly for the individual triple. Normally I would have labeled it with a letter to indicate the whole sign relation, say L, or else the individual triple, say ℓ = (o, s, i). Regards, Jon On 3/31/2016 1:24 PM, Jon Awbrey wrote:
Post : Systems Of Interpretation • 5 http://inquiryintoinquiry.com/2016/03/31/systems-of-interpretation-%e2%80%a2-5/ Date : March 31, 2016 at 10:24 am Subthread: MB:http://permalink.gmane.org/gmane.science.philosophy.peirce/18534 EVD:http://permalink.gmane.org/gmane.science.philosophy.peirce/18540 JLRC:http://permalink.gmane.org/gmane.science.philosophy.peirce/18552 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18553 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18554 Mike, Val, Jerry, List, Here is the revised edition of my last comment on the order issue. (I am hoping I can get to the rest of Jerry's questions eventually.) Figure 2. An Elementary Sign Relation (and see attached) https://inquiryintoinquiry.files.wordpress.com/2016/03/awbrey-awbrey-1999-elementary-sign-relation.gif An elementary sign relation is an ordered triple (o, s, i). It is called ''elementary'' because it is one element of a sign relation L ⊆ O × S × I, where O is a set of objects, S is a set of signs, and I is a set of interpretant signs that are collectively called the ''domains'' of the relation. But what is the significance of that ordering? In any presentation of subject matter we have to distinguish the natural order of things from the order of consideration or presentation in which things are taken up on a given occasion. The natural order of things comes to light through the discovery of invariants over a variety of presentations and representations. That type of order tends to take a considerable effort to reveal. The order of consideration or presentation is often more arbitrary, making some aspects of the subject matter more salient than others depending on the paradigm or perspective one has chosen. In the case of sign relations, the order in which we take up the domains O, S, I or the components of a triple (o, s, i) is wholly arbitrary so long as we maintain the same order throughout the course of discussion. Regards, Jon
-- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/
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