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

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