[CG] Re: Systems of Interpretation

Cf: Systems of Interpretation • 5 • https://inquiryintoinquiry.com/2023/06/11/systems-of-interpretation-5-2/ Figure 2. An Elementary Sign Relation • https://inquiryintoinquiry.files.wordpress.com/2023/05/elementary-sign-rela… 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” 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