Hi John and list.

That reminds me of Zachman’s Primitive Interrogatives (About the Zachman Framework - Zachman International - FEAC Institute (zachman-feac.com)). John, I know you worked with John when you were at IBM. Indeed, I remember your subsequent joint paper in 1992. Other work also shows their use in the reemerging discipline of Enterprise Architecture (EA) e.g., [1509.07360] Ordering stakeholder viewpoint concerns for holistic and incremental Enterprise Architecture: the W6H framework (arxiv.org).

Therefore, I’d like to know the six kinds of reference a sign may have to its interpretants in EA, which would bring it into real-world applications epitomised by TOGAF’s Figure 3-3: Interactions between Metamodel, Building Blocks, Diagrams, and Stakeholders (in the TOGAF® Standard — Introduction - Architectural Artifacts (opengroup.org).

Thanks!

Simon

 

From: John F Sowa <sowa@bestweb.net>
Sent: Wednesday, February 14, 2024 3:15 AM
To: Conceptual Graphs <cg@lists.iccs-conference.org>; Peirce List <peirce-l@list.iupui.edu>
Subject: [CG] Who, What, When, Where, How, and Why (was Sign Relations

 

Jon,

 

I completely agree with the following principle:

 

JA> Another aspect of a sign's complete meaning concerns the reference a sign has to its interpretants...

 

And there are six kinds of reference that a sign my have to its interpretants.  Each kind corresponds to one of the six basic question words in English (or their equivalents in other languages).  Questions that begin with the first four question words may be answers with one word or phrase:  Who, What, When, and Where.  Any such question may be answered with one word or phrase and a MONADIC relation.

 

Questions that begin with How can be answered in a sentence with a dyadic verb, a DYADIC relation.

 

And questions that begin with Why require require a sentence with a verb that requires a subject, object, and an indirect object or  a prepositional phrase:  a TRIADIC relation.

 

In short, that is the distinction between Peirce's Firstness, Secondness, and Thirdness.  The monadic relations of Firstness express answers to the words Who, What, When, or Where,  The dyadic relations of Secondness express answers to the word How.  And the triadic relations of Thirdness answer questions to the word Why. 

 

In summary. all examples of Thirdness are answers to Why-questions.  They all express some kind of intention or purpose or explanation or reason for the triadic connection.

 

John

 

 


From: "Jon Awbrey" <jawbrey@att.net>
Sent: 2/13/24 9:02 AMc

 

Another aspect of a sign's complete meaning concerns the reference

a sign has to its interpretants, which interpretants are collectively

known as the “connotation” of the sign. In the pragmatic theory of

sign relations, connotative references fall within the projection

of the sign relation on the plane spanned by its sign domain and

its interpretant domain.

 

In the full theory of sign relations the connotative aspect of meaning

includes the links a sign has to affects, concepts, ideas, impressions,

intentions, and the whole realm of an interpretive agent's mental states

and allied activities, broadly encompassing intellectual associations,

emotional impressions, motivational impulses, and real conduct.

 

Taken at the full, in the natural setting of semiotic phenomena, this

complex system of references is unlikely ever to find itself mapped in

much detail, much less completely formalized, but the tangible warp of

its accumulated mass is commonly alluded to as the connotative import

of language.

 

Formally speaking, however, the connotative aspect of meaning presents

no additional difficulty. The dyadic relation making up the connotative

aspect of a sign relation L is notated as Con(L). Information about the

connotative aspect of meaning is obtained from L by taking its projection

on the sign‑interpretant plane. We may visualize this as the “shadow” L

casts on the 2‑dimensional space whose axes are the sign domain S and the

interpretant domain I. The connotative component of a sign relation L,

alternatively written in any of forms, proj_{SI} L, L_SI, proj₂₃ L, and

L₂₃, is defined as follows.

 

• Con(L) = proj_{SI} L = {(s, i) S × I : (o, s, i) L for some o O}.

 

Tables 4a and 4b show the connotative components of the sign relations

associated with the interpreters A and B, respectively. The rows of

each Table list the ordered pairs (s, i) in the corresponding projections,

Con(L_A), Con(L_B) S × I.

 

Tables 4a and 4b. Connotative Components Con(L_A) and Con(L_B)

https://inquiryintoinquiry.files.wordpress.com/2020/06/sign-relation-twin-tables-con-la-con-lb.png

 

Resources —

 

Sign Relations

https://oeis.org/wiki/Sign_relation

 

Connotation

https://oeis.org/wiki/Sign_relation#Connotation

 

Document History

https://oeis.org/wiki/Sign_relation#Document_history

 

Regards,

 

Jon

 

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