[CG] Re: Sign Relations

Sign Relations • Ennotation • https://inquiryintoinquiry.com/2024/02/14/sign-relations-ennotation-b/ All, A third aspect of a sign's complete meaning concerns the relation between its objects and its interpretants, which has no standard name in semiotics. It would be called an “induced relation” in graph theory or the result of “relational composition” in relation theory. If an interpretant is recognized as a sign in its own right then its independent reference to an object can be taken as belonging to another moment of denotation, but this neglects the mediational character of the whole transaction in which this occurs. Denotation and connotation have to do with dyadic relations in which the sign plays an active role but here we are dealing with a dyadic relation between objects and interpretants mediated by the sign from an off‑stage position, as it were. As a relation between objects and interpretants mediated by a sign, this third aspect of meaning may be referred to as the “ennotation” of a sign and the dyadic relation making up the ennotative aspect of a sign relation L may be notated as Enn(L). Information about the ennotative aspect of meaning is obtained from L by taking its projection on the object‑interpretant plane. We may visualize this as the “shadow” L casts on the 2‑dimensional space whose axes are the object domain O and the interpretant domain I. The ennotative component of a sign relation L, variously written in any of the forms, proj_{OI} L, L_OI, proj₁₃ L, and L₁₃, is defined as follows. • Enn(L) = proj_{OI} L = {(o, i) ∈ O × I : (o, s, i) ∈ L for some s ∈ S}. As it happens, the sign relations L_A and L_B are fully symmetric with respect to exchanging signs and interpretants, so all the data of proj_{OS} L_A is echoed unchanged in proj_{OI} L_A and all the data of proj_{OS} L_B is echoed unchanged in proj_{OI} L_B. Tables 5a and 5b show the ennotative components of the sign relations associated with the interpreters A and B, respectively. The rows of each Table list the ordered pairs (o, i) in the corresponding projections, Enn(L_A), Enn(L_B) ⊆ O×I. Tables 5a and 5b. Ennotative Components Enn(L_A) and Enn(L_B) • https://inquiryintoinquiry.files.wordpress.com/2020/06/sign-relation-twin-t… Resources — Sign Relations • https://oeis.org/wiki/Sign_relation Ennotation • https://oeis.org/wiki/Sign_relation#Ennotation Document History • https://oeis.org/wiki/Sign_relation#Document_history Regards, Jon cc: https://www.academia.edu/community/lzdd2E cc: https://mathstodon.xyz/@Inquiry/111891382765624469