Jerry, List: Your questions as posed are extremely general, and their answers depend heavily on the particular context of interest.
Peirce *assigns *specific logical content to certain signs in his Existential Graphs (EGs) and develops the transformation rules for them accordingly. In all parts, the blank sheet represents the universe of discourse, graphs scribed on it represent propositions that are asserted as true in that universe, juxtaposition represents coexistence in that universe (conjunction), and a scroll (double cut or ring-shaped shaded area) represents a consequence (material implication) from which a single cut or shaded area is derived as representing negation (implication of falsity/absurdity). In the Beta part, heavy lines of identity denote indefinite individuals and attached names denote general concepts being attributed to those individuals. In the Gamma part, there are various additional signs for various purposes, such as the broken cut for possible falsity (modal logic), the heavy line with dotted lines along both sides for quantifying predicates (second-order logic), and the dotted oval for treating a proposition as a subject that fills the blank in a rheme attached to the oval by a dotted line (metalanguage). As I keep emphasizing, we cannot know for sure what Peirce had in mind for the Delta part, other than that it would "deal with modals," unless and until new manuscript evidence turns up, such as the missing pages of R L376. My hypothesis is that he was considering a new notation for representing and reasoning about modal propositions involving possibility or necessity, such as the one that he introduces in his Logic Notebook (R 339:[340r], 1909 Jan 7). In that case, heavy lines represent "circumstances" or "times"--more formally, possible states of things (PSTs)--and attached letters represent propositions that would be true under those circumstances, at those times, or in those PSTs. The transformation rules for these "lines of compossibility" (my term) are different from the ones for the "lines of identity" (Peirce's term) in the Beta part because of the obvious and fundamental semiotic difference between describing *things *with names (rhemes/semes) and describing *states of things* with propositions (dicisigns/phemes). Regards, Jon Alan Schmidt - Olathe, Kansas, USA Structural Engineer, Synechist Philosopher, Lutheran Christian www.LinkedIn.com/in/JonAlanSchmidt / twitter.com/JonAlanSchmidt On Tue, Mar 12, 2024 at 8:01 AM Jerry LR Chandler < jerry_lr_chand...@icloud.com> wrote: > Jon, John, List: > > The attempts to interpret the on going discussions leads to simple > questions about meaning of symbols and logics. > > Given a graphic object, how does one decipher the logical content of it? > > What types of semantics can be associated with what types of visual > distinctions? > > How many distinctions are to be associated with a graphic object? And how > are these distinctions associated with the forms embodied in the objects > with logical premises OF ANY ORDER? > > I pose these questions because as the discussion unfolds into the vast > richness of modal logics within the modern forms of symbolic logics, the > roles of individual minds in expressing semes appears to become dominant. > In other words, the boundaries between symbols and icons seems to > disappearing... > > Cheers > > Jerry >
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