Jerry C., List: JLRC: Can you explain the gap between the meanings of the geometric terms, point, line and plane, such that they generalize to linguistic conclusions?
The subject matter here is broadly semiotic, rather than narrowly linguistic. Immediately after the statement of mine that prompted this request, I noted that a point is discrete rather than continuous, and then suggested accordingly the alternative of conceiving a Seme as a line, a Pheme as a plane, and a Delome as a space. In doing so, I was proposing an imaginative *diagram *representing the significant *relations *among each of these kinds of Signs as *Types*--at least two Semes are connected by a continuous predicate in a Pheme, and at least three Semes and three Phemes are connected by a logical leading principle in a Delome. Points are then discrete *Instances *(Tokens) of Signs--anywhere on the line for a Seme, at the intersection of Seme lines in the plane for a Pheme, and at the intersection of Seme lines and Pheme planes in the space for a Delome. As an example, consider the familiar Delome, "Every man is mortal; Socrates is a man; therefore, Socrates is mortal." In accordance with a logical leading principle, this Delome connects three Phemes--"every man is mortal," "Socrates is a man," and "Socrates is mortal." In accordance with a continuous predicate, each of those Phemes connects two of three Semes--"man," "mortal," and "Socrates." As a Sign (Type), each of these Semes is analogous to a continuous line, and any isolated Instance (Token) of each is analogous to a discrete point that we arbitrarily mark on the corresponding line. As a Sign (Type), each of the Phemes is analogous to a continuous plane defined by the two lines for the Semes that it involves, and any isolated Instance (Token) of each is analogous to the discrete point where those lines intersect. As a Sign (Type), the Delome is analogous to a continuous space defined by the three planes for the Phemes that it involves and the three lines for the Semes that they involve, and any isolated Instance (Token) of it is analogous to the discrete point where those planes and lines intersect. Is that any more perspicuous? Regards, Jon Alan Schmidt - Olathe, Kansas, USA Professional Engineer, Amateur Philosopher, Lutheran Layman www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt On Sun, Jan 20, 2019 at 6:05 PM Jerry LR Chandler < [email protected]> wrote: > List, Jon: > > On Jan 19, 2019, at 8:18 AM, Jon Alan Schmidt <[email protected]> > wrote: > > This initially suggests a Seme as a point, a Pheme as a line defined by > two points, and a Delome as a plane defined by three points that also > define three lines. > > It is of interest recall the CSP definitions of the terms Seme, Pheme, and > Delome. > From the Commens dictionary: > > 1906 | Prolegomena to an Apology for Pragmaticism | CP 4.538 > > A familiar logical triplet is Term, Proposition, Argument. In order to > make this a division of all signs, the first two members have to be much > widened. By a *Seme*, I shall mean anything which serves for any purpose > as a substitute for an object of which it is, in some sense, a > representative or Sign. The logical Term, which is a class-name, is a > Seme. Thus, the term “The mortality of man” is a Seme. > > 1906 | Prolegomena to an Apology for Pragmaticism | CP 4.538 > > A familiar logical triplet is Term, Proposition, Argument. In order to > make this a division of all signs, the first two members have to be much > widened. [—] By a *Pheme* I mean a Sign which is equivalent to a > grammatical sentence, whether it be Interrogative, Imperative, or > Assertory. In any case, such a Sign is intended to have some sort of > compulsive effect on the Interpreter of it. > > 1906 | Prolegomena to an Apology for Pragmaticism | CP 4.538 > > A familiar logical triplet is Term, Proposition, Argument. In order to > make this a division of all signs, the first two members have to be much > widened. [—] As the third member of the triplet, I sometimes use the word > Delome […], though *Argument* would answer well enough. It is a Sign > which has the Form of tending to act upon the Interpreter through his own > self-control, representing a process of change in thoughts or signs, as if > to induce this change in the Interpreter. > > From the Commens dictionary definitions, the challenge appears to be to > widen the meaning of the words, “term” and “proposition” and concomitantly, > assign a new word, Delome, as a synonym for argument. > > A principle constraint of meaning of these terms, as well as his > previously introduced terms, Rhema, and Dicisign, is to form a conclusion > from the argument. > > At first glance, one might consider the notions of point, line and plane > as predicates in the sense first order logic, but this is a very thin > linkage. > > Can you explain the gap between the meanings of the geometric terms, > point, line and plane, such that they generalize to linguistic conclusions? > > Cheers > Jerry >
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