Margaretha, Edwina, Robert, List: Whether a triangle or a Y-shape is more appropriate depends on what exactly is being diagrammed. Peirce uses triangles for sign classification (EP 2:491, 1908), and Gary R. uses triangles to illustrate the different "vectors" by which various phenomena are related with respect to the three universal/formal categories ( https://arisbe.sitehost.iu.edu/menu/library/aboutcsp/richmond/trikonic.htm). For example, in semiosis, the "vector of determination" is from the object (2ns) through the sign (1ns) to the interpretant (3ns).
As Robert indicated, what Peirce shows with the Y-shapes in CP 1.346-347 (1903) are existential graphs of triadic relations (names a, b, c, d) that each have three correlates (attached lines of identity) and how they can be arranged to demonstrate "that every relation which is *tetradic*, *pentadic*, or of any greater number of correlates is nothing but a compound of triadic relations." He provides even more examples of this at EP 2:364 (1906). In semiosis, the sign, the object, and the interpretant are the three correlates of the irreducible triadic relation of representing or mediating. Regards, Jon Alan Schmidt - Olathe, Kansas, USA Structural Engineer, Synechist Philosopher, Lutheran Christian www.LinkedIn.com/in/JonAlanSchmidt - twitter.com/JonAlanSchmidt On Thu, Oct 7, 2021 at 10:01 AM robert marty <robert.mart...@gmail.com> wrote: > Margaretha, Edwina, List > > Edwina is absolutely right but she committed a small lapsus clami .... it > is not 1.327 but 1.347 that should be read and even 1.346 too... > > "Peirce: CP 1.346 Cross-Ref:†† 346. The other premiss of the argument > that genuine triadic relations can never be built of dyadic relations and > of qualities is easily shown. In existential graphs, a spot with one tail > -- X represents a quality, a spot with two tails -- R -- a dyadic > relation.†1 Joining the ends of two tails is also a dyadic relation. But > you can never by such joining make a graph with three tails.* You may > think that a node connecting three lines of identity Y is not a triadic > idea. But analysis will show that it is so.* I see a man on Monday. On > Tuesday I see a man, and I exclaim, "Why, that is the very man I saw on > Monday." We may say, with sufficient accuracy, that I directly experienced > the identity. On Wednesday I see a man and I say, "That is the same man I > saw on Tuesday, and consequently is the same I saw on Monday." There is a > recognition of triadic identity; but it is only brought about as a > conclusion from two premisses, which is itself a triadic relation. If I see > two men at once, I cannot by any such direct experience identify both of > them with a man I saw before. I can only identify them if I regard them, > not as the very same, but as two different manifestations of the same man. > But the idea of manifestation is the idea of a sign. Now a sign is > something, A, which denotes some fact or object, B, to some interpretant > thought, [emphasize mine] > > C. Peirce: CP 1.347 Cross-Ref:†† 347. It is interesting to remark that > while a graph with three tails cannot be made out of graphs each with two > or one tail, yet combinations of graphs of three tails each will suffice to > build graphs with every higher number of tails. > [image: image.png] > And analysis will show that every relation which is tetradic, pentadic, > or of any greater number of correlates is nothing but a compound of triadic > relations. It is therefore not surprising to find that beyond the three > elements of Firstness, Secondness, and Thirdness, there is nothing else to > be found in the phenomenon " > > Best regards, > Robert Marty > > Honorary Professor ; PhD Mathematics ; PhD Philosophy > fr.wikipedia.org/wiki/Robert_Marty > *https://martyrobert.academia.edu/ <https://martyrobert.academia.edu/>* > > Le jeu. 7 oct. 2021 à 16:11, Edwina Taborsky <tabor...@primus.ca> a > écrit : > >> Margaretha >> >> 1] I believe I sent you a post, just after your original post to this >> list, with a comment that the Peircean triad doesn't function as a triangle >> but in a Y shape. >> >> That is, the three nodal sites of Object-Representamen/Sign - >> Interpretant do not interact with each other in a triangle format, which is >> closed, but within that Y shape, where the three interactions are OPEN and >> enable networking with other triads. >> >> I think this is a vital point. Peirce himself showed the graph of these Y >> shapes connecting with each other [1.327]. >> >> The thing about Peirce is that his analytic framework, made up of that >> triadic Y interaction, which enables connections with other 'Y's...plus his >> three modal categories of Firstness, Secondness and Thirdness [chance, >> immediate physical connection and reason-habits] together enable a complex >> adaptive system that has the capacity to self-organize and evolve. >> >> 2] I have used Popper to compare with Peirce - I think that Popper's >> Third World has strong comparisons with Peirce's Thirdness….he even sets >> it up as analogous with the biological realm of knowledge. [See his >> Objective Knowledge]. And I think that Popper's emphasis on openness, as in >> The Open Society, where he rejects historicism and destiny for an >> essentially open and unknown complexity of interactions -- is similar to >> Peirce. That is, Popper accepts chance and reason as correlates [Firstness >> and Thirdness] in the development of a society. >> >> Edwina >> >> On Thu 07/10/21 9:48 AM , Margaretha Hendrickx mahe3...@gmail.com sent: >> >> List, >> >> How many of you are working on -- or interested in -- studying the >> connection between the philosophy of Karl Popper and Charles Peirce? >> >> So far, I know of only one philosopher who has worked on this >> intersection, the French philosopher, Christiane Chauvire. But there must >> be others. >> >> As a footnote, my professional background is in strategic management, not >> in philosophy. I am interested in Peircean philosophy, and especially his >> work on semiotic triangles, given that I believe it provides some key >> answers to epistemological problems in management research. >> >>
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