Robert, list Thank you for your paper. I cannot comment on the use of AI - but am focused, specifically, on your outline of 2.3. Two Determinations in the mature sign. Now - this is, in my view, very important. TWO determinations.
1] There is, as you outline, the a priori set of triadic relations, where the First Correlate is the Representamen, the Second is the Object and the Third is the Interpretant. 2.241.; 2.242. So- the Order is: Sign-Representamen/Object/Interpretant. This seems to correlate with the categories, such that a correlate in Firstness can only determine other correlates in the same mode… A correlate in Thirdness can determine correlates in the same or ‘lesser’ modes. 2.235. This analysis is abstract rather than referring to actual ‘ens’. 2] Then, in 1905, Peirce added another role for the sign/representamen, an a posteriori analysis...as a ‘medium of communication’, and the order of determination is Object->Sign/Repesentamren-> Interpretant. And, as you point out, it is important as Peirce did, to distinguish between the a posteriori and a priori forms of knowledge. They do not contradict each other; they instead, refer to different aspects of the semiosic process - but- they work together. 3] I also note that , in my view, Peirce’s analysis of the ’simple, middling complexity and most complex nature of the three correlates [ 2.235-6-7] refers to their position in the a priori correlate order of determination. where - the Represetnamen, the first correlate,is the simplest, because it determines all three. - And the third correlate, the Interpretant, is the most complex “being a law if any one of the three is a law, and not being a mere possibility unless all three are of that nature ] 2.236]. Note: I point out that, the reference to any one of the three or all three refers to the three correlates, NOT three Interpretants] So far, in my reading, an excellent analysis- and I’m particularly appreciative of the outline of the two determinations..ie..a priori and a posteriori Edwina > On Jun 24, 2025, at 7:51 AM, Ulysses <[email protected]> wrote: > > Interesting work Marty. > > Can you explain what your method tells us that a simple combinatorial script > does not? > > For example if you create a simple python script like this, you can easily > derive the 10 classes from three trichotomies. > > # Script: > trichotomy = 1,2,3 > i = 0 > for a in trichotomy: > for b in trichotomy: > for c in trichotomy: > if a >= b >= c: > i+=1 > print(i, ": ", a, b, c) > > # Output: > 1 : 1 1 1 > 2 : 2 1 1 > 3 : 2 2 1 > 4 : 2 2 2 > 5 : 3 1 1 > 6 : 3 2 1 > 7 : 3 2 2 > 8 : 3 3 1 > 9 : 3 3 2 > 10 : 3 3 3 > > Is your work aimed at giving motivation to how the three correlates can be > related to natural numbers, and therefore would obey this sort of > combinatorial ordering? Or are you saying that this combinatorial ordering > itself is not even necessary and the structure of the 10 classes emerges from > even simpler assumptions about Min(), Max() and Mid() / Any(), All(), Some() > ? > > Thank you, > Ulysses > > > > On Tue, 24 Jun 2025 at 12:51 pm, robert marty <[email protected] > <mailto:[email protected]>> wrote: >> List, >> >> In this part1 of my project, I propose an original contribution: a logical >> path a priori within triadic relations alone that leads to ten classes >> without any recourse to external or posterior notions, precisely as the >> Peirce's text asserts. A second innovation concerns the method used to spare >> the reader from tedious manual combinations, that is, using Artificial >> Intelligence. >> >> I will accept any comments or critical remarks, even the harshest ones, as a >> gift. >> >> https://www.academia.edu/130131910/Modeling_and_finalizing_Peirces_semiotics_with_AI >> >> Sincerely yours, >> >> Robert Marty >> >> Honorary Professor ; PhD Mathematics ; PhD Philosophy >> fr.wikipedia.org/wiki/Robert_Marty >> <https://fr.wikipedia.org/wiki/Robert_Marty> >> https://martyrobert.academia.edu/ >> >> _ _ _ _ _ _ _ _ _ _ >> ARISBE: THE PEIRCE GATEWAY is now at >> https://cspeirce.com <https://cspeirce.com/> and, just as well, at >> https://www.cspeirce.com <https://www.cspeirce.com/> . It'll take a while >> to repair / update all the links! >> ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON >> PEIRCE-L to this message. 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_ _ _ _ _ _ _ _ _ _ ARISBE: THE PEIRCE GATEWAY is now at https://cspeirce.com and, just as well, at https://www.cspeirce.com . It'll take a while to repair / update all the links! ► PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to [email protected] . ► To UNSUBSCRIBE, send a message NOT to PEIRCE-L but to [email protected] with UNSUBSCRIBE PEIRCE-L in the SUBJECT LINE of the message and nothing in the body. More at https://list.iu.edu/sympa/help/user-signoff.html . ► PEIRCE-L is owned by THE PEIRCE GROUP; moderated by Gary Richmond; and co-managed by him and Ben Udell.
