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]> 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://martyrobert.academia.edu/ <https://martyrobert.academia.edu/>* > > _ _ _ _ _ _ _ _ _ _ > 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.
_ _ _ _ _ _ _ _ _ _ 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.
