John, Jon, List I think I have shown that one can already avoid, at first, the most repulsive and abstract aspect of the exposition of the axioms of CategoryTheory . Because it is the natural transformations of functors that are the essential obstacle opening towards categories of categories. These "relations of relations" which disturb no longer appear if we place ourselves in the field of Posets (Partially Ordered Set) which is easy to apprehend especially since the Poset that we use to begin with is just the order on the three numbers 1,2,3 that children count on their fingers! Then it's just a matter of understanding the notion of "structure-preserving application" which is easy to illustrate with diagrams. I must say that the mental operations of most philosophers who manipulate sequences of reasoning in the field of classical logic mobilize capacities far beyond those required to work with such a simple Poset. The resulting lattice structure is immediately put into a diagram and there is no need to know its exact definition.Moreover, to convince oneself of its natural relevance to semiotics, one need only read Peirce: CP 2.254 to 2.264. 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 ven. 25 juin 2021 à 06:08, John F. Sowa <[email protected]> a écrit : > The attached file, diag.txt, contains a review of the book *Diagrammatic > Immanence: Category Theory and Philosophy*, which contains a chapter > about Peirce. Since the book is written for non-mathematicians, it uses > diagrams to explain the ideas, rather than the more complex terminology of > category theory. > > Jon Awbrey sent information about the book to another email list, but not > to Peirce-L. But I decided to send this note to Peirce-L, since several > subscribers have discussed issues about category theory and Peirce. > > John > _ _ _ _ _ _ _ _ _ _ > ► 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.iupui.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. >
_ _ _ _ _ _ _ _ _ _ ► 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.iupui.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.
