Auke, I apologize for my previous note. I accidentally hit SEND before I wrote anything. JFS> Formal EGs are the foundation. As Peirce himself said, logic as semiotic is much broader. It includes the methodeutic for analyzing and developing the immense variety of the empirical sciences. AvB> We have discussed this point before. It seems to me that you forget about speculative grammar and only recognize critic and speculative rhetoric... When I wrote "logic as semiotic", I implied all three branches. Then I emphasized methodeutic because I cited some slides and articles that discussed methods for using EGs in applications to various subjects. Among other things, those applications showed how the eg1911 version enabled a rather simple solution to an unsolved research problem from 1988. For over 20 years, some very good logicians were unable to find a solution by using the algebraic notations for first-order logic. But the symmetric rules of inference (permissions) of eg1911 indicated a direct path to the solution. See slides 65 ff of http://jfsowa.com/talks/ppe.pdf . After that solution was found, it could be translated to any other notation for FOL, including any algebraic version. Moral of the story: The iconic structure of EGs and their rules of inference do not increase the expressive power of FOL. But they enable people to "see" or "imagine" reasoning steps that may be obscured by the algebraic notation. In this case, the scroll would be "anti-iconic" because it is asymmetric, and the proof depends on the symmetry of the rules of inference. In any case, the original topic of this thread was very narrow: Peirce's EGs of 1911 and their relationship to his earlier EGs. For other issues, it's better to start a new thread. John
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