John, List: JFS: The entire letter L376 is about Delta graphs and applications of Delta graphs.
This conjecture is quite a leap, considering that--as you acknowledged--Peirce mentions Delta *exactly once* in that entire 19-page letter, which he left unfinished unless additional pages somehow disappeared from the manuscript folder at Harvard's Houghton Library decades ago. Again, here is that lone sentence. CSP: The better exposition of 1903 divided the system into three parts, distinguished as the Alpha, the Beta, and the Gamma, parts; a division I shall here adhere to, although I shall now have to add a *Delta *part in order to deal with modals. In the remaining text that we currently have, Peirce never gets around to discussing *any *of the individual parts of EGs and their differences, despite stating plainly that he was going to maintain them as "the better exposition" of the system as a whole. He also says nothing whatsoever about dealing with modals, which is his only stated purpose for adding a Delta part to the other three. JFS: As Peirce wrote, the phemic sheet of a Delta graph contains multiple "papers", each of which represents one possibility specified by "postulates" that govern the remaining content of the sheet. That is *not *what Peirce wrote in his letter to Risteen. Again, here is the exact quotation. CSP: I provide my system with a *phemic sheet*, which is a surface upon which the utterer and interpreter will, by force of a voluntary and actually contracted habit, recognize that whatever is scribed upon it and is interpretable as an assertion is to be recognized as an assertion, although it may refer to a mere idea as its subject. If “snows” is scribed upon the Phemic Sheet, it asserts that in the universe to which a special understanding between utterer and interpreter has made the special part of the phemic sheet on which it is scribed to relate, it *sometime *does snow. For they two may conceive that the “phemic sheet” embraces many papers, so that one part of it is before the common attention at one time and another part at another, and that actual conventions between them equivalent to scribed graphs make some of those pieces relate to one subject and part to another. Again, there is no mention here of Delta, nor of modals. In fact, there is no mention here of *any *of the different parts of EGs, because Peirce is describing the phemic sheet as employed in *every *part. He also does not say that the different "papers" correspond to different *possibilities*, he says that they correspond to different *subjects*--different universes of discourse--to which the utterer and interpreter together pay attention at different times. So I ask again, how exactly would the use of multiple "papers" and/or the "red pencil" operation of R 514 facilitate implementing formal systems of modal logic with EGs? Which specific one, "invented in 2006," do you have in mind? JFS: Meanwhile, there are some questions to ponder: Any answers to such questions about the details of Peirce's unfortunate accident are pure speculation. It seems to me that if it had happened while he was "laying out a diagram of papers" for a new version of EGs, then he likely would have said so somewhere. Regards, Jon Alan Schmidt - Olathe, Kansas, USA Structural Engineer, Synechist Philosopher, Lutheran Christian www.LinkedIn.com/in/JonAlanSchmidt / twitter.com/JonAlanSchmidt On Tue, Feb 20, 2024 at 9:18 PM John F Sowa <s...@bestweb.net> wrote: > Jon, > > The entire letter L376 is about Delta graphs and applications of Delta > graphs. Since Peirce began the letter to Risteen shortly after his visit, > he was assuming that Risteen knew a great deal about the material they had > discussed. Therefore, he plunged into examples without much of an intro. > > As Peirce wrote, the phemic sheet of a Delta graph contains multiple > "papers", each of which represents one possibility specified by > "postulates" that govern the remaining content of the sheet. There are > many ways of partitioning a sheet of paper to distinguish the postulates > from the content they govern. The excerpt from R514 is one method, and it > happens to fill an entire sheet of paper. He may have thought of some > other notation for partitioning the paper, but the logical result would be > equivalent. > > There is much more to say, and I'll send the full preview later this week. > > Meanwhile, there are some questions to ponder: Why did Juliette scrub and > polish the floor in December? Spring cleaning is rarely done in December. > Why was there some paper on the floor? Why did Peirce slip n it? Didn't > he see it? Why was his accident so serious? If he had been walking in a > straight line, he might have fallen on his rear. That might have been > painful, but it wouldn't cause a serious injury that took 6 months to heal. > Such a serious accident might have occurred if Peirce had been walking > fast while turning or twisting. But why would he be doing that? > > Possible answer: Charles had asked Juliette to wash the floor because he > wanted to build a diagram with multiple papers. He was laying out a > diagram of papers with a large example of what he was writing about. As he > turned to lay our another layer, he turned and slipped. > > John > >
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