On 4/13/2017 3:59 PM, Jerry LR Chandler wrote:
In my mind, I am left with an intractable question: Is a Procrustian Bed essential to understanding the role of the identity relation in CSP’s theory of logical graphs of relations? Or, is a semantic explanation possible?
Peirce published his algebraic notation for logic in 1885. The greater flexibility of the 2-D surface allowed more notational variants for existential graphs. He discussed them in many pages of MSS. But I have never seen any example of an Alpha or Beta graph that was inconsistent with a straightforward mapping to his 1885 notation. Do you know of any examples for which there is an inconsistency? If not, I would claim that the issues you raised concern various 19th century theories of chemistry. That's an interesting subject in itself, but I don't believe that it raises any questions that are inconsistent with mapping any Alpha or Beta graph to the algebraic notation. For the Gamma graphs, there are many variations that raise complex issues, but Peirce admitted that much of that work was tentative. I believe that those issues are independent of any questions about chemistry. John
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