On 12/1/2017 7:00 AM, Jon Awbrey wrote:
Many aspects of Peirce's alpha graphs can be clarified by seeing how they relate to the corresponding Venn diagrams.
I strongly agree. In fact, I would generalize that point to *all* versions of EGs and *all* versions of diagrams. The full power of EGs of any kind can be clarified by showing how they relate to diagrams of any kind. That was the point of my slides on natural logic, which I mentioned in a note to Gary F: http://jfsowa.com/talks/natlog.pdf But that presentation has 101 slides. I doubt that most (any?) people on this list read through all of them. I should have cited the shorter version I presented at the APA convention in Vancouver (Session #2 on Peirce) in 2015: http://jfsowa.com/talks/ppe.pdf In any case, I'm now writing a reply to Gary about how Peirce's 1909/1911 explanation of EGs (but not his earlier versions) can be generalized to include arbitrary icons in an EG and its proof. Hint: In symbolic logic, a rhema is represented by a symbol. But as CSP said, symbols evolve from icons. He also said that capital letters can be used as selectives. In his diagrams, Euclid used capital letters to select points of interest. Put those two ideas together, and Bingo! You can include any or every Euclidean diagram in a generalized EG and its proof. I'll say more about this in my note to Gary. But you can get the idea by looking at slides 20 to 31 of ppe.pdf. And that's the point I want to make in answer to Gary: EGs can be explained by showing, not saying. See the summary of EGs, which I show in just four slides (12 to 15 of ppe.pdf). The huge amount of verbiage in Peirce's earlier writings about EGs is more confusing than enlightening. For anything that can be seen, showing is better than saying. (But I admit that saying is important for explanations.) John
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