Supplement: With alternation of the backround of Venn diagrams in the case of Entitative Graphs / Laws of Form I meant, that this alternation takes place between graphs with no variable written into the unmarked space. That would be: (C) : Black background. (B(C)): White background. (A(B(C))): Black background. With EGs, I guess you never write a variable into the blank sheet, and in this case the background always is black.
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List,
somewhwere, I forgot where, I have read, that Existential Graphs are Entitative Graphs turned inside out. In the attachment I have tried to see whether this is so or not, by visualizing some graphs with Venn diagrams. I have found that for two variables in cuts inside each other (page 1 of the attachment), but not for three of them (page 2).
It is also said (Wikipedia), that Entitative and Existential Graphs are dual with each other. I have not checked that yet. I first thought I had, thinking that dual Venn-Diagrams are like one being a negative photo-copy of the other. But that is not so. I dont know, whether duality is visible at all by comparing Venn-Diagrams. Duality means, that between two compared truth-tables "true" and "false" outcome values are replaced with each other.
Another thing is, that, while this is not the case with EGs, in Entitative Graphs the background of the Venn-Diagram alternates between black and white with additional cuts inside each other.
Entitative Graphs are isomorphic with Laws of Form, so this alternating background should not be, I guess, as in Laws of Form, it should be "unmarked space", isnt it? So nothing should happen with it, should it?
But maybe, I have made mistakes? I was assuming, that a cut means "not" to its inside, and that elements besides each other are connected with "or" in Entitative Graphs, but with "and" in EGs.
Best regards,
Helmut
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