Gary R asked: I'd be interested in what forum members make of any of this, especially in relation to what has already been discussed, and especially in consideration of Gary F's two outlines of the 10 classes and the tree figure which he provided.
The difference is profound with respect to the nature of relations of the figures (icons? graphs? diagrams?). If a graphic tree structure is used in logic, such as Gary F may be implying, then each node in the diagram is a distinctive part of the thing, taken as a whole. The representamen of the object is mereo-logical. Each interior node is non-terminating. Terminal nodes (at the bottom of the tree) are "conclusions" in the sense that they bring closure (conclusions) to the set of propositions. OUTSIDE of the local meanings associated within the CSP context of linguistic usage and the historical (in)consistentency, I have never understood the logical meaning of your diagrams nor how to interpret them in a general scientific or logical sense. So, I have no comment, other than whatever the intended meaning of the triangular diagram, it can probably converted it into a Boolean-like form if anyone has the time and perseverance necessary to write the very long list of propositioned needed to associate your meaning with your diagram. As an aside, I interpret Gary F.'s tree as a simple logic of "yes" / "no" in the classical Boolean style; as such I read the tree as a complete, total abandonment of the intuitive meaning of triadicity as singular, relational form that does not require a "glue" and also as rejection of the trichotomy of nine terms CSP uses to construct a recursive form of logical argumentation that is scientifically sound. All the above comments, are, of course, my opinions of how the world works and how CSP chose to interpret his world in terms of the 19th Century culture he inhabited. Cheers Jerry
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