[Inquiry] Re: Futures Of Logical Graphs

Jon Awbrey jawbrey at att.net
Thu Oct 27 15:00:03 CDT 2005


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FOLG.  Note 20

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Cybernetics List, Peirce List,

In light of the foregoing reflections on the forms of iconicity worth having,
I will leave it to the reading tastes of the given hermenaut whether to read
the uncut page as more iconic of falsity or truth.  Once that choice is made,
then it's perfectly natural for the chooser to think that the choice was the
chosen one, and there is very little reason to become disillusioned about it.

But there are other orders of analogy, iconicity, metaphor, morphism, etc.
that we need to attend to in the way that a system of signs can represent
a system of objects.  At the level of the primary arithmetic, this refers
to the way that the distinction between falsity and truth, not the values
alone, can be represented in the distinction between one sort of sign and
another sort of sign.

A "sort" of signs is more formally known as an "equivalence class" (EC).
There are in general many sorts of sorts of signs that we might wish to
consider in this inquiry, but let's begin with the sort of signs all of
whose members denote the same object as their referent, a sort of signs
that will be called a "referential equivalence class" (REC).

Jon Awbrey

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