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SUO: Re: Sign Relations & Communication




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JA = Jon Awbrey
SR = Seth Russell

SR: Well I would agree, except for your restraint of *solely* ... for
    if there is no distinction, then why bother with the extra element
    in your form?  So that I agree that were we to analyze separately the
    contents of either of the domains I or S formally, then we contrive not
    to find any distinctions in the texture of that analysis ... yet when we
    put them together in one analysis (or picture) we will certainly be putting
    different things in each domain the differences illustrating the various roles
    of three domains.

JA: No, I mean that quite literally, and it is one of the
    most important aspects of pragmatic semiotics that the
    interpretant sign really is a sign in relation to its
    own interpretant sign, and so on, ad in/finitum, that is,
    achieving its own form of closure in ways that are bounded
    or unbounded, finite or infinite.

JA: Being an object, a sign, or an interpretant sign is not an essential
    attribute.  It is an accidental, contingent, incidental, pragmatic,
    relational role that a thing happens to be playing at a particular
    moment of relation, expressed as an "elementary relation" or
    a 3-tuple transaction of the form <o, s, i>.

SR: Ok but my emphasis here is on *role* and how things look relative
    to each other.  So that if we are to take a snapshot of any given
    predicament, that snapshot (that mentograph) will show different
    things in the different domains.  And when we do this, showing
    these domains in relationship to each other to describe some
    particular predicament, we must picture the contents as being
    different.  Sure we can morph (rotate) our viewpoint of that
    predicament around so that the same object appears in different
    domains ... and that is a useful thing to do ... but in any given
    snapshot if we wipe out one of the domains, we are no longer using
    Peirce's insight.

JA: At another moment, as embodied in <o', s', i'>, the very same things may
    be playing entirely different roles.  Don't bother trying to stop me if
    you heard this one, but the "Daffy Duck Theory Of The Semiotic Universe"
    (D^2 TOTSU) is a perfectly sensible, if somewhat mystical notion to the
    Peircean way of thinking, to wit, the idea that the "Whole Universe" (WU)
    is quite literally a sign of itself to itself, and thus that the ultimate
    cosmic sign relation contains a triple <o, s, i> = <WU, WU, WU>.  Really!

SR: Cool!  But at any given moment from some particular point of view
    that some process can actually take the contents of the elements
    <o, s, i> are different.

JA: More generally speaking, this is what relational thinking is all about.
    There need be nothing at all that distinguishes the relational domains
    as sets.  Think of the permutations of a set X = {1, 2, 3, 4, 5, 6}.
    Such a permutation is a bijective function f : X -> X, in other words,
    a special sort of relation F c X x X.  There are 6! = 720 distinct such
    functions f or relations F, but the functional or relational domains are
    exactly the same X.  Indeed, there are higher levels of abstraction that
    are mounted in group theory where we forget all about X and just preserve
    the structure of the group of 6! elements, Aut(X) = {automorphisms of X}
    or Sym(6) = {symmetries of a set of 6 elements}.

SR: Yes but we are not talking about a bijective function.   There really are
    three separated domains when we restrain ourselves to a particular point
    of view that some process can actually take at any given moment in time.
    I fail to see how taking a God's eye view of this is going to be useful
    to us here ... nor can you or I actually that that point of view in any
    reality that we can share.

SR: Elements, yes perhaps, but content ... no, I don't think so ...
    not at least if they are parts of the *same* picture and are
    analyzing *collectively* some particular conundrum ... for
    then (as in my comment above) we would not need the extra
    column at all.  You have swept it away.

JA: Pragmatic Agon:  "The winning of our dis/content falls mainly in the O domain."

SR: I refuse to take sides ... I want all three for the purposes of our analysis ...
    and while I'm not familure with Mr Agon, I also love the natural world where
    these pretentious Os seem to exist.  These Os which now are their own things
    independant and of themselves alone, and now become signs for other Os, and
    now again are refelected in the thoughts darting in my memory.

One is always on the side of one's own content.

Jon Awbrey

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