Edwina, List,

I must admit that as I wrote of that central sign class that I thought of
you and C.W. Spinks, that is, of his book, *Peirce and Triadomania: A Walk
in the Semiotic Wilderness*, which you once pointed  me to (thanks for
that).

I'll want to reflect more on your perspective in this matter, as I too am
quite intrigued by that singular class, (6) = rhematic indexical legisign.

Best,

Gary R

[image: Gary Richmond]

*Gary Richmond*
*Philosophy and Critical Thinking*
*Communication Studies*
*LaGuardia College of the City University of New York*
*C 745*
*718 482-5690*

On Mon, Nov 30, 2015 at 4:18 PM, Edwina Taborsky <[email protected]> wrote:

> I have always felt that the rhematic-indexical-legisign (1-2-3) with its
> Interpretant in a mode of Firstness)  is the basic Peircean Sign, in that
> it operates with an abductive openness to other Signs while including ALL
> modes within itself, which the Dicents (with the Interpretant in a mode of
> Secondness) operate within an inductive empiricism, and the Argument
> operates in a deductive mode.
>
> Edwina
>
> ----- Original Message -----
> *From:* Gary Richmond <[email protected]>
> *To:* Peirce-L <[email protected]>
> *Cc:* Benjamin Udell <[email protected]>
> *Sent:* Monday, November 30, 2015 3:56 PM
> *Subject:* Re: [PEIRCE-L] RE: signs, correlates, and triadic relations
>
> Gary, Sung, Helmut, List,
>
> This is all quite intriguing. To add to the intrigue, consider this
> diagram of the 10 classes of signs, here represented by an equilateral
> triangle placed on its side to show certain features to be discussed.
>
> [image: Inline image 1]
>
> For each of the 10 sign classes, the number at the vertex to the right
> represents the correlate re: the interpretant; that at the vertex at the
> bottom, the correlate re: the object; and the vertex at the top, the
> correlate re: the sign itself. [It might be helpful to print out this
> diagram--easily cut and pasted--and compare it to a version which has each
> sign class numbered and named. (Thanks to Ben Udell for this suggestion as
> well as creating this image from a handwritten version of mine for a ppt
> show, and for reversing the colors to make it easier to print out if so
> desired.)]
>
> *Diagram observation*: Imagine, for a moment, that the large triangle
> containing all 10 sign classes is composed of three groups of three sign
> classes each positioned around a *central triangle*, a kind of
> singularity, (6) = rhematic indexical legisign (of which a word later).
> [Ben also once made a slide for me of the above diagram clearly showing the
> 3 positioned around the central triangle, but I haven't been able to locate
> it.]
>
> *Group 1 of 3:* In each of the sign classes in the triangle group of
> three classes at the top left: (1) = *rhematic iconic* qualisign, (2) = 
> *rhematic
> iconic* sinsign, (5) = *rhematic iconic* legisign, the correlates
> (following the bent arrow, so reading involutionally from the interpretant,
> through the object, to the sign itself) are *exactly* the same (*rhematic
> iconic*), and only the *sign* *itself* changes, for class (1) =
> qualisign, for (2) = sinsign, for (5) = legisign. Note also that two of the
> correlates of each sign class are firsts, and for class one (1) *all are
> firsts*.
>
> *Group 2 of 3:* Dropping now to the triangle group at the bottom left.
> (3) = rhematic *indexical sinsign*, (4) = *dicent indexical sinsign*, (7)
> = *dicent indexical* legisign, note that at least 2 of the correlates of
> each sign class are seconds. and for class (4), *all are seconds*. (Two
> classes are sinsigns, only the third is a legisign)
>
> *Group 3 of 3:* Next, moving to the third triangle group at the right.
> (8) = rhematic *symbolic legisign*, (9) = dicent *symbolic legisign*,
> (10) = argumentative *symbolic legisign*, note that at least two of the
> correlates are thirds, and for class (10) *all are thirds*.
>
> Interestingly (at least to me), a kind of mirror of the top left triangle
> group involving mainly firsts, in this final group *only the corrolate
> associated with the interpretant changes* (distinguishing these symbolic
> legisigns as, respectively, rheme, dicent, and argument), while the two
> remaining correlates are in each case s*ymbolic legisigns*.
>
> Each of the three groups of three sign classes would seem to represent a
> kind of trichotomy. In addition, the three groups of three classes *taken
> together* also represent a kind of trichotomy (that is, in both cases, a
> *categorial* trichotomy).
>
> Also note that at the three vertices of the large triangle we have,
> respectively, 1/1/1, 2/2/2, 3/3/3.
>
> Finally, note that *only* the central singular triangle reads 1/2/3 (has
> all 3 numerals as collorary markers).
>
> 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.
>
> Best,
>
> Gary R
>
> [image: Gary Richmond]
> ​​
>
>
> *Gary Richmond*
> *Philosophy and Critical Thinking*
> *Communication Studies*
> *LaGuardia College of the City University of New York*
> *C 745*
> *718 482-5690 <718%20482-5690>*
>
> On Sun, Nov 29, 2015 at 6:59 PM, <[email protected]> wrote:
>
>> Continuing our study of NDTR:
>>
>>
>>
>> Having narrowed his topic from triadic relations in general to those of
>> the type R-O-I, and then further to the Representamen as First Correlate
>> of that relation, and finally to the Sign as the best-known type of
>> Representamen, Peirce introduces the three trichotomies into which Signs
>> can be divided:
>>
>>
>>
>> CP 2.243. Signs are divisible by three trichotomies: first, according as
>> the sign in itself is a mere quality, is an actual existent, or is a
>> general law; secondly, according as the relation of the sign to its object
>> consists in the sign's having some character in itself, or in some
>> existential relation to that object, or in its relation to an interpretant;
>> thirdly, according as its Interpretant represents it as a sign of
>> possibility or as a sign of fact or a sign of reason.
>>
>> [Clearly the order here — both the order of the trichotomies, and the
>> order within each trichotomy — is from simple to complex. When Peirce later
>> defines each of the ten sign types, his numbering of them follows the same
>> pattern. If we arrange them into a three-level outline format, it looks
>> like this (with Peirce’s numbering of the ten sign types in parentheses):
>>
>>
>>
>>    1. *Qualisign* (1)
>>    2. Sinsign
>>       1. *Iconic* (2)
>>       2. Indexical
>>          1. *Rhematic* (3)
>>          2. *Dicent* (4)
>>       3. Legisign
>>       1. *Iconic* (5)
>>       2. Indexical
>>          1. *Rhematic* (6)
>>          2. *Dicent* (7)
>>       3. Symbolic
>>          1. *Rhematic* (8)
>>          2. *Dicent* (Proposition) (9)
>>          3. *Argument* (10)
>>
>>
>>
>> A more purely iconic representation of this same structure occurs on
>> EP2:162, in the context of the third Harvard lecture. Reading from left to
>> right, the number of subdivisions increases with each trichotomy, giving us
>> ten items at the bottom level.
>>
>> There are a couple of surprising (perhaps) features to notice here.
>> First, in its original context, Peirce uses this diagram to show the
>> relationship between *subdivision* and *relative degeneracy* in the
>> category of Thirdness. How this relates to NDTR, which does not deal with
>> degeneracy at all (or at least does not use that word), is an interesting
>> question.
>>
>> The other surprising feature showed up when I began wondering what the
>> outline of sign types would look like if you reversed the order, i.e. put
>> the most complex trichotomy at the top level and the simplest at the bottom
>> level of the outline. So we begin with the Sign whose Interpretant
>> represents it as a sign of reason:
>>
>>
>>
>>    1. *Argument* (10)
>>    2. Dicisign
>>       1. *Symbolic* (Proposition) (9)
>>       2. Indexical
>>          1. *Legisign* (7)
>>          2. *Sinsign* (4)
>>       3. Rheme
>>       1. *Symbolic* (8) (general term)
>>       2. Indexical
>>          1. *Legisign* (6)
>>          2. *Sinsign* (3)
>>       3. Iconic
>>          1. *Legisign* (5)
>>          2. *Sinsign* (2)
>>          3. *Qualisign* (1)
>>
>>
>>
>> The pattern of subdivision is the same as in the outline and the diagram
>> above. (Is that surprising?)
>>
>> Taken together, the two outlines above show (somewhat more clearly than
>> the familiar triangle diagram) why the ten sign types have to include 6
>> Legisigns and 6 Rhemes, 3 Sinsigns and 3 Indexes, and only one Qualisign
>> and one Argument. But then this counts only the “normal” sign types and not
>> the “peculiar” types which are “involved” in more complex signs or
>> “replicate” them, etc. I’ll leave those for another day …
>>
>>
>>
>> Gary f.
>>
>>
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