Frances to Claudio and listers...

Forgive me because this reply is a little late and a little long. It
deals mainly with color as a sign and this being a good example of
semiotics in application to the field of visible design.

The attempt here is to explore the use of diagrams as a good means to
partially show the triadic structure of signs, and to address the
failure of any tetradic or polyadic valency for the phenomenal
categories that might be incorporated into any model of signs, and to
probe the collateral experience as being in synechastic representamens
but preexistent to semiosic signs, and then as being embedded in
semiotic representamens as semiosic trichotomies.

The first thing that sighted persons see with their eyes is likely the
color of the object scanned. Since the object "has" color in its form,
it is reasonable to conclude that color is also a sign of the object.
The study of color as a sign is hence held here to be an application
of Peircean semiotics to the field of visible art, to include the
graphic art of pictures and the plastic art of sculptures and the
design of tectonic art as architecture crafted in the built
environment of humans. The term "visible" is deliberately used to
imply artifacts that are seen by the eyes of sighted persons in the
optical and ocular sense. The term "visual" on the other hand is
avoided, because it implies that even the congenitally blind person
can experience colors visually as a mental vision, so that color for
them would not be tethered by any sense modality, and this may
complicate or frustrate the present theory of color signs.

This discussion is a critical review and analytical judgement of the
semiotic nonagon, which is an attempt to formalize the study of
architecture as a sign, including the tectural property of color. The
nonagon is an iconic diagram of a hypothetical color theory. This icon
is a transformed abstraction of the theory as an object, whose
features must be pertinent, so as to be immediately observed by sense
and directly suspected as true. The diagram is likely necessary to
reason about the theory. Its content and meaning however may be an
objective material construct, or a subjective mental construct.

The discussion here also explores whether color as a sign can be
posited in a complex diagram like a tetradic model of quadrants, to
include the collateral recognizant or agnoscent as a final entity. The
basis of approaching color semiosis tetradically is thus found in the
semiotic nonagon. The older nonagon box of nine slots, which is a
triadic matrix, would then be replaced if it happened with a newer
polygon box of sixteen slots, which is a tetradic matrix.

This new approach is assumed an attempt to correct the existing
trichotomic structure of semiotics, which is derived from the
phenomenal categories of realist pragmatism. This tern would initially
be replaced with a broader polyadic structure using a pair of
dichotomies with poles, but connected as a tetrad of four quadrants.
If the tetradic matrix itself however is further built as a
tetrichotomy the result would yield a complex of fourteen classes, as
opposed to the ten classes emerging from a trichotomy. This would
yield a complex structure of signs for color or any other form, and
likely an unwieldy disordered one.

The initial guess here is that this is not a viable or necessary
alternative, because the trichotomic categories are already firmly
established in the whole philosophic system as built by pragmatists,
and because the collateral experience of signers can be accounted for
synechastically, or neatly incorporated into semiosis semiotically
without expanding the categoric structure of signs. In fact, every
attempted argument used to warrant a fourth category or valency for
signs, in order to permit the collateral experience, could easily be
explained and justified by tridential categorics and semiotics. In any
event, no valency greater than a tern is allowed in semiotics.


The structures used for explaining the existence of potential forms in
semiosis, like colors and shapes in action as signs, is currently
presented under several theories in diagrammatic models, such as
monadic wholes and dyadic poles and triadic points and tetradic
quadrants, including that of matrixes and tables. One familiar
analytical model of this kind in particular is the semiotic nonagon.
It is structured tridentially, making it consistent with the
phenomenal categories of realist pragmatism. The current nonagon is an
attempt to apply semiotics as an operative tool for planners in the
actual practice of architectural design. The suggested task here is to
probe whether the map of color as a sign can be better structured as a
new tetradic table by adding a fourth category in the diagram, rather
than by keeping the usual triadic table. The new slot would embrace
the experiential recognition of color within semiosis, which had been
previously held as collateral to semiosis.

It should however be pointed out that if an empty class holder as a
genus umbrella is admitted in semiosis, then the category of zeroness
in effect becomes the fourth category. For example, under the genus of
"signs" would fall the member species of first "icons" and second
"indexes" and third "symbols" and then even further subclasses of
other subordinate signs. The fundamental structure of any complete
trichotomic category in fact would have ten classes filled with
members. In other words, under the class of sign there is one kind of
icon, but two kinds of index, yet three kinds of symbol.

Viewed from another perspective, the four classes of a full trident
with its empty class holder included could be held as a set of
isolated dyads, in that with "0:1+2=3" the firsts and seconds are
always correlated and thus conform, but the zeros and thirds are
always marginal and thus collateral to the core, and even to one
another. This approach however tends to push the phenomenal
categorization of classes to a narrow and unusual extreme. Viewed from
yet another biosemiotic perspective, a fourth factor or class might be
obtained by connecting a pair of linear triadic terns together at
their extreme points, thereby forming a fourth member between the pair
as a set, but this approach could become confused when the set
attempts to accommodate further sets and interpretants. In effect, it
would simply make a multiple polyadic plurality of triadic sets
meandering randomly along.

The semiotic square has also been recruited as a candidate in an
attempt to prove tetradicity. The four quadrants of a tetrad however
must form sets of dyads, either horizontally or vertically, unless the
quadrants are also allowed to relate diagonally, thereby in essence
forming pseudo tridents of a quasi or proto kind. The problem in
applying the semiotic square to pragmatist signs, where the four
points of the square are signs and objects and interpretants and
recognizants, is in determining what sets of poles are contradictory
and contrary and complimentary. If as semiotics insists, the object
determines the sign and the sign determines the interpretant, then the
interpretant must determine the recognizant, thus semiosis actually
disallows to the square any diagonal contrariety, and thus any
triadicity. Furthermore, the square seemingly allows all points to
determine by contradiction or contrariety or compliment the
recognizant, which semiotics would clearly disallow.

In any event, a monadic or unilateral model of signs would be
categorically unacceptable, but a dyadic or tetradic model would best
serve the structuralist thrusts of francoeuropean semiologics, while
only a triadic or trichotomic model would best serve the pragmatist
thrusts of angloamerican semiotics. This fuss is also mainly over the
forming and framing and fusing of form alone, which furthermore takes
little into account on the finding of factual content that will go to
filling the models, with the final goal of their attaining some force
in purposive action.

When color is treated as the sole object of some interest in the world
of pragmatist semiosis, as it very well can be but as more than only
form, then color alone is considered trichotomically from the
perspective of semiotics with its grand Peircean divisions of roughly
grammatics and critics and rhetorics, and each of these with their
main dimensions of firsts and seconds and thirds, which dimensional
labels are roughly those of Morrisean syntactics and semantics and
pragmatics. The falling of color entities into such a tridential sign
model and filling its slots seems almost natural, as opposed to an
arbitrary tetradic fitting. In regard to the grammatic subclass called
syntax or syntaxics, it is understood to be a species of grammatic
semantics or immediate objects, and would fall within legisigns
therein aligned with types and codes and raw semes. It would go to the
rules of say combinatory composition. The key point is that syntaxics
is not a mere synonym for or part of syntactics.


The treatment of color in the semiotic nonagon holds color to be a
utility in the service of design. Color was posited in this diagram
mainly for collegiate purposes of academic analysis, because it was
felt by the scholarly builders of the nonagon that the issue of color
in theorice and practice at the time was confused. The holding of
color as a sign and showing it in a graph seemed to partially resolve
this concern for them. The least use that the graph might be put to
was envisioned as a tool, to be used by artists in the right search
for the best paths to their good goals.

The initial sets of criteria that tend to organize color in the graph
were reportedly culled from various international schools of design,
notably the Bauhaus successor at Ulm in West Germany. These criteria
were eventually correlated in a systemic manner that reflected the
semiotic structure of signs as posited by several of its semioticians
and theorists. The operation of combining the list of criteria
resulted in a table of features grouped as properties and processes
and products, and then as purposes and places and prices. The graph
was subsequently fated to predicate and predict and prescribe the work
of art in design and action.

Needless to say that the initial attempts at labelling the slots of
any given table emerged as inadequate and inappropriate, at least in
regard to pragmatist semiotics. The nonagon in general is hence
seemingly a tentative project in continuous progress. Indeed, it may
be the case that several nonagon diagrams in the form of poles and
quadrants and charts and maps and graphs and matrixes and tables and
models may eventually be required. The assumption here is that the
optimum solution would be to posit a master diagram as a mold showing
the global labels as applicable to all of semiotics at large, with at
least three slave diagrams showing the global labels applicable to
specific divisions or subordinate dimensions of semiotics.

This diagrammatic approach is reminiscent of the work posited by the
American anthropologist Edward Hall some fifty years ago. His matrix
of cultural identifiers was crafted for example as the silent language
and the hidden dimensions of nonlingual signs in societies. His
identifiers he called "primary message systems" of which he posited
ten kinds in three main sets of tridents, and then aligned them as a
matrix yielding one hundred slotted boxes. The systems in rough terms
include time and space as their base, then school and play and
defense, with group and sex and work, then usage and sign. The
component parts of each message he called isolates and sets and
patterns, which in linguistic grammar are like sounds and words and
sentences. The levels of each message he called informal and technical
and formal. This structure of systems and parts and levels is mainly
tridential, although it is unknown by me whether he attributed this to
any Peircean influence. He also wrote about the "fourth" dimension of
architecture in regard to the built environment impacting on the
behavior of humans in their cultures. The three spatial or territorial
dimensions of proxemic length are width and height and depth. The one
temporal dimension of chronemic breadth is time. The point here is
that it takes time to even visibly scan an edifice, let alone enter
and utilize it. This approach seems to be a tetradic structure that
also includes a recognizant of sorts.

In any event, the drafted term "nonagon" exposes an engineered bias,
which perhaps is in keeping with the practical and utile aspects of
the table, as opposed to the rational and logical aspects of semiotics
as an eventual probability for signs. In semiotics, it is indeed held
that all necessary reasoning is diagrammatic, which however only
implies that all intellectual thought is so, to the possible exclusion
of all practical thought. It is also not clear whether reasoning
whether necessary of not can be nondiscursive.

The nonagon diagram however is perhaps more of a procedural matrix
than a model. The current variations of nonagons as matrix tables all
have the core labels of "form" and "existence" and "value" attached to
their dual terns. The advancing variations of nonagons that treat
color with these labels then deal first with (1) the basic form
elements, and next with (2) the necessity of color for humans in the
performance of design, and last with (3) the elaborated criteria of
color that amplifies its treatment.

Any attempt by schools of art and design to model the whole of
semiotics as some version of representamens and objects and
interpretants will fail, because these terms or labels convey only the
first grammatic part of semiotics. It may however be possible that the
whole of signs could fall under this limited sort of tern for purposes
of identity and orientation, but only if critics and rhetorics as the
second and third parts of semiotics are deemed to bear or yield
interpretants of varying kinds. To justify this condensed approach to
the holistic diagramming of signs, it would seem that all three parts
or divisions of semiotics do have some features in common. They all
have tridential layers for example in the form of say syntactics and
semantics and pragmatics, and each of these dimensions of the
divisions is seemingly a further tern of immediate and dynamic and
final stages.

The overall semiotic levels and core labels of the main nonagon matrix
might better be called informative grammatical forms, and evaluative
critical facts, and evocative rhetorical forces. Each of these
divisions as grammatic forms and critic facts and rhetoric forces
could then be correlated with the dimensions of syntactic figures, and
semantic frames with grounds, and pragmatic fields. In making a
descriptive diagrammatic nonagon that might be truly reflective of
signs, it might therefore be best to start with the terms of
categorics and semiotics as the external basis, and then take the
terms of design and color as fillers of the internal slots.

The more appropriate classes and labels for the nonagon matrix at the
antecedent or elementary level of color might be culled from
pragmatist grammatics, and called fundamental vehicles of syntactic
representation, and referential contents of semantic referention, and
instrumental effects of pragmatic interpretation. This level would
likely go to the essences attributed by nature to tones of color.

The classes and labels at the subsequent or factual and existential
level might be culled from pragmatist critics, and called syntactic
values, and semantic meanings like contents and subjects, and
pragmatic worths like inferred judgements. The class of value for
example and as an interpretant that satisfies semiosic drives would
then be an initial syntactic species of critical fact, where it is
held immediately that an object has value relative to a material or
technical need, aside from any ethical concerns of just morals and
right deeds. In other words, the value ought to be pertinent to the
semiotic need, regardless of whether the need is bad or good. This
level would likely go to the existent substances manifested to sense
by tokens of color.

The classes and labels at the consequent or humanal and communal and
cultural level of color, to include the social and institutional
level, might be culled from pragmatist rhetorics, and called the
syntactic means of communication, and the semantic modes of
signification like contexts and functions, and the pragmatic methods
of signation like intents and purposes and responses. This level would
likely go to the presences of signs as exemplified in mind by types of
color.

In regard to any discrete criteria likely needed for treating color in
a diagrammatic form, the many sign classes of semiotics across all its
divisions and dimensions might be used profitably for analytical
purposes. To be categorically consistent as a phenomenal trichotomy,
such a nonagon box however must fill only six of its internal slots,
rather than all nine slots. In some boxes the filling at the top of
the matrix will start horizontally and progress to the right, while in
others it will start at the left vertically and progress down to the
bottom. There is an irony here in that the most filled rows and
columns of the matrix will be its firsts and thirds. With the
grammatic division for example, immediacy is a first but with three
left dimensional slots filled, yet finality is a third but with only
one right and last dimensional slot filled.

In some instances of categorical diagramming, where the semiotic
square is used either dyadically or tetradically, the effects of the
diagonal might dominate. If for example the upper poles are formal and
instrumental or even emotional and intellectual, and the lower poles
are aesthetical and logical, then vertically the formal and
aesthetical are complementary, while diagonally the formal and logical
are contrary but not contradictory, although in some rational venues
they are often preferred as compliments.

What must be avoided in the building of the criteria however is any
kind of subjective psychologism in the global sense, as well as any
undue influence from the arenas of say art or religion or tech or
history, because the basis of semiotic color after all is as an
objective independent sign acting out of phenomenal representation.

Under semiotics for example, a dark dull red color representing a
figure framed in say the ground of a pictural depiction will seem
close and heavy and warm to the signer, yet not out of any perceptual
scan of the color, but rather because the form of that color to any
sense will seem close and heavy and warm by mere iconic similarity of
its resemblant appearance. The depth and weight and therm of the color
will of course be sensed, but the color in being signed and assigned
or reassigned is what matters semiotically. The main reason for design
to study color as a sign in the field of semiotics, as opposed to
color as some other thing in another field, is that the contents and
effects of its forms are representative icons.


The present application of the nonagon as currently set by its
builders is to mainly solve the problems of industrial product design
as they surface, and to yield a satisfactory resolution or closure.
One key issue to address here initially however turns on exactly what
the information might be that any color as a sign can bear or yield,
and the conceivable consequences of these acts. The nonagon after all
is expected to facilitate adopted choices made by designers engaged in
the act of art.

The fact of color can be found in such acts as art and tech and
science. The treatment of color as an object of science would be
considered from stances that are formal and natural and social. While
the semiotic theory of signs is fundamentally a formal science of
general philosophy, the theory is used variously to define objects in
nature and to apply signs in culture. These positions could be used
profitably to construct any diagrammatic polygon, regardless of its
complexity or intensity or simplicity, and then to compose and
correlate its component elements, which can be culled from numerous
sources. These sources of criteria might include philosophy and all
the sciences, not to forget linguistics and semiotics or logics. Once
a list of criteria is compiled, then the task remains to edit it. The
most advanced nonagon that incorporates such a list is a tridential
matrix of three vertical columns with nine horizontal rows, which
yields 27 slots of criteria. This is good as far as it goes, but it
fails to go far enough to satisfy the categoric needs of semiotics,
which must also be trichotomic, and not simply triadic.

The semiotic world of nonagon color is seemingly a holistic system of
holistic systems or classified criteria, where each systemic class
when selected by a designer advances and expands and progresses by
overlapping with other systemic classes that precede and succeed it.
This heterogeneous growth is the result of dynamic and energetic
actions, caused by adeptive chances and adaptive changes and adoptive
choices in the design process. The selection made from the diagram is
a presupposed hypothesis based mainly on good experiential guesses.
The criteria and classes and systems however do not operate
independently or homogeneously in isolation of each other, but rather
tend to form a combinatory whole. How good the outcome will be depends
partly on the pertinent contents of the criteria. If it is rich, say
synchronically and diachronically and geochronically for example, then
the final holistic system selected may be a candidate for
implementation. If on the other hand the criteria are somewhat
arbitrary and not fully pertinent, then the final holistic system they
yield may fail to satisfy the needs of design.

With the current amplified nonagon in particular, the broad systemic
criteria are roughly classed coordinately as syntactic form and
semantic existence and pragmatic value, and subordinately as iconic
theory and indexic reality and symbolic potentiality. The specific
members falling within each categoric class however often seem
inadequate or inappropriate. This nonagon is not reflective of
semiosis or semiotics at their categorical fullest and broadest. At
best, it is a display of intermediate dynamic objects as core signs,
which lay in their semantic dimension alone, and then in only one
grammatical division of semiotics. They are then forced to fit other
criteria into themselves, which too often are without relevance or
pertinence. In the absence of any critical or rhetorical criteria,
this limited system of classes and members must fail. In its defense,
it is a welcome step on the best path in the right direction leading
toward a good end goal. The energy already exerted in this effort is
certainly warranted and justified.

The rhetorical consequence is simply the empowered force that signs
are eventually endowed with by say syntactic communication and
semantic signification and pragmatic signation in their attempt to
attain some end goal. Without the rhetorical evocation the sign may
yield, the grammatical information the sign may bear, and even the
critical evaluation the sign may endure, will remain within semiosis
but only in a crude static state. The sign as such a limited systemic
class would be homogeneous, and thus stagnant.


In tridential semiotics, the referred object determines the main kind
a represented sign will be in each situation of semiosis, as an icon
or index or symbol. The sign then determines the interpretant effect.
If an experiential recognizant or agnoscent is to be held present in
such acts of semiosis, then it would be collateral to the act; but it
is not clear whether it would be preparatory to it, or contributory to
it, or consummatory of it. It is nonetheless clear that the combined
tridential tern of semiosis does not determine the collateral
experience, nor would it be a consequence of the sign act. It might
however be defined sequentially as a further interpretant effect of
the act. If on the other hand the preexistent and preparatory
collateral experience were held to determine the tern, likely starting
with the kind an object will be, and perhaps to even determine the act
of semiosis itself, then it would be part of synechastics, and not
part of semiotics.

Under rhetorics, and after its communicative means are settled, the
sign is empowered further with force by its significative modes, which
dyadically entails its locus or location and then its focus or
function and mission. These modes are then contributory to its
signative methods by which responses are determined. If the
recognizant or agnoscent is to be held here rhetorically, and it must
be held only here if it is to be part of semiosis, then it would
likely be as a methodic reaction and a collateral one drifting beyond
rhetorics and semiotics and the formal arena of the world into the
natural and cultural arenas of the world. As a part of rhetorics it is
isolated from grammatics, and thus not equated with representative
signs or referential objects or interpretive effects.

Unlimited sequential semiosis may of course constitute the recognizant
as a further interpretant, but whether nonhuman animals have
recognizants for say purposes of survival is unknown to me. A similar
query could be offered in regard to color as a sign, as to whether it
must be considered when designers deal with both human and nonhuman
users of buildings.

It is not clear how vast an application the semiotic nonagon ought to
be put to, in the sense of whether its objects should embrace the
signs of nonhuman organisms, and indeed if color and design should
include the whole biotic world. If the nonagon and design admits for
example insects and animals into its arena, then architecture or the
built environment could not be held the exclusive domain of only
humans. If an edifice furthermore is designed and built as a zoo to
house animals, it is not clear if color should be designed into the
artifactual habitat for the benefit of its main primordial occupants.
Even if the nonagon and design were extended only to humans, the issue
remains whether say a found cave cleaned out and used as a habitat for
example might be deemed the product of design and be architecture; and
aside from whether the object is aesthetic and of art or nonart.

The semiotic nonagon is seemingly an attempt to represent a global
class of object called architecture, into which might fall all the
token members that have some tonal properties in common. If this lofty
goal is so, the further issue is whether that normal class holder is
an objective material construct that exists in some ontic arena of the
world independent of life and sense and mind; or whether it is a
subjective mental construct that exists only as a notion in the
nominal mind of normal humans. If the typical class in waiting were
found empty of token members, the further musement is whether the type
would still exist as a global object at all.

Color Signs
Semiotic Applications to Visible Designs

The attempt here is to explore the use of diagrams as a good means to
partially show the triadic structure of signs, and to address the
failure of any tetradic or polyadic valency for the phenomenal
categories that might be incorporated into any model of signs, and to
probe the collateral experience as being in synechastic representamens
but preexistent to semiosic signs, and then as being embedded in
semiotic representamens as semiosic trichotomies.

The first thing that sighted persons see with their eyes is likely the
color of the object scanned. Since the object "has" color in its form,
it is reasonable to conclude that color is also a sign of the object.
The study of color as a sign is hence held here to be an application
of Peircean semiotics to the field of visible art, to include the
graphic art of pictures and the plastic art of sculptures and the
design of tectonic art as architecture crafted in the built
environment of humans. The term "visible" is deliberately used to
imply artifacts that are seen by the eyes of sighted persons in the
optical and ocular sense. The term "visual" on the other hand is
avoided, because it implies that even the congenitally blind person
can experience colors visually as a mental vision, so that color for
them would not be tethered by any sense modality, and this may
complicate or frustrate the present theory of color signs.

This discussion is a critical review and analytical judgement of the
semiotic nonagon, which is an attempt to formalize the study of
architecture as a sign, including the tectural property of color. The
nonagon is an iconic diagram of a hypothetical color theory. This icon
is a transformed abstraction of the theory as an object, whose
features must be pertinent, so as to be immediately observed by sense
and directly suspected as true. The diagram is likely necessary to
reason about the theory. Its content and meaning however may be an
objective material construct, or a subjective mental construct.

The discussion here also explores whether color as a sign can be
posited in a complex diagram like a tetradic model of quadrants, to
include the collateral recognizant or agnoscent as a final entity. The
basis of approaching color semiosis tetradically is thus found in the
semiotic nonagon. The older nonagon box of nine slots, which is a
triadic matrix, would then be replaced if it happened with a newer
polygon box of sixteen slots, which is a tetradic matrix.

This new approach is assumed an attempt to correct the existing
trichotomic structure of semiotics, which is derived from the
phenomenal categories of realist pragmatism. This tern would initially
be replaced with a broader polyadic structure using a pair of
dichotomies with poles, but connected as a tetrad of four quadrants.
If the tetradic matrix itself however is further built as a
tetrichotomy the result would yield a complex of fourteen classes, as
opposed to the ten classes emerging from a trichotomy. This would
yield a complex structure of signs for color or any other form, and
likely an unwieldy disordered one.

The initial guess here is that this is not a viable or necessary
alternative, because the trichotomic categories are already firmly
established in the whole philosophic system as built by pragmatists,
and because the collateral experience of signers can be accounted for
synechastically, or neatly incorporated into semiosis semiotically
without expanding the categoric structure of signs. In fact, every
attempted argument used to warrant a fourth category or valency for
signs, in order to permit the collateral experience, could easily be
explained and justified by tridential categorics and semiotics. In any
event, no valency greater than a tern is allowed in semiotics.


The structures used for explaining the existence of potential forms in
semiosis, like colors and shapes in action as signs, is currently
presented under several theories in diagrammatic models, such as
monadic wholes and dyadic poles and triadic points and tetradic
quadrants, including that of matrixes and tables. One familiar
analytical model of this kind in particular is the semiotic nonagon.
It is structured tridentially, making it consistent with the
phenomenal categories of realist pragmatism. The current nonagon is an
attempt to apply semiotics as an operative tool for planners in the
actual practice of architectural design. The suggested task here is to
probe whether the map of color as a sign can be better structured as a
new tetradic table by adding a fourth category in the diagram, rather
than by keeping the usual triadic table. The new slot would embrace
the experiential recognition of color within semiosis, which had been
previously held as collateral to semiosis.

It should however be pointed out that if an empty class holder as a
genus umbrella is admitted in semiosis, then the category of zeroness
in effect becomes the fourth category. For example, under the genus of
"signs" would fall the member species of first "icons" and second
"indexes" and third "symbols" and then even further subclasses of
other subordinate signs. The fundamental structure of any complete
trichotomic category in fact would have ten classes filled with
members. In other words, under the class of sign there is one kind of
icon, but two kinds of index, yet three kinds of symbol.

Viewed from another perspective, the four classes of a full trident
with its empty class holder included could be held as a set of
isolated dyads, in that with "0:1+2=3" the firsts and seconds are
always correlated and thus conform, but the zeros and thirds are
always marginal and thus collateral to the core, and even to one
another. This approach however tends to push the phenomenal
categorization of classes to a narrow and unusual extreme. Viewed from
yet another biosemiotic perspective, a fourth factor or class might be
obtained by connecting a pair of linear triadic terns together at
their extreme points, thereby forming a fourth member between the pair
as a set, but this approach could become confused when the set
attempts to accommodate further sets and interpretants. In effect, it
would simply make a multiple polyadic plurality of triadic sets
meandering randomly along.

The semiotic square has also been recruited as a candidate in an
attempt to prove tetradicity. The four quadrants of a tetrad however
must form sets of dyads, either horizontally or vertically, unless the
quadrants are also allowed to relate diagonally, thereby in essence
forming pseudo tridents of a quasi or proto kind. The problem in
applying the semiotic square to pragmatist signs, where the four
points of the square are signs and objects and interpretants and
recognizants, is in determining what sets of poles are contradictory
and contrary and complimentary. If as semiotics insists, the object
determines the sign and the sign determines the interpretant, then the
interpretant must determine the recognizant, thus semiosis actually
disallows to the square any diagonal contrariety, and thus any
triadicity. Furthermore, the square seemingly allows all points to
determine by contradiction or contrariety or compliment the
recognizant, which semiotics would clearly disallow.

In any event, a monadic or unilateral model of signs would be
categorically unacceptable, but a dyadic or tetradic model would best
serve the structuralist thrusts of francoeuropean semiologics, while
only a triadic or trichotomic model would best serve the pragmatist
thrusts of angloamerican semiotics. This fuss is also mainly over the
forming and framing and fusing of form alone, which furthermore takes
little into account on the finding of factual content that will go to
filling the models, with the final goal of their attaining some force
in purposive action.

When color is treated as the sole object of some interest in the world
of pragmatist semiosis, as it very well can be but as more than only
form, then color alone is considered trichotomically from the
perspective of semiotics with its grand Peircean divisions of roughly
grammatics and critics and rhetorics, and each of these with their
main dimensions of firsts and seconds and thirds, which dimensional
labels are roughly those of Morrisean syntactics and semantics and
pragmatics. The falling of color entities into such a tridential sign
model and filling its slots seems almost natural, as opposed to an
arbitrary tetradic fitting. In regard to the grammatic subclass called
syntax or syntaxics, it is understood to be a species of grammatic
semantics or immediate objects, and would fall within legisigns
therein aligned with types and codes and raw semes. It would go to the
rules of say combinatory composition. The key point is that syntaxics
is not a mere synonym for or part of syntactics.


The treatment of color in the semiotic nonagon holds color to be a
utility in the service of design. Color was posited in this diagram
mainly for collegiate purposes of academic analysis, because it was
felt by the scholarly builders of the nonagon that the issue of color
in theorice and practice at the time was confused. The holding of
color as a sign and showing it in a graph seemed to partially resolve
this concern for them. The least use that the graph might be put to
was envisioned as a tool, to be used by artists in the right search
for the best paths to their good goals.

The initial sets of criteria that tend to organize color in the graph
were reportedly culled from various international schools of design,
notably the Bauhaus successor at Ulm in West Germany. These criteria
were eventually correlated in a systemic manner that reflected the
semiotic structure of signs as posited by several of its semioticians
and theorists. The operation of combining the list of criteria
resulted in a table of features grouped as properties and processes
and products, and then as purposes and places and prices. The graph
was subsequently fated to predicate and predict and prescribe the work
of art in design and action.

Needless to say that the initial attempts at labelling the slots of
any given table emerged as inadequate and inappropriate, at least in
regard to pragmatist semiotics. The nonagon in general is hence
seemingly a tentative project in continuous progress. Indeed, it may
be the case that several nonagon diagrams in the form of poles and
quadrants and charts and maps and graphs and matrixes and tables and
models may eventually be required. The assumption here is that the
optimum solution would be to posit a master diagram as a mold showing
the global labels as applicable to all of semiotics at large, with at
least three slave diagrams showing the global labels applicable to
specific divisions or subordinate dimensions of semiotics.

This diagrammatic approach is reminiscent of the work posited by the
American anthropologist Edward Hall some fifty years ago. His matrix
of cultural identifiers was crafted for example as the silent language
and the hidden dimensions of nonlingual signs in societies. His
identifiers he called "primary message systems" of which he posited
ten kinds in three main sets of tridents, and then aligned them as a
matrix yielding one hundred slotted boxes. The systems in rough terms
include time and space as their base, then school and play and
defense, with group and sex and work, then usage and sign. The
component parts of each message he called isolates and sets and
patterns, which in linguistic grammar are like sounds and words and
sentences. The levels of each message he called informal and technical
and formal. This structure of systems and parts and levels is mainly
tridential, although it is unknown by me whether he attributed this to
any Peircean influence. He also wrote about the "fourth" dimension of
architecture in regard to the built environment impacting on the
behavior of humans in their cultures. The three spatial or territorial
dimensions of proxemic length are width and height and depth. The one
temporal dimension of chronemic breadth is time. The point here is
that it takes time to even visibly scan an edifice, let alone enter
and utilize it. This approach seems to be a tetradic structure that
also includes a recognizant of sorts.

In any event, the drafted term "nonagon" exposes an engineered bias,
which perhaps is in keeping with the practical and utile aspects of
the table, as opposed to the rational and logical aspects of semiotics
as an eventual probability for signs. In semiotics, it is indeed held
that all necessary reasoning is diagrammatic, which however only
implies that all intellectual thought is so, to the possible exclusion
of all practical thought. It is also not clear whether reasoning
whether necessary of not can be nondiscursive.

The nonagon diagram however is perhaps more of a procedural matrix
than a model. The current variations of nonagons as matrix tables all
have the core labels of "form" and "existence" and "value" attached to
their dual terns. The advancing variations of nonagons that treat
color with these labels then deal first with (1) the basic form
elements, and next with (2) the necessity of color for humans in the
performance of design, and last with (3) the elaborated criteria of
color that amplifies its treatment.

Any attempt by schools of art and design to model the whole of
semiotics as some version of representamens and objects and
interpretants will fail, because these terms or labels convey only the
first grammatic part of semiotics. It may however be possible that the
whole of signs could fall under this limited sort of tern for purposes
of identity and orientation, but only if critics and rhetorics as the
second and third parts of semiotics are deemed to bear or yield
interpretants of varying kinds. To justify this condensed approach to
the holistic diagramming of signs, it would seem that all three parts
or divisions of semiotics do have some features in common. They all
have tridential layers for example in the form of say syntactics and
semantics and pragmatics, and each of these dimensions of the
divisions is seemingly a further tern of immediate and dynamic and
final stages.

The overall semiotic levels and core labels of the main nonagon matrix
might better be called informative grammatical forms, and evaluative
critical facts, and evocative rhetorical forces. Each of these
divisions as grammatic forms and critic facts and rhetoric forces
could then be correlated with the dimensions of syntactic figures, and
semantic frames with grounds, and pragmatic fields. In making a
descriptive diagrammatic nonagon that might be truly reflective of
signs, it might therefore be best to start with the terms of
categorics and semiotics as the external basis, and then take the
terms of design and color as fillers of the internal slots.

The more appropriate classes and labels for the nonagon matrix at the
antecedent or elementary level of color might be culled from
pragmatist grammatics, and called fundamental vehicles of syntactic
representation, and referential contents of semantic referention, and
instrumental effects of pragmatic interpretation. This level would
likely go to the essences attributed by nature to tones of color.

The classes and labels at the subsequent or factual and existential
level might be culled from pragmatist critics, and called syntactic
values, and semantic meanings like contents and subjects, and
pragmatic worths like inferred judgements. The class of value for
example and as an interpretant that satisfies semiosic drives would
then be an initial syntactic species of critical fact, where it is
held immediately that an object has value relative to a material or
technical need, aside from any ethical concerns of just morals and
right deeds. In other words, the value ought to be pertinent to the
semiotic need, regardless of whether the need is bad or good. This
level would likely go to the existent substances manifested to sense
by tokens of color.

The classes and labels at the consequent or humanal and communal and
cultural level of color, to include the social and institutional
level, might be culled from pragmatist rhetorics, and called the
syntactic means of communication, and the semantic modes of
signification like contexts and functions, and the pragmatic methods
of signation like intents and purposes and responses. This level would
likely go to the presences of signs as exemplified in mind by types of
color.

In regard to any discrete criteria likely needed for treating color in
a diagrammatic form, the many sign classes of semiotics across all its
divisions and dimensions might be used profitably for analytical
purposes. To be categorically consistent as a phenomenal trichotomy,
such a nonagon box however must fill only six of its internal slots,
rather than all nine slots. In some boxes the filling at the top of
the matrix will start horizontally and progress to the right, while in
others it will start at the left vertically and progress down to the
bottom. There is an irony here in that the most filled rows and
columns of the matrix will be its firsts and thirds. With the
grammatic division for example, immediacy is a first but with three
left dimensional slots filled, yet finality is a third but with only
one right and last dimensional slot filled.

In some instances of categorical diagramming, where the semiotic
square is used either dyadically or tetradically, the effects of the
diagonal might dominate. If for example the upper poles are formal and
instrumental or even emotional and intellectual, and the lower poles
are aesthetical and logical, then vertically the formal and
aesthetical are complementary, while diagonally the formal and logical
are contrary but not contradictory, although in some rational venues
they are often preferred as compliments.

What must be avoided in the building of the criteria however is any
kind of subjective psychologism in the global sense, as well as any
undue influence from the arenas of say art or religion or tech or
history, because the basis of semiotic color after all is as an
objective independent sign acting out of phenomenal representation.

Under semiotics for example, a dark dull red color representing a
figure framed in say the ground of a pictural depiction will seem
close and heavy and warm to the signer, yet not out of any perceptual
scan of the color, but rather because the form of that color to any
sense will seem close and heavy and warm by mere iconic similarity of
its resemblant appearance. The depth and weight and therm of the color
will of course be sensed, but the color in being signed and assigned
or reassigned is what matters semiotically. The main reason for design
to study color as a sign in the field of semiotics, as opposed to
color as some other thing in another field, is that the contents and
effects of its forms are representative icons.


The present application of the nonagon as currently set by its
builders is to mainly solve the problems of industrial product design
as they surface, and to yield a satisfactory resolution or closure.
One key issue to address here initially however turns on exactly what
the information might be that any color as a sign can bear or yield,
and the conceivable consequences of these acts. The nonagon after all
is expected to facilitate adopted choices made by designers engaged in
the act of art.

The fact of color can be found in such acts as art and tech and
science. The treatment of color as an object of science would be
considered from stances that are formal and natural and social. While
the semiotic theory of signs is fundamentally a formal science of
general philosophy, the theory is used variously to define objects in
nature and to apply signs in culture. These positions could be used
profitably to construct any diagrammatic polygon, regardless of its
complexity or intensity or simplicity, and then to compose and
correlate its component elements, which can be culled from numerous
sources. These sources of criteria might include philosophy and all
the sciences, not to forget linguistics and semiotics or logics. Once
a list of criteria is compiled, then the task remains to edit it. The
most advanced nonagon that incorporates such a list is a tridential
matrix of three vertical columns with nine horizontal rows, which
yields 27 slots of criteria. This is good as far as it goes, but it
fails to go far enough to satisfy the categoric needs of semiotics,
which must also be trichotomic, and not simply triadic.

The semiotic world of nonagon color is seemingly a holistic system of
holistic systems or classified criteria, where each systemic class
when selected by a designer advances and expands and progresses by
overlapping with other systemic classes that precede and succeed it.
This heterogeneous growth is the result of dynamic and energetic
actions, caused by adeptive chances and adaptive changes and adoptive
choices in the design process. The selection made from the diagram is
a presupposed hypothesis based mainly on good experiential guesses.
The criteria and classes and systems however do not operate
independently or homogeneously in isolation of each other, but rather
tend to form a combinatory whole. How good the outcome will be depends
partly on the pertinent contents of the criteria. If it is rich, say
synchronically and diachronically and geochronically for example, then
the final holistic system selected may be a candidate for
implementation. If on the other hand the criteria are somewhat
arbitrary and not fully pertinent, then the final holistic system they
yield may fail to satisfy the needs of design.

With the current amplified nonagon in particular, the broad systemic
criteria are roughly classed coordinately as syntactic form and
semantic existence and pragmatic value, and subordinately as iconic
theory and indexic reality and symbolic potentiality. The specific
members falling within each categoric class however often seem
inadequate or inappropriate. This nonagon is not reflective of
semiosis or semiotics at their categorical fullest and broadest. At
best, it is a display of intermediate dynamic objects as core signs,
which lay in their semantic dimension alone, and then in only one
grammatical division of semiotics. They are then forced to fit other
criteria into themselves, which too often are without relevance or
pertinence. In the absence of any critical or rhetorical criteria,
this limited system of classes and members must fail. In its defense,
it is a welcome step on the best path in the right direction leading
toward a good end goal. The energy already exerted in this effort is
certainly warranted and justified.

The rhetorical consequence is simply the empowered force that signs
are eventually endowed with by say syntactic communication and
semantic signification and pragmatic signation in their attempt to
attain some end goal. Without the rhetorical evocation the sign may
yield, the grammatical information the sign may bear, and even the
critical evaluation the sign may endure, will remain within semiosis
but only in a crude static state. The sign as such a limited systemic
class would be homogeneous, and thus stagnant.


In tridential semiotics, the referred object determines the main kind
a represented sign will be in each situation of semiosis, as an icon
or index or symbol. The sign then determines the interpretant effect.
If an experiential recognizant or agnoscent is to be held present in
such acts of semiosis, then it would be collateral to the act; but it
is not clear whether it would be preparatory to it, or contributory to
it, or consummatory of it. It is nonetheless clear that the combined
tridential tern of semiosis does not determine the collateral
experience, nor would it be a consequence of the sign act. It might
however be defined sequentially as a further interpretant effect of
the act. If on the other hand the preexistent and preparatory
collateral experience were held to determine the tern, likely starting
with the kind an object will be, and perhaps to even determine the act
of semiosis itself, then it would be part of synechastics, and not
part of semiotics.

Under rhetorics, and after its communicative means are settled, the
sign is empowered further with force by its significative modes, which
dyadically entails its locus or location and then its focus or
function and mission. These modes are then contributory to its
signative methods by which responses are determined. If the
recognizant or agnoscent is to be held here rhetorically, and it must
be held only here if it is to be part of semiosis, then it would
likely be as a methodic reaction and a collateral one drifting beyond
rhetorics and semiotics and the formal arena of the world into the
natural and cultural arenas of the world. As a part of rhetorics it is
isolated from grammatics, and thus not equated with representative
signs or referential objects or interpretive effects.

Unlimited sequential semiosis may of course constitute the recognizant
as a further interpretant, but whether nonhuman animals have
recognizants for say purposes of survival is unknown to me. A similar
query could be offered in regard to color as a sign, as to whether it
must be considered when designers deal with both human and nonhuman
users of buildings.

It is not clear how vast an application the semiotic nonagon ought to
be put to, in the sense of whether its objects should embrace the
signs of nonhuman organisms, and indeed if color and design should
include the whole biotic world. If the nonagon and design admits for
example insects and animals into its arena, then architecture or the
built environment could not be held the exclusive domain of only
humans. If an edifice furthermore is designed and built as a zoo to
house animals, it is not clear if color should be designed into the
artifactual habitat for the benefit of its main primordial occupants.
Even if the nonagon and design were extended only to humans, the issue
remains whether say a found cave cleaned out and used as a habitat for
example might be deemed the product of design and be architecture; and
aside from whether the object is aesthetic and of art or nonart.

The semiotic nonagon is seemingly an attempt to represent a global
class of object called architecture, into which might fall all the
token members that have some tonal properties in common. If this lofty
goal is so, the further issue is whether that normal class holder is
an objective material construct that exists in some ontic arena of the
world independent of life and sense and mind; or whether it is a
subjective mental construct that exists only as a notion in the
nominal mind of normal humans. If the typical class in waiting were
found empty of token members, the further musement is whether the type
would still exist as a global object at all.



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