Paper presented at the 9th world congress of IASS-AIS Communication: Understanding / Misunderstanding

THE SIGN TREE: FROM SIGN STRUCTURE TO PEIRCE’S PHILOSOPHY THROUGH READING A VISUAL MODEL OF THE 66 CLASSES OF SIGNS

Priscila Monteiro Borgesprimborges@gmail.com

Currently, doctoral student in Communication and Semiotic at

Pontifícia Universidade Católica de São Paulo, PUC/SP, BRAZIL,

advised by Prof. Lucia Santaella. Financed by FAPESP.

Abstract:

This paper intends to show how Peirce’s Semiotic structures itself and connects different branches of his philosophy through the analysis of a visual model of representation of his 66 classes of signs.

Peirce’s theory of signs is very complex and abstract. It is not a specific semiotic and easy to apply, but a fundamental part of his philosophy. The most known classification of signs is the one in which he describes 10 classes of signs. Later he proposed 66 classes of signs and the first classification compared to this seems very simple. Certainly, there are so many details in this later classification that its own complexity makes it hard to work with. Besides that, Peirce had only proposed the logic way to construct it, but had no time to develop it in details as he did with the first classification. These reasons are enough to explain why until now there are not many works written about the topic and so many disagreements between them.

To facilitate the work with so many different classes of signs, a diagram that follows the logic of cenopythagorean categories applied to ten trichotomies was created. The construction of the diagram is important as it can enlighten the many different classes of signs and their relations to each other. The first analysis demonstrates that semiotics is connected in one way, to metaphysic and in another, to pragmatism. And also, that semiotic studies are not simply the description of signs, but a detailed structure that helps to explain a bigger and more complex system: Peirce’s philosophy.

Introduction

Firstly, I would like to thank the opportunity of being here, it’s an immense

pleasure for me to present this paper in a Peirce’s session because this is a

work in progress and I hope sharing it with you may generate some important

discussion and new ideas for the development of the work.

The creation of diagrams to help on explaining Peirce’s Semiotic is a known

practice among semioticists and even Peirce had worked hard on it. He

believed that diagrams were a good way to represent the course of thought

with exactitude1. We can find on his writings many diagrams and different

visual models to explain triadic relations in phenomenology, semiotics and

among classes of signs. Therefore, he had developed together his logic,

called Semiotic, and the Existential Graphis, which are ways of representing

diagrammatically reasoning processes.

As a scientist and philosopher, Peirce has dedicated his studies in many

different subjects, but according to Santaella, the variety of subjects was a

way for studying the logic of science and understanding different types of

reasoning. Therefore, we must take a careful look on the complex structure of

his philosophy in order to see the relations among its branches and should

not treat them as disconnected disciplines. For instance, from his studies of

logic and mathematics he developed the concepts of relation, infinite and

continuum, which are also important concepts for understanding semiotic

process.

In this presentation I will show a 3D model created according to the logic

of cenopythagorean categories applied to ten trichotomies which makes the

66 classes of signs. To begin I will explain how the model was thought and

constructed, and what are the relations between visual elements and the sign

theory. Thus you will see that the model is a description of the 66 classes of

signs. Next, I will analyze the model showing that although it was constructed

to describe and enlighten the different classes of signs and their relations, it is

also possible to see on its form the connections among semiotics, metaphysic

and pragmatism.

Model Construction

Two different classifications were used by Peirce to explain how sign functions.

One according to sign ground called cenopythagorean categories and the

other according to the structure of signs called trichotomies. Together, both

classifications explain logically how signs work. Even though Peirce had passed

long years of his life developing the sign concept, he left the work unfinished.

In his papers we find a very detailed description, in which 10 classes of signs

are produced by the combination of three cenopythagorean categories with

three trichotomies. These 10 classes are the most famous ones. However, in

correspondences to Lady Welb he had developed in detail the structure of

signs and enlarged trichotomies to 10. These 10 trichotomies combined to the

three cenopythagorean categories make possible 66 unlike classes of signs. It

is precisely this combination of ten trichotomies with three cenopythagorean

categories that will be presented here in a visual model. Next, I will explain

the logic of the relations that guide sign theory since it was the ground to

constructing the diagrams.

First, I will introduce the categories of phenomenology- a classification that

is related to sign ground. Peirce in the beginning of his research worked

on observing all phenomenal types trying to find the most general and

fundamental categories of phaneron.

“Firstness is the mode of being of that which is such as it is, positively and

without reference to anything else.

Secondness is the mode of being of that which is such as it is, with respect to

a second but regardless of any third.

Thirdness is the mode of being of that which is such as it is, in bringing a

second and third into relation to each other.

I call these three ideas the cenopythagorean categories. (CP 8.328)”

A relation of dependence is established between the three categories as

follows: firstness is independent of anything, secondness depends on firstness,

and thirdness depends on secondness and firstness.

The construction of the diagram was based on the growing of trees that are

in many aspects associated to sign process. The concept of triad is related to

Firstness

Secondness

Thirdness

Figu

re 1

bifurcation of branches and their growing subjected to the action of time. It

is necessary to pass from one trichotomy to the other. All relations between

them are determining relations, so the antecedent must act on the subsequent.

Antecedent is past, already determined, and subsequent is future, full of

possibility, still undetermined.

Figu

re 2

So, the diagram construction begins by the idea of tree rings. They are used in

dendrocronology to count the age of trees. As years go by rings grow in trees,

but they are also affected by climate factors. More than sign of time, tree rings

show interaction between systems. All these concepts are welcome in semiotic

process. Each ring corresponds to one trichotomy: the first trichotomy comes

in the centre, the second trichotomy in the second ring and so on.

Since there is a determining relation among the rings, in order to start

constructing the diagram of 66 classes of signs a better understanding of the

order of the trichotomies was necessary. It was not easy to decide in which

order the trichotomies should appear, since this is one of the hardest problems

of Peirce’s semiotic scholars. According to QUEIROZ (2002, 87), there are

several different opinions among scholars because of the lack of development

on this subject by Peirce. He did not describe the 66 classes of signs, and

in his papers more than one order to the trichotomies, and reports of doubt

about how to order them are found.

Since there must be a reason to its ordering, initially it seemed logical that the

central ring could represent the ground of Sign because the semiosis process

begins in it. The construction like this would bring some advantages: first, it

would go perfectly in the same way Peirce described semiosis processes and

ordered the ten trichotomies in a letter to Lady Welby (CP 8.344); second, it

emphasizes sign in relation to object, showing that the knowing process begins

in sign.

However, the diagram constructed in this way did not go well with the analyses

Peirce made on the possible relations between ground of sign and immediate

object in the same letter(CP 8.353-365). This happened because in the

diagram the rings are ordered from the center to the border in a determining

relation.

Consequently, since the object determines the sign, and not the sign

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determines the object, it was necessary to put the dynamical object in the

central ring, followed by the immediate object and the ground of sign. Given

the first three correlates, comes the first relation: between sign and dynamical

object. This relation determines the possible interpretants, called immediate

interpretants that when are existent become dynamical interpretants. So,

the elements that compose the second relation are given: between sign and

dynamical interpretant. Moreover, considering that semiosis is an infinite

Figu

re 3

process, comes the place to where tends dynamical interpretant: the final

interpretant and its relation to sign. Finally, given all correlates and all dyadic

relations it is possible to consider the triadic relation among sign, dynamical

object and final interpretant.

Once defined the order of trichotomies we can combine it with the

cenopythagorean categories. The cenopythagorean categories- represented by

spheres, cubes and pyramids- should take a place in every ring, starting from

the central one and following the others according to the logic of categories.

So, if in the first ring there is a sphere, the next one must also be a sphere.

If in the first ring there is a cube, a sphere or a cube could take place in the

second ring. And if in the first ring there is a pyramid, a sphere, a cube or a

pyramid could take place in the following ring.

Figu

re 4

Consequently, the adoption of this trichotomic order stresses the way things

are in reality, and can be a problem if a superficial reader understands that

semiosis begins with a dynamical object. However, knowing that everything

we can tell about the object is what sign shows, human knowledge appears

in the middle of semiotic process and not in its beginning. So, putting the

object in the starting point is a good way of taking man out of the center of

knowledge. More than that, it does make us understand that the knowledge

process is wider than human knowledge and that man cannot acquire the

origin or the end of this process. Putting the object in the starting point is

also in agreement with Peirce’s belief: that there is in fact a reality that does

not depend on what we think of it, allowing us to call him an objective idealist.

It is also in accordance to the concept of semiotic enlargement that takes

the concept of intelligence far beyond human mind. In addition, the center

of the rings represents the backward movement of the object and its border

represents the infinite semiosis. Both create a temporal line similar to the one

seen in trees.

Figu

re 5

The process of constructing the 66 classes of signs shows that signs

themselves are complex structures that can increase when more details are

considered. However, the classes of signs considered on its own and as an

isolated system make semiotics too formal and seems an aimless work. Peirce

was aware of it and did not describe all classes of signs to be considered as an

isolated system. Naming signs do not solve semiotic problems but describing

them in detail makes it possible to understand Peirce’s philosophy. According

to Nadin (Apud SANTAELLA, 2004, p.15), “sign can only be conceived

and interpreted in the range of uncertain logic and with announcement of

continuum doctrine.” This diagram shows both points: in the center, the

incomplete knowledge of dynamic object represents the uncertain beginning.

And in the border, the growing of rings as time passes represents the growing

of thoughts. Interpreting a sign is a process that produces another sign with

the same capacity of being interpreted and creating signs, which brings

semiotics to infinity.

The 2D diagram was used as a guide to constructing the plan and side views,

which generated the 3d model. Both diagrams illustrate in detail the logical

structure of the 66 classes of signs as being a complex system and do not

treat each sign as it were individual and isolated. But it is only in the 3D model

that the relation between semiotics and Peirce’s philosophy comes into sight.

Akin to a tree, the theory of signs must be related to an environment and it

must have some purpose on the growing of its branches and roots.

Figu

re 6

Figu

re 8

Figu

re 7

Figu

re 9

First of all let’s see how the roots are formed. As it is known, in semiosis the

dynamic object always goes back, it is never shown in its fullness. The sign can

represent it in many different ways, but always in parts, never completely. Since

it is impossible to reach the dynamic object, we say it retreats. This movement

of going back appears in the axle z in the negative direction. As it is located in

the center ring we can imagine that the back movement of the dynamic object

forms the trunk and roots of the tree.

Next, it is necessary to look at the external rings to see how the branches grow.

In the last three rings we can find the final interpretant, the relation between

sign and final interpretant and the relation between dynamic object, sign, and

final interpretant. As the final interpretant is not an existent but a course of

representation that the sign must follow, the end of this path is a place that

will never be reached. It is always in the future, in the infinite, and the aim of

semiosis. The other ring that represents the relation between sign and final

interpretant points to the description of semiosis process in its complete way:

the triadic relation among object, sign and interpretant.

As a result, we can notice two processes going on simultaneously. If on the one

hand the dynamical object retracts in direction to the ground forming trunk

and roots in a way which makes the object itself more complex and impossible

of being fully represented by the sign, on the other hand the triadic relation

of signs shows a mediation process- which can also be understood as a way

of thought- pointing to sign growth- which in the model is represented by the

branches.

Figu

re 1

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Due to this, it is possible to presume that the retraction of the movement of

the dynamic object connects semiotics to metaphysics, and that the growing

of semiosis- given by the characteristics of being in the future of the final

interpretant- connects semiotics to pragmatism. Considering this hypothesis,

we will next look for traces on the central and external rings that relates

semiotics to metaphysic and pragmatism.

There are in the dynamic object ring, 55 signs of collections, 10 of occurrences

and 1 of possible. If the dynamic object is what determines the sign and

always appears mediated by it, than the dynamic object might be the reality.

The going back of this object looks like the aim of metaphysics: to discover the

reality that is behind the appearances. In addition, the signs of possible can

be related with chance; the signs of occurrences with existence; and the signs

of collections with law. Signs of collections are the greatest number of signs in

this ring and that points to the realistic thought of Peirce that generals are real

and that reality is full of laws.

In the external ring we come across exactly the opposing relation among the

classes of signs as the majority of the signs are of firstness and just one of

thirdness. As this ring represents triadic relation, or the way of thought, it

is composed of 55 classes of signs that are instinctive thought, 10 that are

thought of experience and 1 that is formal thought. This exclusive class of

sign that represents formal thought can be related with the aim of Peirce’s

pragmatism, the concrete reasonableness. By this he means that the purpose

of thought doesn’t lie on an action, but on the development of an idea2 and

that it is through reason that we can reach this aim.

Finally, I hope you could see- in the explanation of this 3D model- in which

ways semiotics and the other disciplines of Peirce’s philosophy are connected

and how further analyzes will help on detailing this relation. Although the

model was constructed to make clear the sign theory, its analysis shows that

it is through semiotics that Peirce’s philosophy is structured. Comparing it to

a tree seems a good way to consider Peirce’s philosophy as a system and not

as an isolated discipline. At last, I could sum up saying that first: semiotics is

the structure of the SignTree; second: its relation to metaphysics is made by

the growing of roots that represent the increase of complexity on reality; and

third: its connection with pragmatism is made by the growing of branches that

represent the development of thought.

Notes

1 “Come on, my Reader, and let us construct a diagram to illustrate the general course of thought; I mean a System of diagrammatization by means of which any course of thought can be represented with exactitude.

“But why do that, when the thought itself is present to us?” Such, substantially, has been the interrogative objection raised by more than one or two superior intelligences, among whom I single out an eminent and glorious General.

Recluse that I am, I was not ready with the counter-question, which should have run, “General, you make use of maps during a campaign, I believe. But why should you do so, when the country they represent is right there?” Thereupon, had he replied that he found details in the maps that were so far from being “right there,” that they were within the enemy’s lines, I ought to have pressed the question, “Am I right, then, in understanding that, if you were thoroughly and perfectly familiar with the country, as, for example, if it lay just about the scenes of your childhood, no map of it would then be of the smallest use to you in laying out your detailed plans?” To that he could only have rejoined, “No, I do not say that, since I might probably desire the maps to stick pins into, so as to mark each anticipated day’s change in the situations of the two armies.” To that again, my sur-rejoinder should have been, “Well, General, that precisely corresponds to the advantages of a diagram of the course of a discussion. Indeed, just there, where you have so clearly pointed it out, lies the advantage of diagrams in general. Namely, if I may try to state the matter after you, one can make exact experiments upon uniform diagrams; and when one does so, one must keep a bright lookout for unintended and unexpected changes thereby brought about in the relations of different significant parts of

the diagram to one another. (CP 4.530)”

2 “Now man cannot believe that creation has not some ideal purpose. If so, it is not mere action, but the development of an idea which is the purpose of thought; and so a doubt is cast upon the ultra pragmatic notion that action is the sole end and purpose of thought. (CP 8. 212)”

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