Philosophy of Semiotics Philosophical Aspects of Semiotics Abstract: This article is based on my research in the field of semiotics, a field in which I have been involved for over 25 years. Throughout that time, I felt that my work was situated on the boundary between semiotics and philosophy. Recently, I concluded that all semiotic activity related to scientific research is part of epistemology, in that it deals with certain aspects of the acquisition of knowledge. Semiotic activity is a significant part of all scientific research. Along with observation and experimentation, it is included to varying degrees in all stages of the scientific process. Scientists rely on signs throughout their research work, from the time they plan a project through the summarizing of their conclusions. Every branch of science develops its own sign-system or systems. The development process is one of constant and continuous innovation, because the system of signs used by a science must grow and develop along with the science itself. My research has led me to conclude that sign-systems evolve in predictable patterns, gradually becoming more abstract by incorporating increasingly abstract symbols. If we can identify these patterns, we may be able to determine the stage of maturity of a given scientific theory at a particular time. The essays in this article are one of the first attempts to begin identifying and characterizing these patterns. Keywords: ontological reality; epistemology; semiotic activity; signs and sign-systems; semiotic reality; conceptual grid For over twenty years, I have been dealing with topics that belong to the field of semiotics, the science of signs. All of the semiotic issues I have discussed during this entire period are near the boundary between semiotics and philosophy. Some of the problems belong primarily to the field of semiotics, others to the field of philosophy, and some are mixtures of both fields. In this paper, I will focus on those issues that are essentially philosophical in nature. I have collected these topics into a single paper because I think that, together, they offer a fresh viewpoint for handling established philosophical problems and highlight new facets of these problems. The boundaries of the field of philosophy are very broad, comprising many branches, including ethics, theology, political thought, and many other issues. The philosophic problems I deal with in this paper and in my work in semiotics in general, belong exclusively to the branch of philosophy called philosophy of science. By this I mean that my work concentrates on issues that have arisen from semiotics and are related to the development and dissemination of the sciences. Other subjects are entirely beyond the scope of my studies. Within this range of issues, I will also limit my discussion to matters that I personally encountered during my exploration of semiotic studies, that is, the system of semiotics that I myself have developed and presented over the past decades. Nonetheless, I do not in any way aspire to writing a comprehensive treatise on the philosophy of science. My aim is to survey a number of points that seem to shed new light on the conventional wisdom in the realm of philosophy of science. Because of this, this paper contains discussions about a number of distinct issues that are not closely connected with one another. Each problem is dealt with as a separate issue in a short essay. All of these are topics of a semiotic nature that extend beyond the scope of pure semiotics into the philosophic domain, and in some way contradict its accepted views and its handling of them. 1 Philosophy of Semiotics Issue 1 Semiotics, like many other sciences, grew out of philosophizing What we recognize today as the sciences have their origins in ancient Greece, where they developed as an outgrowth of the Greeks’ special approach to what they called philosophy. Literally, the term “philosophy” means “love of wisdom”. For the ancient Greeks, this meant the desire to meditate on and discuss what they considered to be matters of substance, namely, issues that lie beyond the scope of everyday concerns. They left the business of practical life to slaves and other lower castes of the population; philosophizing and its implementation in politics and other spheres, that were deemed lofty enough for patricians, was the realm of the upper classes, and conversely, was also only open to them. Even among the upper classes, the very name “philosopher” could only be applied to the wisest of people. Thus, according to Plato, only philosophers had the right to choose proper words for a living language. Because of this attitude towards philosophy, the ancient Greeks were constantly involved in lengthy conversations about whatever topic happened to come into their minds. These conversations were recorded in numerous texts, many of which are preserved to this very day. To us, many of them seem naïve and senseless, but they represent the very first efforts to understand and explain natural phenomena, and the sciences as we know them grew directly from these early reflections. Indeed, by using these philosophic methods, some of the brightest of the ancient Greeks arrived at far-reaching and surprisingly accurate guesses about the natural world. For example, they guessed that the Earth was round, that all material things are composed of tiny particles (atoms), and that all substances are mutable. (“One can never enter the same river.”) The most prominent of the ancient thinkers formulated complete theories that remained influential for long periods of time and were applied for practical purposes. A classic example of such a theory is Ptolemy’s geocentric structure of the solar system. In addition, some particularly gifted thinkers worked out complete structures for certain sciences — structures that have been studied continuously from the time they were formulated to this day, such as Euclid’s geometry and Aristotle’s formal logic. First steps away from pure philosophic discourse It is only natural that the sciences, when they first became separate from philosophizing, were rather amorphous and vaguely formulated. Each science began its existence as a hypothesis based on a few known facts and accompanied by some ideas about how the hypothesis could be expanded into more coherent forms and applications. The author of the hypothesis usually tried to classify the pertinent facts, but given the limitations of the available data, was usually limited to creating a taxonomy. To understand what I mean by this, let me clarify that, in my view, there is a great difference between scientific taxonomy and classification. Taxonomy precedes classification and relies more on the logical composition of the categories under scrutiny than on their precise comparison and evaluation. By contrast, classification requires precise analysis, and, because of this, it develops little by little out of practical field work. 2 Philosophy of Semiotics Ultimately, classification requires homogeneity among the objects or occurrences that are grouped together. It is only when signs of a similar character, representing facts with the same nature, appear, that true classification can take place. The general rule is this: If the signs in a group have a common character, this indicates that we have crossed the boundary from taxonomy to classification. Meticulously built categories (taxons), arranged in a logical order, pave the way to exact scientific comparisons based on well-defined criteria and findings (classifications). Let us take, for example, the birth of contemporary biology. The foundations of modern biology were laid out by Charles Darwin in his famous work, On the Origin of Species. In this book, Darwin postulated that the biological development of living creatures depends on competition between species and on the resistant force of the species with the best qualities. Based on this idea, Darwin conjectured a hypothetical series of organisms that evolved one from the other in a sequence that led ultimately to homo sapiens. As part of his theory, Darwin mentioned some taxons that exemplified the turning points in this evolutionary sequence. These taxons included creatures whose characteristics were not entirely defined, but whose existence in their proposed locations in the sequence derived logically from the general principles of the hypothesis. Since the theory was accepted as a paradigm of biological science, these points were used as orientation marks for all future findings. Further investigations in the field of biology sometimes led to their verification and at other times led to their partial or complete refutation. Gradually, Darwin’s taxonomy was transformed into a classification consisting of classes and subclasses that were supported by convincing biological arguments and physical evidence. Another example of the distinction between taxonomy and classification can be seen in modern cartography. All cartographic models (maps, globes, computerized images, etc.) can be divided into four groups: geocentric models, models of the sky as observed from the Earth, models of celestial bodies other than the Earth, and navigational charts. This division is based on the position of the observer and the field of observation; in addition, a temporal parameter is sometimes added to the spatial ones. This breakdown distinguishes between four kinds of cartography, each of which makes use of different sorts of signs and their syntactic bonds. But from a semiotic point of view, each of these groups exists in the taxonomic dimension, as each of them includes different kinds of models that use different kinds of signs. If we delve more deeply into the components of one of these groups, we can begin to classify them. For example, if we look at the details of the geocentric kind of mapping, we will be moving one step from taxonomy towards classification. An additional step closer to classification brings us to the various types of geocentric cartography: the cartography of physical space on the Earth, political mappings of the planet (states and their borders), thermal charts, etc. Within each of these latter categories we can, at last, find actual classification schemes, because each of these categories uses the same standard set of signs, and that set of signs is only used for mappings within the category. Indeed, when we identify the use of a standard set of signs within a particular scientific field, we can conclude that we have found the mature science of a particular category. Semiotics developed in the same way 3 Philosophy of Semiotics Just as the other scientific fields with which we are familiar developed out of philosophizing, so did the field of semiotics. The first time the real nature of signs was described was in the works of St. Augustine (354–430). While trying to substantiate his religious views, he wrote about different categories of signs. In his De Doctrina Christiana, he identified two types of signs, those we find ready-made in nature and those people invent in their minds, that is, products of human ingenuity. In the course of these purely theoretical expositions, he laid out the foundations of the future semiotics. The next milestone in the development of semiotics was the theories of Charles Peirce, who, towards the end of the 19th century (!), gave his tripartite taxonomy of signs, dividing them into indices, icons, and symbols. This was a continuation of St. Augustine’s approach, and most scientists use this “classification” in their works even today. Still, it belongs in the realm of taxonomy, as each of the categories unite a variety of different signs and sign systems. My own division of signs and sign-systems, which I have been publicizing for more than 20 years, also belongs to the taxonomic level of analysis, and is meant to be an elaboration on Peirce’s taxonomy. The first two levels of my taxonomy of signs and sign-systems correspond to his first two categories, indices and icons; the last four flesh out his last category, symbols. Nonetheless, my system differs from Peirce’s in that it is an ordered list – a hierarchy from less abstract to more abstract signs. This hierarchy is based on two interrelated sequences: the order in which the human mind comes to understand signs and their systems as it develops cognitively (ontogenesis), and the gradual process by which human thinking has matured over time and become more abstract (the phylogenesis of the development of the human race). To briefly clarify what I mean, let me give you a short overview of my system. (The scheme is described in greater detail under Issue 3 below.) My taxonomy consists of six categories of signs and sign-systems, arranged in a continuum from the least abstract to the most abstract. The first type of sign-system to appear in the history of homo sapiens was the natural sign-system. This type of sign-system is based on natural signs – naturally-occurring objects and phenomena from which we can draw conclusions about a complete picture that is partially concealed from us. Examples of natural signs are a column of smoke that tells us where a fire is, and foot prints that tell us about an animal that has already passed by. In human history, as well as in the individual human mind, natural sign-systems were followed by iconic sign-systems. These sign-systems are based on images, which are much more abstract signs than natural ones, since they are not parts of the whole in existing natural systems, but are invented by humans. Natural and iconic sign-systems were followed by language sign-systems, which are composed of linguistic signs. These were followed by notational sign-systems, which use hieroglyphs as their basic signs, and, finally, formalized or mathematical sign-systems, which are based on symbols. (This latter type of sign-system is divided into two sub-categories: sign-systems whose symbols have a fixed meaning and sign-systems whose symbols have variable meanings that are assigned ad hoc.) Obviously, my system of semiotics is far more elaborate than its predecessors. Nonetheless, although it is much closer to being a classification, it still remains in the realm of taxonomies. One more step is required in order to arrive at a true classification model consisting of ontological objects represented by homogeneous 4 Philosophy of Semiotics signs. It would be enough to take the taxon of notational signs (hieroglyphs) and descend to its various subsections, such as the systems of writing (with letters as basic signs), musical notations (with notes as basic signs), technical drawing (with blueprints as basic signs), and we are already in the realm of genuine classification. Within each of these subsections are subdivisions that are fully part of the realm of classifications; this is what is being done all the time by scientists in the course of their research. Conclusion Most sciences, including semiotics, were born out of philosophizing about the things and phenomena people encounter in their ordinary and not so ordinary lives. Little by little, the topics discussed became separate sciences with their distinct subjects, special methods of research, and specific signs for notations. But it is important to note that philosophy did not disappear from the scene completely. It remains outside of the branches of science and provides a way to observe and critique each branch. In addition, it can be used within a particular branch of science to discuss its most general propositions. Besides, by the characters of the signs used in the science we can judge about this science level of development. Issue 2 Semiotic shaping is one of the three characteristics of a fledgling science In the conclusion to the previous section, I enumerated the three indicators of a separate branch of science: distinct subject-matter, specific methods of investigating this subject-matter, and special semiotic shaping. Usually, only the first two are mentioned; I think it is important to include the third one, the semiotic attribute, in the discussion. The semiotic shaping of any distinct scientific field consists, in my opinion, of two facets. The first, which is relevant to all scientific fields, is the construction of a conceptual grid for the science. The second, which is only relevant to those scientific fields that are called exact sciences, is the creation of a special symbolic notation. Let us treat each facet separately. On the conceptual grid of a science In my semiotic treatment of linguistics, I have shown that each natural language includes words (its basic signs) in three categories: proper names, notions, and concepts. Every language began with proper names; that is, when our ancestors first saw something, they gave it a name, so that they would be able use the name even in the absence of the real object. These were the initial units of our languages, the ones that are the least abstract in their meanings, because each word has its own single referent. People soon understood that they could not name each object, its components and qualities, its transformations and links, with separate words. They began using notions, which are also words, but have multiple referents. Notions made it possible to denote many objects of the same class and of various related classes with a single unit. It was the invention of notions that brought language into existence, but the act of denotation became very difficult and was often very blurred. Nowadays, notions 5 Philosophy of Semiotics comprise the bulk of any linguistic vocabulary, and they are obviously more abstract words than proper names are. When humanity arrived at the modern scientific era, people were not content with using notions for their scientific discourse, because notions by definition had very blurred meanings. To deal with this problem, they invented concepts – words with multiple referents that had strictly defined meanings within the framework of a specific scientific domain. Thus, for each scientific field, the participants in the field created a set of concepts that described their activities clearly. The set of concepts that is used by a particular science, including information about the relationships between the concepts, is called by me conceptual grid of the science. Every mature science must have its own conceptual grid, or rather, a number of interconnected conceptual grids. Lecturers in a scientific field typically begin their courses by introducing their students to the conceptual grid of the field. This gives them a structure in which to organize the topics and terms they will deal with during the course. In professional discourse among scientists themselves, the conceptual grid is also widely used. In fact, it is impossible for them to exclude it from their exchanges of ideas. I could give you an example of what I am talking about from any science. Let us look at the science of law – jurisprudence. The conceptual grid of jurisprudence is a sort of ladder that is wider at the bottom than at the top. As you move down the ladder of concepts, you move from broader concepts to more specific ones. At the top of the ladder is law – the most all-embracing and meaningful concept in the domain. On the next lower level, the concept of law can be represented by the names of different kinds of law: common law, criminal law, civil law, etc. If we descend one step lower, we can find concepts related to each of the names on the level above. For example, criminal law is divided into crimes against the state, murders, rapes, etc. On the next lower level, below murders, we arrive at intentional murders, murders by negligence, and so on. Each concept in the grid can be divided, level by level, to bring us to the concept we want to elaborate on. Work on the conceptual grid of any science continues all the time; the grid is constantly expanded and modified in response to new findings in the field. This process of perfecting the conceptual grid of a science plays a decisive role in the continued development of the science. On symbolic notation in exact sciences In my formulation of the different functions of various sign-systems, I mention the idea that sign-system transformation rules can be used to transform abstract symbolic signs in lieu of the signs’ referents. This function is relevant for all kinds of signs, but to different extents and in different ways. When signs become abstract enough (at the highest levels of my hierarchy), they tend to be used as substitutes for their referents; researchers work with the signs instead of their ontological counterparts. In the so called exact sciences, this is the rule rather than the exception. When ontological objects are too distant, or too large, or too small, or we simply feel more comfortable dealing with their written substitutes, we invent special symbols for them and work with them using the accepted algorithms of the relevant branch of science. This last point is very important: the existence of special formulas and special ways for transforming these formulas are definite indications that we are dealing with a separate branch of science or a special section within a very large mother science (see below). 6 Philosophy of Semiotics That is why one aspect of every exact science is the invention and improvement of its symbolism. This is true of chemistry and physics, cartography and musicology, logic, and, especially, mathematics. The most capable people in each field are busy working on this aspect of the field, and their work goes on ceaselessly. I mentioned above that the appearance of a new system of signs and transformation algorithms sometimes indicates that a new science has been born, but at other times the new system is only an aspect of an existing science. This can be best understood as a continuum of various combinations. To understand how this continuum works, we have to outline what a sign-system is as a construct. From the semiotic point of view, each autonomous system of signs must have the following features: a) A special set of signs with a weight and role for each sign; b) A specific combination of syntactic rules for the formation of the field in which all the signs exist; c) A set of specific algorithms for sign transformations – the rules of the system’s syntax. In view of these features, let us compare the symbols used in three fields: modern chemistry, musical notation, and modern cartography. Chemical symbolism began a long time ago, in ancient Greece and Egypt, but it was not easy to arrive at a complete, systematic set of signs. This objective was finally achieved in the 19th century by Dmitri Mendeleyev, who constructed his famous periodic table. In this table, each chemical element was given its own place and weight. It seemed that chemistry had achieved the semiotic pinnacle with this table, but nonetheless, organic chemistry was not satisfied with it. It strived for something else, and got it in the so-called structural signs. Alexander Butlerov and August Kekule invented these structural signs and opened new horizons with this new kind of symbolism. Does this mean that they revealed a new stratum of scientific research? In some ways, yes, but the new kind of symbols they invented did not lead to the formation of a new science, only to new vistas within the old mother chemistry. Why? It seems that this was because the new signs included the same elements and designations as the old system; only new designations of syntactical ties between the denoted atoms were added. On the other hand, in musical notation, which also developed over a very long period of time, the sign transcription method for sounds seemed very stable and permanent. Yet in the 20th century, jazz and disruptive cacophonic music came into existence. These developments required other signs for their representation, and they got them. The syntactic contour of the notation remained, but the sounds received new notational forms. As with chemical symbolism, the old pattern prevailed and a single framework of musical notations remained in force, even though very great changes took place within it. In modern cartography, all of the components of the semiotic system were changed when they were used for new types of maps. (I wrote about this under Issue 1.) Nonetheless, all of these elements, which form some incompatible systems, are still kept within the same professional framework. This has led me to the conclusion that they ought to be separated. Conclusion Each mature branch of science must be judged not only by the specifics of its subject-matter and its methods of study, but also by its semiotic shaping. This means 7 Philosophy of Semiotics the accepted conceptual grid of the science, and, for exact sciences, also includes the specific symbolism of the science. The converse is also true: if we see a new system of signs, it means that we have either encountered a completely new field of study or a new realm of research in the existing field. Issue 3 A new graphic model for scientific representations It is a well-established practice to use graphic representations to illustrate verbal explanations, especially for highly abstract themes and points. Thus, in semiotics, triangles are widely used to show the nature of signs through the interactions of the parts of the triangles. Yet, this is a relatively simple scheme that can only be employed for a relatively small number of inferences, even if they are highly important ones. Since semiotics discusses also graphic signs, I think it is only appropriate that it should take an active part in explaining them and their practical implications. No less important is their philosophical significance in the field of scientific investigations. That is why I am daring to devote a special section of my work to introducing a comparatively new graphic pattern for illustrating the development of a science, which I will explain in detail in this essay. My first glimpse of the proposed scheme The first time I came across this scheme was in the works of the famous developmental psychologist, Jean Piaget (1896–1980), in which he presented his theory about human cognitive development during the first years of life. The theory spoke about different “schemata” (Piaget’s term) that are superimposed on one another over the course of time. In Piaget’s opinion, during the first phase of human development, children manipulate material objects while they are within their field of view. As soon as an object disappears, the infant seems to forget about it. The next stage of children’s development begins within the next few months of their lives. During this stage, children learn to remember objects that were perceived earlier, and sometimes even demand them back. That is, children learn to retain mental images of objects and can reproduce them in their minds or in their drawings, even in the absence of the objects themselves. Thus, a new plane of thinking occurs, along with conduct that corresponds to it. In the third stage of cognitive development, symbolic representation of things and events in the outside world begins, initially with the use of words. The most striking feature of Piaget’s schemata is that each successive stage appears not after the previous stages have petered out, but during the course of their development. In addition, each new stage repeats components of the previous stage. That is, the earlier cognitive patterns continue to grow even as the new ones take form, and are usually enriched by the new vistas, while the new patterns are prepared from the old established ones. Moreover, the new patterns even borrow established forms of conduct. This holds true for each higher level of development; each one obtains the substance and order of the one that preceded it, and adds its own fresh overtones to it. 8 Philosophy of Semiotics Although Piaget never created a visual diagram of his schemata, they lend themselves to a visual presentation. Thus, his schemata have influenced both my hierarchy of signs and the graphic form I created for illustrating it, that I will describe below. My own usage of the scheme When I wanted to elaborate on how signs develop, I felt it was natural to turn to Piaget’s works and borrow his pattern of presentation, formalizing it into a scheme. Earlier in this article, I explained this scheme verbally. Now I will present it visually, in the form of a diagram. Here is its simplest version: Let me begin by giving you a general explanation of the diagram. After that, I will discuss its structure. This classification scheme is most easily understood when the basic signs of each type of sign-systems are explained sequentially, beginning with the lowest level of the hierarchy, as follows: Natural signs, the basic signs of natural sign-systems, are entities in and of themselves – visible (or audible) elements of something that represent the entire thing. These objects allow us to conjure up the entire entity when we cannot sense it directly. For example, a visible pillar of smoke may tell us that a fire is burning when that fire is not otherwise within the scope of our senses. Similarly, a light coming from a window may suggest that the inhabitant of the room is at home. Images, the basic signs of iconic sign-systems, are not parts of a real object but a reflection of it; they represent the things they signify because they resemble those things. Clearly, images are more removed from the things they signify than natural signs, which are parts of the objects they represent. Words, the basic signs of language sign-systems, are generally arbitrary signs, having no intrinsic resemblance to the things they signify. As such, they are more distant from the things they signify than images are. Yet words do have an extra-systemic relationship to the things they signify, in that they represent actual things that exist in reality, beyond the bounds of the language sign-system to which they belong. For example, the word “table” represents an actual thing that exists outside of the English language. Hieroglyphs, the basic signs of notational sign-systems, only exist within specific sign-systems, and only in relation to the other signs in the sign-system. Their purpose is to represent something within a sign-system in graphic form. For 9 Philosophy of Semiotics example, the letters of the alphabet are hieroglyphs that represent sounds in graphic form. Although hieroglyphs are more abstract than words, they nevertheless maintain a constant relationship with the things they represent. Thus, the written form of the word “table” is always “t-a-b-l-e,” and the individual letters that compose the word “table” continually represent the sounds assigned them by the particular language whose alphabet contains them. Symbols, the basic signs of mathematical sign-systems, are, more often than not, chance notations for dealing with ad hoc situations. For example, “z” may mean weight in one situation and something entirely different in another. Thus, symbols are signs with the remotest possible connection to their referents. These are the most abstract of the basic semiotic signs. The structural peculiarities of this scheme are as follows. Each level in the structure reflects a separate level of signs and sign-systems that is mastered by a person in the course of his cognitive development. We begin at the bottom of the scheme, over which each new level is superimposed. This means that the successive levels do not stop the development of the levels below them. Each new level can only appear when the previous level is at least partially mastered. Thus, the previous levels continue advancing, enhancing their skills from the new horizons added by the new levels, while these new levels are enriched by those things the lower levels have already mastered. Their interaction is mutually profitable; the signs denoting the same ontological objects on each higher level become more penetrating in their understanding as a result of it. This process is reflected in the diagram’s “laddered pyramid” appearance: each new level is shown as a higher step on the pyramid, which shows that the degree of abstractness (and also the level of understanding) is higher on this step than on the previous ones. Yet the main heuristic characteristic of the scheme is that each level of presentation includes all the steps above it. That is, for example, the level of natural signs comes to include, as it continues to develop, all of the stages shown in the scheme: there are natural signs per se, natural signs encapsulated in images, in words, in written signs, and even in formalized images (like graphs representing the results of vision or hearing tests). The same is also true of all the other levels in the pyramid. Even if we start at the top of the pyramid – the highest formalized level of signs – we can find elements of the other levels. For example, in arithmetic, we find aspects of natural sign-systems in counting by means of material objects (such as fingers and toes); aspects of images (like cuts on the stick by Robinson Crusoe); words; arithmetic as it is taught in schools, and as it is used in algebraic formulas. In each case, it is arithmetic, but it is implemented using different signs from all of the levels of the semiotic reality. And this leads us to a very important practical application: in this spring-like design, we can visualize a very specific way of thinking, replaying itself again and again, but at different levels of complexity. This compels us to pay attention to the structure as a whole and to the importance of not omitting any of the parts it includes. If, for example, when I was discussing a level in my scheme, I could not give any information about any of its components, I knew I had to stop and to think it over. In this respect, the scheme is even more helpful than the periodic structure invented by Mendeleyev for his table. Some other implementations of the scheme 10 Philosophy of Semiotics A very interesting book is devoted to the same design: Gödel, Escher, Bach: an Eternal Golden Braid1, by Douglas R. Hofstadter. In this book, the author states his belief that this pattern of thinking (in loop-like designs, as he calls them) is typical of the human mind and is one important trait that distinguishes our minds from any machine algorithm that is supposed to simulate “thinking”. In the book, Hofstadter analyzes Bach’s fugues and canons, Escher’s drawings, and the famous theorem by Gödel. He comes to the conclusion that all of them are built in accordance with the same pattern as the one in the structure above. Here is how he describes the structure of a canon in music, using the Russian song Uncle Vanja as an example. The initial line is sung by the first voice, which then goes on to sing the second line. Simultaneously, the second voice repeats the first line in its own register. The first voice goes on with the third line, while the second voice sings the second line and the third voice repeats the first line in its particular register. In this way they sing in chorus, each one singing the same melody and the same words, but in their own special rendering. Hofstadter considers this to be one kind of what he calls a loop-like design; the same pattern appears in all of his examples. Conclusion This is the same pattern that I am trying to publicize among the scholars of different professions in this essay. Issue 4 Semiotic reality and its qualities (1) At the beginning of this century, I proposed a new semiotic concept, that of semiotic reality 2 . This concept now seems to have been the most important contribution to the philosophy of semiotics that I have made thus far, since I began contemplating the nature of this science. In the course of time, I even began to include semiotic reality in the tripartite definition of what semiotics means as a branch of science: “it is a science about signs, sign-systems, and semiotic reality.” The new concept has a lot of potential implications, some of which will be discussed below. Clearly, the three implications I have chosen are not the only possible ones, and there are many more. But one must take into consideration that the concept itself is very young and there has not yet been enough time to examine it as carefully as it deserves. What is semiotic reality? We are born into a world that already exists and to which we must adapt in order to live. That is, by the very fact of our coming into this world, we encounter the surrounding reality and try to discover its laws so that we can utilize them to our advantage. This world in which we live is usually called ontological reality. Each generation encounters its own ontological reality, which is different from the 1 The book was translated into Russian and published by Bachrah-M in 2000 under the title “Гëдель, Эшер, Бах: эта бесконечная гирлянда”. Since I only have the Russian version of the book, I will cite it in English in my own words. 2 Solomonick, Abraham (2002). On the Disparities between Ontology and Semiotic Reality . Retrieved September 2010 from http://www.countries.ru/library/semiotic/two_realities.htm. 11 Philosophy of Semiotics ontological realities that humans had experienced before it. Each generation of humans accepts the surrounding reality in its entirety as it is, and is unable to choose something different. In order to adapt to our ontological reality, we begin to study it, at school and by ourselves. This acquisition of knowledge and the conclusions we draw from it about ontological reality proceeds with the help of signs. Every thought we have, and the expressions of our thoughts, are formed using signs: our speech consists of signs (words are signs of their referents), and so are the pictures, maps, diagrams, etc., that we use to explain ourselves. All cultural events – literature, ballet, sculpture, and so forth – are infused with signs. Our scientific investigations are performed using signs and their systems, and the results are also expressed in signs. All of these signs and sign systems are gathered together in a special plane of our life which I call semiotic reality. Semiotic reality is a collection of semiotic findings about our surroundings, our lives, and our own selves that are preserved in special receptacles, such as libraries and computerized databases. From these receptacles, particular items can be retrieved, studied, and worked upon; and thereafter they can be returned to their receptacles for continued storage. Sometimes these receptacles are organized according to the type of knowledge they contain, at other times, they gather all kinds of information. The most important point is that these receptacles are all used for safeguarding semiotic data. Humans use semiotic reality to help them cope with ontological reality. With its unwavering support, we penetrate into the essence of real objects, understand the ways things work or behave, and sometimes even change the course of events for the benefit of the human race. During some recent centuries, scientists using semiotic reality succeeded in introducing many changes in our lives, making them more comfortable and agreeable. With the help of semiotic reality, we have succeeded in creating a lot of artificial amenities which have completely changed us and improved our surroundings. Some of these changes were of material character; these were added to ontological reality. Others were of a semiotic nature, and improved our semiotic tools for further and more effective use. As I mentioned above, there are many things that distinguish semiotic reality from ontological reality. The rest of this article is actually devoted to elaborating on the distinctive qualities of semiotic reality. The rest of the current essay is concerned with its most significant distinction, a distinction that lies at the base of all the others: that signs are material entities – in fact, they are no less material than ontological entities – but their materialness is of a different nature than that of ontological entities. The materialness of signs Signs are material in that they are recognized by our senses, just as any ontological object is. If something is not recognizable, it cannot serve as a sign. On the other hand, if a sign is written down in some way, it can exist even when it is outside of our perception, just like any other material object, such as a chair or a book. Another quality of signs is that they must be comprehensible; otherwise they also cannot serve as signs. If we do not understand a foreign language and do not understand the meaning of its words, they can’t be considered proper signs for us. Still, signs as material entities are distinctly different from ontological entities. The most basic difference is in their origin: whereas ontological objects are not, for 12 Philosophy of Semiotics the most part, created by humans, all signs come from our minds. When we deal with ontological objects, our influence on them may be very limited: we can only have an impact on minor things, while larger elements do not obey us. By contrast, we can do whatever we like with any sign and any sign-system – they are of our own creation, and we can manipulate them at will. All other distinctive properties of signs and sign-systems included in semiotic reality derive from this fact. Semiotic reality develops in connection with and in accordance with ontological reality, but as soon as it arises, it begins to exert its own laws and influence. The principal function of semiotic reality: introducing individual innovations into the common corpus Collecting all existing semiotic facts under one roof turns all individual endeavors into our common property. This is not always done intentionally; it is just what the semiotic reality does de facto as it collects each and every individual intellectual innovation. It is no secret that all of the human race’s progress is pushed forward by individual efforts. But the individuals need other people’s approval, support, and help with implementation in order to fully develop their ideas. These can come into play only after other people learn about the proposed innovation. If it remains in the private repository of its creator, it may never become generally known and actualized. By being published in printed or computerized form, an innovation immediately becomes collectivized. People begin to scrutinize it, to criticize it, or, conversely, to incorporate it into their own frames of reasoning. Sometimes a proposed invention is tested empirically in experiments using specially crafted instruments. Sooner or later, the innovation is either accepted by the scientific community, and then by society as a whole, or it is rejected by them. The condicio sine qua non for this is its appearance in the semiotic reality in a publicly accessible format (in scientific publications, teaching aids, etc.). Incorporation into the corpus of accepted truths is the ultimate indicator of scientific approval Once a scientific innovation has been incorporated into the semiotic reality, all further discourse related to it must be judged with reference to the knowledge that is already accepted. A proposal’s compliance with this body of knowledge, as expressed by the approval of those who are familiar with it, is one of the conditions for its incorporation into that body. This approach to accepting innovations has proven to be reliable over the last few centuries. This is why I disagree with the pessimistic opinions of many laymen, and a few scientists, who assume that the weaknesses of our individual perception means, that the sum of these perceptions must be even weaker and less defensible. The involvement of semiotic reality in the scientific process seems to be a reliable counterbalance to this weakness. Collective control on all proposed innovations and their experimental examination (when necessary) seem strong enough tools for managing the acceptance or rejection of a proposal. What hinders us in our progress? Through this process of innovation and public review, science becomes international and is disseminated all over the world. Yet progress is still hindered by certain factors. I am aware of three such obstacles. The first obstacle that interferes with the dissemination of scientific innovations is that all research is explained in a 13 Philosophy of Semiotics particular national language. This is a very serious obstacle that prevents the rapid circulation of new knowledge among all concerned parties. Two solutions for this problem have been put forward: the introduction of an artificial language (like Esperanto, for example) or the use of an advanced national language that all scientists will learn. Both suggestions have pros and cons. Over the past hundred years, a sort of natural experiment comparing these two options has been in progress, and the second option seems to have won a decisive victory. English seems to be on the ascent in every respect and invariably becomes the language of choice for scientific communication. The second obstacle, or rather difficulty, that scientists are trying to overcome, is the purely technical problem of how to make sure that all concerned people are aware of relevant innovations and can locate information about them. The introduction of computers and fast audio and visual communication among people all over the world are the surest ways of overcoming this difficulty. The third difficulty follows in the wake of the second one. It is that the quantity of new suggestions is so numerous, and the bulk of scientific material in the semiotic reality is so large, that to find a required piece of information becomes very hard, if not completely impossible. Many discussions are devoted to this aspect of modern scientific research at various forums. As a partial remedy, I proposed the introduction of special classification tags for the works of each scientific school. This would be similar to the use of bar codes in supermarkets: just as we can use bar codes to help us find particular products in a huge supermarket, we can use tags to help us find scientific output. I realize this is a debatable suggestion, but I still think it is worth discussing. Conclusion Semiotic reality is a special plane of human thinking. It consists of signs and sign-systems that are all of human origin; in this they are different from ontological reality. As soon as semiotic reality is formed, it acquires its own rules of behavior, which are different from those that apply on the ontological plane. One of these is the ability of semiotic reality to convert individual human endeavors into the common property of all of mankind. Issue 5 Semiotic reality and its qualities (2) The previous discussion can help us comprehend the next distinct quality of semiotic reality: that semiotic reality is readily accessible to us, and that we can, therefore, corrupt it to our advantage. Because of its complete dependence upon our cognitive efforts, we can easily forge anything out of signs that we ourselves created. In this I see one of the most striking traits of semiotic reality. It is completely different from the situation with ontological reality, which was not created in our minds and hence strongly resists our interference. Signs can be managed easily and effortlessly, and all kinds of liars and demagogues benefit greatly from this fact. The classical example of such manipulations was presented by George Orwell in his famous book, Nineteen Eighty-Four. In this book he describes the imaginary state in which there are three prominent ministries: the “Ministry of Truth” (for propaganda), the “Ministry of 14 Philosophy of Semiotics Peace” (for waging wars), and the “Ministry of Love” (for internal security). Their oppressive activities affect all aspects of life in the state, where all the freedom and dignity of the citizens are obliterated. The principal instrument for this oppression is the manipulation of the language and the history of the country. The main character’s professional work consists of constantly rewriting history in accordance with the current needs of the ruling clique. After Orwell, these ideas hardly seem novel. Nonetheless, I would now like to suggest a rather new idea, related to these, that has never been discussed before. The discrepancy between ontology and semiotic reality may solve some long-standing philosophical paradoxes The classic philosophical paradoxes were introduced already in ancient Greece. In the 5th – 4th centuries before Christ, the famous Zeno of Elea, who was known for his paradoxes, lived. Zeno was a follower of Parmenides, who was also from the city of Elea. Parmenides wanted to prove that nothing ever changed in time or in substance. That contradicted the data people received from their senses, so a lot of people opposed his views. Zeno strongly supported Parmenides’ theory. In his writings, he presented some paradoxes which to his mind “proved” that nothing changed; the opposing view came only from incorrect impressions that people got because of the imperfection of human sensory data. Since then, a long series of paradoxes have been conceived that seemed to show that what common sense tells us cannot be reconciled with philosophy and science. In modern times, Bertrand Russell collected the paradoxes of Zeno and declared them extremely ingenious and profound. He also added some examples of his own creation to them. Some other philosophers have also pursued this line of thinking. I believe that the concept of semiotic reality can solve all these discrepancies with a single stroke. Before I explain this, let us have a look at one additional source. The opinion of Willy Kreimer Willy Kreimer is a Jew from Russia who some years ago repatriated to Israel. Some months ago, I received an e-mail from him. In it, he said that he had read one of my articles on the difference between the two types of realities (ontological and semiotic) on the internet, and he had included a kind of review of it in his new book3. I immediately followed the link to his book, and this is what I read. Since the text is in Russian, I present it here in my own translation: «Lately, the theory of signs got a significant push from the Israeli scientist, Abraham Solomonick. In his work, “On the Disparities between Ontology and Semiotic Reality,” he introduces the notion of semiotic reality and scrutinizes the interaction between the two planes … In the course of creating semiotic reality, people invented signs and sign-systems that did not have counterparts in ontology, and these latter comprise a very considerable part of culture – mythology, religion, art, and a great portion of science. Thus, semiotic reality reaches far from its initial boundaries. It becomes a thing in its own right and starts to study sciences, arts and literature, not only for their practical use, but for ethereal philosophizing and self-indulgence. In ontology, new assertions 3 Kreimer, Willy (2010). Phychology and Symbols of the Jewish People. Retrieved September 2010 from http://peoples-peace.blogspot.com/2010/07/blog-post_13.html. 15 Philosophy of Semiotics are tested via practice; in semiotics, this is replaced by other criteria: the theory’s completeness, how comfortable it is to work with and apply, its harmony, the beauty of its contents, and how well it fits what already exists. They are no less important than its practical usefulness, but only within the framework of semiotics itself. Solomonick’s deductions from the above are: both types of realities are in principle alike, they depend on one another, but at the same time they are autonomous in their essence and are developed through their own laws… The division of these two planes allows him to avoid the cul-de-sacs into which Zeno, Russell, and Henry Bergson lead us by not discriminating between the rules of sign transformations in ontology and those in semiotic reality. The seemingly incontestable discrepancies, from the point of view of logical positivism, are senseless, if we apply the analyses of the two differing realities. Let us look, for example, at the paradox B. Russell uses in the article, “Why I am not a Christian.” In it, he asks: “Can God create a stone that He won’t be able to lift?” We see some notions from ontology in this — can, create, stone, and lift. On the other hand, he uses the notion of God, which is taken from theology (purely semiotic reality). This implies the meaning Almighty, though it cannot be proved in ontology. As a result, we merge quite different and incompatible meanings from the two planes of thinking, which makes the answer unattainable. From the impossibility of the answer follows the logical incompatibility of the formulation of the paradox». Another instance of the same order Let us now look at Zeno’s trademark paradox, about Achilles and the tortoise. The general idea of the paradox is as follows: Achilles and the tortoise decide to compete in a race. Naturally, Achilles gives his opponent a head start, and then he starts to run. In a short period of time, say, half an hour, he covers the entire distance between the starting line and the tortoise, but when he arrives at the tortoise’s location, the tortoise has already moved forward, so Achilles has not caught up to it. In the next leg, Achilles once again nearly reaches the tortoise, yet the tortoise also keeps moving, and is a bit ahead of Achilles when he arrives at the tortoise’s location. So it goes on and on, in the same way, endlessly: Achilles seems to overrun his rival, but the rival, nevertheless, succeeds in moving forward just a little bit further while Achilles is catching up to it, so Achilles never manages to catch it. According to mathematics, this process will never come to an end – the distance between them becomes infinitesimally smaller with each additional leg of the race, but the tortoise still keeps slightly ahead. This conclusion decisively contradicts the reality in which we live. It is clear to every Tom, Dick, and Harry that Achilles can easily overrun his clumsy opponent. It is only in the mathematics of certain patterns that this truth does not hold. For nearly two thousand years, this conundrum has captivated philosophers. But it can be easily solved if we understand that what is correct in semiotic reality can sometimes be wrong in ontology. It is not always wrong, of course, but it can be wrong. If we apply the proper math to Zeno’s scenario, we can easily solve the problem. If you formulate the proper math conditions for this paradox (it is not difficult), you will be able to handle the problem in a trice. 16 Philosophy of Semiotics In light of what I just said, I formulated a theory of four types of logic which we apply each time we use a sign-system. The four types of logic are: The logic of matching for the two types of reality. In designing sign transformations, we try to follow the processes we observe in practical life as closely as we can. In each step of sign transmutations, we try to match the real mutations that occur in ontological reality. We also apply experimental tests to see whether our transformation rules are correct. The formal logic of our thinking that is inherent in any human activity. The logic of the sign-system we are using. It is obligatory that we act according to the “rules of game”; otherwise, the system becomes unmanageable. The logic of application, which makes the result readable for all types of users. This leads us to the conclusion that when we work with a sign-system, we have to employ all four types of logic. Ignoring any of them will result in failures of the type we discussed in this essay. In essence, what we analyzed in this essay are cases in which users of a sign-system ignored its rules. The point is that a given semiotic procedure may not be appropriate for a particular purpose. One has to choose the right semiotic shaping of a problem in order to deal with it properly. If we come across a case that we cannot solve with the existing semiotic tools, we must invent new and stronger ones. With Newton’s math, we could solve the geocentric problems in the cosmos. When we come to new problems, like those related to immeasurable distances and dimensions in the universe, some Einstein usually appears out of nothing and saves humanity by suggesting a new semiotic treatment of the problem. Let us believe in the collective strength of human intellectual cooperation, which is reflected most clearly in the process by which semiotic reality — the fruit of human cognitive capabilities — is created. Conclusion Distinguishing between the two planes of reality, ontological reality and semiotic one, allows us to decipher the riddles of philosophical paradoxes that have troubled scientists for a long while. But the main usefulness of semiotic reality is revealed under other circumstances, to which we will dedicate the next, and final, essay of this work. Issue 6 Prognosticating power of signs Signs have other uses besides lies and forgeries. In the sciences, signs are widely used for their predictive power. The fact that they are distinct from the things they denote means that we can use them to predict outcomes when we would not otherwise have any way to do so. This is an inherent quality of signs, and it is discernable in each and every type of sign. There are a number of stages in the development of the predictive ability of a set of signs. The first of them is the search for appropriate signs. This is followed by the use of certain signs as taxons exemplifying the key points of a developing theory. But sign-systems are the most powerful predictors, because their algorithms allow us to model what will happen in ontology. 17 Philosophy of Semiotics Search for appropriate signs The search for appropriate signs was the first stage in the process of man’s becoming a symbolic creature. It is also our first task when we encounter a new and unfamiliar situation. In this, it can be said, we behave like any other animal. When a cat finds itself in new surroundings, it begins to smell all the things around it in order to familiarize itself with them. The same is true of humans; when we find ourselves in a new situation, we try to familiarize ourselves with it by looking for obvious features – that is, for signs. But when we select signs to use for orientation, we go much further than any animal, because we have a much greater intellectual capacity for performing this task. Searching for proper signs becomes second nature to us in our normal lives. It also becomes a professional habit for those who must frequently cope with new and dangerous situations: pathfinders, detectives, and the like. The Pathfinder, Sherlock Holmes, Hercule Poirot, and thousands of other heroes are famous, first of all, for their ability to quickly find the signs that are clues for deciphering mysteries and secrets. The signs we discover must be clearly understandable in order for them to lead us to their practical applications; otherwise, they cannot serve as clues. Yet, in some situations, signs exist that do not possess any practical value. For example, a portrait remains a sign even though it does not lead us to any knowledge of who it is meant to represent, what its history is, and who created it. It may also be valued from an esthetic point of view – that is, it is valued as an object of semiotic reality. The search for signs can be long and arduous, but finding new kinds of signs always opens new vistas for furthering scientific investigations. This point becomes clear when you think about Butlerov’s structural formulas or Kekule’s discovery of the structure of benzyl molecules, with double bonds between the atoms. The latter kind of investigation leads us from single signs however complicated they may be, to systemic ones and to their combinations. But, before I discuss this, let me first discuss another role of some single signs, that of serving as taxons. Signs as taxons in scientific theories I spoke of taxons in detail in the first essay of this work, and I come back to them now to show how the concept can relate to some single signs, signs that fill a much more important role than those described above. When someone introduces a new general theory, they must give some explanation of how the theory is expected to evolve – what the pivotal turning points will be as it develops further. These significant points, representing bodies of knowledge that are not yet known, are themselves signs – signs that are taxons, exemplifying the most striking characteristics of the signs that will later form the body of the theory. If the theory is accepted as a paradigm for further research in the field, these taxons will be an essential part of it, and will remain the focal points of the theory throughout its development. One example of this scenario is Darwin’s theory of the development of species. To this day, the taxons Darwin chose as intermediate stages for the theory of evolution continue to serve as touchstones for the approval or rejection of any new discovery in the field. Other theories of large scale development (geological or climate changes, for instance) can also serve as examples. In fact, I myself proposed something of this kind when I introduced my theory of semiotic development and identified the taxons that I believe are, or should be, the main focal points of semiotic research. 18 Philosophy of Semiotics Predictive power of sign-systems Sign-systems are much more powerful predictors than single signs. They allow us to formulate algorithms for dealing with special kinds of situations and, once these algorithms are tested, to apply them in ontology. This is true of spatial and temporal relations, periodic processes, and many other things. If, for example, we want to know what time sunrise will be tomorrow, we analyze the relevant data about the movements of celestial bodies and derive the required information. To do this, we usually use the standard mathematical procedures and formulas that were developed for this purpose, and insert the relevant concrete values. Similarly, if we want to be able to know the speed at which a car is traveling, we prepare a special tool that uses the appropriate algorithms to calculate the speed when we enter the relevant information into it. The most striking feature in this process is that we can sometimes manage to get to the right results without even knowing the physical substance of the process itself. In fact, this seems to be the rule rather than the exception. When Newton deduced his laws of gravity, he did so without knowing what physical processes were behind them. We do not even know them now. When Faraday empirically studied electricity and formulated the laws of its behavior, he did not know anything about the essence of electric current and its components. His conclusions were applied in practice and changed our lives, and still people had no inkling of the real processes in electromagnetic fields. Only much later were the structures of atoms and of their particles discovered, so that the real substance of electrical currents could be identified. Some people say that if it is sufficient to know the outcome of an event, there is no need to know the real essence of the event, as long as we know that it really takes place and produces the necessary effect. There is even the facetious expression to this end: “One can draw a strait line without knowing that it consists of dots.” Others are ready to dedicate their lives to trying to discover how and why things happen as they do. And because of people like these, the process of innovation goes on and on – because of scientific enthusiasm and inquisitiveness. But we must not forget that all this proceeds with the help of signs and sign-systems, and in the realm of semiotic reality. 19