Thursday, May 2, 2024

Structural Semantics—A Deeper Dive

As we saw in our discussion of How Language Works, there are two major disciplines in Linguistics: Semantics and Semiotics. Often Computational Linguistics depends upon statistical methods for counting words and using frequency to determine importance. To wit, the more a word is used the more important it must be as a concept. This is a semiotic approach, looking to individual words and their meaning. In contrast, Semantics is the relationship of words to each other within the sentence and paragraphs of a text, the context that gives a greater intent to the individual words.

Why does this matter to NLP and Machine Learning? Basically, if you don’t understand how language functions, how can you teach a machine to process it? It’s as simple as that. For too long, Computational Linguistics has been dependent on pure mathematics and ignored the deeper structures of language. It only touches the most essential elements with Part of Speech (POS) tagging and parsing of grammar for a few languages. The grammar parsers look at simple Subject → Verb → Direct Object relationships. This stuff is hard to perform, and, in the meantime, the discipline has come a long way by just counting words and looking at how close or far they are from each other in a text. But it is long past time that the Linguistics of Computational Linguistics takes on a greater role.

In simplest terms, structuralists take linguistics as a model and attempt to develop “grammars”—systematic inventories of elements and their possibilities of combination—that would account for the form and meaning of literary works; post-structuralists investigate the way in which this project is subverted by the workings of the texts themselves. Structuralists are convinced that systematic knowledge is achievable by moving the focus of criticism from thematics to the conditions of signification, the different sorts of structures and processes involved in the production of meaning. Semiotics, the successor to structuralism, is best defined as the science of signs. It involves the study of any medium as a semiotic study of signs. While the analysis of content involves a quantitative approach to the analysis of a text, semantics seeks to analyze texts as structured wholes.

The history of this discipline goes back to the early 1900s and a gentleman named Ferdinand de Saussure, who kicked things off with his seminal work Cours de Linguistique Générale (1918). Things really took hold as a school of thought in 1950’s and 60’s with contributions from A. J. Greimas and François Rastier. Let’s take a moment to understand the importance of how this systemic breakdown of grammar and words works.

Key to Saussure's theory is the concept of “signs” in that each language is composed of linguistic units of sound patterns that are represented by written symbols. These symbols are referred to as signs which reference a concept, or the thing signified. This is a psychological and not necessarily a material concept, and therefore a social construct. Both components of the “sign” are inseparable, like two sides of a coin. The value of a sign is determined by all other signs in the corpus of the language, adding to its nature as a social construct. Therefore the signs in French are the sum total of the French culture just as the signs in English reflect English culture and its sum total history of melding various languages through invasions and conquest. This leads to the maxim that "culture is instantiated in language."

Meaning

For signs there are syntagmatic and paradigmatic relationships. A syntagmatic relationship involves a sequence of signs that together create meaning. A paradigmatic relationship involves signs that can replace each other, usually changing the meaning slightly with the substitution. Think of it as a syntagmatic relationship as grammatical, and a paradigmatic relationship as a list of synonyms.

A syntagma is an elementary constituent segment within a text. Such a segment can be a phoneme, a word, a grammatical phrase, a sentence, or an event within a larger narrative structure, depending on the level of analysis. Syntagmatic analysis involves the study of relationships among syntagmas.

Paradigmatic analysis is the analysis of paradigms embedded in the text rather than of the surface structure of the text which is termed syntagmatic analysis.

The concept of syntagmatic and paradigmatic analysis was extended to narrative discourse by A. J. Greimas best known for his Semiotic Square. Vladimir Propp, in his analysis of Russian folk tales, Morphologie du conte (1928), concentrated on an internal analysis rather than historical explanations to formulate his classifications for folk tales. In distinguishing between form and structure, he argued that structure included both form and content, whereas form restricted one to examining the medium of a given system of communication. Propp’s seminal work greatly influenced Greimas,[1] who replaced Propp’s concept of “functions” with that of “actants.” Greimas developed a semiotic approach to narrative structure, the “semiotic square”[2] and the “actantial model.”[3] He uses the term “seme” (seed) to refer to the smallest unit of meaning in a sign.

Greimas’ model of the semiotic square, where the interaction of opposing symbolic interpretations creates semantic categories, is based on three relationships: contradiction, contrariety, and complementarity.

“Cette structure élémentaire (...) doit être conçue comme le développement logique d’une catégorie sémique binaire du type blanc vs. noir, dont les termes sont, entre eux, dans une relation de contrariété, chacun étant en même temps susceptible de projeter un nouveau terme qui serait son contradictoire, les termes contradictoires pouvant à leur tour contracter une relation de présupposition à l’égard du terme contraire opposé.”[4]

"This elementary structure (…) must be conceived as the logical development of a binary semic category of the type white vs. black, whose terms are, between them, in a relation of contrariety, each being at the same time capable of projecting a new term which would be his contradictory, the contradictory terms being able in their turn to contract a relation of presupposition with regard to the term opposite opposite. ”

Courtés uses this figure to summarize the theories of semantic relations proposed by Greimas in both Sémantique structurale (1966) and Du Sens (1970). Using the example of true and false, S1 represents true, S2 represents false,  not true, and  not false. Its primary value resides in its usefulness as a means of establishing for a text the pertinent opposition(s) which generate(s) signification.

One may substitute any valid set of contradictory terms into the semiotic square. For example, discussing theories of the Fantastic, Fantasy, or Science Fiction, “real” and “supernatural” provide the contradictory pair. One of the most prominent types of operations anticipated by the model of veridiction[5] is the narrativization of /otherness/ in the process of linking, or concatenating, episodes that contain examples of the supernatural. The narrative dimension of a text signifies itself as a series of states and the transformations linking them.[6] There are two states, conjunction (symbolized as ∩) and disjunction (symbolized as Ụ) , while there can be numerous types of transformations.

Semiotic analysis details the relations between these static and dynamic aspects of narrative by studying the characters and the roles that they play in the succession of transformations between states. According to Greimas, the actantial model defines the relationships between characters according to six categories of actants:[7] the subject (who desires the object), the object (which is desired by the subject), the helper (who aids the subject), the opponent (who opposes the subject), the sender (who initiates the quest of the subject), and the receiver (who benefits from the acquisition of the object). Greimas’ system is particularly appealing because of the way it highlights the Subject and the desire for the Object. The actantial model is often represented in the following diagram:[8]

The Greimassian method of narrative analysis creates correspondences among the various themes of a story, which serve as the spatio-temporal coordinates for the continuity of the intrigue. The narration of a story that is encoded by the author thus encourages the cognitive and pragmatic act of decoding the meaning of a text by the reader.[9]

Stages of a structural analysis

A structural analysis can be said to have three major stages. First, it is necessary to determine the principal actants, their relationships, and the resulting episodes of the narrative (syntagmatic analysis). Segmenting the text in this manner leads to the problem of deciding what is significant and what is secondary. Next, the critic must establish major divisions or units of the text that underlie the episodic structure in order to determine the larger, overall meaning of the narrative pattern. As a final step, the relationship between episodes is defined (paradigmatic analysis).

The syntagmatic analysis usually involves studying the text as a narrative sequence. The first step in such an analysis is to identify the actants and their relationship to each other. Who is the subject? Can there be multiple subjects (and therefore multiple points of view) within a single narrative? Can a subject desire multiple objects and how do the conflicting desires affect the outcome of the narration? The relationship of desire between the subject and object provides motivation and closure to the narrative. The social implications of desire are manifested in the motivation of the subject. Does his desire for the object benefit the society at large or is it self-serving? On another level, the consequences of desire are played out within the “sender–object–receiver” relationship. The “sender” is the agent who grants the subject permission to pursue the object—for example, King Arthur initiates the quest for Guinevere in Le Chevalier de la Charrette by sending Gawain to search for Kay and the queen. The most frequent example of the receiver, the one who possesses the object at the end of the story, is the hero’s society. In this example Arthur’s court and kingdom benefit from the return of their queen and seneschal. Secondary characters fulfill the roles of helper if they aid the hero in acquiring the object. When hindering the hero from reaching the object, secondary characters take on the function of opponent. By identifying the major roles in the text, one is able to divide the text into units and episodes. A unit represents a major segment of the text, while episodes are subdivisions of units.

The next stage of a structural analysis is to formulate a narrative structure, or outline, for a given text. That structure is often expressed in terms of equations. These serve as a means of summarizing the relationship of desire between the subject and object. When linked together, the narrative units permit one to quantify the structure of the whole text. These equations reveal the narrative development of actants as they interact with each other and the object of desire. Greimas, in his Sémantique structurale, proposed a mathematical representation of semiotic structures in order to more precisely reveal the hierarchical structure.[10] In the preface to Courtés’ book, Greimas reemphasizes that the division of a text may be based on the various actantial and thematic roles of interaction with the object.[11] Courtés builds upon the work of Greimas by incorporating the concept of “isotopes,” which are defined by Greimas as a redundant set of semantic categories which makes possible a uniform reading of the narrative.[12]

Courtés’ work specifies a method of equations used to describe the disjunctive and conjunctive states of characters.[13] When a subject (S), such as the hero, obtains an object (O), he is said to be in a state of conjunction (symbolized as ∩) with that object, represented by the formula UN = S ∩ O, where UN is the narrative unit. When the hero is separated from the object he desires, he is said to be in a state of disjunction (symbolized as ), represented in the formula as UN = S Ụ O. At any given moment in a text, the opponent may possess the object desired by the subject. The subject is thus a potential agent of the function(s) that will bring him into a state of conjunction with the object. The transformation enacted in this instance is an exchange by transfer of the object from the opponent to the subject. The process whereby the subject realizes this objective is called a narrative program.[14]

According to Greimas, the final step in this type of structural analysis is to examine the ways in which the various narrative units (or situations) relate to each other. This is referred to as the paradigmatic analysis. The distinction between paradigmatic and syntagmatic structures is a key concept in structuralist semiotic analysis. These two dimensions are often represented as axes, where the vertical axis is the paradigmatic and the horizontal axis is the syntagmatic. A paradigm is a set of associated signs which form a defining category of meaning or significance, such as “love.” A paradigmatic analysis of a text studies patterns other than internal relationships (which are covered by the syntagmatic analysis). The use of one paradigm rather than another shapes the preferred meaning of a text. This is the author’s encoded meaning for the text which the reader must decode.

François Rastier continues the work of Greimas by developing a unified theory of Interpretive Semantics. You can learn more about Interpretive Semantics and Semantic Classes by reading this overview.

Again, why should we care in this modern age? What relationship does narratology and storytelling have to the business world seeking answers to domain-specific issues such as finding bad people before they commit cybercrimes, creating algorithms to sell more widgets, or automating boring tasks in the back office so that people can focus on the creative work they do best? In reality, there is always some object that someone is seeking:

  • A business is seeking profits by providing a service to clients.
  • The clients are seeking a product or service that facilitates or eases their way of operating.
  • A hacker is trying to steal your data.

Each of these use cases is a story in progress, there is a Subject seeking an Object. Sometimes there is an Opponent or Villain trying to keep the Subject from the Object. It’s a tale as old as time. Whether talking about mythologies or common business practices Subject → Verb → Direct Object is the formula with variations on that theme. It’s the variations that make the story interesting.

“In the end, we’ll all become stories. Or else we’ll become entities. Maybe it’s the same.” –Margaret Atwood, Moral Disorder

S. Bolding, Copyright © 2021 · Boldingbroke.com


[1]      “ ... la sémiotique française a voulu voir dans l’œuvre de Propp un modèle permettant de mieux comprendre les principes mêmes de l’organisation des discours narratifs dans leur ensemble.” A. J. Greimas, “Préface,” in Joseph Courtés, Introduction à la sémiotique narrative et discursive (Paris: Hachette, 1976) 5.

[2]      A. J. Greimas, Du sens: Essais sémiotiques (Paris: Seuil, 1970); Dictionnaire raisonné de la théorie du langage (Paris: Hachette, 1979).

[3]      Greimas described the actantial system in Sémantique structurale (Paris: Larousse, 1966); he has elaborated upon his concepts somewhat in later writings, such as Du sens (1970), and in Sémiotique narrative et textuelle (Paris: Larousse, 1973).

[4]      A. J. Greimas, Du Sens…, 160.

[5]      Veridiction concerns the manner in which the intertextual category “true” signifies differentially from the other categories in the model. J. Courtés, Introduction à la sémiotique…, 131–36; see also A. J. Greimas and J. Courtés, “The Cognitive Dimension of Narrative Discourse,” New Literary History 7 (1976): 433–47.

[6]      A. J. Greimas, Du Sens…, 157–83; Claude Bremond, Logique du récit (Paris: Seuil, 1973) 11–128; Seymour Chatman, Story and Discourse: Narrative Structure in Fiction and Film (Ithaca, N.Y. and London: Cornell UP, 1978) 15–145.

[7]      The English translations of Greimas’ terms are taken from Gerald Prince, Dictionary…, 40, 67, 80, 86, 93.

[8]      Reproduced from A. J. Greimas, Sémantique structurale (Paris: Larousse, 1966) 180. For a discussion of the various actantial roles and models, see specifically pages 129–134, 172–191.

[9]      A. J. Greimas, Maupassant: La Sémiotique du texte (Paris: Seuil, 1976) 167.

[10]    “L’exemple des mathématiques, mais aussi de la logique symbolique et, plus récemment encore, de la linguistique, montre ce qu’on peut gagner en précision dans le raisonnement et en facilité opératoire si, en disposant d’un corps de concepts défini de façon univoque, on abandonne la langue « naturelle » pour noter ces concepts symboliquement, à l’aide de caractères et de chiffres.” Greimas, Sémantique structurale…, 17.

[11]    Greimas gives a clear summary of his actantial model as it relates to the formulaic representation of narrative structures in “Préface,” Introduction à la sémiotique narrative et discursive (Paris: Hachette, 1976) 5–25.

[12]    “Par isotopie nous entendons un ensemble redondant de catégories sémantiques qui rend possible la lecture uniforme du récit...” Greimas, Du Sens…, 188.

[13]    For an example of the application of such formulas to a text, see Part II of Courtés’ book, where he applies this method to Cinderella. Courtés, op. cit., 111–138. François Rastier is another critic who uses similar formulas to represent structural relations on a semantic level. François Rastier, Sémantique interprétative (Paris: Presses Universitaires de France, 1987). In particular, see Part III, “Le Sémème dans tous ses états” and Part IV, “Le Concept d’isotopie.” Donald Maddox applies the theories of Greimas to Erec et Enide in Structuring and Sacring: The Systematic Kingdom in Chrétien’s Erec et Enide (Lexington: French Forum, 1978). See especially Chapter 3, “Segmental Reading: The Structure of Content,” 41–72.

[14]    J. Courtés, op. cit., 62–100.


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