3.39 - 3.48


Emulations


3.39

Within an idiom of algebraic structure, logical formalization is not so far away from topological schematization.  The Klein group operation resulting in no change corresponds to paths that do not cross catastrophic strata in Petitot's elementary catastrophe representation of the semiotic square.

3.39

3.40

Whether or not this overlooked isomorphism between representations of the Klein group as a table of operations and as a square-shaped diagram resolves the logical/syntactic binary that informs Ricoeur's discourse, it opens a new vista.  Both the Klein group comparison and Petitot's schematization demonstrate that the generative trajectory with some adaptations may be able to account for steady states, those stretches of discourse where no events are said to happen.  The narrative may be at a standstill and the narration carries on.  Thus, the nuance between no events and nothing happens.

3.40

3.41

Often the affinity of narrative doing to moments of stasis turns on this subtle distinction.  For example, in a work appearing the same year as his study of Greimas's generative trajectory, Ricoeur postulates that the complexity of narrative activity arises from its power to combine sequence and configuration.  This he characterizes as a competition:

tout récit peut être conçu comme la compétition entre sa dimension épisodique et sa dimension configurationnelle, entre séquence et figure. (Narrativité 21)
any narrative can be envisaged in terms of the competition between its episodic dimension and its configurational dimension, between sequence and figure.


3.41

3.42

What if the dimensions were not irremediably set in opposition?  What if one considered sequence and figure to collaborate?  One would face a machine.  Every description as a state of being (configuration) possesses indexes translatable into questions for configuration's transformation (sequence).  The nucleus of a narrative would be a description plus a question.

3.42

3.43

Just as a Turing machine's configuration can be interpreted as states of being or as instructions, a story can be considered an apparatus processing descriptions and questions, figures and sequences.

3.43

3.44

The locus of configuration has shifted.  Or rather it has expanded.  Configuration is not only an attribute belonging to the narrative, to the story.  It also belongs to narrative structure and to narrativity.

3.44

3.45

A story is at once product and apparatus of production.  It is an autopoetic structure.  It will take a picture, a question, a description, an imperative and transform either it, itself, or both.  A story is a machine that learns.  It emulates a model of the human nervous system, especially that described in his 1970 essay "Biology of Cognition" by Humberto Maturana:

Learning is not a process of accumulation of representations of the environment; it is a continuous process of transformation of behavior through continuous change in the capacity of the nervous system to synthesize it.  Recall does not depend on the indefinite retention of a structural invariant that represents an entity (an idea, image, or symbol), but on the functional ability of the system to create, when certain recurrent conditions are given, a behavior that satisfies the recurrent demands or that the observer would class as a reenacting of a previous one. (Maturana 45)

This is closely akin to Greimas's statement on transcoding (n8).  For him it is possible to summarize the complementary activities of coding and decoding by the notion of "un algorithme de démarches qui, à partir d'instructions initiales, se développent comme des règles d'un savoir faire implicite qu'il s'agit de formuler" [an algorithm of procedures which develop like the rules of an implicit know-how which must be formulated from initial instructions] (Du Sens 245).

3.45

3.46

The recreation of behaviour and the generation of stories are not only isomorphic.  They are also linked by feedback and reduplication.  Not only is storytelling a type of behaviour, it also emulates behaviour.  It is both the real thing and a rehersal.  By enabling observation, it permits desire.  In his analysis of the modelization of the actants in terms of wanting to do, knowing how to do and being able to do, Greimas begins with wanting to do.  It is possible to begin elsewhere.

3.46

3.47

Maturana in his introdution links the ability to observe and the capacity for desire.  "If human beings were not observers, or capable of being so, the stabilization of their properties would not appear to matter because they would not be able to desire something else" (xxxviii).

3.47

3.48

As a signature of desire, a question might modify a description, might modify itself or change nothing.  It's that banal.  Just as Ricoeur concludes, applications of semiotic squares are hit and miss.  Some seem more or less forced; others yield true heuristic value.  Like all autopoetic structures, the semiotic square is sensitive to initial conditions (n9).  Likewise, the transcodability of the story told, the picture drawn and the questions asked, all depends on where one begins.  Eye or ear.  Child or parent.

3.48


wake bridge prow





© François Lachance, 1996