By Wolfgang Wildgen
René Thom, the well-known French mathematician and founding father of disaster conception, thought of linguistics an exemplary box for the applying of his common morphology. it really is stunning that physicists, chemists, biologists, psychologists and sociologists are all engaged within the box of disaster concept, yet that there was nearly no echo from linguistics. in the meantime linguistics has advanced towards René Thom’s intuitions approximately an built-in technology of language and it has turn into an important activity to check, replace and complicated the proposals made through Thom and to embed them within the framework of recent semantic idea.
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Extra info for Catastrophe Theoretic Semantics: An Elaboration and Application of René Thom's Theory
A more exhaustive application will be possible as soon as the social dynamics of the forming and changing of linguistic tools are fully understood (we presume that this can be done using catastrophe theory in the framework of game theory). The last and richest path in the bifurcation set of the cusp crosses the Max well-line and there appears a new structure: the conflict of attractors. 4.. We summarize the qualitative features of the process in diagram 8. e. x) are present: — The fold-catastrophe leading to the archetypes of death and birth, 46 WOLFGANG WILDGEN Diagram 8.
The algebraic treatment of language which resulted from this evolution does not, however, have a true concept of time: time in process and time in evolution. The catastrophe theoretic model is a synthesis which reintroduces real time in the structuralist framework, thereby creating a dynamic model of language. The General Morphology proposed by Thorn could replace the reductionist formal models considered up to now and bring linguistics to a new level of theoretical reasoning. We cannot deal with Rene Thorn's philo sophical perspective in more detail, as our aim is a presentation and elaboration of his proposals in semantics.
The agent M1 (in our case Paul) has no catastrophic frontiers. The gestaltcharacter of this archetype creates a dynamic background such that in (i) to (iii) the total process is virtually present. Those who come to, will be in and probably will leave later; the ones who are in a domain probably entered it and will leave it again, and those who leave it, probably entered it and certainly were in it It is interesting that the inference from to A or is less certain than the inference from A to and vice versa.