Claude Lobry - La méthode des élucidations successives

arima:1897 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, September 30, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 -
La méthode des élucidations successives

Authors: Claude Lobry

In the process of elaboration of a model one emphasize on the necessity of confronting the model with the reality which it is supposed to represent. There is another aspect of the modelling process, to my opinion also essential, about which one usually do not speak. It consists in a logico-linguistic work where formal models are used to produce prediction which are not confronted with the reality but serve for falsifying assertions which nevertheless seemed to be derived from the not formalized model. More exactly a first informal model is described in the natural language and, considered in the natural language, seems to say some thing but in a more or less clear way. Then we translate the informal model into a formal model (mathematical model or computer model) where what was argumentation becomes demonstration.The formal model so serves for raising ambiguities of the natural language. But conversely a too much formalized text quickly loses any sense for a human brain what makes necessary the return for a less formal language. It is these successive "translations" between more or less formal languages that I try to analyze on two examples, the first one in population dynamics, the second in mathematics.

Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: September 30, 2008
Submitted on: March 26, 2008
Keywords: Bifucation theory, model, non standard analysis, population dynamics,Analyse non standard,dynamique des populations,modèle,théorie des bifurcations,[INFO] Computer Science [cs],[MATH] Mathematics [math]


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