Abstract

The paper proposes a typology of the scientific theories based on the modality of mathematizing (relying on the kind of mathematics which participates to the theory edification and the level of mathematical organizing of the theoretical frame). This gives us, like the classification of the geometries from the famous -Erlagen Program- initiated by Felix Klein, an internal principle for the connection of the different forms or levels of the theorizing, a constructive basis for the understanding of the complex structural nets of the mature scientific disciplines