ABSTRACT
Professor Gani refers in his paper to statistics as 'the model-building branch of science' and to mathematical models as 'a specialized extension of the internalized model of the world' a la Piaget. Mathematical reasoning in the perception of reality is no doubt a possible model for the representation of relationships; doubts begin when the mathematical model is accepted as a valid representation of all spheres of reality. The core of internalized models of the world lies in the child's growing capacity to grasp relationships in the world around him. The usefulness of a specific model of a specific sphere of reality lies in its capacity to express the basic relationships characteristic of this sphere and to infuse them with meaning. The usefulness of statistical models has to be evaluated not only in terms of predictive capacity but also in terms of ability to express meaningful relationships.
