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1 REHSEIS - Recherches Epistémologiques et Historiques sur les Sciences Exactes et les Institutions Scientifiques

Abstract : We consider the question of the predicate of existence for a physical object from both points of view of the evolution of theories and concepts and of the theoretical structure, considering that they are not mutually exclusive but that, taken together, they can bring to light evidences that would remain otherwise unnoticed. A first aspect of our inquiry is related with -novelty-, i.e., that which was unthought before springing up and being established. Then we deal with the question of the physical meaning of an experimental result and its relation with the theoretical system - network of concepts and principles shaping a structure - that is proposed to provide intelligibility, considering the variations of meaning which it suffers through the evolution of theoretical explanations. Mathematization of physics is essentially related to its characteristic predictability. We then analyze of what predictability is : of existence or property ? and take as a clarifying example that of -indistinguishibility- of quantum particles. Dealing with mathematization, we have to consider the questions of truth in mathematics and of -mathematical reality- as they stand after the deontologization of mathematics, and to investigate how they are reflected in the problems rised by the use of mathematical notions in physical theoretical constructions. We are then able to confront ourselves with the question of the nature of predictability for physical objects, considering various forms of predictions, and the difference between prediction and prevision. Finally, any mathematization is a formalization, and physics sets in its own genuine and fundamental manner the problem of the relationship between the formal and the content, whether this last one is considered as pointing at the real or at the empirical.

Keywords : deontoligization of mathematics mathematization of physics physical meaning physical objects prediction prevision quantum particles





Autor: Michel Paty -

Fuente: https://hal.archives-ouvertes.fr/



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