The Maximal Generality Fractal Interpretation of Information

In real condition, elements form sets whose delimitation is vague, thus defining fuzzy sets in Zadeh's acception or fluids sets according to Gentilhomme's definition. Any system characterized by uncontrollability and disorder in which the least changed in its status at a certain moment rapidly leads to important changes in the status measured at a later moment can be defined as a chaotic system. The interdisciplinary study of chaotic system has become a science of complexity or the science of the chaos. Science has always searched the order in a chaotic universe and the science of the chaos uses a geometry named fractal; fractals are defined as a form at which fractal dimension surpassed its topologic dimension or as any form at which the parts have as many details as the whole or as forms which are strictly self-similar and not statistically self-similar. The notion of information necessary involves the notion of order and the notion of order involves the rationality of system as through the relation information shows how rationally organized the elements of the system are and what rational functionality they fulfill within the order which defines the system. By introducing the concept of structural-diachronic cell associate whit the elementary amount of information (the bit) the paper interprets the concept of information in a fractal manner of maximal generality, in the sense that any fraction of the bit is a bit in itself, the structural-diachronic cells being strictly self similar. The fractal interpretation of the concept of information is the theoretical support of the Basis of Universal Knowledge Similar to the human brain.