FORMAL AXIOMS DEMONSTRATING IN THE IDENTIFICATION OF THE STRUCTURE OF METAL

The known theorem of Godel's incompleteness of formal axiomatic exhibited in the identification of an object, triggers the application of artificially created "tools" reducing this incompleteness. The use of statistics in the analysis of metal structure, suggests about the differences in the image of thin resisting intractable deterministic analysis, are the result of computational irreducibility, the results of the process of obtaining the metal. If the case of computational irreducibility, was not observed, the user would find much more accurate way to determine the connection between the metal structure with mechanical properties. S. Bir recommended use the principle of "external addition" based on the application for formulating statements of a higher level of language that should not be formulated in terms of the language used before for partial elimination of the incompleteness of formal axiomatic statements. The selected solutions, expressed with a higher level of lan-guage, called on to eliminate defects of the original language used. The use of the newly elected language, serves as a practical method aimed at partial overcoming of the difficulty is to be a consequence arising from Gödel's theorem. It is expected new language is not able to give an insoluble approval to the exact definition and you will need the use of higher-level languages for this. S. Bir recommended to go out the initially selected language, but at the same time not to break away from the re-al situation, it should be attached to such a property system inextricably linking to its real existence. Due to a permanently evolving science, it will be more high-level language with lapse of time and it will be formu-lated deductively complete axiom which can be applied to the analysis of the processes of self-organizing systems of any nature.