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THE ROLE OF AXIOMATIZATION IN THE PROCESS OF MATHEMATICAL THEORY CONSTRUCTION

Abstract

The article covers one of the formalization forms - axiomatization - and its role in the process of construction of mathematical theory and its foundations (abstract mathematical objects). Axiomatic method is used at the stage of systematization of acquired knowledge and is both the result and the means of mathematical knowledge consolidation.

About the Author

S.I. MASALOVA

Russian Federation


References

1. Садовский В.Н. Аксиоматический метод построения научного знания//Философские вопросы современной формальной логики. -М., 1962. -С. 215-262.

2. Сухотин А.К. Науки и информация. -М., 1971. -127 с.

3. Принсгейм А. Ценность и мнимая не-ценность математики//Новые идеи в математике. -СПб., 1913. -Сб. № 1. -С. 15-23.


Review

For citations:


MASALOVA S. THE ROLE OF AXIOMATIZATION IN THE PROCESS OF MATHEMATICAL THEORY CONSTRUCTION. Vestnik of Don State Technical University. 2007;7(3):327-334. (In Russ.)

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ISSN 2687-1653 (Online)