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SOURCE:   Historical, Philosophical, Political and Law Sciences, Culturology and Study of Art.
Issues of Theory and Practice
. Tambov: Gramota, 2015. № 8. Part 2. P. 191-193.
SCIENTIFIC AREA: Philosophical Sciences
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Sultanova Linera Bairakovna
Bashkir State University

Abstract. In the article the problem of implicit knowledge is posed and detailed that is interpreted by the author as a problem of revealing the implicit elements of mathematical knowledge while justifying mathematical theories. The problem is conditioned by the lack of the rational gnoseological mechanisms of implementing this procedure, and also by the fact that not all implicit elements are generally subject to revealing. The researcher relies on the broad context of modern philosophy of mathematics, and also on her own previous works.
Key words and phrases: неявные элементы знания, обоснование, доказательство, логика, уровень строгости, геометрия, скрытые леммы, implicit elements of knowledge, substantiation, proving, logic, level of rigor, geometry, latent lemmas.
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