GRAMOTA Publishers suggests publishing your scientific articles in periodicals
Pedagogy. Issues of Theory and PracticePhilological Sciences. Issues of Theory and PracticeManuscript

Archive of Scientific Articles

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. ISSN 1997-292X.
SCIENTIFIC AREA: Philosophical Sciences
To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

License Agreement on scientific materials use.

PROBLEM OF IMPLICIT KNOWLEDGE IN MATHEMATICS

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.
Open the whole article in PDF format. Free PDF-files viewer can be downloaded here.

 

References:
  1. Veil' G. Matematicheskoe myshlenie / per. s angl. i nem. M.: Nauka. Gl. red. fiz.-mat. lit., 1989. 400 s.
  2. Kun T. Struktura nauchnykh revolyutsii // Kun T. Struktura nauchnykh revolyutsii: sb. / per. s angl. M.: AST; Ermak, 2001. S. 5-311.
  3. Lakatos I. Dokazatel'stva i oproverzheniya / per. s angl. I. N. Veselovskogo. M.: Nauka, 1967. 152 s.
  4. Miroshnichenko P. N. Chto zhe razrushal paradoks Rassela v sisteme Frege? // Sovremennaya logika: problemy teorii, istorii i primeneniya v nauke: materialy VI Obshcheros. nauch. konf. (g. Sankt-Peterburg, 22-24 iyunya 2000 g.). SPb., 2000. S. 512-514.
  5. Polani M. Lichnostnoe znanie / per. s angl. M.: Progress, 1985. 344 s.
  6. Sultanova L. B. Neyavnoe znanie v razvitii matematiki. Ufa: RITs BashGU, 2009. 260 s.
  7. Cherch A. Matematika i logika // Matematicheskaya logika i ee primeneniya: sb. st. / per. s angl.; pod red. E. Nagela, P. Sappsa, A. Tarskogo. M.: Mir, 1965. 341 s.

To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

© 2006-2020 GRAMOTA Publishers

site development and search engine optimization (seo): krav.ru