Статья 'Математика: восстановление определенности (заход от методологии и культурологии) ' - журнал 'Культура и искусство' - NotaBene.ru
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Culture and Art
Reference:

Mathematics: Definiteness Renewal (Methodology and Cultural Studies approach)

Rozin Vadim Markovich

Doctor of Philosophy

Chief Scientific Associate, Institute of Philosophy of the Russian Academy of Sciences 

109240, Russia, Moskovskaya oblast', g. Moscow, ul. Goncharnaya, 12 str.1, kab. 310

rozinvm@gmail.com
Другие публикации этого автора
 

 

DOI:

10.7256/2454-0625.2019.5.29522

Review date:

15-04-2019


Publish date:

02-06-2019


Abstract.

The article discusses a crisis in mathematics. The problems of origin, essence, and justification of mathematics are analyzed. The author presents the concept of mathematics, based on his research in mathematics, including ideas about the "starting subject areas" of mathematics, its constructive basis, the conceptualization of mathematics, the mechanisms of its development. The author shows that mathematics constitutes a complex sphere of activities and the institution of modern, and that is why there will inevitably appear contradictions, as well as the activities for their solution and justification. In the research, the following methodology is used: problem formulation, situational analysis, comparative analysis, construction of new concepts, cultural and historical reconstruction. As a result of the study, it was possible to build a methodological concept of mathematics, discuss the nature of the crisis of mathematics, show that the program of justification of mathematics could not be implemented, and mathematics is facing the task of a new reform. These results are based on the author's genetic and methodological studies of mathematics.

Keywords: challenges of the time, problems, subject, substantiation, crisis, mathematics, community, institution, history, modernity
This article written in Russian. You can find full text of article in Russian here .

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