METHODICAL AND METHODOLOGICAL CONCLUSIONS FROM THE BASIC TENDENCIES OF HISTORICAL DEVELOPMENT OF MATHEMATICS

Abstract: 

The author of the article examines the historical development of mathematics. He shows that the dynamics of the historical development of mathematics is reasonable to be reflected by means of methodology and not by means of higher mathematics. Among these means the author mentions the following: the use of physical time in Geometry theorem proving; the use of schemes showing the genesis of minor concepts from the main concepts; the use of historical method in presenting the theoretical material.

Key words: 

mathematics, technique, methodology, history, historicism, philosophy, computer science.

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