Cognitive essence of the mathematical picture of the world and the problem of understanding mathematical knowledge

UDC 51:1

https://doi.org/10.20339/AM.02-22.017

Natalia V. Mikhailova, Candidate of Philosophical Sciences, Associate Professor of the Department of Higher Mathematics at Belarusian National Technical University, e-mail: michailova.n@bntu.by

The mathematical picture of the world has general ideas about mathematical objects and their characteristic properties. It is based on some system of initial fundamental basic mathematical concepts and mathematical theories. If the structure of the mathematical picture of the world does not focus on the process of obtaining knowledge, then the philosophy of mathematical education focuses on ways of understanding and substantiating mathematics in terms of the truth of mathematical statements, as well as on ideas about the effectiveness of mathematics in applications.

Key words: mathematical picture of the world, cognitive science, problem of knowledge and understanding.

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