MATHEMATICAL RATIONALITY AND ITS ONTOLOGICAL BASIS

Bukin Dmitry Nickolayevich
Candidate of philosophical sciences, Associate Professor, Sociology and Philosophy Department, Volzhskiy Institute of Economics, Pedagogy and Law
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Abstract: The article deals with the problem of mathematical rationality as an important cultural value of human civilization. The author substantiates the categorical analysis application to the study of mathematical rationality ontological basis. The relation of key mathematical concepts and system of ontological and modal categories are considered.

Key words: rationality, mathematical object, ontological categories, modal categories.

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