THE SECOND REVOLUTION IN MATHEMATICS?

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Abstract

The formation and development of category theory, one of the most profound areas of modern mathematics, is discussed. The origins of this theory related to algebraic geometry and algebraic topology are described. Three stages of its development are analyzed: from a means for describing particular mathematical theories and connections between them to a self-sufficient direction, independent of the set-theoretic apparatus, and then to the development of new foundations of mathematics.

About the authors

S. Ya. Serovaisky

al-Farabi Kazakh National University

Author for correspondence.
Email: vyou@yandex.ru

доктор физико-математических наук, профессор

71 al-Farabi Ave., Almaty, 050040, Kazakhstan

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