SUPRARATIONAL COMPONENT OF MATHEMATICIANS' TRADITION IN INDIA
Vadim Vladimirovich Ostanin1,2, Mikhail Albertovich Subotyalov3,4
1Altai State Agrarian University, 73, Krasnoarmeiskiy av., Barnaul, 656049, Russia
2Altai State University, 61, Lenin av., Barnaul, 656049, Russia
3Novosibirsk State Pedagogical University, 28, Vilyuyskaya st., Novosibirsk, 630126, Russia
4Novosibirsk National Research State University, 1, Pirogov st., Novosibirsk, 630090, Russia
Keywords: mathematics, Indian mathematics, history of mathematics, history of science, religion, philosophy
Abstract
He article deals with the poorly studied topic of scientific typologization of Indian mathematicians’ research lines, as well as the factor of their personality in mathematical science. This study pays special attention to the suprarational ( superrational , or pararational ) aspect of Indian mathematicians’ personalities, since their religious ideas and philosophical intuitions were obviously not only the most important components of their characters, but also often directed their research. The pre-systemic and systemic periods and the period of personalities of Indian mathematics are considered. Already the first great representatives of Indian mathematics (Aryabhata, Varahamihira and Brahmagupta) realized the principle of suprarationality and each of them formed a whole trend in the historic advancement of mathematics in India - from the free coexistence of science and religion to their synthesis and then to their opposition.
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