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Philosophy of Sciences

2021 year, number 4

POLYMATH AND THE TRANSFORMATION OF MATHEMATICAL PRACTICE

Alexander Valerievich Khlebalin
Institute of Philosophy and Law, Siberian Branch of the Russian Academy of Sciences, 8, Nikolaev st., Novosibirsk, 630090 Russia
Keywords: mathematical community, distributive knowledge, Polymath, mathematical arguments

Abstract

The article examines the socio-epistemological features of the transformation of the mathematical community and mathematical practice of obtaining and verifying knowledge in new forms of organizing mathematical research on the example of the Polymath platform. It is shown that formal logic models of the distribution of knowledge and obtaining proof in Polymath based on epistemic logic for multi-agent systems not only provide more expressive means of studying arguments in mathematical practice, but also are of great importance for studying the institution of knowledge expertise in traditional forms of organizing mathematical practice.