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Philosophy of Sciences

2024 year, number 4

ON EFFECTIVENESS AND UNREASONABLE EFFECTIVENESS OF MATHEMATICS

Vladimir Moiseevich Reznikov1,2
1Institute of Philosophy and Law, SB RAS, Novosibirsk, Russia
2Novosibirsk National Research State University, Novosibirsk, Russia
Keywords: physics, invariance, mathematics, philosophy, formalism

Abstract

There is a widely known statement of Nobel laureate Eugene Wigner that the invariant character of laws in modern physics is a hypothetical cause of the effective application of mathematics in this field of knowledge. He believed that the adequacy of contemporary mathematics for describing physical knowledge has the status of an empirical law of epistemology. In this article, by analyzing works in the field of artificial intelligence, the author confirmed Wigner’s hypothesis. As an example, the works of Pearl, one of the founders of the theory of artificial intelligence, are mentioned, which demonstrate the effective application of mathematics to the study of invariant regularities in computer science described using causal relationships.,