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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2025 Volume 26, Issue 3, Pages 307–334 (Mi cheb1568)

HISTORY OF MATHEMATICS AND APPLICATIONS

Mathematics and humanities: from the history of relations

A. V. Boeva, Z. Z. Mukhina, R. R. Mukhin

Stary Oskol Technological Institute named after A. A. Ugarov (branch) of the National Research Technological University “MISiS” (Stary Oskol)

Abstract: The work is devoted to the history of the relationship between mathematics and its applications in the humanities, in this case with economic sciences, linguistics, literary criticism, history. It is generally recognized that the role of mathematics in the humanities, where man is invariably present with his emotions, preferences, moods and other manifestations of the human spirit, can be useful in the computational and statistical aspects. The main question is how productive can the role of mathematics be, can we expect fundamentally new results from mathematical methods? Consideration of the impact of mathematics on various humanities convinces us of a positive answer to this question. The extent of the application of mathematics is extremely broad: from the accuracy and clarity of the conceptual apparatus, the penetration of the "mathematical spirit" to solving problems according to the standards of rigor and logical precision adopted in mathematics itself, from quantitative methods to qualitative models.

Keywords: mathematics, humanities, human spirit, conceptual apparatus, quantitative methods, qualitative models.

UDC: 519(09)

Received: 26.12.2024
Revised: 27.08.2025

DOI: 10.22405/2226-8383-2025-26-3-307-334



© Steklov Math. Inst. of RAS, 2026