‘Quasi-Boolean Algebra and Foundations of Topology:’ Chinese Mathematical Logician Hu Shihua and the Group of Münster

This paper investigates a less well-known aspect of the history of mathematical logic as advanced by the ‘group of Münster’ in the late 1930s by analysing the work of one of their international members, Hu Shihua. By deconstructing and re-evaluating the main conceptual ingredients of Hu’s doctoral research and placing his work into the context of mathematical logic in Münster, the article also aims to provide some substantial insights into trends and developments in international mathematics and logic in the late 1930s, particularly the diverse developments underlying the early formation of algebraic topology and related fields. Additionally, one of the primary aims of this paper is to provide a concise account of the content and contextual background of Hu Shihua’s formative studies in mathematical logic. This is motivated by the fact that, given Hu’s quintessential role in Chinese mathematical logic in the years following his studies in Münster, a better understanding of his scholarly background may provide significant insights into the history of the discipline during the early socialist period in China (1949-1960s).

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Publication Details

Journal
History and Philosophy of Logic
Published
2025-06-17
DOI
https://doi.org/10.1080/01445340.2025.2494448
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

‘Quasi-Boolean Algebra and Foundations of Topology:’ Chinese Mathematical Logician Hu Shihua and the Group of Münster

Jan Vrhovski
History and Philosophy of Logic
Homotopy and Cohomology in Algebraic Topology
article

‘Quasi-Boolean Algebra and Foundations of Topology:’ Chinese Mathematical Logician Hu Shihua and the Group of Münster

Jan Vrhovski
article en

Abstract

This paper investigates a less well-known aspect of the history of mathematical logic as advanced by the ‘group of Münster’ in the late 1930s by analysing the work of one of their international members, Hu Shihua. By deconstructing and re-evaluating the main conceptual ingredients of Hu’s doctoral research and placing his work into the context of mathematical logic in Münster, the article also aims to provide some substantial insights into trends and developments in international mathematics and logic in the late 1930s, particularly the diverse developments underlying the early formation of algebraic topology and related fields. Additionally, one of the primary aims of this paper is to provide a concise account of the content and contextual background of Hu Shihua’s formative studies in mathematical logic. This is motivated by the fact that, given Hu’s quintessential role in Chinese mathematical logic in the years following his studies in Münster, a better understanding of his scholarly background may provide significant insights into the history of the discipline during the early socialist period in China (1949-1960s).

History and Philosophy of Logic
University of Edinburgh (GB)
Sigma Theta Tau International, UK Research and Innovation
Openalex Percentile: Top 80%
Homotopy and Cohomology in Algebraic Topology
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‘Quasi-Boolean Algebra and Foundations of Topology:’ Chinese Mathematical Logician Hu Shihua and the Group of Münster — Jan Vrhovski · History and Philosophy of Logic (2025) | TGRS Research Map | TGRS