JOURNAL OF DIALECTICS OF NATURE
A Comprehensive, Academic Journal of the Philosophy, History, Sociology and Cultural Studies of Science and Technology
Author Information
DAI Qin
Information
Research Articles
-
A Study on the History of Engels’ Mathematical View Abstract: Engels’ definition of mathematics, “mathematics is the science of studying the quantitative relations and spatial forms of the real world,” is the core of Engels’ mathematical view, which has exerted a profound influence on Chinese mathematics and mathematics educators for several generations. Based on the modern mathematical achievements of mathematicians such as Descartes, Newton and Leibniz, Engels critically inherited the mathematical philosophy of ancient Greek philosophers such as Pythagoras, Plato and Aristotle, and German philosopher such as Leibniz and Hegel, and creatively defined what is mathematics. The three elements in this definition, “real world” “quantitative relations ” and “spatial forms”, have a long historical background and a profound philosophic meaning of mathematics. Mathematicians and researchers on philosophy of mathematics in China and the former Soviet Union criticized the historical limitations of this definition from the characteristics of the development of modern mathematics, and gave new interpretations and added new contents. Key Words: Engels; View of mathematics; Actual world; Quantitative relations; Space formsIssue:Volume 44, lssue 9, September 2022Page: 73-79
-
M. Cantor: The Founder of the Discipline of History of Mathematics in Germany Abstract: M. Cantor was a renowned 19th-century German historian of mathematics and a founding figure of the discipline. He established the first academic chair in the history of mathematics at Heidelberg University, where he served as its inaugural dedicated professor. His magnum opus, the four-volume Vorlesungen über Geschichte der Mathematik, completed over a 28-year period, integrated methodologies from chronological, intellectual, and social history. Adopting an anti-Whiggish perspective, the work systematically traces the entirety of mathematical history from prehistoric times to 1799 through philosophical and cultural lenses.The publication of Vorlesungen über Geschichte der Mathematik not only served as a foundational work in the history of mathematics but, more significantly, M. Cantor infused new vitality into the field in Germany, fostered international academic exchanges in the field, and established a fundamental framework for global research in the history of mathematics. Key Words: M. Cantor; Vorlesungen über Geschichte der Mathematik; History of mathematics; HistoriographyIssue:Volume 48, lssue 7, July 2026Page: 116-124
JOURNAL OF DIALECTICS OF NATURE
- Contact Us
- Address: No.19A Yuquan Road, Beijing, 100049, China
- Phone: +86-10-88256007
- Email:jdn@ucas.ac.cn
Follow Us
© 2014 Copyright of the University of Chinese Academy of Sciences
© 2014 Copyright of the University of Chinese Academy of Sciences
