RIMS Kokyuroku Bessatsu 71 (B):75-92 (2018)

Authors
Tomomi Asakura
University of Tokyo
Abstract
Tanabe Hajime (1885-1962) in his later years explored the so-called "dialectical" interpretation of complex analysis, an important part of his philosophy of mathematics that has previously been criticized as lacking mathematical accuracy and philosophical importance. I interpret his elaboration on complex analysis as an attempt to develop Leibniz's theory of individual notion and to supplement Hegel's view of higher analysis with the development in mathematics such as the theory of analytic continuation and Riemann surface. This interpretation shows the previously underrated philosophico-mathematical significance of Tanabe's argument.
Keywords Philosophy of mathematics   complex analysis   G. W. Leibniz   B. Riemann   H. Tanabe
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