• Title/Summary/Keyword: 1991 Mathematical Subject Classification

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Zermelo 이후의 선택공리

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.9 no.2
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    • pp.1-9
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    • 1996
  • This paper is a sequel to [26]. We investigate how the Axiom of Choice has been accepted after Zermelo introduced the Axiom in 1904. The response to the Axiom has divided into two groups of mathematicians, namely idealists and empiricists. We also investigate how the Zorn's lemma (1935) has been emerged. It was originally formulated by Hausdorff in 1909 and then by many other mathematicians independently.

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순서와 위상구조의 관계

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.10 no.1
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    • pp.19-32
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    • 1997
  • This paper deals with the relationship between the order structure and topological structure in the historical point of view. We first investigate how the order structure has developed along with the set theory and logic in the second half of the nineteenth century. After the general topology has emerged in the beginning of the twentieth century, two disciplines of the order theory and topology give each other a great deal of effect for their development via various dualities, compactifications by maximal filter spaces and Alexandroff's specialization order, which form eventually a fundamental setting for the development of the category theory or functor theory.

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유휘와 구장산술

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.11 no.1
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    • pp.27-35
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    • 1998
  • As Chinese philosophy has developed by commentary for the original texts, the Nine Chapters has been greatly improved by the commentary given by Liu Hui and it was transformed from an arithmetic text to Mathematics. Comparing his commentary and Chinese philosophical development up to his date, we conclude that Liu Hui was able to make such a great leap by his thorough understanding of philosophical development.

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