The function of diorism in ancient Greek analysis

Ken Saito, Nathan Sidoli*

*この研究の対応する著者

研究成果: Article査読

11 被引用数 (Scopus)

抄録

This paper is a contribution to our knowledge of Greek geometric analysis. In particular, we investigate the aspect of analysis know as diorism, which treats the conditions, arrangement, and totality of solutions to a given geometric problem, and we claim that diorism must be understood in a broader sense than historians of mathematics have generally admitted. In particular, we show that diorism was a type of mathematical investigation, not only of the limitation of a geometric solution, but also of the total number of solutions and of their arrangement. Because of the logical assumptions made in the analysis, the diorism was necessarily a separate investigation which could only be carried out after the analysis was complete.

本文言語English
ページ(範囲)579-614
ページ数36
ジャーナルHistoria Mathematica
37
4
DOI
出版ステータスPublished - 2010 11

ASJC Scopus subject areas

  • 数学 (全般)
  • 履歴

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