Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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A Study on the Characteristic of Formation of Cavalier's Principle

카발리에리 원리의 생성과정의 특성에 대한 고찰

  • Park, Sun-Yong (Department of Mathematics Education, Yeungnam University)
  • 박선용 (영남대학교 수학교육과)
  • Received : 2011.03.08
  • Accepted : 2011.05.06
  • Published : 2011.05.31
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Abstract

This study inquires into the change between two method of indivisibles, which Cavalier suggested. To cope with the objection of use of indivisibles, he modified his first method of indivisibles. Through the analysis of this transition, this study reveals the feature that Cavalier changed into reflecting the density of the figures so as to avoid the paradox related to the indivisibles and this change has the aspect of incomplete lemma-incorporation method according to Lakatos' theory.

이 연구에서는 카발리에리가 제시한 두 가지 불가분량법 사이의 전환에 대해 고찰한다. 불가분량법 사용에 대한 반대에 대응하기 위해, 카발리에리는 그가 처음 제시했던 불가분량법을 수정하였다. 이 과정에 대한 분석을 통해, 이 연구에서는 카발리에리가 불가분량과 관련된 패러독스를 피하기 위해 도형의 밀도를 반영하는 방향으로 불가분량법을 바꾸었다는 면과 함께, 라카토스의 이론에 근거해, 이러한 전환이 불완전한 보조정리 합체법으로서의 특정을 지니고 있음을 밝힌다.

Keywords

Acknowledgement

Supported by : 영남대학교

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