댓글 쓰기 권한이 없습니다. 로그인 하시겠습니까?
한국과학사학회지, 제38권 제2호 (2016), 351-376
[Research Paper] What Did They Mean by “Calculation Principles”?: Revisiting Argumentative Styles in Late Ming to Mid-Qing Chinese Mathematics
by Su Jim-Hong and Ying Jia-Ming
첨부파일 '1' |
---|
초록 | This article discusses the influence that two versions of the Elements had in Ming and Qing China as well as Chinese scholars’ efforts to “integrate” (huitong 會通) Western and Chinese mathematics into a unified system in terms of argumentative styles in mathematics. Although much high praise was given to the axiomatic-de-ductive system of Euclid’s Elements, numerical arguments and problem-solving re-main important traits in the works of Chinese scholars. The compilation of the Shuli jingyun 數理精蘊 and the inclusion of another version of the Elements in it again prompted East Asian mathematicians to reflect more upon their methods of argu-mentation, and later scholars began to write texts whose arguments are more abstract than numerical. This paper presents examples taken from the works of several rep-resentative scholars from the late Ming to the mid-Qing periods to argue that their efforts of huitong produced argumentative styles that are a combination of both Chi-nese and Western approaches, and that there was a trend of moving from concrete calculations to general arguments in mathematical texts throughout the course of history. Finally, the authors conclude that what 17th and 18th century Chinese math-ematicians meant by “calculation principles” (suanli 算理) was never the kind of pure deduction in the Euclidean manner, but a combination of induction and deduc-tion, with the help of intuition, for the purpose of problem-solving. |
---|---|
주요어 | suanli (calculation principles), Chinese mathematics, late Ming to mid-Qing period, Euclid’s Elements, Shuli jingyun |
Su Jim-Hong and Ying Jia-Ming, "What Did They Mean by “Calculation Principles”?: Revisiting Argumentative Styles in Late Ming to Mid-Qing Chinese Mathematics," The Korean Journal for the History of Science 38:2 (2016), 351-376.
Category
- 제45권 (2023)
- 제44권 (2022)
- 제43권 (2021)
- 제42권 (2020)
- 제41권 (2019)
- 제40권 (2018)
- 제39권 (2017)
- 제38권 (2016)
- 제37권 (2015)
- 제36권 (2014)
- 제35권 (2013)
- 제34권 (2012)
- 제33권 (2011)
- 제32권 (2010)
- 제31권 (2009)
- 제30권 (2008)
- 제29권 (2007)
- 제28권 (2006)
- 제27권 (2005)
- 제26권 (2004)
- 제25권 (2003)
- 제24권 (2002)
- 제23권 (2001)
- 제22권 (2000)
- 제21권 (1999)
- 제20권 (1998)
- 제19권 (1997)
- 제18권 (1996)
- 제17권 (1995)
- 제16권 (1994)
- 제15권 (1993)
- 제14권 (1992)
- 제13권 (1991)
- 제12권 (1990)
- 제11권 (1989)
- 제10권 (1988)
- 제9권 (1987)
- 제8권 (1986)
- 제7권 (1985)
- 제6권 (1984)
- 제5권 (1983)
- 제4권 (1982)
- 제3권 (1981)
- 제2권 (1980)
- 제1권 (1979)
분류 | 제목 | 연 | 쪽 |
---|---|---|---|
제38권 제2호 |
[Research Paper] “The Nearest Faraway Place”: South Korean Medical Outreach and Southeast Asia as Its Research Context, 1954-1973
John P. Dimoia
|
2016 | 303-319 |
제38권 제2호 |
[Research Paper] Governing, Financing, and Planning Cancer Virus Research: The Emergence of Organized Science at the U.S. National Cancer Institute in the 1950s and 1960s
YI Doogab
|
2016 | 321-349 |
제38권 제2호 |
[Research Paper] What Did They Mean by “Calculation Principles”?: Revisiting Argumentative Styles in Late Ming to Mid-Qing Chinese Mathematics
Su Jim-Hong and Ying Jia-Ming
|
2016 | 351-376 |
Designed by sketchbooks.co.kr / sketchbook5 board skin