David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophica 82:87-114 (2008)
This paper critically assesses the claim by Gavin Menzies that Regiomontanus knew about the Chinese Remainder Theorem (CRT) through the Shù shū Jiǔ zhāng (SSJZ) written in 1247. Menzies uses this among many others arguments for his controversial theory that a large fleet of Chinese vessels visited Italy in the first half of the 15th century. We first refute that Regiomontanus used the method from the SSJZ. CRT problems appear in earlier European arithmetic and can be solved by the method of the Sun Zi, as did Fibonacci. Secondly, we pro-vide evidence that remainder problems were treated within the European abbaco tradition independently of the CRT method. Finally, we discuss the role of recreational mathematics for the oral dissemination of sub-scientific knowledge.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Michael H. Shank (2002). Regiomontanus on Ptolemy, Physical Orbs, and Astronomical Fictionalism: Goldsteinian Themes in the "Defense of Theon Against George of Trebizond". Perspectives on Science 10 (2):179-207.
James Steven Byrne (2006). A Humanist History of Mathematics? Regiomontanus's Padua Oration in Context. Journal of the History of Ideas 67 (1):41-61.
Zhongyuan Sun (2007). Meta-Research in Chinese Logic. Frontiers of Philosophy in China 2 (1):50-69.
Shu-Hsien Liu (1993). The Problem of Value Reconstruction in Chinese Philosophy Under the Impact From European Thought. Journal of Chinese Philosophy 20 (1):45-55.
Chung-ying Cheng (1971). Chinese Philosophy: A Characterization. Inquiry 14 (1-4):113 – 137.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Yunyi Zhang (2011). “The Westward Spread of Chinese Philosophy” and Marxism. Frontiers of Philosophy in China 6 (1):114-133.
Mark Steiner (1995). The Applicabilities of Mathematics. Philosophia Mathematica 3 (2):129-156.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Dimitris Gavalas (2007). From Searle's Chinese Room to the Mathematics Classroom: Technical and Cognitive Mathematics. Studies in Philosophy and Education 26 (2):127-146.
Ren Jiyu (1984). Subject and Method of the History of Chinese Philosophy. Contemporary Chinese Thought 15 (3):17-53.
Jay Zeman (1986). Peirce's Philosophy of Logic. Transactions of the Charles S. Peirce Society 22 (1):1 - 22.
Shu-Hsien Liu (1974). The Use of Analogy and Symbolism in Traditional Chinese Philosophy. Journal of Chinese Philosophy 1 (3-4):313-338.
Added to index2012-08-30
Total downloads7 ( #209,687 of 1,410,267 )
Recent downloads (6 months)1 ( #177,872 of 1,410,267 )
How can I increase my downloads?