Regiomontanus and Chinese mathematics

Philosophica 82:87-114 (2008)
Abstract 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
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 5,701
External links
  •   Try with proxy.
  • Through your library Configure

    Similar books and articles
    Zhongyuan Sun (2007). Meta-Research in Chinese Logic. Frontiers of Philosophy in China 2 (1):50-69.
    Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
    Carlo Cellucci (2013). Philosophy of Mathematics: Making a Fresh Start. Studies in History and Philosophy of Science Part A 44 (1):32-42.
    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.
    Jay Zeman (1986). Peirce's Philosophy of Logic. Transactions of the Charles S. Peirce Society 22 (1):1 - 22.

    Analytics

    Monthly downloads

    Sorry, there are not enough data points to plot this chart.

    Added to index

    2012-08-30

    Total downloads

    2 ( #232,575 of 549,113 )

    Recent downloads (6 months)

    2 ( #37,390 of 549,113 )

    How can I increase my downloads?


    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.

    Other forums