The Diversity of Mathematical Cultures: One Past and Some Possible Futures

Chemla, Karine

doi:10.4171/news/104/3

Cited by 2 publications

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“…In addition, positions will play a crucial role in the establishment of relationships between operations (which indicates another link between mathematical practice and theory). Last, but not least, this use of positions will flourish in later traditions that relied on the Classics (Chemla 2016).…”

Section: Discussionmentioning

confidence: 99%

“…More recently, I have put forward an argument of a completely different nature, that is, that in the curriculum in which the mathematical Classics were taught, Mathematical Classic by Master Sun was taught at the beginning of the elementary curriculum. Accordingly, students learnt first the use of the rods to write numbers and, then, multiplication and division chu that the Classic presents in its first pages (Chemla 2016). 35 See my glossary in (Chemla and GUO 2004) for terms like "bu faire progresser" (p. 904), "tui rétrograder" (pp.…”

Section: Reconstructing the More Recent Execution Of Division To Whic...mentioning

confidence: 99%

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Working on and with Division in Early China, Third Century BCE—Seventh Century CE

Chemla 林

2022

Why the Sciences of the Ancient World Matter

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The main text refers to line numbers used in the appendix. However, in the main text I put "line" in bold fonts and add ***, since the lines might have changed and the references made might become inaccurate. This will be revised after the English polishing. 1 The research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement n. 269804 "Mathematical Sciences in the Ancient World (SAW)". This chapter has been presented, first partly, in the context of the 2013 workshop of the project SAW, on (http://sawerc.hypotheses.org/workshops/workshop-cultures-of-computation), and then in draft form during the conference that concluded the workshop, March 2013 (http://sawerc.hypotheses.org/conferences/conference-cultures-of-computation-andquantification-in-the-ancient-world and https://f-origin.hypotheses.org/wpcontent/blogs.dir/946/files/2013/03/Conference-Cultures-of-Computation-abstractsmeasures.pdf). Thanks are due to all participants, and in particular Agathe Keller and Christine Proust.

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Section: Discussionmentioning

confidence: 99%

Section: Reconstructing the More Recent Execution Of Division To Whic...mentioning

confidence: 99%

Working on and with Division in Early China, Third Century BCE—Seventh Century CE

Chemla 林

2022

Why the Sciences of the Ancient World Matter

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“…What I find is that the history of these seven mathematical sciences 3 I give these numbers only to provide the reader a sense of relative scale. Chemla's tally of 12 is based on my count of those extant suan procedure texts and commentaries specifically named and analyzed for division into cultures (thus "focused on") in Chemla 2009;2017a;2018. As adumbrated in Chemla 2018, pp. 28-30, Chemla and Zhu (forthcoming) will expand this further, including suan problems in commentary to the Confucian classics (see below).…”

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Regional Networks in Chinese Mathematics and Astronomy, 311–618 ce

Morgan

2021

East Asian Science, Technology, and Medicine

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This article offers a social and geographical network analysis of all attested works, authors, and practitioners in the mathematical sciences in China over the period of disunion and reunification from 311 to 618 ce. Inspired by Karine Chemla’s (2009) efforts to distinguish “different mathematical cultures” within the extant corpus of suan 筭/算 procedure texts, the goal is to explore a viable framework within which to break down the history of Chinese mathematics along different, pluralistic lines. What I find is that this period is home to distinct regional networks working in isolation from one another, and that situating authors within these networks helps explain continuities and discontinuities in their technical writing. This is evidence of plurality, but one that is incommensurable with Chemla’s “mathematical cultures,” so I offer it as an alternative means to the same historiographical ends. In examining what our historical subjects said and did about this plurality of traditions, however, we realize that it was as aberrant to them as the political disunion of which it was a product ‒ something to be rectified by “unification” (tongyi 統一), “integration” (tong 通), and, where necessary, force.

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The Diversity of Mathematical Cultures: One Past and Some Possible Futures

Cited by 2 publications

References 1 publication

Working on and with Division in Early China, Third Century BCE—Seventh Century CE

Working on and with Division in Early China, Third Century BCE—Seventh Century CE

Regional Networks in Chinese Mathematics and Astronomy, 311–618 ce

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