Méi Wéndǐng 梅文鼎
Style name Dìngjiǔ 定九, sobriquet Wù’ān 勿菴 (“Hut-of-Not”). Native of Xuānchéng 宣城 (Níngguó prefecture, Ānhuī). Born Chóngzhēn 6 (1633); died Kāngxī 60 (1721) at age 89.
The greatest mathematician of the early-and-mid Qīng — universally recognized in late-imperial Chinese historiography as the foundational synthesizer of Chinese-and-Western mathematical-and-astronomical learning. His youth was shaped by the Manchu conquest (he was 11 when Beijing fell in 1644); like Wáng Xīchǎn (王錫闡), he refused all official examinations and lived in private retirement, devoting himself to mathematical-and-astronomical study. Unlike Wáng Xīchǎn, however, he eventually became favored by the Kāngxī court: Lǐ Guāngdì 李光地 (Grand Secretary, the principal patron of imperial mathematical research) presented Méi’s Lìxué yíwèn 厯學疑問 to the Kāngxī emperor in 1702 (Kāngxī 41) during the imperial southern progress at Dézhōu, and the emperor — after personally reading the work — bestowed the four-character imperial calligraphy jīxué cānwēi 積學參微 (“accumulated learning, threading the subtle”) upon Méi. Méi was 70 at the time; he was sent home with imperial favor.
Subsequently, when Kāngxī chartered the Lǜlǚ zhèngyì compilation (the music-theoretical part of the Lǜlì yuānyuán trilogy that would become the KR3f0018 Lìxiàng kǎochéng and 薛鳳祚 companion works), the imperial command summoned Méi’s grandson Méi Juéchéng 梅㲄成 to serve at court — through whom the Méi family’s mathematical learning entered the imperial mathematical academy. After Méi Wéndǐng’s death in 1721, the Kāngxī emperor (in his last months) specifically commissioned the imperial textile-bondservant Cáo Fǔ 曹頫 (the Cáo family of Hónglóu mèng fame) to manage Méi’s funeral arrangements — an extraordinary posthumous honor for a private scholar.
Méi Wéndǐng’s intellectual project was the construction of a unified Chinese-and-Western mathematical-and-astronomical system. He held that the new methods transmitted by the Jesuits were genuinely superior in many specific respects but did not represent a paradigm-shift requiring abandonment of the Chinese mathematical tradition; rather, the Chinese and Western traditions could be synthesized, with the Chinese tradition providing the foundational classical authority (the Zhōubì, the Jiǔzhāng, the Shòushí) and the Western tradition providing specific technical refinements (Euclidean proofs, spherical trigonometry, eclipse-prediction precision). The general framing — Xīfǎ Zhōngyuán 西法中源 (“Western methods originate from the East”) — found in his work would become the standard high-Qīng historiographical position.
His enormous corpus of writings, partly published in his lifetime by Lǐ Guāngdì (the Lǐshì cìkān qīzhǒng 李氏次刻七種, “Lǐ family’s seven titles printed in succession”, c. 1700), and partly assembled posthumously by his grandson Méi Juéchéng with Wèi Lìtóng 魏荔彤 and Yáng Zuōméi 楊作枚 of Wúxī, was published 1726 as the KR3f0026 Lìsuàn quánshū 歷算全書 (Complete Book of Calendrical Computation), in 60 juàn and 29 separate sub-titles. This is the canonical Méi Wéndǐng anthology and the work through which his synthesis entered the standard Qīng mathematical curriculum.
Other works of his preserved in the Sìkù: KR3f0027 Dàtǒng lìzhì 大統歷志 (8 juàn, on the late-Míng Dàtǒng calendar), and KR3f0028 Wù’ān lìsuàn shūjì 勿菴歷算書記 (1 juàn, his own bibliographic catalog of his mathematical-and-astronomical writings — an indispensable reference for the history of his project).
His brother Méi Wénmǐng 梅文鼏 (the bǐjì mathematician of the family circle) is the author of KR3f0029 ZhōngXī jīngxīng tóngyì kǎo 中西經星同異考. His grandson Méi Juéchéng 梅㲄成 served as principal mathematical staff editor on the KR3f0018 Lìxiàng kǎochéng and through whom the Méi mathematical inheritance shaped the imperial Lǜlì yuānyuán synthesis.
Méi Wéndǐng’s celebrated judgments on his contemporaries include the placement of Wáng Xīchǎn (王錫闡) above Xuē Fèngzuò (薛鳳祚) — the standard ranking of the early-Qīng independent astronomers, established by his Lìsuàn shūjì.