Hóngfàn huángjí nèipiān 洪範皇極內篇
Inner-Chapter [of the] Imperial-Polar [Cosmography of the] Hóng-fàn by 蔡沈 (Cài Shěn, 1167–1230, 宋, zhuàn 撰)
About the work
Cài Shěn’s 5-juan systematic numerological-cosmological elaboration of the Hóngfàn 洪範 (Great Plan) chapter of the Shàngshū 尚書. The work was the project of his father Cài Yuándìng 蔡元定 (蔡元定), who “exhausted his heart on the Hóngfàn numbers but did not get to compose [the work] in writing — once said: ‘The one who completes my book will be Shěn’“. Cài Shěn worked on the project for “back-and-forth several decades” before completing it in his late life.
Structurally the work consists of:
(I) Lùn 論 (Discourses) — 3 sections: meta-theoretical exposition of the Hóngfàn numerological system, paralleling the Yìjīng’s Xìcí (Great Treatise) and Shuōguà (Explaining the Trigrams) appendices.
(II) Shù 數 (Numbers) — 81 zhāng (chapters): 81 numerical-cosmological configurations, each corresponding to one of the 9 × 9 = 81 possible permutations of the 9 chóu 疇 (categories) of the Hóngfàn. The 81-fold structure parallels the Yìjīng’s 64 hexagrams (8 × 8) and the Tàixuán’s 81 jiā (3⁴ = 81).
The 提要 reconstructs an editorial-textual problem: the standard transmitted recension orders the 3 Lùn sections in front and the 81 Shù chapters in back, calling the Lùn sections the “Inner Chapter” (Nèipiān) and the Shù sections the “Outer Chapter” (Wàipiān). But Xióng Zōnglì 熊宗立 in his commentary noted that this ordering is reversed: the 81 numerical-configuration Shù sections (paralleling the Yìjīng’s 64 hexagrams) should be the “Inner” (canonical-classical) section, and the 3 Lùn (paralleling the Yìjīng’s appendices) should be the “Outer”. The Sìkù editors note this discrepancy but follow the standard transmitted order rather than restoring Xióng Zōnglì’s reading, on the grounds that the surviving textual evidence is insufficient to override the established arrangement.
The Sìkù 提要 mounts a substantial polemical critique of the work’s underlying premise — the identification of the Hóngfàn with the legendary Luòshū 洛書 (Luò-River Writing) numerical-square. The 提要 argues at length that:
(a) The Luòshū designation appears in the Yìjīng but not in the Shàngshū; the Hóngfàn is a text on “clarifying principle (lǐ)” not “clarifying number (shù)”; the connection of Hóngfàn to Luòshū is therefore unattested in the canonical sources.
(b) The traditional identification of the Luòshū with the guīwén (turtle-pattern) 9-cell magic square dates only to Lú Biàn’s 盧辯 Northern-Qí (6th-cent.) commentary on the DàDài lǐjì; the attribution of the same identification to Zhèng Xuán by Zhū Xī is “moving [the attribution] to Zhèng Kāngchéng” without evidence.
(c) Cài Shěn’s apparatus is a hybrid construction: 81-cell organization from Yáng Xióng’s Tàixuán; jiéqì (seasonal-node) distribution from Mèng Xǐ 孟喜; juéshī (yarrow-stalk divination) procedure from Jiāo Gàn 焦贛’s Yìlín. The work is thus yet another imitation of the Yìjīng — like the KR3g0001 Tàixuán, the KR3g0003 Yuánbāo, and the KR3g0004 Qiánxū — but transferred to the Hóngfàn basis rather than the Yì’s.
The 提要’s verdict is sharp: “essentially morning-three-evening-four, morning-four-evening-three — same usurpation of the canonical [text]“. The work is preserved on grounds of subsequent influence: it inaugurated a Yuán-and-Míng tradition of Hóngfàn derivative literature, much of which is documented in adjacent Sìkù entries.
For the foundational Hóngfàn tradition, see KR1c (Shàngshū) entries. For the related Yìjīng-paralleling cosmological tradition, see KR3g0001 Tàixuán, KR3g0003 Yuánbāo, KR3g0004 Qiánxū, KR3g0005 Huángjí jīngshì. For Cài Shěn’s biography, see 蔡沈; for his father, see 蔡元定.
Tiyao
[Full 提要 in source file. Substantive content summarized above. Dated Qiánlóng 46 (1781), ninth month.]
Translations and research
- Limited substantial secondary literature in European languages. Treated briefly in:
- Smith, Kidder Jr. et al. Sung Dynasty Uses of the I Ching, Princeton: Princeton University Press, 1990.
- Tillman, Hoyt. Confucian Discourse and Chu Hsi’s Ascendancy, Honolulu: University of Hawaii Press, 1992 (background on Cài-shì family Cheng-Zhū-school engagement).
Other points of interest
The 提要’s polemical argumentation against the Hóngfàn / Luòshū identification — pursued at unusual length for a Sìkù tíyào and with substantive engagement with the kǎojù (evidential research) sources — represents a strong late-Qīng editorial position against the late-imperial túshū (diagram-and-writing) tradition. The Sìkù editors’ broader stance against Sòng-period cosmological-numerological speculation is here expressed at one of its most explicit moments.
The work’s enduring institutional position — despite the Sìkù’s critical assessment, it founded a substantial YuánMíngQīng Hóngfàn-derivative tradition — exemplifies the gap between Sìkù editorial preference and the actual late-imperial Chinese intellectual reception. The Sìkù’s preservation policy (“to record and preserve” the foundational work even when polemically opposed to it) is here exercised at maximum extension.
Links
- ctext.org: https://ctext.org/wiki.pl?if=gb&res=569524 (Sìkù 提要 j. 108)