Tiānjīng huòwèn 天經惑問
Doubting Questions on the Heavenly Classic (a question-and-answer cosmographic primer) by 游藝 (Yóu Yì, fl. 1660s–1670s, 清, zhuàn 撰)
About the work
Yóu Yì’s 4-juan question-and-answer cosmographic primer, completed in the early Kāngxī period at his Fú-jiàn-region retirement. The work — preserved in the Sìkù as the Qiánjí 前集 (Earlier Collection) of 4 juàn; the Hòují 後集 mentioned by the 提要 has been lost — covers in catechetical (wèndá 問答) form the entire range of late-imperial Chinese cosmographic-and-meteorological topics: the celestial bodies (tiāntǐ 天體), the earth’s form (dìxíng 地形), the sun-moon-stars and their motions, the geometric account of solar-and-lunar eclipses, the irregularities of calendrical computation (nütiào 朒朓 — the variable angular velocity of celestial bodies), and the meteorological phenomena of wind, cloud, thunder, lightning, rain, dew, frost, mist, rainbow, and lunar halo. The structure parallels Manuel Dias’s KR3f0012 Tiānwèn lüè of 1615, which is almost certainly Yóu Yì’s principal source-model — though Yóu Yì does not credit Dias.
The work’s distinguishing feature is its programmatic exclusion of zhānyàn zhī shù 占驗之術 (divination-and-omen techniques): astronomical phenomena are explained mechanistically and geometrically, without reference to portent-or-prognostication. This is the post-Wàn-lì cosmographic-without-cosmological posture characteristic of the Jesuit-influenced Chinese astronomical literature, but Yóu Yì pursues it with unusual consistency. The Sìkù 提要 specifically praises this aspect as “especially deep recognition” (yóu wéi shēn shí 尤為深識).
The 提要 then mounts an unexpected polemic against the early-Qīng “intellectual-faction” tendency (associated with Sūn Chéngzé 孫承澤’s Chūnmíng mèngyú lù 春明夢餘錄) to separate lìlǐ (calendrical principle) from lìshù (calendrical computation), elevating the former (Xǔ Héng) over the latter (Guō Shǒujìng) in the historiography of the Yuán Shòushí lì. The editors argue, with palpable irritation, that “under heaven there is no number outside of principle, and no principle outside of number” — and they cite Yóu Yì’s work as evidence that even a relatively elementary cosmographic primer can demonstrate the unity of shù and lǐ. The polemic is striking for its philosophical-historiographic content, going well beyond what the Tiānjīng huòwèn itself argues.
Tiyao
[Sub-classification: 子部, Tiānwén suànfǎ class 1, tuībù sub-category. Edition: WYG.]
Respectfully examined: Tiānjīng huòwèn, 4 juàn, by Yóu Yì of Our Dynasty. Yì’s zì was Zǐliù 子六, [a man of] Jiànníng. This book has in total Earlier-and-Later two collections; this is the Earlier Collection. All [topics on] heaven-and-earth’s images, sun-moon-and-stars’ motions, eclipse causes, nütiào (irregularity), and wind, cloud, thunder, lightning, rain, dew, frost, mist, rainbow, [and] ní (rainbow-secondary) and the like, all are set as questions-and-answers, one-by-one expounding their why-they-are-so — rather clear-and-bright. As for the zhānyàn (divination-and-omen) arts, [the work] entirely excludes them and does not speak [of them] — especially [showing] deep recognition.
In antiquity Bān Gù composed the Hànshū Lǜlì zhì, saying that [those who] govern the calendar should jointly select [from] the zhuānménzhīyì (specialist-school descendants), the míngjīng zhī rú (classics-clarifying Confucians), and the jīngsuàn zhī shì (computation-refined men). Just because [the zhuānmén are] habituated to the established methods, the jīng clarify the ancient meanings, and the suàn obtain accurate numbers — wishing them to mutually consult-and-investigate, examine the past in order to know the future. [Bān Gù] did not wish [them merely] to discourse-loftily and debate-strongly, vainly investigating the refined-subtle hidden-mysterious principle and that’s all.
Master Shào [Yōng]‘s lìlǐ lìshù (calendrical-principle calendrical-computation) discourse also says: knowing its correctness-as-such (dāngrán 當然) and knowing its why-it-is-so (suǒyǐrán 所以然). Scholars misunderstand its purport and consequently take [the doctrine to mean that] outside of the lìshù there is separately a lìlǐ. Sūn Chéngzé’s Chūnmíng mèngyú lù accordingly attributes the Yuán Shòushí lì entirely to Xǔ Héng’s clarifying-principle. The Chóngzhēn 14 [1641] Ministry-of-Rites memorial-on-calendar-reform recorded [in the Mèngyú lù] cannot decide between the two schools’ rights-and-wrongs; [Sūn Chéngzé] consequently traces the calendrical foundation [back to mere principle] and sweeps away measurement-and-computation — especially a dùncí (escapist-language).
Now under heaven there is no number outside of principle, and no principle outside of number. The Shòushí lì’s precision over earlier ages — but the Sòng Confucians spoke of heaven záozáo (firm-and-fast) — how then in three centuries did the calendar [undergo] eighteen changes and not be fixed, [waiting] necessarily for the cohort of Guō Shǒujìng?
Yì’s making this book also entirely clarifies the calendrical-principle; in step-computation [he is] also weak. However, Yì can still know the calendrical-numbers; therefore [his] back-and-forth investigation has substantial demonstration. Preserving this single compilation, [one can] know that number is principle, principle is number — fundamentally not two-things. [This] is not what those who kōngyán tiāndào (empty-talk about the way-of-heaven) can match.
Respectfully collated, Qiánlóng 47, eleventh month [December 1782].
Chief Compilers: (subject) Jì Yún 紀昀, (subject) Lù Xíxióng 陸錫熊, (subject) Sūn Shìyì 孫士毅. Chief Collator: (subject) Lù Fèichí 陸費墀.
Abstract
Composition window: c. 1660–1675 (the broad early-Kāngxī period, when Yóu Yì was active in private retirement at Jiànníng; no specific composition date is given by the work itself or recoverable from external evidence). The Hòují (Later Collection) — mentioned by the 提要 — has been lost; only the Qiánjí (Earlier Collection) of 4 juàn survives in the Sìkù-preserved recension.
The work’s significance:
(a) Diffusion of Jesuit cosmographic doctrines into the provincial Chinese literati audience by the early Kāngxī period: like Wáng Yīngmíng’s KR3f0017 Lìtǐ lüè of 1612 from the late Wànlì period, Yóu Yì’s work documents the spread of post-Jesuit cosmographic doctrines (round Earth, geocentric celestial spheres, atmospheric refraction, geometric eclipse theory) into the Chinese provincial literati culture without direct Jesuit contact. The doctrines are by 1670 sufficiently established in the printed Chinese-language astronomical corpus to be presented in catechetical primers without need for foreign-source citation.
(b) The Sìkù editorial polemic against the lìlǐ / lìshù separation: the 提要’s unusual length-and-vigor in attacking the Sūn Chéngzé position is one of the most explicit Sìkù editorial statements on the philosophical foundations of scientific knowledge. The position — xià wú lǐwài zhī shù, yì wú shùwài zhī lǐ “under heaven there is no number outside of principle, and no principle outside of number” — articulates the early-modern Chinese rejection of metaphysical speculation divorced from empirical-mathematical practice. This is one of the few cases in the Sìkù tíyào where the editors articulate a substantive philosophical-of-science position.
(c) The exclusion of astrology: Yóu Yì’s principled exclusion of zhānyàn (divination) from his cosmographic primer represents the late-imperial Chinese articulation of the science / superstition distinction at a time when European astronomy itself had not yet fully separated from astrology. The 提要’s praise of this exclusion is consistent with the Qián-lóng-period editorial program of marginalizing astrological-divinational-omen content within the Tiānwén suànfǎ category in favor of mathematical-astronomical-meteorological exposition.
The 提要’s mention of the lost Chóngzhēn-14 (1641) Ministry-of-Rites memorial recorded in Sūn Chéngzé’s Mèngyú lù is independently interesting: it preserves a notice of the late-Míng calendar-reform debate in its final phase, just before the dynastic collapse. The memorial’s failure to decide between the lìlǐ and lìshù schools — and Sūn Chéngzé’s subsequent partisan privileging of the lìlǐ school — is the ultimate target of the 提要’s polemic.
For the Jesuit cosmographic source-tradition, see KR3f0009 Qiánkūn tǐyì, KR3f0010 Biǎo dù shuō, KR3f0012 Tiānwèn lüè. For the parallel mid-Kāngxī independent astronomical synthesis, see KR3f0021 Xiǎo’ān xīnfǎ. For Yóu Yì’s biographical context, see 游藝.
Translations and research
- No substantial secondary literature located on the Tiān-jīng huò-wèn in any European language. Treated occasionally in Chinese-language histories of Chinese astronomy.
- Han Qi 韓琦, Tōng-tiān zhī xué 通天之學, Beijing: Sānlián, 2018 (broader context on early-Kāngxī astronomical literature).
- Wang Yangzong 王揚宗, Wǎn-Míng-Qīng-chū kē-xué chuán-bō 晚明清初科學傳播, Beijing: Kē-xué Chū-bǎn-shè, 2000.
Other points of interest
The 提要’s framing of Yóu Yì’s work as occupying a methodological middle position — neither pure lìlǐ (Xǔ Héng / Sūn Chéngzé style) nor pure lìshù (Guō Shǒujìng / Méi Wéndǐng style), but recognizing the unity-as-not-twoness of shù and lǐ — places the work within the zhōnghéngjiā (mediating school) of high-Qīng intellectual practice. The editors’ explicit invocation of Bān Gù’s Hànshū Lǜlì zhì triadic framework (zhuānmén + míngjīng + jīngsuàn) is a deft rhetorical move, locating the late-imperial debate in a centuries-old Chinese intellectual genealogy.
The lost Hòují of the Tiānjīng huòwèn presumably contained more advanced topics (probably the procedures of bùsuàn — step-computation that Yóu Yì admittedly handled weakly, or perhaps eclipses and planetary motion in greater detail). Its loss is one of the regrettable items in the post-1644 transmission of mid-Kāngxī independent astronomical literature.