Shen Kuo

Biography

Family Background and Early Years

Shen Kuo came from a bureaucratic family of the Wuyue region, though he described himself as being of humble family background. His family descended from the prominent Shen lineage of Wukang County in Huzhou. From the generation of Shen Kuo's great-great-grandfather, one branch of the family moved to Qiantang County in Hangzhou, and its ancestral graves were also located at Xixi in Qiantang, in the area of present-day Liuxia Subdistrict, Hangzhou. Shen Kuo's great-grandfather Shen Zengqing had served in the Wuyue kingdom as an Agricultural Colony Commissioner in charge of state farming. After Wuyue submitted its territory to the Song, Shen Zengqing became a military secretariat official of Chongxin Army, in present-day Suizhou, Hubei, and later served as Assistant Director of the Court of Judicial Review with a detached appointment at the Western Capital, present-day Luoyang. Shen Kuo's grandfather Shen Ying died young and never held office in his lifetime, but through his descendants he later received the posthumous rank of Minister of War. Shen Kuo's father Shen Zhou, courtesy name Wangzhi, was raised together with his elder brother Shen Tong. Shen Tong passed the imperial examination in 1000, the third year of Xianping, and Shen Zhou did so in 1015, the eighth year of Dazhong Xiangfu. Shen Tong had two sons, Shen Zhen and Shen Fu; Shen Fu's sons, Shen Gou and Shen Liao, were Shen Kuo's nephews and both became well-known literati of the period. After passing the examination, Shen Zhou held local offices in Pingquan, Suzhou, Runzhou, Mingzhou, and elsewhere.

Shen Kuo's mother, Lady Xu, came from Wu County in Suzhou. Her family, like the Shens, was an official family with roots in the Wuyue period. Her father Xu Zhongrong reached the office of Attendant in the Crown Prince's household and raised at least four children. The Xu family later also produced the Neo-Confucian scholar Xu Qian. Lady Xu had an elder brother, Xu Dong, who had also passed the imperial examination, twice served on missions to pacify displaced people in the north, and wrote the military treatise Tiger Seal Classic. Under his influence, Lady Xu herself learned to read and write. One of her full sisters married Xie Tao; Xie Tao's daughters in turn married Mei Yaochen, Huang Tingjian, and Wang Anli, the younger brother of Wang Anshi, making Shen Kuo a maternal cousin of the Mei, Huang, and Wang families. Shen Kuo's parents had two sons and two daughters. One of Shen Kuo's elder sisters married Yang Wenqing, grandson of Yang Yan, a Grand Councilor of the Wuyue kingdom, while his elder brother Shen Pi later served in local offices including Magistrate of Ningguo County.

Shen Kuo was the younger son. He was born around 1031, the ninth year of Tiansheng under Emperor Renzong of Song, when his father Shen Zhou was fifty-four and his mother Lady Xu was forty-seven. Because he was born late in his parents' lives and was frequently ill as a child, they cared for him closely. At that time Shen Zhou had been transferred from Guangnan East Circuit to Fengzhou and was later transferred again to Suzhou. Shen Kuo may therefore have been born in one of the places where Shen Zhou served, such as Pingquan in present-day Jianyang, Sichuan; Fengzhou in present-day Fengkai, Guangdong; or Wu County in Suzhou, his mother's native place. Shen Kuo later registered his household in Wu County, present-day Suzhou, Jiangsu. Much of his childhood was spent traveling with his father between official posts. Few records survive, though Dream Pool Essays, written late in his life, preserves a small number of recollections.

Soon after Shen Kuo's birth, Shen Zhou entered the central government as Assistant Director of the Court of Judicial Review. Around 1039, the second year of Baoyuan, he offended powerful figures and was demoted, succeeding Fan Zhongyan as Prefect of Runzhou; Shen Kuo accompanied him to Runzhou, present-day Zhenjiang, Jiangsu. In 1040, the first year of Kangding, Shen Zhou became Prefect of Quanzhou and Shen Kuo went with him to Fujian. Shen later wrote in Dream Pool Essays of a giant crocodile captured by Wang Juzhi in Chaozhou and described methods he learned from local people for catching crocodiles. In Quanzhou he also became acquainted with Chen Wenlian, a descendant of the Five Dynasties southern Fujian warlord Chen Hongjin. Chen Wenlian had earlier participated in the capture in Guangzhou of Li Shun, a leader of a rebellion in Sichuan, allowing Shen Kuo to inspect records from that uprising kept by the Chen family. In Fujian Shen observed that many people used gelsemium as a poison even though the Divine Farmer's Classic of Materia Medica treated it as a medicine, while medical texts also said that gelsemium was another name for wild kudzu. He therefore investigated the issue and concluded that the “wild kudzu” described in the Miscellaneous Morsels from Youyang was not the same plant as what people in southern Fujian called gelsemium, and he described the differences in detail.

In 1043, the third year of Qingli, Shen Zhou was promoted to an office in the Kaifeng prefectural administration, and Shen Kuo traveled with him from Fujian to Bianliang. Passing through Nan'an in Fujian, Shen saw authentic calligraphy containing poems by Han Wo and greatly admired it. While in Bianliang he studied the patterns formed in ice during a visit to Jixi Temple. In 1048, the eighth year of Qingli, Shen Zhou was transferred as Fiscal Commissioner of Jiangnan East Circuit, and Shen Kuo followed him to Jiangning Prefecture, present-day Nanjing. While there Shen noticed writing carved on a stone used by a cook for pressing meat. After washing it he found that it was the epitaph of the Prince of Hailing of Southern Qi and kept it for many years. He also learned the prescription for “Shenbao Pills” from the physician Wang Qi and used it to cure chronic neck pain. The prescription was later included in Good Prescriptions of Su and Shen.

In 1050, the second year of Huangyou, Shen Zhou resigned as Fiscal Commissioner of Jiangnan East Circuit because he “did not enjoy serving those who sought profit and power” and was demoted to govern Mingzhou, present-day Ningbo. Shen Kuo meanwhile returned to Suzhou and stayed with his maternal uncle's family to study. His maternal uncle Xu Dong was by then already deceased, but he had been a noted military theorist. Shen's mother, Lady Xu, who had grown up under Xu Dong's influence, transmitted some of his military learning to Shen Kuo and his brother. Shen Kuo developed an eye disorder after persistently practicing calligraphy in dim light. Wang Qi again came to treat him. Although the condition improved after a year, Shen later said the lingering pain continued for thirty years. Prolonged illness led him to learn medicine. According to Good Prescriptions of Su and Shen, during this period Shen read widely, practiced breathing techniques, and studied medical learning.

In the year he recovered, his father resigned office and returned to Qiantang, dying shortly afterward in the eleventh month. Shen Kuo and his elder brother Shen Pi returned to Qiantang to observe mourning. Using a note entrusted to them by their father, they asked Wang Anshi, then serving as Assistant Prefect in Shuzhou, present-day Huaining, Anhui, to write Shen Zhou's epitaph. In the tenth month of 1052, the fourth year of Huangyou, they buried their father at Longjuli in Qiantang, near present-day Longjuwu in Liuxia Subdistrict of Hangzhou's Xihu District. During the mourning period Shen Kuo recorded Bi Sheng's movable type printing technique and Yu Hao's Timberwork Manual. Bi Sheng had already died and movable type had not yet spread widely. Shen personally improved the technique, and “Shen-family movable type” and the “Shen Cunzhong method” soon became known in Hangzhou.

Early Official Career

Shen Kuo's father had been an incorrupt official and accumulated little wealth, while Shen's mother was already elderly. The family's finances therefore worsened, and after completing mourning Shen Kuo quickly sought a livelihood. In 1054, the first year of Zhihe, he entered office through hereditary privilege as Registrar of Shuyang County in Haizhou. A registrar was a low-ranking county staff officer responsible for miscellaneous administrative work. The post was demanding and poorly ranked. The previous magistrate of Shuyang had failed in river-control work, provoking rebellion among conscripted laborers. Shen investigated conditions on the ground and concluded that the unrest had arisen partly because repeated policy changes had shaken public confidence and partly because supervising officials treated laborers harshly and arbitrarily prolonged their service. He dismissed the officials who supervised the workers and agreed with the population to reduce the term of labor service from forty days to thirty. This not only ended the disturbance but also allowed the Shu River to be dredged successfully and some 7,000 mu of good farmland to be reclaimed. Shen later recalled that he had entered office in order to earn money to support his family and described the registrarship as “the humblest and most laborious of offices.” He had previously been able to devote much time to the study of many fields, but now could only discipline himself, do his utmost, and carry out his official duties well. In 1055, the second year of Zhihe, he temporarily administered neighboring Donghai County while still holding the registrarship.

In 1061, the sixth year of Jiayou, Shen traveled to Ningguo County, where his elder brother Shen Pi was serving, in preparation for the imperial examinations. Shen Pi was then directing the reconstruction of Wanchun Polder at Wuhu. Four years after the work was completed, however, a flood destroyed its embankment and opponents of the project renewed their criticism. Shen Kuo consequently wrote the Illustrated Record of Wanchun Polder, setting out the affair in detail and recording methods of polder construction in the hope that they could be adopted more widely. Large-scale use of polder fields in Jiangnan did not become common until the Southern Song.

After many years as registrar, Shen not only failed to receive promotion but faced dismissal on three occasions. Because the Song state gave promotion advantages to officials with the jinshi degree, he hoped to alter his career prospects through the examination system, as his nephew Shen Gou had done. Ouyang Xiu was then renowned for promoting younger talent. In 1061 Shen presented Ouyang with his own Treatise on Music, in which he criticized the contemporary musical world's habit of mechanically imitating antiquity without understanding its meaning, emphasized music's role in moral education, and hoped to attract Ouyang's attention. In 1062, the sixth year of Jiayou as given in the source, Shen sat the local examination in Suzhou under his Wu County registration and ranked first. In the second month of the following year he went to the capital for the departmental examination administered by the Ministry of Rites. Fan Zhen served as chief examiner, while Sima Guang and Wang Anshi were two of the examiners. Shen passed the jinshi examination and, as the top candidate from Suzhou, was granted an audience with Emperor Renzong.

In 1064, the first year of Zhiping, Shen received the post of Judicial Administrator of Yangzhou, taking charge of criminal cases for the prefecture. Pingshan Hall in Yangzhou had once been a meeting place where Ouyang Xiu gathered leading scholars from throughout the realm but had fallen into disrepair after Ouyang's departure. Diao Yue, Prefect of Yangzhou, therefore assigned the newly arrived Shen Kuo to renovate it. In 1065, the second year of Zhiping, Shen's superior Zhang Chu, Fiscal Commissioner of Huainan Circuit, recommended him to the court. Shen later married Zhang Chu's third daughter as his second wife and also treated Zhang as a teacher. Through Zhang's recommendation, Shen was transferred to the capital in the ninth month of that year to collate books in the Zhaowen Library. Under Song regulations, an official serving in the Zhaowen Library for two years could advance into the palace scholarly institutions, whose officials were not bound by ordinary promotion rules and from which many grand councilors and senior ministers were drawn. In 1068, the first year of Xining, Shen accordingly became a Collator in the Palace Library. There he gained access to many privately held imperial books on astronomy and calendrical science, participated in work on the armillary sphere, and compared astronomical observations in order to calculate errors in the existing calendar. In the eighth month his mother Lady Xu died. Shen left office for mourning, escorted her coffin back to his home district with his brother, buried her together with their father, and asked Zeng Gong to write her epitaph.

Participation in the Reforms

In 1067, the fourth year of Zhiping, Emperor Yingzong of Song died. The new ruler, Emperor Shenzong, soon appointed Wang Anshi as Hanlin Academician. In the second year of Xining, Shenzong formally appointed Wang as Assistant Grand Councilor, and the large-scale reform movement began. In 1071, the fourth year of Xining, Shen Kuo completed mourning and returned to the capital, where he was promoted to Reviewing Official of the Judicial Office of the Secretariat. The five offices of the Secretariat were newly established under the Xining reforms to supervise and administer affairs while bypassing the Secretariat-Chancellery, where conservatives were concentrated. Reformers placed relatively new officials such as Shen in these posts in order to reduce conservative influence over the departments and improve implementation of the reforms. By taking this office Shen became a subordinate official of the grand councilors, indicating that he had gained the confidence of Wang Anshi and Emperor Shenzong.

In the fifth year of Xining, Shen was entrusted with the important task of dredging the Bian River. The waterway was vital to the livelihood of the capital's population of around one million, and because the Northern Song also stationed large forces near Bianliang, it was central to the transport of grain and military supplies. By established practice the emperor went every three years to the Round Altar to sacrifice to Heaven and Earth, and clerks often used preparations for the ritual as an opportunity to build ornamental grounds and seek private profit. Shen therefore investigated the historical development of the southern-suburb great sacrifice and compiled the Regulations for the Southern Suburban Sacrifice. He was then appointed to administer suburban sacrificial affairs. By following the new ritual regulations he saved expenses measured in the tens of thousands, greatly satisfying Emperor Shenzong.

In the eighth month, when famine struck Huainan, Shen was ordered to inspect the area. He distributed grain and funds from the Ever-Normal Granaries, cleared waterways, and restored abandoned fields, achieving visible results. He was promoted to Collator of the Academy of Scholarly Worthies and assigned to inspect agricultural waterworks in Liangzhe. Because the water-control works there were on a very large scale, Shen proposed paying famine victims to carry out the construction, a plan approved by the emperor.

In the ninth month Shen was promoted to Attendant to the Heir Apparent and placed in charge of the Directorate of Astronomy. At the time many of the astronomical officials were ineffective and had little knowledge of astronomy. Shen reformed the institution, improved its instruments, invited Wei Pu to construct a new calendar, and called for astronomical-observation books to be collected from across the empire. In the eleventh month, the court ordered private vehicles to be registered, while the Market Exchange Office planned to seal privately operated salt wells in Sichuan to prevent illicit salt trading. Both measures caused widespread discussion. Shen argued that most civilian vehicles were peaceful-use carts unsuitable for mobile warfare, and that the many small salt wells would require expensive new enforcement if sealed. Emperor Shenzong agreed and ordered both measures halted the next day. Shen was promoted to Drafter of Proclamations and concurrently put in charge of the Submission and Silver Terrace Office; only three months had elapsed since his appointment as Attendant to the Heir Apparent.

In the eighth month of 1074, the seventh year of Xining, Shen was appointed Investigating Commissioner of Hebei West Circuit and placed in charge of its militia and baojia affairs. The circuit lay on the northern frontier. Shen concentrated on military-administrative reform and border defense. After returning to the capital in the second month of 1075, the eighth year of Xining, he submitted thirty-one proposals for administrative correction, most of which Emperor Shenzong approved and adopted. In the ninth month Shen concurrently took charge of the Armaments Directorate, responsible for the manufacture and storage of weapons. He had studied bows in depth, formulated the concept of the “six excellences of a bow,” and proposed mass production of divine-arm crossbows. By the following fifth month, when the Armaments Directorate reported to the court, weapons output had increased more than tenfold.

In the second month of 1075 Shen was also ordered to revise the “Nine-Army Battle Method.” He divided the nine armies into nine camps, each forming its own formation, mutually supporting one another back to back and facing outward in all directions, so that the system could be used flexibly. He called it the “border-prefecture formation method.” In the ninth month he compiled construction standards for fortified walls, military camps, and related structures.

Mission to Liao and Service as State Finance Commissioner

In the third month of 1075, the eighth year of Xining, a Song–Liao border dispute arose. Liao demanded that Mount Huangwei be taken as the boundary, while the Song court refused. The Liao envoy Xiao Xi came to Bianjing, accused the Song court of insincerity and delay in negotiations, and refused to leave his lodging. Shen Kuo went to the Bureau of Military Affairs to inspect earlier archival documents and discovered that the previous Song–Liao agreement had set the ancient Great Wall as the boundary, while Mount Huangwei lay thirty li south of the wall. He memorialized this finding to the court. Emperor Shenzong awarded him one thousand taels of silver and sent him to Liao as a return-thanks envoy.

Before leaving Bianjing in mid-fourth month, Shen located several dozen relevant letters and archival documents and required his staff and clerks to memorize them. Whenever the Khitan grand councilor Yang Yijie raised an issue, Shen had his subordinates cite the relevant archival clause in reply. Six rounds of negotiations were held. Unable to answer the documentary evidence, Yang threatened that sacrificing the friendship of the two states over a few li of land would be harmful to peace. Shen responded by invoking the state's principles and the basic interests of its people, insisting that not an inch of territory could be yielded. Through the efforts of Shen and his mission, the Liao court eventually made concessions, temporarily easing tension in Song–Liao relations. In the seventh month Shen began the journey home. Drawing on the geography, terrain, customs, and local life observed along the way, he prepared the Illustrated Notes on the Mission to the Khitan and presented it to the court.

For his success on the mission, Shen was promoted to an inspection and pacification assignment for disaster-stricken prefectures and military prefectures in Huainan and Liangzhe. In the tenth month he became acting State Finance Commissioner, and in the tenth month of the following year he was appointed Hanlin Academician while retaining the finance commissionership in acting capacity. In the tenth month of 1076, the ninth year of Xining, Wang Anshi left the grand councilorship and Wu Chong succeeded him as Joint Manager of Affairs with the Secretariat-Chancellery. When Shen went to the grand councilor's residence to report on government affairs, Wu asked him about the Service Exemption Law. Shen suggested reducing service payments required from poor households. Wu agreed and memorialized the proposal to Emperor Shenzong. In the eleventh month Shen again submitted a memorial asking that service-exemption payments for poorer households be reduced and proposing that the former labor-service system be combined with the current exemption system in a mixed arrangement of compulsory assignment and hired service. Because Shen expressed this view only after Wang Anshi had left office, it appeared to mark a subtle change from his earlier attitude toward the Service Exemption Law and provided ammunition to his opponents.

Dismissal and Later Years

In 1077, the tenth year of Xining, Attendant Censor Cai Que impeached Shen on the grounds that he was attaching himself to a senior minister, Wu Chong, speaking outside his proper jurisdiction because the Service Exemption Law was under the Court of Agricultural Supervision, and taking inconsistent positions. In the seventh month Shen was removed as State Finance Commissioner and Hanlin Academician, demoted to Diarist and Academician of the Academy of Scholarly Worthies, and sent out to govern Xuanzhou.

In 1080, the third year of Yuanfeng, Emperor Shenzong transferred Shen to the Song–Western Xia front. He was appointed Prefect of Yanzhou and Concurrent Pacification Commissioner of Fuyan Circuit, and after military achievements received the additional title Academician of the Dragon Diagram Pavilion. In 1082, the fifth year of Yuanfeng, after Xu Xi lost Yongle City, Shen was implicated and demoted to Deputy Military Commissioner of Junzhou, assigned to residence in Suizhou, and placed under confinement. He regained freedom only after Emperor Shenzong's death and spent his final years at Dream Brook Garden in Runzhou. In 1088, the third year of Yuanyou, Shen settled there permanently and devoted himself to writing, completing Dream Pool Essays. In 1095, the second year of Shaosheng, he died at Runzhou at age sixty-five and was buried in Qiantang.

His Last Years in Office and After

In 1080 Shen Kuo took command of the military affairs of the Fuyan circuit and was stationed at Yanzhou. The court, to secure the western front, sent guard troops and gave repeated rewards, but rewarded none of the local army; Shen Kuo held that unequal reward would breed disorder on the frontier, and so, acting on the court's authority without warrant, rewarded the local troops and reported what he had done, at which Shenzong was well pleased and issued an edict allowing him to act at his discretion in such emergencies. Arriving at his post he used money granted him to buy wine and had the sons of good families of the market towns compete in riding and shooting, rising himself to pour wine for those of outstanding skill, so that the frontier people were stirred and feared only that they might not be chosen; after a year he had more than a thousand who could pierce armour and vault into the saddle, all enrolled in the central army, and Yanzhou's reputation overawed the other prefectures. When heavy snow cut the grain supply and Liu Guiren, a palace attendant, fled south with thirty thousand men into the Yanzhou frontier, frightening the people, some urged shutting the gates and attacking them; Shen Kuo held that these were seasoned veterans turned fugitives only by cold and hunger, and that to attack them would be to slaughter their own men and shake the army's confidence, and had camps built east of Yanzhou where the fleeing soldiers were fed and comforted; in ten days all thirty thousand were recovered, and Liu Guiren was beheaded before the army.

In the tenth month of 1081 several tens of thousands of Tibetan tribesmen attacked the frontier strongpoint of Shunning fort, and Shen Kuo sent Jing Siyi and Qu Li with three thousand men against them and then Li Da with a thousand, carrying grain for a hundred thousand, proclaiming that the commander of Fuyan would come in person to direct the fighting; the Tibetan troops, not knowing the truth, lost heart, and the Song took Moyai fort, with ten thousand men, women and children and thirty thousand head of cattle and sheep. In the eleventh month, when the twelve commanders of the Hedong army were returning east through Fuyan, Shen Kuo seized the moment to display force at Suide and proclaim that the court had given him command of all twelve, and would march west within days; the Western Xia garrison, sending men to look, saw a great host gathered and believed it, and fled by night, so that Shen Kuo took Futu, Wubao and Yihe without losing an arrow. When Zhong E's western campaign won the three prefectures of Yin, Xia and You but could not hold them, Shen Kuo, as prefect of Yanzhou, asked to wall the old Wuyan city to enclose the Hengshan and overlook Pingxia so that the enemy could not slip away through the desert; the court sent Xu Xi and the eunuch Li Shunju to deliberate, and Xu Xi proposed walling Yongle first, which was done in fourteen days. Shen Kuo wrote in his own account that "Yongle is what the enemy must contest; the road is dangerous and long, victory cannot support it and defeat cannot relieve it, and it is no advantage in war or defence," urging that the work begin at Shibao and proceed step by step to the east, "not to be accomplished in a few years' time"; but "after three months of debate the generals were all pleased at the speed of success," and Xu Xi's proposal carried. On the ninth day of the ninth month of 1082 the Western Xia sent three hundred thousand men against Yongle; Xu Xi went to its relief with twenty-five thousand, leaving Shen Kuo to hold Mizhi, and Shen Kuo, marching with ten thousand, was blocked at the river, while eighty thousand Tibetan troops attacked Suide, so that he weighed the two and chose to keep Suide and let Yongle go. On the twentieth the city fell, and by the report of Shen Kuo and Zhong E "two hundred and thirty Chinese and Tibetan officers and more than twelve thousand three hundred soldiers perished," and Shenzong wept and grieved and would not eat. On the seventeenth of the tenth month the court, on the ground that Shen Kuo "in the matter of walling Yongle answered and acted ill when the enemy came," degraded him to assistant commander of Junzhou; later writers hold that as commander of a whole circuit he knew the place to be "dangerous and far, ill-suited to mutual support and relief," and yet did not insist on his own view but went along with Xu Xi, and so bears an inescapable responsibility for the disaster.

At Suizhou Shen Kuo lodged in the Fayun temple, without kin or friends and under heavy restriction; those three years were the saddest and darkest of his life, and he began to look again at his political career and even to feel something like regret for having entered office, the poem of that time reading, "Wild grass clings to the sky, the rain will not stop; the stranger's heart is cold of itself, and not because of autumn. West of the fort is where the gibbons cry — full of grief, I regret mounting the tower." Early in Yuanyou he was moved to Xiuzhou, in the south near his native Hangzhou, and his spirits recovered from their dejection, so that he gave himself to learning and began to put in order the Maps of the Prefectures and Counties of the Empire, which he had been ordered to compile in 1076; in 1088, for presenting it, he was given a hundred bolts of silk and leave to reside where he pleased. According to Zhu Mu's Famous Sites of the Realm, Shen Kuo had once dreamed of a low hill with flowers spread like brocade under tall trees, and delighted in it in his sleep; afterwards, serving at Xuancheng, he heard a Daoist speak of the beauties of Jingkou, and a man of the place offering land for sale, bought it for three hundred thousand cash, and in the early Yuanyou years, passing through Jingkou and climbing the land he had bought, found it to be the place of his dream, and built a house there and named it Mengxi, "Dream Brook," after which his late work is named. He lived eight years in the Dream Brook garden and was buried at Hangzhou after his death, the garden falling into neglect; its site is in Mengxiyuan Lane in Zhenjiang, where the record gives it some ten mu with halls and pavilions, and in 1985 the city restored it near the original site on two mu, displaying the record of magnetic declination four centuries earlier than western Europe and objects and pictures of his scientific work. His tomb is in Yuhang, brick-built, with Northern Song celadon bowls and coins of the Xining, Yuanfeng and Yuanyou eras, restored in the first phase in 2001; and in May 2021 the International Astronomical Union approved the Chinese proposal to name eight lunar features near the Chang'e-5 landing site, one of them after Shen Kuo.

Major Activities

Scientific Contributions

Shen Kuo conducted research in astronomy, mathematics, physics, chemistry, engineering, geography, calendrical science, music, medicine, archaeology, and many other fields. While serving in the Directorate of Astronomy he reformed the institution, improved its instruments, called Wei Pu to construct the new Fengyuan Calendar, and solicited books recording astronomical observations from across the empire. He established or improved instruments including the armillary sphere, gnomon, and five-vessel clepsydra and compared astronomical observations to identify errors in the existing calendar.

In mathematics Shen developed the “technique of piled intervals” and the “technique of intersecting circles.” The former was a higher-order arithmetic-series method for calculating stacked-volume problems, while the latter was an approximation method concerning the arc length of circular segments. In physics, through experiment he recorded magnetic declination, more than four centuries before comparable European records according to the source. He also studied image formation in concave mirrors and resonance. In geology, drawing on observations in the Taihang Mountains and Yandang Mountains, he proposed ideas about soil erosion and sedimentation and used excavated fossils to infer climatic change. In engineering, while Registrar of Shuyang he managed the Shu River and reclaimed farmland with notable results; during the dredging of the Bian River he used a system of staged embankments to measure differences in river elevation.

Political Activities

Shen Kuo was an active participant in the New Policies of Wang Anshi. In 1071, after completing mourning, he returned to the capital and received the confidence of Emperor Shenzong and Wang Anshi, becoming Reviewing Official of the Judicial Office of the Secretariat. He later held important positions including supervisor of the Directorate of Astronomy, Drafter of Proclamations, Investigating Commissioner of Hebei West Circuit, head of the Armaments Directorate, and acting State Finance Commissioner. Within the reform program he was involved in agricultural water-control, fiscal, military, and other administrative matters.

In 1075 Shen was sent to Liao and rejected Liao territorial demands, defending the territorial claims of the Song court. While serving in Hebei West Circuit he submitted thirty-one proposals to reform military administration and strengthen frontier defense. In the Armaments Directorate he developed his theory of the “six excellences of a bow” and recommended mass production of divine-arm crossbows, after which weapons output increased more than tenfold according to the source.

Diplomatic Achievements

In the third month of 1075, the eighth year of Xining, Liao demanded that Mount Huangwei be used as the Song–Liao boundary. Shen searched older records in the Bureau of Military Affairs and found that previous agreements had used the ancient Great Wall as the boundary, whereas Mount Huangwei lay thirty li south of it. He memorialized the finding to the court. Emperor Shenzong rewarded him with one thousand taels of silver and sent him to Liao as a return-thanks envoy.

Shen prepared several dozen relevant archival letters in advance and had his staff memorize them. During negotiations, whenever the Khitan grand councilor Yang Yijie raised an argument, Shen instructed his clerks to answer by citing the appropriate documentary clause. Six rounds of negotiation followed. Yang eventually had no documentary response, and the Liao court made some concessions. Tensions between the two states were temporarily eased. On his return Shen compiled the Illustrated Notes on the Mission to the Khitan from the geography, terrain, customs, and local life encountered along the route and presented the work to the court.

Literature and the Arts

Shen Kuo also made contributions to literature and the arts. He collected calligraphy and painting from childhood and was knowledgeable about musical theory. He made detailed records of contemporary popular banquet music, calculated pipe lengths for the twelve pitch standards, and explained resonance between musical instruments. He once presented his Treatise on Music to Ouyang Xiu. In that work he criticized the contemporary habit of mechanically imitating ancient music without understanding its principles and emphasized music's educative function. In his later years Shen played the qin, and Dream Pool Essays records musical theory and instrument-making techniques in considerable detail.

Medicine and Pharmacology

The Qiantang Shen family had a tradition of medical and pharmaceutical learning and possessed a family collection of prescriptions titled Prescriptions for Broad Relief. Influenced by this background, Shen began his medical studies by collecting prescriptions. He had been physically weak since childhood and often took herbal medicine, and prolonged illness encouraged him to study medicine for himself. In Good Prescriptions of Su and Shen he recorded many prescriptions and items of medical knowledge, including the “Shenbao Pill” prescription that cured his long-standing neck pain. He also investigated medicinal substances, for example distinguishing gelsemium from the plant called wild kudzu.

Astronomy, Cartography, Mathematics and the Documentary Record

In 1072 Shen Kuo was placed in charge of the Astronomical Bureau. Its officials being "marketplace pedlars, ignorant of instruments and figures alike," he reformed the office and improved its instruments: he set up an armillary sphere, a gnomon table and a five-vessel clepsydra, brought Wei Pu of Chuzhou to check a new calendar — completed in the intercalary fourth month of 1075 as the Fengyuan calendar — and called for the empire's astrological books to be submitted, employing scholars of various kinds and dividing the technical subjects into five. His instrumental improvements were concrete: he removed from the armillary sphere the lunar-path ring, which could not show the moon's true motion, and enlarged the sighting tube to make observation of the pole star easier; he changed the curved copper spout of the clepsydra to a straight-necked jade mouth and moved it lower on the vessel so that the water ran more freely and the mouth lasted longer; and, against the effect of atmospheric refraction on measurement, he urged the use of three shadow tables. He observed the heavens closely, three times a night for three months, making more than two hundred drawings, and concluded roughly that the pole star stood "more than three degrees from the celestial pole"; and by gnomon and clepsydra he found that the true solar day varies in length through the year — modern reckoning puts the difference between its extremes at only fifty-one seconds. The Fengyuan calendar moved the critical hour of the 1077 winter solstice from noon to midnight and changed the intercalary twelfth month to an intercalary first, to correct the reckoning of the solar and lunar terms, and verified the change by comparing the shadows at the beginning of winter and of spring, so that "the objectors were silenced and the calendar settled"; and his Twelve Qi calendar, which fixed the months by the solar terms, agreed with the actual motion of the heavens and suited the farmer's work, its principle being the same as that of the Shaw calendar used by the British Meteorological Office nine hundred years later.

In geography and cartography his work rested equally on measurement. In 1072 he directed the dredging of the Bian river, and to master it measured in person the fall of the river over more than eight hundred and forty li from the Shangshan gate at Kaifeng to the Huai mouth at Sizhou, using the method of measuring by terraced weirs; he found a difference in level of 63.3 metres over a straight-line distance of 420 kilometres, the earliest record in the surviving literature of the method, process and result of levelling. The Maps of the Prefectures and Counties of the Empire, compiled to imperial order over twelve years and finished in 1087, were of a scale and detail rare before their time: twenty sheets in all, a general map of the empire and maps of its regions, at a scale of one in nine hundred thousand; in method he set out nine principles — scale, orientation, mutual correspondence, cross-checking, height, diagonal, and the straight and the circuitous — and divided the bearings into twenty-four points, greatly improving the scientific quality of the maps. He also drew maps by the "flying bird" method, taking the distances a bird would fly, in place of the traditional pacing along the roads, which much increased their accuracy. Inspecting the frontier defences of Hebei he once built a three-dimensional model of the mountains, roads and terrain on wooden boards and presented it to Shenzong, the first clear record in Chinese cartographic history of a wooden relief map, seven hundred years before the relief models that appeared in Switzerland in the eighteenth century.

In mathematics and optics, and in what he recorded for others, his contribution is likewise considerable. In mathematics he is known for the "gap-accumulation" and "arc-sagitta" methods: the first, building on the formula for volume, uses analogy and induction to turn the summing of discrete units into the solving of a continuous whole, and already has the idea of a continuous model; the second is in effect a method of finding the arc from the chord, its principle being to take the straight as the local equivalent of the curve, and he was the first in the history of Chinese mathematics to derive a practical approximate formula relating chord, sagitta and arc. In optics he used the concept of the "focus" to state that light travels in straight lines, studied the differing images formed by plane, concave and convex mirrors, proposed that a small plane mirror ground convex "would take in the whole face," and was the first to record "verifying a death by red light," the earliest Chinese record of the use of a light filter. In acoustics he explained why a soldier sleeping on a leather quiver could hear men and horses several li away, and analysed the acoustics of bell casting. In chemistry he recorded that at Yanshan in Xinzhou "boiling vitriol gives copper, and an iron cauldron used long for boiling vitriol turns to copper as well," an important source for the history of hydrometallurgy; he was also the first to give the scientific name "petroleum," making ink from its soot and inscribing it "Stone Fluid of Yanchuan," and foretelling that "this thing will surely come into great use in the world." In physical geography he inferred from the shells and pebbles embedded in the cliffs of the Taihang mountains that the place had once been seashore and that "what we call the mainland is nothing but silt," and from the summits of the Yandang peaks lying in one plane that they had been formed by water erosion. The Dream Pool Essays also contain the earliest account of the whole process of Bi Sheng's movable type in baked clay and of the fate of his type, a technique honoured as "the Shen Cunzhong method," as well as the method of the river engineer Gao Chao in closing the breach at Shanghu, precious material for the later historian of science and technology.

Personal Relations

• Father: Shen Zhou, courtesy name Wangzhi, passed the imperial examination in 1015, the eighth year of Dazhong Xiangfu
• Mother: Lady Xu of Wu County, Suzhou, younger sister of Xu Dong
• Elder brother: Shen Pi, who held local offices including Magistrate of Ningguo County
• Paternal uncle: Shen Tong, passed the imperial examination in 1000, the third year of Xianping
• Nephews: Shen Gou and Shen Liao, both well-known literati of the period
• Second wife: Daughter of Zhang Chu
• Maternal cousins: Mei Yaochen, Huang Tingjian, and Wang Anli; Lady Xu's sister married Xie Tao, whose daughters in turn married Mei Yaochen, Huang Tingjian, and Wang Anli, the younger brother of Wang Anshi
• Zhang Chu: Fiscal Commissioner of Huainan Circuit; recommended Shen Kuo for transfer to the capital and later became both his teacher and father-in-law
• Ouyang Xiu: Shen presented his Treatise on Music to him in hopes of receiving support
• Wang Anshi: Shen's superior and political ally; also wrote the epitaph for Shen's father
• Wei Pu: Commoner astronomer whom Shen promoted and invited to prepare a new calendar
• Xu Dong: Shen's maternal uncle, military theorist, and author of the Tiger Seal Classic
• Wang Qi: Physician who treated Shen's eye disorder and neck pain
• Emperor Shenzong of Song: Shen Kuo's principal ruler, who valued him and repeatedly adopted his proposals
• Emperor Renzong of Song: Emperor during Shen's successful jinshi examination
• Wu Chong: Grand Councilor who succeeded Wang Anshi; discussed the Service Exemption Law with Shen
• Cai Que: Attendant Censor whose impeachment led to Shen's removal from the State Finance Commission
• Xiao Xi: Liao envoy who confronted Shen during the Song–Liao border negotiations
• Yang Yijie: Khitan grand councilor who negotiated with Shen in Liao
• Xu Xi: Commander responsible for the defeat at Yongle City, which implicated Shen and led to his demotion

Historical Assessment

Northern Song and Contemporary Assessments

• The History of Song states that Shen “was broadly learned and skilled in writing; in astronomy, geography, calendrical science, music, medicine, divination, and calculation, there was nothing he did not understand, and on all of them he wrote discussions.”
• Emperor Shenzong valued Shen's abilities. The source records the emperor as saying, “No one has spoken of this as he has; I shall consider it,” in approving Shen's views concerning vehicles and salt wells.
• Wang Anshi said of Shen: “Shen is a scholar-official, accustomed to and knowledgeable about the advantages and disadvantages; by nature he is also cautious and meticulous and should not make reckless recommendations.”
• Cai Que impeached Shen, accusing him of speaking privately to the chief minister rather than publicly about laws and regulations he considered unsuitable and of hoping that the New Policies could be shaken after Wang Anshi's departure. The accusation reflects suspicion of Shen within the reform faction itself.

Song and Yuan Periods

• Southern Song scholars frequently cited Dream Pool Essays. Hong Mai, for example, cited Shen's accounts many times in Spontaneous Essays of the Studio of Forbearance.
• The bibliographical treatise of the History of Song records a number of Shen's writings, showing that they continued to circulate in the Southern Song.
• The History of Song, compiled under the Yuan by a team headed by Tuo Tuo, included a biography of Shen and described him as “broadly learned and skilled in writing.”

Ming and Qing Periods

• Ming scholar Chen Jiru praised Shen as “widely informed, possessed of a powerful memory, and versed in everything.”
• Qing scholar Ji Yun, in the Annotated Catalog of the Complete Imperial Library, wrote of Dream Pool Essays: “Among Northern Song scholars, Shen Kuo was exceptionally broad in learning; he investigated contemporary institutions and the affairs of his own age without exception.”
• Qing evidential scholars frequently examined records in Dream Pool Essays. Qian Daxin, Wang Mingsheng, and others cited Shen's accounts in their works.

Modern Assessments

• British historian of science Joseph Needham, in Science and Civilisation in China, called Shen Kuo “one of the greatest scientific minds in the whole history of China” and described Dream Pool Essays as a landmark in the history of Chinese science.
• Hu Daojing's Critical Collation and Verification of Dream Pool Essays systematically organized materials on Shen's life and writings and became a foundational work in modern Shen Kuo studies.
• Xu Gui's study of Shen Kuo's birth and death dates reexamined the chronology and proposed the dates 1032–1096.
• Deng Guangming's study arguing that Wanchun Polder was not built by Shen Kuo reexamined the issue of Shen's role in the project.