No. 182.
Mr. Denby to Mr. Bayard.

No. 394.]

Sir: I regard the inclosed memorial as of sufficient importance to send to you.

It signalizes the adoption of the two very important steps in progress to which I have already called your attention, to wit, the sending of ten or twelve officials abroad to study western affairs, and the introduction of mathematics and western science into competitive examinations.

Taken in connection with the construction of a railway in Formosa, and the railroads from the Kaiping coal mines to Taku and from Taku to Tientsin, it is seen that China has really had an awakening.

Very minute directions are given to the traveling officials to study the customs, politics, fortifications, arsenals, steamships, railways, warlike inventions, etc., in the various countries visited and to report thereon. The importance of the introduction of mathematics and physical science as studies can not be overrated.

In the memorial submitted a labored argument is made to prove that this new departure is simply a return to ancient Chinese methods.

It is stated that from 1122 to 255 B. C. mathematics was classed as one of the six arts, these being propriety, music, archery, charioteering, study, and mathematics, and from 620 to 907 A. D. “men qualified in mathematics were selected for official preferment.” * * * The memorial marks a revival of learning which is destined to work mighty changes. Whence the impetus came is not an essential inquiry. It is not improper to state, however, that in an analysis of the causes of progress it will be found that our own country, at the beginning, under the ministration of Burlingame and his predecessors and on down to the present hour, has borne its full share in the material and educational development of China. If other nations, as a late writer in the Atlantic Monthly asserts, opened with their guns the way and we simply followed, it must still be admitted that our peaceful treatment has borne fruits no less precious than the commercial advantages won by arms.

I have, etc.,

Charles Denby.
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[Inclosure in No. 394.—Extract from Chinese Times.]

an important memorial on educational reforms.

A memorial from the Tsung-li yamên submitting a proposal for the introduction of mathematics and other western sciences into the civil competitive examinations, provincial and metropolitan.

On the 18th of April, 1887, the grand councilor received an Imperial rescript wherein Her Majesty the Empress acknowledged the receipt of a memorial from a censor, one Ch’en Cho Ying, proposing the granting of literary degrees to mathematicians, and requesting that, in appointing secretaries and others for our diplomatic service abroad, the applicants should he chosen from those officials who have traveled in foreign countries. He also proposed the purchase of irrigation machinery from abroad.

Upon receipt of the above memorial Her Majesty ordered the Tsung-li yamên in conjunction with the boards of revenue and ceremonies and Prince Chun, to consider the measures proposed and submit a memorial thereon.

Accordingly, in obedience to the Imperial commands, we have deliberated upon the matter in question, and, lifting our heads, we humbly perceive the solicitude of our sacred sovereign, which embraces everything which concerns the national welfare, being specially circumspect in the bestowal of civil ranks and most earnest in encouraging men of talent. Such solicitude can never be forgotten.

With reference to the memorial of the censor above referred to, we find that the memorialist proceeds to say:

“Since the beginning of intercourse with western countries, the arsenals, dockyards, the Tung-wên College at Peking, and the Fang Yuan Kuan at Shanghai, have been the resorts for the acquisition of western learning and western sciences. There are, indeed, to be found young men who, going abroad in their youth, have mastered the western arts, such as surveying, drawing, mechanics, and other branches; but judging from their conversation, these have become totally denationalized, and think it necessary to adopt foreign methods in all their doing.

“The different boards and metropolitan yamêns having recently been called upon to recommend candidates for going abroad, the memoralist would suppose the officials would embrace this opportunity to acquire knowledge of western affairs, yet three months have passed by and no recommendations have been heard of. Thus, it is evident that those who are zealous for western knowledge cannot be easily found. Mathematics being the foundation of all the western sciences, any one who would master them must start from that foundation; and although it is by no means necessary, or even perhaps possible, that one should master several of the sciences, yet when he has obtained a thorough mastery of mathematics, it will be easy to make further researches. The Kuo Tzu Chien (Imperial National Academy) was established for the study of mathematics, and in more recent years the different provincial examiners have added mathematics to the list of their examinations. Therefore, the memoralist would earnestly pray that Her Majesty direct the examiners to make a report of the examinations in mathematics, and allot an extra number of honors for the successful candidates in that study; that the original examination papers be submitted to the inspection of the Tsung-li yamên, and the graduates be ranked as official students of mathematics; and that at the provincial examinations the first and second trials shall be in the ‘four books’ and five classics, but in the third, in accordance with the rules governing the examination of Manchu interpreters, the five themes to be given shall be on mathematics, and the literary degrees be conferred on the successful candidates, in addition to the regulation number of graduates in purely literary studies. The same rule to he applied to the metropolitan examinations, the successful graduates from which to be employed in the capital or be sent abroad where they may pursue further studies in the various educational institutions of Europe; and on their return after the completion of their studies, they shall be placed in the Department of foreign affairs, to be appointed to our diplomatic service abroad. In this way official advancement will be through a regular course, and our officers will no longer be the contempt of modern times. Nor on the one hand will they be like those who, professing to know foreign affairs, are really ignorant; or, on the other, like those who are inclined to be partisans of foreigners, and ready to create trouble.”

Such were the words of the censor as contained in his memorial; and it is our opinion that plans for encouraging men of talent and learning should be suited to the circumstances of the times. During the years of 18S5 and 1867 the Tsung-li yamên, in a memorial to the Throne, proposed the examination of students in mathematics, who, in conformity with the rule in force at the Tung-wen Kuan in Canton, were to be appointed to official positions at the expiration of three years’ study.

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If the candidate were a Manchu, lie was to have the grade of official interpreter, and be allowed to take part in the provincial examinations for literary and other degrees; if he were a Chinese, he was to be classed as a kien shêng (collegian of the Imperial Academy), and be further privileged to participate in the provincial examinations; and both the Chinese and Manchus who were successful were to be appointed expectant interpreters. This memorial was sanctioned by Imperial decree, in the hope that the measures therein proposed would encourage and stimulate students and open a path for their personal advancement, so that in future years they might attain to positions of honor and fame.

But inasmuch as there were existing established rules governing the selection of graduates at the metropolitan and provincial examinations, it was most difficult to introduce innovations. Consequently, during the middle of Tao Kuang’s reign, although in a memorial from the then viceroy of the Two Kuangs, Chi Kung, he classed mechanics and mathematics as one of the five learned professions; and again, at the beginning of Hien Fêng’s reign, the Censor Wang Mao Yin made reference to it; lastly, in the year 1870, the viceroy of Fuhkien and Chekiaug, Ying Kuei, and others, in a memorial, advocated the introduction of mathematics. In each case the boards decided that the proposed measure was in violation of established usages, and the matter was stopped.

Mathematics, however, is classed as one of the six arts (these being propriety, music, archery, charioteering, study, and mathematics), and during the Chow dynasty, in advancing their men of talent and virtue, they considered those who understood mathematics as belonging to the six professions; and in the Tang dynasty men qualified in mathematics were selected for official preferment.

Our country had, in the remote past, framed a set of mathematical treatises which have served as models for hundreds of ages, and the National Academy was subsequently established, where a prescribed number of young men might be instructed in mathematics, the number to consist proportionately of Manchu, Mongolian, and Chinese, and the term of study to be several years. But mathematics, in order to be mastered, must be begun when one is young.

Our sacred sovereigns of successive dynasties, in their far-reaching schemes of improvement, availed themselves of the help of western mathematics, which they combined with our own, and in constructing their orreries, “Chi Taos” (equators), and other scientific representations that have remained standing monuments of their skill, and in manufacturing fire-arms and munitions of war, they borrowed the help of western methods. During the reign of Kang-hi, when wars with feudal states were frequent, two officers attached to the board of astronomy, Nan Huai Jên and Tang Jo Wang, were ordered by Imperial command to manufacture arms for the use of the army. These are historical facts, adduced to prove the force of our arguments. But people of the present day, who regard mathematics as a purely western science, have not given the subject their serious attention.

As for western scholars, we find that half their men of talent and capacity are drawn from their philosophical schools, which develop these intellects by the study of logic, and the other half spring from their marine, because the experience they gain by visiting different parts of the world emboldens their hearts and expands their knowledge. Progress or retrogression, therefore, does not depend simply on understanding the niceties of literary compositions.

Trigonometry and its collateral subjects are truly the foundation of western sciences, yet although one must begin with that study, he cannot stop here. Consequently, on both our southern and northern sea-board, there have been established arsenals, training-schools, military and naval academies, and those who complete the course of instruction in these institutions are placed on board-training ships, and those who are more advanced are appointed to positions in our navy. In this way it is hoped men of ability will be trained up to serve the country.

In order, however, to encourage young men to apply themselves to western studies, it is necessary that there should be an efficient system of selection and promotion. We, the ministers, in our deliberations, are aware that the regulations governing the civil competitive examinations can not be lightly changed, yet for the sake of encouraging men of ability, the existing methods might be modified. It is proposed, therefore, that His Majesty direct the provincial literary chancelors to issue at the competitive examinations, besides the subject usually given in the classics and poetry, a theme on mathematics; and should there be candidates for honors in that study and they be found proficient, that their examination papers be submitted to the inspection of the Tsung-li, yamên, and their names be officially registered. That further, when the provincial examination occurs, the successful graduates first proceed to the Tsung-li yamên, and there submit themselves to an examination in the following subjects: Philosophy, mathematics, mechanics, engineering, naval and military tactics, marine artillery, torpedoes, international law, and history; and should any one be proficient in any of the above subjects that he be sent to compete at the civil literary examinations [Page 230] in Peking under the same conditions as the other candidates; and in case of there being over twenty applicants the word “mathematics” shall be stamped upon their, examination papers, but no extra paper of this study need be given on this occasion.

The examination papers of these students shall be handed in from the “outside screen” to the “inside screen,” and out of every twenty candidates one shall be selected, provided that he is a thorough master of rhetoric; otherwise, rather than select unproficient graduates, no candidates will be accepted at all. And, however great the number of applicants may be, no more than three shall be selected at one time, in order to maintain a fixed limit.

The papers of the candidates at the probationary examination held tinder the direction of the Tsung-li yamên shall be handed in by the latter to the inspection and keeping of the board of ceremonies, and when the metropolitan examination occurs the provincial graduates who have passed successfully in mathematics shall take part under the same conditions as all the other candidates, selection to he made entirely in accordance with their literary proficiency.

By adopting the above-modifications for securing men of varied accomplishments the existing regulations for examining and promoting literary men will not be changed, while they serve the important purpose of encouraging men of talent. With regard to those in the different military and naval schools and on board training ships who have mastered their respective professions and are already in official position, but who do not desire to subject themselves to the competitive examinations, it shall be the duty of the minister in charge of the respective schools to recommend them for promotion in accordance with the time of their services. But the conditions governing such men shall be entirely different from those imposed upon candidates who participate in the literary examinations. Those of the latter class who graduate successfully from the metropolitan examinations will be retained at the capital, and wait for appointments to the Tung-wên College, where they will act as compilers, and devote themselves to further study until they may be sent to travel abroad or receive diplomatic appointments, selection to be made from time to time in accordance with merit and ability. In this manner those who manage our foreign relations will not be empty babblers, and they will, moreover, excel in usefulness those who are proficients only in western arts, without the complementary literary qualifications.

The censor we have above quoted, in a postscript memorial, requests that applicants for going abroad shall be impartially recommended by the officers of the boards and their selection be approved at the “metropolitan scrutiny.” We find that this “metropolitan scrutiny” is an important ordinance, carrying with it a restriction to the candidates recommended by the different yamêns, who, besides being “first class,” must be attached to the yamêns in some official capacity, and their merits and learning, their diligence or indolence, must have been looked into by their respective superiors and their competency for the position proved before they shall be admitted to the “metropolitan scrutiny.”

Those who are sent out of the capital on official service shall, during the first half year, have their acts examined into and recorded by their yamêns, but after that, it shall be the duty of the yamên wherein they are employed to take cognizance of their acts, inasmuch as the long separation will place those in the capital at a disadvantage in ascertaining their doings. With regard to those who are sent on a traveling tour abroad, the distance of the separation being still greater, it will be impracticable for the yamên officials to ascertain whether or not an officer who evinces, commendable energy at home maintains his zeal and studiousness abroad, and it will not do to record his doings at random.

It is proposed, therefore, that those who are really meritorious and pre-eminent in their respective yamdês and should obtain “first class” and pass at the “metropolitan scrutiny,” should be eligible to be sent abroad and during the first half year of their service they shall be regarded as “first-class” candidates for promotion; but after that it shall be the duty of the respective ambassadors to look after their conduct, and, if their ability and character are satisfactory, to submit their names to the Tsung-li yamên for submission to the Throne for the bestowal of promotion. But they shall not be further examined at the “metropolitan scrutiny.” Those whose term of service at the capital has expired shall first be sent to have audience of His Majesty, and then their names will be recorded for future appointments. And when the names of any have to be submitted to the Throne, it shall be by the board of ceremonies through the grand council; and whenever any vacancy occurs it shall be in the pleasure of His Majesty to appoint these expectant officials. But those who are to be selected to office by the boards shall also receive their appointments from them.

(The memorial extends to greater length, but the foregoing contains all that is important in it.)