L—— (smiling.) "And what I always do in inventing a mathematical demonstration."
To the good natured reader we need offer no apology; to the ill natured we dare attempt none, for introducing these detailed views of the first attempts of young invention. They are not exhibited as models, either to do honour to the tutor or his pupils; but simply to show, how the mind may be led from the easiest steps, to what are supposed to be difficult in education. By imagining ourselves to be in the same situation with children, we may guess what things are difficult to them; and if we can recollect the course of our own minds in acquiring knowledge, or in inventing, we may by retracing the same steps instruct others. The order that is frequently followed by authors, in the division and subdivision of their elementary treatises, is not always the best for those who are to learn. Such authors are usually more intent upon proving to the learned that they understand their subject, than upon communicating their knowledge to the ignorant. Parents and tutors must, therefore, supply familiar oral instruction, and those simple, but essential explanations, which books disdain, or neglect to give. And there is this advantage in all instruction given in conversation, that it can be made interesting by a thousand little circumstances, which are below the dignity of didactic writers. Gradually we may proceed from simple to more complicated contrivances. The invention of experiments to determine a theory, or to ascertain the truth of an assertion, must be particularly useful to the understanding. Any person, who has attended to experiments in chemistry and natural philosophy, must know, that invention can be as fully and elegantly displayed upon these subjects as upon any in the fine arts or literature. There is one great advantage in scientific invention; it is not dependent upon capricious taste for its reward. The beauty and elegance of a poem may be disputed by a thousand amateurs; there can be but one opinion about the truth of a discovery in science.
Independent of all ambition, there is considerable pleasure in the pursuit of experimental knowledge. Children especially, before they are yet fools to fame, enjoy this substantial pleasure. Nor are we to suppose that children have not capacities for such pursuits; they are peculiarly suited to their capacity. They love to see experiments tried, and to try them. They show this disposition not only wherever they are encouraged, but wherever they are permitted to show it; and if we compare their method of reasoning with the reasonings of the learned, we shall sometimes be surprised. They have no prejudices, therefore they have the complete use of all their senses; they have few ideas, but those few are distinct; they can be analyzed and compared with ease; children, therefore, judge and invent better, in proportion to their knowledge, than most grown up people.
Dr. Hooke observes, that a sensible man, in solving any philosophical problem, should always lean to that side which is opposite to his favourite taste. A chemist is disposed to account for every thing by chemical means; a geometrician is inclined to solve every problem geometrically; and a mechanic accounts for all the phenomena of nature by the laws of mechanism. This undue bias upon the minds of ingenious people, has frequently rendered their talents less useful to mankind. It is the duty of those who educate ingenious children, to guard against this species of scientific insanity.
There are prejudices of another description, which are fatal to inventive genius; some of these are usually found to attend ignorance, and others sometimes adhere to the learned. Ignorant people, if they possess any degree of invention, are so confident in their own abilities, that they will not take the pains to inquire what others have thought or done; they disdain all general principles, and will rather scramble through some by-path of their own striking out, than condescend to be shown the best road by the most enlightened guide. For this reason, self-taught geniuses, as they are called, seldom go beyond a certain point in their own education, and the praise we bestow upon their ingenuity is always accompanied with expressions of regret: "It is a pity that such a genius had not the advantages of a good education."
The learned, on the contrary, who have been bred up in reverence for established opinions, and who have felt in many instances the advantage of general principles, are apt to adhere too pertinaciously to their theories, and hence they neglect or despise new observations. How long did the maxim, that nature abhors a vacuum, content the learned! And how many discoveries were retarded by this single false principle! For a great number of years it was affirmed and believed, that all objects were seen by the intervention of visual rays, proceeding from the eye much in the same manner as we feel any object at a distance from us by the help of a stick.[55] Whilst this absurd analogy satisfied the mind, no discoveries were made in vision, none were attempted. A prepossession often misleads the industry of active genius. Dr. Hooke, in spite of the ridicule which he met with, was firm in his belief, that mankind would discover some method of sailing in the air. Balloons have justified his prediction; but all his own industry in trying experiments upon flying was wasted, because he persisted in following a false analogy to the wings of birds. He made wings of various sorts; till he took it for granted that he must learn to fly by mechanical means: had he applied to chemistry, he might have succeeded. It is curious to observe, how nearly he once touched upon the discovery, and yet, misled by his prepossessions, quitted his hold. He observed, that the air cells[56] of fishes are filled with air, which buoys them up in the water; and he supposes that this air is lighter than common air. Had he pursued this idea, he might have invented balloons; but he returned with fatal perseverance to his old theory of wings. From such facts, we may learn the power and danger of prejudice in the most ingenious minds; and we shall be careful to preserve our pupils early from its blind dominion.
The best preservation against the presumption to which ignorance is liable, and the best preservative against the self sufficiency to which the learned are subject, is the habit of varying our studies and occupations. Those who have a general view of the whole map of human knowledge, perceive how many unexplored regions are yet to be cultivated by future industry; nor will they implicitly submit to the reports of ignorant voyagers. No imaginary pillars of Hercules, will bound their enterprises. There is no presumption in believing, that much more is possible to science than ever human ingenuity has executed; therefore, young people should not be ridiculed for that sanguine temper which excites to great inventions. They should be ridiculed only when they imagine that they possess the means of doing things to which they are unequal. The fear of this deserved ridicule, will stimulate them to acquire knowledge, and will induce them to estimate cautiously their own powers before they hazard their reputation. We need not fear that this caution should repress their activity of mind; ambition will secure their perseverance, if they are taught that every acquisition is within the reach of unremitting industry. This is not an opinion to be artfully inculcated to serve a particular purpose, but it is an opinion drawn from experience; an opinion which men of the highest abilities and integrity, of talents and habits the most dissimilar, have confirmed by their united testimony. Helvetius maintained, that no great man ever formed a great design which he was not also capable of executing.
Even where great perseverance is exercised, the choice of the subjects on which the inventive powers are employed determines, in a great measure, their value: therefore, in the education of ingenious children, we should gradually turn their attention from curious trifles to important objects. Boverick,[57] who made chains "to yoke a flea," must have possessed exquisite patience; besides his chain of two hundred links, with its padlock and key, all weighing together less than the third part of a grain, this indefatigable minute artificer was the maker of a landau, which opened and shut by springs: this equipage, with six horses harnessed to it, a coachman sitting on the box, with a dog between his legs, four inside and two outside passengers, besides a postilion riding one of the fore horses, was drawn with all the ease and safety imaginable by a well trained flea! The inventor and executor of this puerile machine, bestowed on it, probably, as much time as would have sufficed to produce Watt's fire engine, or Montgolfier's balloon. It did not, perhaps, cost the Marquis of Worcester more exertion to draw out his celebrated century of inventions; it did not, perhaps, cost Newton more to write those queries which Maclaurin said he could never read without feeling his hair stand on end with admiration.
Brebeuf, a French wit, wrote a hundred and fifty epigrams upon a painted lady; a brother wit, fired with emulation, wrote upon the same subject three hundred more, making in all four hundred and fifty epigrams, each with appropriate turns of their own. Probably, Pope and Parnell did not rack their invention so much, or exercise more industry in completing "The Rape of the Lock," or "The Rise of Woman." These will live for ever; who will read the four hundred and fifty epigrams?