In the next place he must be accustomed to sleep in an uncomfortable bed, which is the best way to find no bed uncomfortable. Speaking generally, a hard life, when once we have become used to it, increases our pleasant experiences; an easy life prepares the way for innumerable unpleasant experiences. Those who are too tenderly nurtured can only sleep on down; those who are used to sleep on bare boards can find them anywhere. There is no such thing as a hard bed for the man who falls asleep at once.
The body is, so to speak, melted and dissolved in a soft bed where one sinks into feathers and eider-down. The reins when too warmly covered become inflamed. Stone and other diseases are often due to this, and it invariably produces a delicate constitution, which is the seed-ground of every ailment.
The best bed is that in which we get the best sleep. Emile and I will prepare such a bed for ourselves during the daytime. We do not need Persian slaves to make our beds; when we are digging the soil we are turning our mattresses. I know that a healthy child may be made to sleep or wake almost at will. When the child is put to bed and his nurse grows weary of his chatter, she says to him, "Go to sleep." That is much like saying, "Get well," when he is ill. The right way is to let him get tired of himself. Talk so much that he is compelled to hold his tongue, and he will soon be asleep. Here is at least one use for sermons, and you may as well preach to him as rock his cradle; but if you use this narcotic at night, do not use it by day.
I shall sometimes rouse Emile, not so much to prevent his sleeping too much, as to accustom him to anything--even to waking with a start. Moreover, I should be unfit for my business if I could not make him wake himself, and get up, so to speak, at my will, without being called.
If he wakes too soon, I shall let him look forward to a tedious morning, so that he will count as gain any time he can give to sleep. If he sleeps too late I shall show him some favourite toy when he wakes. If I want him to wake at a given hour I shall say, "To-morrow at six I am going fishing," or "I shall take a walk to such and such a place. Would you like to come too?" He assents, and begs me to wake him. I promise, or do not promise, as the case requires. If he wakes too late, he finds me gone. There is something amiss if he does not soon learn to wake himself.
Moreover, should it happen, though it rarely does, that a sluggish child desires to stagnate in idleness, you must not give way to this tendency, which might stupefy him entirely, but you must apply some stimulus to wake him. You must understand that is no question of applying force, but of arousing some appetite which leads to action, and such an appetite, carefully selected on the lines laid down by nature, kills two birds with one stone.
If one has any sort of skill, I can think of nothing for which a taste, a very passion, cannot be aroused in children, and that without vanity, emulation, or jealousy. Their keenness, their spirit of imitation, is enough of itself; above all, there is their natural liveliness, of which no teacher so far has contrived to take advantage. In every game, when they are quite sure it is only play, they endure without complaint, or even with laughter, hardships which they would not submit to otherwise without floods of tears. The sports of the young savage involve long fasting, blows, burns, and fatigue of every kind, a proof that even pain has a charm of its own, which may remove its bitterness. It is not every master, however, who knows how to season this dish, nor can every scholar eat it without making faces. However, I must take care or I shall be wandering off again after exceptions.
It is not to be endured that man should become the slave of pain, disease, accident, the perils of life, or even death itself; the more familiar he becomes with these ideas the sooner he will be cured of that over-sensitiveness which adds to the pain by impatience in bearing it; the sooner he becomes used to the sufferings which may overtake him, the sooner he shall, as Montaigne has put it, rob those pains of the sting of unfamiliarity, and so make his soul strong and invulnerable; his body will be the coat of mail which stops all the darts which might otherwise find a vital part. Even the approach of death, which is not death itself, will scarcely be felt as such; he will not die, he will be, so to speak, alive or dead and nothing more. Montaigne might say of him as he did of a certain king of Morocco, "No man ever prolonged his life so far into death." A child serves his apprenticeship in courage and endurance as well as in other virtues; but you cannot teach children these virtues by name alone; they must learn them unconsciously through experience.
But speaking of death, what steps shall I take with regard to my pupil and the smallpox? Shall he be inoculated in infancy, or shall I wait till he takes it in the natural course of things? The former plan is more in accordance with our practice, for it preserves his life at a time when it is of greater value, at the cost of some danger when his life is of less worth; if indeed we can use the word danger with regard to inoculation when properly performed.
But the other plan is more in accordance with our general principles--to leave nature to take the precautions she delights in, precautions she abandons whenever man interferes. The natural man is always ready; let nature inoculate him herself, she will choose the fitting occasion better than we.
Do not think I am finding fault with inoculation, for my reasons for exempting my pupil from it do not in the least apply to yours. Your training does not prepare them to escape catching smallpox as soon as they are exposed to infection. If you let them take it anyhow, they will probably die. I perceive that in different lands the resistance to inoculation is in proportion to the need for it; and the reason is plain. So I scarcely condescend to discuss this question with regard to Emile. He will be inoculated or not according to time, place, and circumstances; it is almost a matter of indifference, as far as he is concerned. If it gives him smallpox, there will be the advantage of knowing what to expect, knowing what the disease is; that is a good thing, but if he catches it naturally it will have kept him out of the doctor's hands, which is better.
An exclusive education, which merely tends to keep those who have received it apart from the mass of mankind, always selects such teaching as is costly rather than cheap, even when the latter is of more use. Thus all carefully educated young men learn to ride, because it is costly, but scarcely any of them learn to swim, as it costs nothing, and an artisan can swim as well as any one. Yet without passing through the riding school, the traveller learns to mount his horse, to stick on it, and to ride well enough for practical purposes; but in the water if you cannot swim you will drown, and we cannot swim unless we are taught. Again, you are not forced to ride on pain of death, while no one is sure of escaping such a common danger as drowning. Emile shall be as much at home in the water as on land. Why should he not be able to live in every element? If he could learn to fly, he should be an eagle; I would make him a salamander, if he could bear the heat.
People are afraid lest the child should be drowned while he is learning to swim; if he dies while he is learning, or if he dies because he has not learnt, it will be your own fault. Foolhardiness is the result of vanity; we are not rash when no one is looking. Emile will not be foolhardy, though all the world were watching him. As the exercise does not depend on its danger, he will learn to swim the Hellespont by swimming, without any danger, a stream in his father's park; but he must get used to danger too, so as not to be flustered by it. This is an essential part of the apprenticeship I spoke of just now. Moreover, I shall take care to proportion the danger to his strength, and I shall always share it myself, so that I need scarcely fear any imprudence if I take as much care for his life as for my own.
A child is smaller than a man; he has not the man's strength or reason, but he sees and hears as well or nearly as well; his sense of taste is very good, though he is less fastidious, and he distinguishes scents as clearly though less sensuously. The senses are the first of our faculties to mature; they are those most frequently overlooked or neglected.
To train the senses it is not enough merely to use them; we must learn to judge by their means, to learn to feel, so to speak; for we cannot touch, see, or hear, except as we have been taught.
There is a mere natural and mechanical use of the senses which strengthens the body without improving the judgment. It is all very well to swim, run, jump, whip a top, throw stones; but have we nothing but arms and legs? Have we not eyes and ears as well; and are not these organs necessary for the use of the rest? Do not merely exercise the strength, exercise all the senses by which it is guided; make the best use of every one of them, and check the results of one by the other. Measure, count, weigh, compare. Do not use force till you have estimated the resistance; let the estimation of the effect always precede the application of the means. Get the child interested in avoiding insufficient or superfluous efforts. If in this way you train him to calculate the effects of all his movements, and to correct his mistakes by experience, is it not clear that the more he does the wiser he will become?
Take the case of moving a heavy mass; if he takes too long a lever, he will waste his strength; if it is too short, he will not have strength enough; experience will teach him to use the very stick he needs. This knowledge is not beyond his years. Take, for example, a load to be carried; if he wants to carry as much as he can, and not to take up more than he can carry, must he not calculate the weight by the appearance? Does he know how to compare masses of like substance and different size, or to choose between masses of the same size and different substances? He must set to work to compare their specific weights. I have seen a young man, very highly educated, who could not be convinced, till he had tried it, that a bucket full of blocks of oak weighed less than the same bucket full of water.
All our senses are not equally under our control. One of them, touch, is always busy during our waking hours; it is spread over the whole surface of the body, like a sentinel ever on the watch to warn us of anything which may do us harm. Whether we will or not, we learn to use it first of all by experience, by constant practice, and therefore we have less need for special training for it. Yet we know that the blind have a surer and more delicate sense of touch than we, for not being guided by the one sense, they are forced to get from the touch what we get from sight. Why, then, are not we trained to walk as they do in the dark, to recognise what we touch, to distinguish things about us; in a word, to do at night and in the dark what they do in the daytime without sight? We are better off than they while the sun shines; in the dark it is their turn to be our guide. We are blind half our time, with this difference: the really blind always know what to do, while we are afraid to stir in the dark. We have lights, you say. What always artificial aids. Who can insure that they will always be at hand when required. I had rather Emil's eyes were in his finger tips, than in the chandler's shop.
If you are shut up in a building at night, clap your hands, you will know from the sound whether the space is large or small, if you are in the middle or in one corner. Half a foot from a wall the air, which is refracted and does not circulate freely, produces a different effect on your face. Stand still in one place and turn this way and that; a slight draught will tell you if there is a door open. If you are on a boat you will perceive from the way the air strikes your face not merely the direction in which you are going, but whether the current is bearing you slow or fast. These observations and many others like them can only be properly made at night; however much attention we give to them by daylight, we are always helped or hindered by sight, so that the results escape us. Yet here we use neither hand nor stick. How much may be learnt by touch, without ever touching anything!
I would have plenty of games in the dark! This suggestion is more valuable than it seems at first sight. Men are naturally afraid of the dark; so are some animals. Only a few men are freed from this burden by knowledge, determination, and courage. I have seen thinkers, unbelievers, philosophers, exceedingly brave by daylight, tremble like women at the rustling of a leaf in the dark. This terror is put down to nurses' tales; this is a mistake; it has a natural cause. What is this cause? What makes the deaf suspicious and the lower classes superstitious? Ignorance of the things about us, and of what is taking place around us.
When under special conditions we cannot form a fair idea of distance, when we can only judge things by the size of the angle or rather of the image formed in our eyes, we cannot avoid being deceived as to the size of these objects. Every one knows by experience how when we are travelling at night we take a bush near at hand for a great tree at a distance, and vice versa. In the same way, if the objects were of a shape unknown to us, so that we could not tell their size in that way, we should be equally mistaken with regard to it. If a fly flew quickly past a few inches from our eyes, we should think it was a distant bird; a horse standing still at a distance from us in the midst of open country, in a position somewhat like that of a sheep, would be taken for a large sheep, so long as we did not perceive that it was a horse; but as soon as we recognise what it is, it seems as large as a horse, and we at once correct our former judgment.
Whenever one finds oneself in unknown places at night where we cannot judge of distance, and where we cannot recognise objects by their shape on account of the darkness, we are in constant danger of forming mistaken judgments as to the objects which present themselves to our notice. Hence that terror, that kind of inward fear experienced by most people on dark nights. This is foundation for the supposed appearances of spectres, or gigantic and terrible forms which so many people profess to have seen. They are generally told that they imagined these things, yet they may really have seen them, and it is quite possible they really saw what they say they did see; for it will always be the case that when we can only estimate the size of an object by the angle it forms in the eye, that object will swell and grow as we approach it; and if the spectator thought it several feet high when it was thirty or forty feet away, it will seem very large indeed when it is a few feet off; this must indeed astonish and alarm the spectator until he touches it and perceives what it is, for as soon as he perceives what it is, the object which seemed so gigantic will suddenly shrink and assume its real size, but if we run away or are afraid to approach, we shall certainly form no other idea of the thing than the image formed in the eye, and we shall have really seen a gigantic figure of alarming size and shape. There is, therefore, a natural ground for the tendency to see ghosts, and these appearances are not merely the creation of the imagination, as the men of science would have us think.--Buffon, Nat. Hist.
In the text I have tried to show that they are always partly the creation of the imagination, and with regard to the cause explained in this quotation, it is clear that the habit of walking by night should teach us to distinguish those appearances which similarity of form and diversity of distance lend to the objects seen in the dark. For if the air is light enough for us to see the outlines there must be more air between us and them when they are further off, so that we ought to see them less distinctly when further off, which should be enough, when we are used to it, to prevent the error described by M. Buffon. [Whichever explanation you prefer, my mode of procedure is still efficacious, and experience entirely confirms it.] Accustomed to perceive things from a distance and to calculate their effects, how can I help supposing, when I cannot see, that there are hosts of creatures and all sorts of movements all about me which may do me harm, and against which I cannot protect myself? In vain do I know I am safe where I am; I am never so sure of it as when I can actually see it, so that I have always a cause for fear which did not exist in broad daylight. I know, indeed, that a foreign body can scarcely act upon me without some slight sound, and how intently I listen! At the least sound which I cannot explain, the desire of self-preservation makes me picture everything that would put me on my guard, and therefore everything most calculated to alarm me.
I am just as uneasy if I hear no sound, for I might be taken unawares without a sound. I must picture things as they were before, as they ought to be; I must see what I do not see. Thus driven to exercise my imagination, it soon becomes my master, and what I did to reassure myself only alarms me more. I hear a noise, it is a robber; I hear nothing, it is a ghost. The watchfulness inspired by the instinct of self-preservation only makes me more afraid. Everything that ought to reassure me exists only for my reason, and the voice of instinct is louder than that of reason. What is the good of thinking there is nothing to be afraid of, since in that case there is nothing we can do?
The cause indicates the cure. In everything habit overpowers imagination; it is only aroused by what is new. It is no longer imagination, but memory which is concerned with what we see every day, and that is the reason of the maxim, "Ab assuetis non fit passio," for it is only at the flame of imagination that the passions are kindled. Therefore do not argue with any one whom you want to cure of the fear of darkness; take him often into dark places and be assured this practice will be of more avail than all the arguments of philosophy. The tiler on the roof does not know what it is to be dizzy, and those who are used to the dark will not be afraid.
There is another advantage to be gained from our games in the dark. But if these games are to be a success I cannot speak too strongly of the need for gaiety. Nothing is so gloomy as the dark: do not shut your child up in a dungeon, let him laugh when he goes, into a dark place, let him laugh when he comes out, so that the thought of the game he is leaving and the games he will play next may protect him from the fantastic imagination which might lay hold on him.
There comes a stage in life beyond which we progress backwards. I feel I have reached this stage. I am, so to speak, returning to a past career. The approach of age makes us recall the happy days of our childhood. As I grow old I become a child again, and I recall more readily what I did at ten than at thirty. Reader, forgive me if I sometimes draw my examples from my own experience. If this book is to be well written, I must enjoy writing it.
I was living in the country with a pastor called M. Lambercier. My companion was a cousin richer than myself, who was regarded as the heir to some property, while I, far from my father, was but a poor orphan. My big cousin Bernard was unusually timid, especially at night. I laughed at his fears, till M. Lambercier was tired of my boasting, and determined to put my courage to the proof. One autumn evening, when it was very dark, he gave me the church key, and told me to go and fetch a Bible he had left in the pulpit. To put me on my mettle he said something which made it impossible for me to refuse.
I set out without a light; if I had had one, it would perhaps have been even worse. I had to pass through the graveyard; I crossed it bravely, for as long as I was in the open air I was never afraid of the dark.
As I opened the door I heard a sort of echo in the roof; it sounded like voices and it began to shake my Roman courage. Having opened the door I tried to enter, but when I had gone a few steps I stopped. At the sight of the profound darkness in which the vast building lay I was seized with terror and my hair stood on end. I turned, I went out through the door, and took to my heels. In the yard I found a little dog, called Sultan, whose caresses reassured me. Ashamed of my fears, I retraced my steps, trying to take Sultan with me, but he refused to follow. Hurriedly I opened the door and entered the church. I was hardly inside when terror again got hold of me and so firmly that I lost my head, and though the pulpit was on the right, as I very well knew, I sought it on the left, and entangling myself among the benches I was completely lost. Unable to find either pulpit or door, I fell into an indescribable state of mind. At last I found the door and managed to get out of the church and run away as I had done before, quite determined never to enter the church again except in broad daylight.
I returned to the house; on the doorstep I heard M. Lambercier laughing, laughing, as I supposed, at me. Ashamed to face his laughter, I was hesitating to open the door, when I heard Miss Lambercier, who was anxious about me, tell the maid to get the lantern, and M. Lambercier got ready to come and look for me, escorted by my gallant cousin, who would have got all the credit for the expedition. All at once my fears departed, and left me merely surprised at my terror. I ran, I fairly flew, to the church; without losing my way, without groping about, I reached the pulpit, took the Bible, and ran down the steps. In three strides I was out of the church, leaving the door open. Breathless, I entered the room and threw the Bible on the table, frightened indeed, but throbbing with pride that I had done it without the proposed assistance.
You will ask if I am giving this anecdote as an example, and as an illustration, of the mirth which I say should accompany these games. Not so, but I give it as a proof that there is nothing so well calculated to reassure any one who is afraid in the dark as to hear sounds of laughter and talking in an adjoining room. Instead of playing alone with your pupil in the evening, I would have you get together a number of merry children; do not send them alone to begin with, but several together, and do not venture to send any one quite alone, until you are quite certain beforehand that he will not be too frightened.
I can picture nothing more amusing and more profitable than such games, considering how little skill is required to organise them. In a large room I should arrange a sort of labyrinth of tables, armchairs, chairs, and screens. In the inextricable windings of this labyrinth I should place some eight or ten sham boxes, and one real box almost exactly like them, but well filled with sweets. I should describe clearly and briefly the place where the right box would be found. I should give instructions sufficient to enable people more attentive and less excitable than children to find it. Then having made the little competitors draw lots, I should send first one and then another till the right box was found. I should increase the difficulty of the task in proportion to their skill.
Picture to yourself a youthful Hercules returning, box in hand, quite proud of his expedition. The box is placed on the table and opened with great ceremony. I can hear the bursts of laughter and the shouts of the merry party when, instead of the looked-for sweets, he finds, neatly arranged on moss or cotton-wool, a beetle, a snail, a bit of coal, a few acorns, a turnip, or some such thing. Another time in a newly whitewashed room, a toy or some small article of furniture would be hung on the wall and the children would have to fetch it without touching the wall. When the child who fetches it comes back, if he has failed ever so little to fulfil the conditions, a dab of white on the brim of his cap, the tip of his shoe, the flap of his coat or his sleeve, will betray his lack of skill.
This is enough, or more than enough, to show the spirit of these games. Do not read my book if you expect me to tell you everything.
What great advantages would be possessed by a man so educated, when compared with others. His feet are accustomed to tread firmly in the dark, and his hands to touch lightly; they will guide him safely in the thickest darkness. His imagination is busy with the evening games of his childhood, and will find it difficult to turn towards objects of alarm. If he thinks he hears laughter, it will be the laughter of his former playfellows, not of frenzied spirits; if he thinks there is a host of people, it will not be the witches' sabbath, but the party in his tutor's study. Night only recalls these cheerful memories, and it will never alarm him; it will inspire delight rather than fear. He will be ready for a military expedition at any hour, with or without his troop. He will enter the camp of Saul, he will find his way, he will reach the king's tent without waking any one, and he will return unobserved. Are the steeds of Rhesus to be stolen, you may trust him. You will scarcely find a Ulysses among men educated in any other fashion.
I have known people who tried to train the children not to fear the dark by startling them. This is a very bad plan; its effects are just the opposite of those desired, and it only makes children more timid. Neither reason nor habit can secure us from the fear of a present danger whose degree and kind are unknown, nor from the fear of surprises which we have often experienced. Yet how will you make sure that you can preserve your pupil from such accidents? I consider this the best advice to give him beforehand. I should say to Emile, "This is a matter of self-defence, for the aggressor does not let you know whether he means to hurt or frighten you, and as the advantage is on his side you cannot even take refuge in flight. Therefore seize boldly anything, whether man or beast, which takes you unawares in the dark. Grasp it, squeeze it with all your might; if it struggles, strike, and do not spare your blows; and whatever he may say or do, do not let him go till you know just who he is. The event will probably prove that you had little to be afraid of, but this way of treating practical jokers would naturally prevent their trying it again."
Although touch is the sense oftenest used, its discrimination remains, as I have already pointed out, coarser and more imperfect than that of any other sense, because we always use sight along with it; the eye perceives the thing first, and the mind almost always judges without the hand. On the other hand, discrimination by touch is the surest just because of its limitations; for extending only as far as our hands can reach, it corrects the hasty judgments of the other senses, which pounce upon objects scarcely perceived, while what we learn by touch is learnt thoroughly. Moreover, touch, when required, unites the force of our muscles to the action of the nerves; we associate by simultaneous sensations our ideas of temperature, size, and shape, to those of weight and density. Thus touch is the sense which best teaches us the action of foreign bodies upon ourselves, the sense which most directly supplies us with the knowledge required for self-preservation.
As the trained touch takes the place of sight, why should it not, to some extent, take the place of hearing, since sounds set up, in sonorous bodies, vibrations perceptible by touch? By placing the hand on the body of a 'cello one can distinguish without the use of eye or ear, merely by the way in which the wood vibrates and trembles, whether the sound given out is sharp or flat, whether it is drawn from the treble string or the bass. If our touch were trained to note these differences, no doubt we might in time become so sensitive as to hear a whole tune by means of our fingers. But if we admit this, it is clear that one could easily speak to the deaf by means of music; for tone and measure are no less capable of regular combination than voice and articulation, so that they might be used as the elements of speech.
There are exercises by which the sense of touch is blunted and deadened, and others which sharpen it and make it delicate and discriminating. The former, which employ much movement and force for the continued impression of hard bodies, make the skin hard and thick, and deprive it of its natural sensitiveness. The latter are those which give variety to this feeling, by slight and repeated contact, so that the mind is attentive to constantly recurring impressions, and readily learns to discern their variations. This difference is clear in the use of musical instruments. The harsh and painful touch of the 'cello, bass-viol, and even of the violin, hardens the finger-tips, although it gives flexibility to the fingers. The soft and smooth touch of the harpsichord makes the fingers both flexible and sensitive. In this respect the harpsichord is to be preferred.
The skin protects the rest of the body, so it is very important to harden it to the effects of the air that it may be able to bear its changes. With regard to this I may say I would not have the hand roughened by too servile application to the same kind of work, nor should the skin of the hand become hardened so as to lose its delicate sense of touch which keeps the body informed of what is going on, and by the kind of contact sometimes makes us shudder in different ways even in the dark.
Why should my pupil be always compelled to wear the skin of an ox under his foot? What harm would come of it if his own skin could serve him at need as a sole. It is clear that a delicate skin could never be of any use in this way, and may often do harm. The Genevese, aroused at midnight by their enemies in the depth of winter, seized their guns rather than their shoes. Who can tell whether the town would have escaped capture if its citizens had not been able to go barefoot?
Let a man be always fore-armed against the unforeseen. Let Emile run about barefoot all the year round, upstairs, downstairs, and in the garden. Far from scolding him, I shall follow his example; only I shall be careful to remove any broken glass. I shall soon proceed to speak of work and manual occupations. Meanwhile, let him learn to perform every exercise which encourages agility of body; let him learn to hold himself easily and steadily in any position, let him practise jumping and leaping, climbing trees and walls. Let him always find his balance, and let his every movement and gesture be regulated by the laws of weight, long before he learns to explain them by the science of statics. By the way his foot is planted on the ground, and his body supported on his leg, he ought to know if he is holding himself well or ill. An easy carriage is always graceful, and the steadiest positions are the most elegant. If I were a dancing master I would refuse to play the monkey tricks of Marcel, which are only fit for the stage where they are performed; but instead of keeping my pupil busy with fancy steps, I would take him to the foot of a cliff. There I would show him how to hold himself, how to carry his body and head, how to place first a foot then a hand, to follow lightly the steep, toilsome, and rugged paths, to leap from point to point, either up or down. He should emulate the mountain-goat, not the ballet dancer.
As touch confines its operations to the man's immediate surroundings, so sight extends its range beyond them; it is this which makes it misleading; man sees half his horizon at a glance. In the midst of this host of simultaneous impressions and the thoughts excited by them, how can he fail now and then to make mistakes? Thus sight is the least reliable of our senses, just because it has the widest range; it functions long before our other senses, and its work is too hasty and on too large a scale to be corrected by the rest. Moreover, the very illusions of perspective are necessary if we are to arrive at a knowledge of space and compare one part of space with another. Without false appearances we should never see anything at a distance; without the gradations of size and tone we could not judge of distance, or rather distance would have no existence for us. If two trees, one of which was a hundred paces from us and the other ten, looked equally large and distinct, we should think they were side by side. If we perceived the real dimensions of things, we should know nothing of space; everything would seem close to our eyes.
The angle formed between any objects and our eye is the only means by which our sight estimates their size and distance, and as this angle is the simple effect of complex causes, the judgment we form does not distinguish between the several causes; we are compelled to be inaccurate. For how can I tell, by sight alone, whether the angle at which an object appears to me smaller than another, indicates that it is really smaller or that it is further off.
Here we must just reverse our former plan. Instead of simplifying the sensation, always reinforce it and verify it by means of another sense. Subject the eye to the hand, and, so to speak, restrain the precipitation of the former sense by the slower and more reasoned pace of the latter. For want of this sort of practice our sight measurements are very imperfect. We cannot correctly, and at a glance, estimate height, length, breadth, and distance; and the fact that engineers, surveyors, architects, masons, and painters are generally quicker to see and better able to estimate distances correctly, proves that the fault is not in our eyes, but in our use of them. Their occupations give them the training we lack, and they check the equivocal results of the angle of vision by its accompanying experiences, which determine the relations of the two causes of this angle for their eyes.
Children will always do anything that keeps them moving freely. There are countless ways of rousing their interest in measuring, perceiving, and estimating distance. There is a very tall cherry tree; how shall we gather the cherries? Will the ladder in the barn be big enough? There is a wide stream; how shall we get to the other side? Would one of the wooden planks in the yard reach from bank to bank? From our windows we want to fish in the moat; how many yards of line are required? I want to make a swing between two trees; will two fathoms of cord be enough? They tell me our room in the new house will be twenty-five feet square; do you think it will be big enough for us? Will it be larger than this? We are very hungry; here are two villages, which can we get to first for our dinner?
An idle, lazy child was to be taught to run. He had no liking for this or any other exercise, though he was intended for the army. Somehow or other he had got it into his head that a man of his rank need know nothing and do nothing--that his birth would serve as a substitute for arms and legs, as well as for every kind of virtue. The skill of Chiron himself would have failed to make a fleet-footed Achilles of this young gentleman. The difficulty was increased by my determination to give him no kind of orders. I had renounced all right to direct him by preaching, promises, threats, emulation, or the desire to show off. How should I make him want to run without saying anything? I might run myself, but he might not follow my example, and this plan had other drawbacks. Moreover, I must find some means of teaching him through this exercise, so as to train mind and body to work together. This is how I, or rather how the teacher who supplied me with this illustration, set about it.
When I took him a walk of an afternoon I sometimes put in my pocket a couple of cakes, of a kind he was very fond of; we each ate one while we were out, and we came back well pleased with our outing. One day he noticed I had three cakes; he could have easily eaten six, so he ate his cake quickly and asked for the other. "No," said I, "I could eat it myself, or we might divide it, but I would rather see those two little boys run a race for it." I called them to us, showed them the cake, and suggested that they should race for it. They were delighted. The cake was placed on a large stone which was to be the goal; the course was marked out, we sat down, and at a given signal off flew the children! The victor seized the cake and ate it without pity in the sight of the spectators and of his defeated rival.
The sport was better than the cake; but the lesson did not take effect all at once, and produced no result. I was not discouraged, nor did I hurry; teaching is a trade at which one must be able to lose time and save it. Our walks were continued, sometimes we took three cakes, sometimes four, and from time to time there were one or two cakes for the racers. If the prize was not great, neither was the ambition of the competitors. The winner was praised and petted, and everything was done with much ceremony. To give room to run and to add interest to the race I marked out a longer course and admitted several fresh competitors. Scarcely had they entered the lists than all the passers-by stopped to watch. They were encouraged by shouting, cheering, and clapping. I sometimes saw my little man trembling with excitement, jumping up and shouting when one was about to reach or overtake another--to him these were the Olympian games.
However, the competitors did not always play fair, they got in each other's way, or knocked one another down, or put stones on the track. That led us to separate them and make them start from different places at equal distances from the goal. You will soon see the reason for this, for I must describe this important affair at length.
Tired of seeing his favourite cakes devoured before his eyes, the young lord began to suspect that there was some use in being a quick runner, and seeing that he had two legs of his own, he began to practise running on the quiet. I took care to see nothing, but I knew my stratagem had taken effect. When he thought he was good enough (and I thought so too), he pretended to tease me to give him the other cake. I refused; he persisted, and at last he said angrily, "Well, put it on the stone and mark out the course, and we shall see." "Very good," said I, laughing, "You will get a good appetite, but you will not get the cake." Stung by my mockery, he took heart, won the prize, all the more easily because I had marked out a very short course and taken care that the best runner was out of the way. It will be evident that, after the first step, I had no difficulty in keeping him in training. Soon he took such a fancy for this form of exercise that without any favour he was almost certain to beat the little peasant boys at running, however long the course.
The advantage thus obtained led unexpectedly to another. So long as he seldom won the prize, he ate it himself like his rivals, but as he got used to victory he grew generous, and often shared it with the defeated. That taught me a lesson in morals and I saw what was the real root of generosity.
While I continued to mark out a different starting place for each competitor, he did not notice that I had made the distances unequal, so that one of them, having farther to run to reach the goal, was clearly at a disadvantage. But though I left the choice to my pupil he did not know how to take advantage of it. Without thinking of the distance, he always chose the smoothest path, so that I could easily predict his choice, and could almost make him win or lose the cake at my pleasure. I had more than one end in view in this stratagem; but as my plan was to get him to notice the difference himself, I tried to make him aware of it. Though he was generally lazy and easy going, he was so eager in his sports and trusted me so completely that I had great difficulty in making him see that I was cheating him. When at last I managed to make him see it in spite of his excitement, he was angry with me. "What have you to complain of?" said I. "In a gift which I propose to give of my own free will am not I master of the conditions? Who makes you run? Did I promise to make the courses equal? Is not the choice yours? Do not you see that I am favouring you, and that the inequality you complain of is all to your advantage, if you knew how to use it?" That was plain to him; and to choose he must observe more carefully. At first he wanted to count the paces, but a child measures paces slowly and inaccurately; moreover, I decided to have several races on one day; and the game having become a sort of passion with the child, he was sorry to waste in measuring the portion of time intended for running. Such delays are not in accordance with a child's impatience; he tried therefore to see better and to reckon the distance more accurately at sight. It was now quite easy to extend and develop this power. At length, after some months' practice, and the correction of his errors, I so trained his power of judging at sight that I had only to place an imaginary cake on any distant object and his glance was nearly as accurate as the surveyor's chain.
Of all the senses, sight is that which we can least distinguish from the judgments of the mind; as it takes a long time to learn to see. It takes a long time to compare sight and touch, and to train the former sense to give a true report of shape and distance. Without touch, without progressive motion, the sharpest eyes in the world could give us no idea of space. To the oyster the whole world must seem a point, and it would seem nothing more to it even if it had a human mind. It is only by walking, feeling, counting, measuring the dimensions of things, that we learn to judge them rightly; but, on the other hand, if we were always measuring, our senses would trust to the instrument and would never gain confidence. Nor must the child pass abruptly from measurement to judgment; he must continue to compare the parts when he could not compare the whole; he must substitute his estimated aliquot parts for exact aliquot parts, and instead of always applying the measure by hand he must get used to applying it by eye alone. I would, however, have his first estimates tested by measurement, so that he may correct his errors, and if there is a false impression left upon the senses he may correct it by a better judgment. The same natural standards of measurement are in use almost everywhere, the man's foot, the extent of his outstretched arms, his height. When the child wants to measure the height of a room, his tutor may serve as a measuring rod; if he is estimating the height of a steeple let him measure it by the house; if he wants to know how many leagues of road there are, let him count the hours spent in walking along it. Above all, do not do this for him; let him do it himself.
One cannot learn to estimate the extent and size of bodies without at the same time learning to know and even to copy their shape; for at bottom this copying depends entirely on the laws of perspective, and one cannot estimate distance without some feeling for these laws. All children in the course of their endless imitation try to draw; and I would have Emile cultivate this art; not so much for art's sake, as to give him exactness of eye and flexibility of hand. Generally speaking, it matters little whether he is acquainted with this or that occupation, provided he gains clearness of sense--perception and the good bodily habits which belong to the exercise in question. So I shall take good care not to provide him with a drawing master, who would only set him to copy copies and draw from drawings. Nature should be his only teacher, and things his only models. He should have the real thing before his eyes, not its copy on paper. Let him draw a house from a house, a tree from a tree, a man from a man; so that he may train himself to observe objects and their appearance accurately and not to take false and conventional copies for truth. I would even train him to draw only from objects actually before him and not from memory, so that, by repeated observation, their exact form may be impressed on his imagination, for fear lest he should substitute absurd and fantastic forms for the real truth of things, and lose his sense of proportion and his taste for the beauties of nature.
Of course I know that in this way he will make any number of daubs before he produces anything recognisable, that it will be long before he attains to the graceful outline and light touch of the draughtsman; perhaps he will never have an eye for picturesque effect or a good taste in drawing. On the other hand, he will certainly get a truer eye, a surer hand, a knowledge of the real relations of form and size between animals, plants, and natural objects, together with a quicker sense of the effects of perspective. That is just what I wanted, and my purpose is rather that he should know things than copy them. I would rather he showed me a plant of acanthus even if he drew a capital with less accuracy.
Moreover, in this occupation as in others, I do not intend my pupil to play by himself; I mean to make it pleasanter for him by always sharing it with him. He shall have no other rival; but mine will be a continual rivalry, and there will be no risk attaching to it; it will give interest to his pursuits without awaking jealousy between us. I shall follow his example and take up a pencil; at first I shall use it as unskilfully as he. I should be an Apelles if I did not set myself daubing. To begin with, I shall draw a man such as lads draw on walls, a line for each arm, another for each leg, with the fingers longer than the arm. Long after, one or other of us will notice this lack of proportion; we shall observe that the leg is thick, that this thickness varies, that the length of the arm is proportionate to the body. In this improvement I shall either go side by side with my pupil, or so little in advance that he will always overtake me easily and sometimes get ahead of me. We shall get brushes and paints, we shall try to copy the colours of things and their whole appearance, not merely their shape. We shall colour prints, we shall paint, we shall daub; but in all our daubing we shall be searching out the secrets of nature, and whatever we do shall be done under the eye of that master.
We badly needed ornaments for our room, and now we have them ready to our hand. I will have our drawings framed and covered with good glass, so that no one will touch them, and thus seeing them where we put them, each of us has a motive for taking care of his own. I arrange them in order round the room, each drawing repeated some twenty or thirty times, thus showing the author's progress in each specimen, from the time when the house is merely a rude square, till its front view, its side view, its proportions, its light and shade are all exactly portrayed. These graduations will certainly furnish us with pictures, a source of interest to ourselves and of curiosity to others, which will spur us on to further emulation. The first and roughest drawings I put in very smart gilt frames to show them off; but as the copy becomes more accurate and the drawing really good, I only give it a very plain dark frame; it needs no other ornament than itself, and it would be a pity if the frame distracted the attention which the picture itself deserves. Thus we each aspire to a plain frame, and when we desire to pour scorn on each other's drawings, we condemn them to a gilded frame. Some day perhaps "the gilt frame" will become a proverb among us, and we shall be surprised to find how many people show what they are really made of by demanding a gilt frame.
I have said already that geometry is beyond the child's reach; but that is our own fault. We fail to perceive that their method is not ours, that what is for us the art of reasoning, should be for them the art of seeing. Instead of teaching them our way, we should do better to adopt theirs, for our way of learning geometry is quite as much a matter of imagination as of reasoning. When a proposition is enunciated you must imagine the proof; that is, you must discover on what proposition already learnt it depends, and of all the possible deductions from that proposition you must choose just the one required.
In this way the closest reasoner, if he is not inventive, may find himself at a loss. What is the result? Instead of making us discover proofs, they are dictated to us; instead of teaching us to reason, our memory only is employed.
Draw accurate figures, combine them together, put them one upon another, examine their relations, and you will discover the whole of elementary geometry in passing from one observation to another, without a word of definitions, problems, or any other form of demonstration but super-position. I do not profess to teach Emile geometry; he will teach me; I shall seek for relations, he will find them, for I shall seek in such a fashion as to make him find. For instance, instead of using a pair of compasses to draw a circle, I shall draw it with a pencil at the end of bit of string attached to a pivot. After that, when I want to compare the radii one with another, Emile will laugh at me and show me that the same thread at full stretch cannot have given distances of unequal length. If I wish to measure an angle of 60 degrees I describe from the apex of the angle, not an arc, but a complete circle, for with children nothing must be taken for granted. I find that the part of the circle contained between the two lines of the angle is the sixth part of a circle. Then I describe another and larger circle from the same centre, and I find the second arc is again the sixth part of its circle. I describe a third concentric circle with a similar result, and I continue with more and more circles till Emile, shocked at my stupidity, shows me that every arc, large or small, contained by the same angle will always be the sixth part of its circle. Now we are ready to use the protractor.
To prove that two adjacent angles are equal to two right angles people describe a circle. On the contrary I would have Emile observe the fact in a circle, and then I should say, "If we took away the circle and left the straight lines, would the angles have changed their size, etc.?"
Exactness in the construction of figures is neglected; it is taken for granted and stress is laid on the proof. With us, on the other hand, there will be no question of proof. Our chief business will be to draw very straight, accurate, and even lines, a perfect square, a really round circle. To verify the exactness of a figure we will test it by each of its sensible properties, and that will give us a chance to discover fresh properties day by day. We will fold the two semi-circles along the diameter, the two halves of the square by the diagonal; he will compare our two figures to see who has got the edges to fit most exactly, i.e., who has done it best; we should argue whether this equal division would always be possible in parallelograms, trapezes, etc. We shall sometimes try to forecast the result of an experiment, to find reasons, etc.
Geometry means to my scholar the successful use of the rule and compass; he must not confuse it with drawing, in which these instruments are not used. The rule and compass will be locked up, so that he will not get into the way of messing about with them, but we may sometimes take our figures with us when we go for a walk, and talk over what we have done, or what we mean to do.
I shall never forget seeing a young man at Turin, who had learnt as a child the relations of contours and surfaces by having to choose every day isoperimetric cakes among cakes of every geometrical figure. The greedy little fellow had exhausted the art of Archimedes to find which were the biggest.
