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are based, first, on the fundamental antithesis of sensible and intellectual which pervades the whole pre-Socratic philosophy; in which is implied also the opposition of the permanent and transient, of the universal and particular. But the age of philosophy in which he lived seemed to require a further distinction;—numbers and figures were beginning to separate from ideas. The world could no longer regard justice as a cube, and was learning to see, though imperfectly, that the abstractions of sense were distinct from the abstractions of mind. Between the Eleatic being or essence and the shadows of phenomena, the Pythagorean principle of number found a place, and was, as Aristotle remarks, a conducting medium from one to the other. Hence Plato is led to introduce a third term which had not hitherto entered into the scheme of his philosophy. He had observed the use of mathematics in education; they were the best preparation for higher studies. The subjective relation between them further suggested an objective one; although the passage from one to the other is really imaginary (Metaph.). For metaphysical and moral philosophy has no connexion with mathematics; number and figure are the abstractions of time and space, not the expressions of purely intellectual conceptions. When divested of metaphor, a straight line or a square has no more to do with right and justice than a crooked line with vice. The figurative association was mistaken for a real one; and thus the three latter divisions of the Platonic proportion were constructed.

There is more difficulty in comprehending how he arrived at the first term of the series, which is nowhere else mentioned, and has no reference to any other part of his system. Nor indeed does the relation of shadows to objects correspond to the relation of numbers to ideas. Probably Plato has been led by the love of analogy (Timaeus) to make four terms instead of three, although the objects perceived in both divisions of the lower sphere are equally objects of sense. He is also preparing the way, as his manner is, for the shadows of images at the beginning of the seventh book, and the imitation of an imitation in the tenth. The line may be regarded as reaching from unity to infinity, and is divided into two unequal parts, and subdivided into two more; each lower sphere is the multiplication of the preceding. Of the four faculties, faith in the lower division has an intermediate position (cp. for the use of the word faith or belief, (Greek), Timaeus), contrasting equally with the vagueness of the perception of shadows (Greek) and the higher certainty of understanding (Greek) and reason (Greek).

The difference between understanding and mind or reason (Greek) is analogous to the difference between acquiring knowledge in the parts and the contemplation of the whole. True knowledge is a whole, and is at rest; consistency and universality are the tests of truth. To this self-evidencing knowledge of the whole the faculty of mind is supposed to correspond. But there is a knowledge of the understanding which is incomplete and in motion always, because unable to rest in the subordinate ideas. Those ideas are called both images and hypotheses—images because they are clothed in sense, hypotheses because they are assumptions only, until they are brought into connexion with the idea of good.

The general meaning of the passage, ‘Noble, then, is the bond which links together sight...And of this kind I spoke as the intelligible...’ so far as the thought contained in it admits of being translated into the terms of modern philosophy, may be described or explained as follows:—There is a truth, one and self-existent, to which by the help of a ladder let down from above, the human intelligence may ascend. This unity is like the sun in the heavens, the light by which all things are seen, the being by which they are created and sustained. It is the IDEA of good. And the steps of the ladder leading up to this highest or universal existence are the mathematical sciences, which also contain in themselves an element of the universal. These, too, we see in a new manner when we connect them with the idea of good. They then cease to be hypotheses or pictures, and become essential parts of a higher truth which is at once their first principle and their final cause.

We cannot give any more precise meaning to this remarkable passage, but we may trace in it several rudiments or vestiges of thought which are common to us and to Plato: such as (1) the unity and correlation of the sciences, or rather of science, for in Plato’s time they were not yet parted off or distinguished; (2) the existence of a Divine Power, or life or idea or cause or reason, not yet conceived or no longer conceived as in the Timaeus and elsewhere under the form of a person; (3) the recognition of the hypothetical and conditional character of the mathematical sciences, and in a measure of every science when isolated from the rest; (4) the conviction of a truth which is invisible, and of a law, though hardly a law of nature, which permeates the intellectual rather than the visible world.

The method of Socrates is hesitating and tentative, awaiting the fuller explanation of the idea of good, and of the nature of dialectic in the seventh book. The imperfect intelligence of Glaucon, and the reluctance of Socrates to make a beginning, mark the difficulty of the subject. The allusion to Theages’ bridle, and to the internal oracle, or demonic sign, of Socrates, which here, as always in Plato, is only prohibitory; the remark that the salvation of any remnant of good in the present evil state of the world is due to God only; the reference to a future state of existence, which is unknown to Glaucon in the tenth book, and in which the discussions of Socrates and his disciples would be resumed; the surprise in the answers; the fanciful irony of Socrates, where he pretends that he can only describe the strange position of the philosopher in a figure of speech; the original observation that the Sophists, after all, are only the representatives and not the leaders of public opinion; the picture of the philosopher standing aside in the shower of sleet under a wall; the figure of ‘the great beast’ followed by the expression of good-will towards the common people who would not have rejected the philosopher if they had known him; the ‘right noble thought’ that the highest truths demand the greatest exactness; the hesitation of Socrates in returning once more to his well-worn theme of the idea of good; the ludicrous earnestness of Glaucon; the comparison of philosophy to a deserted maiden who marries beneath her—are some of the most interesting characteristics of the sixth book.

Yet a few more words may be added, on the old theme, which was so oft discussed in the Socratic circle, of which we, like Glaucon and Adeimantus, would fain, if possible, have a clearer notion. Like them, we are dissatisfied when we are told that the idea of good can only be revealed to a student of the mathematical sciences, and we are inclined to think that neither we nor they could have been led along that path to any satisfactory goal. For we have learned that differences of quantity cannot pass into differences of quality, and that the mathematical sciences can never rise above themselves into the sphere of our higher thoughts, although they may sometimes furnish symbols and expressions of them, and may train the mind in habits of abstraction and self-concentration. The illusion which was natural to an ancient philosopher has ceased to be an illusion to us. But if the process by which we are supposed to arrive at the idea of good be really imaginary, may not the idea itself be also a mere abstraction? We remark, first, that in all ages, and especially in primitive philosophy, words such as being, essence, unity, good, have exerted an extraordinary influence over the minds of men. The meagreness or negativeness of their content has been in an inverse ratio to their power. They have become the forms under which all things were comprehended. There was a need or instinct in the human soul which they satisfied; they were not ideas, but gods, and to this new mythology the men of a later generation began to attach the powers and associations of the elder deities.

The idea of good is one of those sacred words or forms of thought, which were beginning to take the place of the old mythology. It meant unity, in which all time and all existence were gathered up. It was the truth of all things, and also the light in which they shone forth, and became evident to intelligences human and divine. It was the cause of all things, the power by which they were brought into being. It was the universal reason divested of a human personality. It was the life as well as the light of the world, all knowledge and all power were comprehended in it. The way to it was through the mathematical sciences, and these too were dependent on it. To ask whether God was the maker of it, or made by it, would be like asking whether God could be conceived apart from goodness, or goodness apart from God. The God of the Timaeus is not really at variance with the idea of good; they are aspects of the same, differing only as the personal from the impersonal, or the masculine from the neuter, the one being the expression or language of mythology, the other of philosophy.

This, or something like this, is the meaning of the idea of good as conceived by Plato. Ideas of number, order, harmony, development may also be said to enter into it. The paraphrase which has just been given of it goes beyond the actual words of Plato. We have perhaps arrived at the stage of philosophy which enables us to understand what he is aiming at, better than he did himself. We are beginning to realize what he saw darkly and at a distance. But if he could have been told that this, or some conception of the same kind, but higher than this, was the truth at which he was aiming, and the need which he sought to supply, he would gladly have recognized that more was contained in his own thoughts than he himself knew. As his words are few and his manner reticent and tentative, so must the style of his interpreter be. We should not approach his meaning more nearly by attempting to define it further. In translating him into the language of modern thought, we might insensibly lose the spirit of ancient philosophy. It is remarkable that although Plato speaks of the idea of good as the first principle of truth and being, it is nowhere mentioned in his writings except in this passage. Nor did it retain any hold upon the minds of his disciples in a later generation; it was probably unintelligible to them. Nor does the mention of it in Aristotle appear to have any reference to this or any other passage in his extant writings.

BOOK VII. And now I will describe in a figure the enlightenment or unenlightenment of our nature:—Imagine human beings living in an underground den which is open towards the light; they have been there from childhood, having their necks and legs chained, and can only see into the den. At a distance there is a fire, and between the fire and the prisoners a raised way, and a low wall is built along the way, like the screen over which marionette players show their puppets. Behind the wall appear moving figures, who hold in their hands various works of art, and among them images of men and animals, wood and stone, and some of the passers-by are talking and others silent. ‘A strange parable,’ he said, ‘and strange captives.’ They are ourselves, I replied; and they see only the shadows of the images which the fire throws on the wall of the den; to these they give names, and if we add an echo which returns from the wall, the voices of the passengers will seem to proceed from the shadows. Suppose now that you suddenly turn them round and make them look with pain and grief to themselves at the real images; will they believe them to be real? Will not their eyes be dazzled, and will they not try to get away from the light to something which they are able to behold without blinking? And suppose further, that they are dragged up a steep and rugged ascent into the presence of the sun himself, will not their sight be darkened with the excess of light? Some time will pass before they get the habit of perceiving at all; and at first they will be able to perceive only shadows and reflections in the water; then they will recognize the moon and the stars, and will at length behold the sun in his own proper place as he is. Last of all they will conclude:—This is he who gives us the year and the seasons, and is the author of all that we see. How will they rejoice in passing from darkness to light! How worthless to them will seem the honours and glories of the den! But now imagine further, that they descend into their old habitations;—in that underground dwelling they will not see as well as their fellows, and will not be able to compete with them in the measurement of the shadows on the wall; there will be many jokes about the man who went on a visit to the sun and lost his eyes, and if they find anybody trying to set free and enlighten one of their number, they will put him to death, if they can catch him. Now the cave or den is the world of sight, the fire is the sun, the way upwards is the way to knowledge, and in the world of knowledge the idea of good is last seen and with difficulty, but when seen is inferred to be the author of good and right—parent of the lord of light in this world, and of truth and understanding in the other. He who attains to the beatific vision is always going upwards; he is unwilling to descend into political assemblies and courts of law; for his eyes are apt to blink at the images or shadows of images which they behold in them—he cannot enter into the ideas of those who have never in their lives understood the relation of the shadow to the substance. But blindness is of two kinds, and may be caused either by passing out of darkness into light or out of light into darkness, and a man of sense will distinguish between them, and will not laugh equally at both of them, but the blindness which arises from fulness of light he will deem blessed, and pity the other; or if he laugh at the puzzled soul looking at the sun, he will have more reason to laugh than the inhabitants of the den at those who descend from above. There is a further lesson taught by this parable of ours. Some persons fancy that instruction is like giving eyes to the blind, but we say that the faculty of sight was always there, and that the soul only requires to be turned round towards the light. And this is conversion; other virtues are almost like bodily habits, and may be acquired in the same manner, but intelligence has a diviner life, and is indestructible, turning either to good or evil according to the direction given. Did you never observe how the mind of a clever rogue peers out of his eyes, and the more clearly he sees, the more evil he does? Now if you take such an one, and cut away from him those leaden weights of pleasure and desire which bind his soul to earth, his intelligence will be turned round, and he will behold the truth as clearly as he now discerns his meaner ends. And have we not decided that our rulers must neither be so uneducated as to have no fixed rule of life, nor so over-educated as to be unwilling to leave their paradise for the business of the world? We must choose out therefore the natures who are most likely to ascend to the light and knowledge of the good; but we must not allow them to remain in the region of light; they must be forced down again among the captives in the den to partake of their labours and honours. ‘Will they not think this a hardship?’ You should remember that our purpose in framing the State was not that our citizens should do what they like, but that they should serve the State for the common good of all. May we not fairly say to our philosopher,—Friend, we do you no wrong; for in other States philosophy grows wild, and a wild plant owes nothing to the gardener, but you have been trained by us to be the rulers and kings of our hive, and therefore we must insist on your descending into the den. You must, each of you, take your turn, and become able to use your eyes in the dark, and with a little practice you will see far better than those who quarrel about the shadows, whose knowledge is a dream only, whilst yours is a waking reality. It may be that the saint or philosopher who is best fitted, may also be the least inclined to rule, but necessity is laid upon him, and he must no longer live in the heaven of ideas. And this will be the salvation of the State. For those who rule must not be those who are desirous to rule; and, if you can offer to our citizens a better life than that of rulers generally is, there will be a chance that the rich, not only in this world’s goods, but in virtue and wisdom, may bear rule. And the only life which is better than the life of political ambition is that of philosophy, which is also the best preparation for the government of a State.

Then now comes the question,—How shall we create our rulers; what way is there from darkness to light? The change is effected by philosophy; it is not the turning over of an oyster-shell, but the conversion of a soul from night to day, from becoming to being. And what training will draw the soul upwards? Our former education had two branches, gymnastic, which was occupied with the body, and music, the sister art, which infused a natural harmony into mind and literature; but neither of these sciences gave any promise of doing what we want. Nothing remains to us but that universal or primary science of which all the arts and sciences are partakers, I mean number or calculation. ‘Very true.’ Including the art of war? ‘Yes, certainly.’ Then there is something ludicrous about Palamedes in the tragedy, coming in and saying that he had invented number, and had counted the ranks and set them in order. For if Agamemnon could not count his feet (and without number how could he?) he must have been a pretty sort of general indeed. No man should be a soldier who cannot count, and indeed he is hardly to be called a man. But I am not speaking of these practical applications of arithmetic, for number, in my view, is rather to be regarded as a conductor to thought and being. I will explain what I mean by the last expression:—Things sensible are of two kinds; the one class invite or stimulate the mind, while in the other the mind acquiesces. Now the stimulating class are the things which suggest contrast and relation. For example, suppose that I hold up to the eyes three fingers—a fore finger, a middle finger, a little finger—the sight equally recognizes all three fingers, but without number cannot further distinguish them. Or again, suppose two objects to be relatively great and small, these ideas of greatness and smallness are supplied not by the sense, but by the mind. And the perception of their contrast or relation quickens and sets in motion the mind, which is puzzled by the confused intimations of sense, and has recourse to number in order to find out whether the things indicated are one or more than one. Number replies that they are two and not one, and are to be distinguished from one another. Again, the sight beholds great and small, but only in a confused chaos, and not until they are distinguished does the question arise of their respective natures; we are thus led on to the distinction between the visible and intelligible. That was what I meant when I spoke of stimulants to the intellect; I was thinking of the contradictions which arise in perception. The idea of unity, for example, like that of a finger, does not arouse thought unless involving some conception of plurality; but when the one is also the opposite of one, the contradiction gives rise to reflection; an example of this is afforded by any object of sight. All number has also an elevating effect; it raises the mind out of the foam and flux of generation to the contemplation of being, having lesser military and retail uses also. The retail use is not required by us; but as our guardian is to be a soldier as well as a philosopher, the military one may be retained. And to our higher purpose no science can be better adapted; but it must be pursued in the spirit of a philosopher, not of a shopkeeper. It is concerned, not with visible objects, but with abstract truth; for numbers are pure abstractions—the true arithmetician indignantly denies that his unit is capable of division. When you divide, he insists that you are only multiplying; his ‘one’ is not material or resolvable into fractions, but an unvarying and absolute equality; and this proves the purely intellectual character of his study. Note also the great power which arithmetic has of sharpening the wits; no other discipline is equally severe, or an equal test of general ability, or equally improving to a stupid person.

Let our second branch of education be geometry. ‘I can easily see,’ replied Glaucon, ‘that the skill of the general will be doubled by his knowledge of geometry.’ That is a small matter; the use of geometry, to which I refer, is the assistance given by it in the contemplation of the idea of good, and the compelling the mind to look at true being, and not at generation only. Yet the present mode of pursuing these studies, as any one who is the least of a mathematician is aware, is mean and ridiculous; they are made to look downwards to the arts, and not upwards to eternal existence. The geometer is always talking of squaring, subtending, apposing, as if he had in view action; whereas knowledge is the real object of the study. It should elevate the soul, and create the mind of philosophy; it should raise up what has fallen down, not to speak of lesser uses in war and military tactics, and in the improvement of the faculties.

Shall we propose, as a third branch of our education, astronomy? ‘Very good,’ replied Glaucon; ‘the knowledge of the heavens is necessary at once for husbandry, navigation, military tactics.’ I like your way of giving useful reasons for everything in order to make friends of the world. And there is a difficulty in proving to mankind that education is not only useful information but a purification of the eye of the soul, which is better than the bodily eye, for by this alone is truth seen. Now, will you appeal to mankind in general or to the philosopher? or would you prefer to look to yourself only? ‘Every man is his own best friend.’ Then take a step backward, for we are out of order, and insert the third dimension which is of solids, after the second which is of planes, and then you may proceed to solids in motion. But solid geometry is not popular and has not the patronage of the State, nor is the use of it fully recognized; the difficulty is great, and the votaries of the study are conceited and impatient. Still the charm of the pursuit wins upon men, and, if government would lend a little assistance, there might be great progress made. ‘Very true,’ replied Glaucon; ‘but do I understand you now to begin with plane geometry, and to place next geometry of solids, and thirdly, astronomy, or the motion of solids?’ Yes, I said; my hastiness has only hindered us.

‘Very good, and now let us proceed to astronomy, about which I am willing to speak in your lofty strain. No one can fail to see that the contemplation of the heavens draws the soul upwards.’ I am an exception, then; astronomy as studied at present appears to me to draw the soul not upwards, but downwards. Star-gazing is just looking up at the ceiling—no better; a man may lie on his back on land or on water—he may look up or look down, but there is no science in that. The vision of knowledge of which I speak is seen not with the eyes, but with the mind. All the magnificence of the heavens is but the embroidery of a copy which falls far short of the divine Original, and teaches nothing about the absolute harmonies or motions of things. Their beauty is like the beauty of figures drawn by the hand of Daedalus or any other great artist, which may be used for illustration, but no mathematician would seek to obtain from them true conceptions of equality or numerical relations. How ridiculous then to look for these in the map of the heavens, in which the imperfection of matter comes in everywhere as a disturbing element, marring the symmetry of day and night, of months and years, of the sun and stars in their courses. Only by problems can we place astronomy on a truly scientific basis. Let the heavens alone, and exert the intellect.

Still, mathematics admit of other applications, as the Pythagoreans say, and we agree. There is a sister science of harmonical motion, adapted to the ear as astronomy is to the eye, and there may be other applications also. Let us inquire of the Pythagoreans about them, not forgetting that we have an aim higher than theirs, which is the relation of these sciences to the idea of good. The error which pervades astronomy also pervades harmonics. The musicians put their ears in the place of their minds. ‘Yes,’ replied Glaucon, ‘I like to see them laying their ears alongside of their neighbours’ faces—some saying, “That’s a new note,” others declaring that the two notes are the same.’ Yes, I said; but you mean the empirics who are always twisting and torturing the strings of the lyre, and quarrelling about the tempers of the strings; I am referring rather to the Pythagorean harmonists, who are almost equally in error. For they investigate only the numbers of the consonances which are heard, and ascend no higher,—of the true numerical harmony which is unheard, and is only to be found in problems, they have not even a conception. ‘That last,’ he said, ‘must be a marvellous thing.’ A thing, I replied, which is only useful if pursued with a view to the good.

All these sciences are the prelude of the strain, and are profitable if they are regarded in their natural relations to one another. ‘I dare say, Socrates,’ said Glaucon; ‘but such a study will be an endless business.’ What study do you mean—of the prelude, or what? For all these things are only the prelude, and you surely do not suppose that a mere mathematician is also a dialectician? ‘Certainly not. I have hardly ever known a mathematician who could reason.’ And yet, Glaucon, is not true reasoning that hymn of dialectic which is the music of the intellectual world, and which was by us compared to the effort of sight, when from beholding the shadows on the wall we arrived at last at the images which gave the shadows? Even so the dialectical faculty withdrawing from sense arrives by the pure intellect at the contemplation of the idea of good, and never rests but at the very end of the intellectual world. And the royal road out of the cave into the light, and the blinking of the eyes at the sun and turning to contemplate the shadows of reality, not the shadows of an image only—this progress and gradual acquisition of a new faculty of sight by the help of the mathematical sciences, is the elevation of the soul to the contemplation of the highest ideal of being.

‘So far, I agree with you. But now, leaving the prelude, let us proceed to the hymn. What, then, is the nature of dialectic, and what are the paths which lead thither?’ Dear Glaucon, you cannot follow me here. There can be no revelation of the absolute truth to one who has not been disciplined in the previous sciences. But that there is a science of absolute truth, which is attained in some way very different from those now practised, I am confident. For all other arts or sciences are relative to human needs and opinions; and the mathematical sciences are but a dream or hypothesis of true being, and never analyse their own principles. Dialectic alone rises to the principle which is above hypotheses, converting and gently leading the eye of the soul out of the barbarous slough of ignorance into the light of the upper world, with the help of the sciences which we have been describing—sciences, as they are often termed, although they require some other name, implying greater clearness than opinion and less clearness than science, and this in our previous sketch was understanding. And so we get four names—two for intellect, and two for opinion,—reason or mind, understanding, faith, perception of shadows—which make a proportion— being:becoming::intellect:opinion—and science:belief::understanding: perception of shadows. Dialectic may be further described as that science which defines and explains the essence or being of each nature, which distinguishes and abstracts the good, and is ready to do battle against all opponents in the cause of good. To him who is not a dialectician life is but a sleepy dream; and many a man is in his grave before his is well waked up. And would you have the future rulers of your ideal State intelligent beings, or stupid as posts? ‘Certainly not the latter.’ Then you must train them in dialectic, which will teach them to ask and answer questions, and is the coping-stone of the sciences.

I dare say that you have not forgotten how our rulers were chosen; and the process of selection may be carried a step further:—As before, they must be constant and valiant, good-looking, and of noble manners, but now they must also have natural ability which education will improve; that is to say, they must be quick at learning, capable of mental toil, retentive, solid, diligent natures, who combine intellectual with moral virtues; not lame and one-sided, diligent in bodily exercise and indolent in mind, or conversely; not a maimed soul, which hates falsehood and yet unintentionally is always wallowing in the mire of ignorance; not a bastard or feeble person, but sound in wind and limb, and in perfect condition for the great gymnastic trial of the mind. Justice herself can find no fault with natures such as these; and they will be the saviours of our State; disciples of another sort would only make philosophy more ridiculous than she is at present. Forgive my enthusiasm; I am becoming excited; but when I see her trampled underfoot, I am angry at the authors of her disgrace. ‘I did not notice that you were more excited than you ought to have been.’ But I felt that I was. Now do not let us forget another point in the selection of our disciples—that they must be young and not old. For Solon is mistaken in saying that an old man can be always learning; youth is the time of study, and here we must remember that the mind is free and dainty, and, unlike the body, must not be made to work against the grain. Learning should be at first a sort of play, in which the natural bent is detected. As in training them for war, the young dogs should at first only taste blood; but when the necessary gymnastics are over which during two or three years divide life between sleep and bodily exercise, then the education of the soul will become a more serious matter. At twenty years of age, a selection must be made of the more promising disciples, with whom a new epoch of education will begin. The sciences which they have hitherto learned in fragments will now be brought into relation with each other and with true being; for the power of combining them is the test of speculative and dialectical ability. And afterwards at thirty a further selection shall be made of those who are able to withdraw from the world of sense into the abstraction of ideas. But at this point, judging from present experience, there is a danger that dialectic may be the source of many evils. The danger may be illustrated by a parallel case:—Imagine a person who has been brought up in wealth and luxury amid a crowd of flatterers, and who is suddenly informed that he is a supposititious son. He has hitherto honoured his reputed parents and disregarded the flatterers, and now he does the reverse. This is just what happens with a man’s principles. There are certain doctrines which he learnt at home and which exercised a parental authority over him. Presently he finds that imputations are cast upon them; a troublesome querist comes and asks, ‘What is the just and good?’ or proves that virtue is vice and vice virtue, and his mind becomes unsettled, and he ceases to love, honour, and obey them as he has hitherto done. He is seduced into the life of pleasure, and becomes a lawless person and a rogue. The case of such speculators is very pitiable, and, in order that our thirty years’ old pupils may not require this pity, let us take every possible care that young persons do not study philosophy too early. For a young man is a sort of puppy who only plays with an argument; and is reasoned into and out of his opinions every day; he soon begins to believe nothing, and brings himself and philosophy into discredit. A man of thirty does not run on in this way; he will argue and not merely contradict, and adds new honour to philosophy by the sobriety of his conduct. What time shall we allow for this second gymnastic training of the soul?—say, twice the time required for the gymnastics of the body; six, or perhaps five years, to commence at thirty, and then for fifteen years let the student go down into the den, and command armies, and gain experience of life. At fifty let him return to the end of all things, and have his eyes uplifted to the idea of good, and order his life after that pattern; if necessary, taking his turn at the helm of State, and training up others to be his successors. When his time comes he shall depart in peace to the islands of the blest. He shall be honoured with sacrifices, and receive such worship as the Pythian oracle approves.

‘You are a statuary, Socrates, and have made a perfect image of our governors.’ Yes, and of our governesses, for the women will share in all things with the men. And you will admit that our State is not a mere aspiration, but may really come into being when there shall arise philosopher-kings, one or more, who will despise earthly vanities, and will be the servants of justice only. ‘And how will they begin their work?’ Their first act will be to send away into the country all those who are more than ten years of age, and to proceed with those who are left...

At the commencement of the sixth book, Plato anticipated his explanation of the relation of the philosopher to the world in an allegory, in this, as in other passages, following the order which he prescribes in education, and proceeding from the concrete to the abstract. At the commencement of Book VII, under the figure of a cave having an opening towards a fire and a way upwards to the true light, he returns to view the divisions of knowledge, exhibiting familiarly, as in a picture, the result which had been hardly won by a great effort of thought in the previous discussion; at the same time casting a glance onward at the dialectical process, which is represented by the way leading from darkness to light. The shadows, the images, the reflection of the sun and stars in the water, the stars and sun themselves, severally correspond,—the first, to the realm of fancy and poetry,—the second, to the world of sense,—the third, to the abstractions or universals of sense, of which the mathematical sciences furnish the type,—the fourth and last to the same abstractions, when seen in the unity of the idea, from which they derive a new meaning and power. The true dialectical process begins with the contemplation of the real stars, and not mere reflections of them, and ends with the recognition of the sun, or idea of good, as the parent not only of light but of warmth and growth. To the divisions of knowledge the stages of education partly answer:—first, there is the early education of childhood and youth in the fancies of the poets, and in the laws and customs of the State;—then there is the training of the body to be a warrior athlete, and a good servant of the mind;—and thirdly, after an interval follows the education of later life, which begins with mathematics and proceeds to philosophy in general.

There seem to be two great aims in the philosophy of Plato,—first, to realize abstractions; secondly, to connect them. According to him, the true education is that which draws men from becoming to being, and to a comprehensive survey of all being. He desires to develop in the human mind the faculty of seeing the universal in all things; until at last the particulars of sense drop away and the universal alone remains. He then seeks to combine the universals which he has disengaged from sense, not perceiving that the correlation of them has no other basis but the common use of language. He never understands that abstractions, as Hegel says, are ‘mere abstractions’—of use when employed in the arrangement of facts, but adding nothing to the sum of knowledge when pursued apart from them, or with reference to an imaginary idea of good. Still the exercise of the faculty of abstraction apart from facts has enlarged the mind, and played a great part in the education of the human race. Plato appreciated the value of this faculty, and saw that it might be quickened by the study of number and relation. All things in which there is opposition or proportion are suggestive of reflection. The mere impression of sense evokes no power of thought or of mind, but when sensible objects ask to be compared and distinguished, then philosophy begins. The science of arithmetic first suggests such distinctions. The follow in order the other sciences of plain and solid geometry, and of solids in motion, one branch of which is astronomy or the harmony of the spheres,—to this is appended the sister science of the harmony of sounds. Plato seems also to hint at the possibility of other applications of arithmetical or mathematical proportions, such as we employ in chemistry and natural philosophy, such as the Pythagoreans and even Aristotle make use of in Ethics and Politics, e.g. his distinction between arithmetical and geometrical proportion in the Ethics (Book V), or between numerical and proportional equality in the Politics.

The modern mathematician will readily sympathise with Plato’s delight in the properties of pure mathematics. He will not be disinclined to say with him:—Let alone the heavens, and study the beauties of number and figure in themselves. He too will be apt to depreciate their application to the arts. He will observe that Plato has a conception of geometry, in which figures are to be dispensed with; thus in a distant and shadowy way seeming to anticipate the possibility of working geometrical problems by a more general mode of analysis. He will remark with interest on the backward state of solid geometry, which, alas! was not encouraged by the aid of the State in the age of Plato; and he will recognize the grasp of Plato’s mind in his ability to conceive of one science of solids in motion including the earth as well as the heavens,—not forgetting to notice the intimation to which allusion has been already made, that besides astronomy and harmonics the science of solids in motion may have other applications. Still more will he be struck with the comprehensiveness of view which led Plato, at a time when these sciences hardly existed, to say that they must be studied in relation to one another, and to the idea of good, or common principle of truth and being. But he will also see (and perhaps without surprise) that in that stage of physical and mathematical knowledge, Plato has fallen into the error of supposing that he can construct the heavens a priori by mathematical problems, and determine the principles of harmony irrespective of the adaptation of sounds to the human ear. The illusion was a natural one in that age and country. The simplicity and certainty of astronomy and harmonics seemed to contrast with the variation and complexity of the world of sense; hence the circumstance that there was some elementary basis of fact, some measurement of distance or time or vibrations on which they must ultimately rest, was overlooked by him. The modern predecessors of Newton fell into errors equally great; and Plato can hardly be said to have been very far wrong, or may even claim a sort of prophetic insight into the subject, when we consider that the greater part of astronomy at the present day consists of abstract dynamics, by the help of which most astronomical discoveries have been made.

The metaphysical philosopher from his point of view recognizes mathematics as an instrument of education,—which strengthens the power of attention, developes the sense of order and the faculty of construction, and enables the mind to grasp under simple formulae the quantitative differences of physical phenomena. But while acknowledging their value in education, he sees also that they have no connexion with our higher moral and intellectual ideas. In the attempt which Plato makes to connect them, we easily trace the influences of ancient Pythagorean notions. There is no reason to suppose that he is speaking of the ideal numbers; but he is describing numbers which are pure abstractions, to which he assigns a real and separate existence, which, as ‘the teachers of the art’ (meaning probably the Pythagoreans) would have affirmed, repel all attempts at subdivision, and in which unity and every other number are conceived of as absolute. The truth and certainty of numbers, when thus disengaged from phenomena, gave them a kind of sacredness in the eyes of an ancient philosopher. Nor is it easy to say how far ideas of order and fixedness may have had a moral and elevating influence on the minds of men, ‘who,’ in the words of the Timaeus, ‘might learn to regulate their erring lives according to them.’ It is worthy of remark that the old Pythagorean ethical symbols still exist as figures of speech among ourselves. And those who in modern times see the world pervaded by universal law, may also see an anticipation of this last word of modern philosophy in the Platonic idea of good, which is the source and measure of all things, and yet only an abstraction (Philebus).

Two passages seem to require more particular explanations. First, that which relates to the analysis of vision. The difficulty in this passage may be explained, like many others, from differences in the modes of conception prevailing among ancient and modern thinkers. To us, the perceptions of sense are inseparable from the act of the mind which accompanies them. The consciousness of form, colour, distance, is indistinguishable from the simple sensation, which is the medium of them. Whereas to Plato sense is the Heraclitean flux of sense, not the vision of objects in the order in which they actually present themselves to the experienced sight, but as they may be imagined to appear confused and blurred to the half-awakened eye of the infant. The first action of the mind is aroused by the attempt to set in order this chaos, and the reason is required to frame distinct conceptions under which the confused impressions of sense may be arranged. Hence arises the question, ‘What is great, what is small?’ and thus begins the distinction of the visible and the intelligible.

The second difficulty relates to Plato’s conception of harmonics. Three classes of harmonists are distinguished by him:—first, the Pythagoreans, whom he proposes to consult as in the previous discussion on music he was to consult Damon—they are acknowledged to be masters in the art, but are altogether deficient in the knowledge of its higher import and relation to the good; secondly, the mere empirics, whom Glaucon appears to confuse with them, and whom both he and Socrates ludicrously describe as experimenting by mere auscultation on the intervals of sounds. Both of these fall short in different degrees of the Platonic idea of harmony, which must be studied in a purely abstract way, first by the method of problems, and secondly as a part of universal knowledge in relation to the idea of good.

The allegory has a political as well as a philosophical meaning. The den or cave represents the narrow sphere of politics or law (compare the description of the philosopher and lawyer in the Theaetetus), and the light of the eternal ideas is supposed to exercise a disturbing influence on the minds of those who return to this lower world. In other words, their principles are too wide for practical application; they are looking far away into the past and future, when their business is with the present. The ideal is not easily reduced to the conditions of actual life, and may often be at variance with them. And at first, those who return are unable to compete with the inhabitants of the den in the measurement of the shadows, and are derided and persecuted by them; but after a while they see the things below in far truer proportions than those who have never ascended into the upper world. The difference between the politician turned into a philosopher and the philosopher turned into a politician, is symbolized by the two kinds of disordered eyesight, the one which is experienced by the captive who is transferred from darkness to day, the other, of the heavenly messenger who voluntarily for the good of his fellow-men descends into the den. In what way the brighter light is to dawn on the inhabitants of the lower world, or how the idea of good is to become the guiding principle of politics, is left unexplained by Plato. Like the nature and divisions of dialectic, of which Glaucon impatiently demands to be informed, perhaps he would have said that the explanation could not be given except to a disciple of the previous sciences. (Symposium.)

Many illustrations of this part of the Republic may be found in modern Politics and in daily life. For among ourselves, too, there have been two sorts of Politicians or Statesmen, whose eyesight has become disordered in two different ways. First, there have been great men who, in the language of Burke, ‘have been too much given to general maxims,’ who, like J.S. Mill or Burke himself, have been theorists or philosophers before they were politicians, or who, having been students of history, have allowed some great historical parallel, such as the English Revolution of 1688, or possibly Athenian democracy or Roman Imperialism, to be the medium through which they viewed contemporary events. Or perhaps the long projecting shadow of some existing institution may have darkened their vision. The Church of the future, the Commonwealth of the future, the Society of the future, have so absorbed their minds, that they are unable to see in their true proportions the Politics of to-day. They have been intoxicated with great ideas, such as liberty, or equality, or the greatest happiness of the greatest number, or the brotherhood of humanity, and they no longer care to consider how these ideas must be limited in practice or harmonized with the conditions of human life. They are full of light, but the light to them has become only a sort of luminous mist or blindness. Almost every one has known some enthusiastic half-educated person, who sees everything at false distances, and in erroneous proportions.

With this disorder of eyesight may be contrasted another—of those who see not far into the distance, but what is near only; who have been engaged all their lives in a trade or a profession; who are limited to a set or sect of their own. Men of this kind have no universal except their own interests or the interests of their class, no principle but the opinion of persons like themselves, no knowledge of affairs beyond what they pick up in the streets or at their club. Suppose them to be sent into a larger world, to undertake some higher calling, from being tradesmen to turn generals or politicians, from being schoolmasters to become philosophers:—or imagine them on a sudden to receive an inward light which reveals to them for the first time in their lives a higher idea of God and the existence of a spiritual world, by this sudden conversion or change is not their daily life likely to be upset; and on the other hand will not many of their old prejudices and narrownesses still adhere to them long after they have begun to take a more comprehensive view of human things? From familiar examples like these we may learn what Plato meant by the eyesight which is liable to two kinds of disorders.

Nor have we any difficulty in drawing a parallel between the young Athenian in the fifth century before Christ who became unsettled by new ideas, and the student of a modern University who has been the subject of a similar ‘aufklärung.’ We too observe that when young men begin to criticise customary beliefs, or to analyse the constitution of human nature, they are apt to lose hold of solid principle (ἅπαν τὸ βέβαιον αὐτῶν ἐξοίχεται). They are like trees which have been frequently transplanted. The earth about them is loose, and they have no roots reaching far into the soil. They ‘light upon every flower,’ following their own wayward wills, or because the wind blows them. They catch opinions, as diseases are caught—when they are in the air. Borne hither and thither, ‘they speedily fall into beliefs’ the opposite of those in which they were brought up. They hardly retain the distinction of right and wrong; they seem to think one thing as good as another. They suppose themselves to be searching after truth when they are playing the game of ‘follow my leader.’ They fall in love ‘at first sight’ with paradoxes respecting morality, some fancy about art, some novelty or eccentricity in religion, and like lovers they are so absorbed for a time in their new notion that they can think of nothing else. The resolution of some philosophical or theological question seems to them more interesting and important than any substantial knowledge of literature or science or even than a good life. Like the youth in the Philebus, they are ready to discourse to any one about a new philosophy. They are generally the disciples of some eminent professor or sophist, whom they rather imitate than understand. They may be counted happy if in later years they retain some of the simple truths which they acquired in early education, and which they may, perhaps, find to be worth all the rest. Such is the picture which Plato draws and which we only reproduce, partly in his own words, of the dangers which beset youth in times of transition, when old opinions are fading away and the new are not yet firmly established. Their condition is ingeniously compared by him to that of a supposititious son, who has made the discovery that his reputed parents are not his real ones, and, in consequence, they have lost their authority over him.

The distinction between the mathematician and the dialectician is also noticeable. Plato is very well aware that the faculty of the mathematician is quite distinct from the higher philosophical sense which recognizes and combines first principles. The contempt which he expresses for distinctions of words, the danger of involuntary falsehood, the apology which Socrates makes for his earnestness of speech, are highly characteristic of the Platonic style and mode of thought. The quaint notion that if Palamedes was the inventor of number Agamemnon could not have counted his feet; the art by which we are made to believe that this State of ours is not a dream only; the gravity with which the first step is taken in the actual creation of the State, namely, the sending out of the city all who had arrived at ten years of age, in order to expedite the business of education by a generation, are also truly Platonic. (For the last, compare the passage at the end of the third book, in which he expects the lie about the earthborn men to be believed in the second generation.)

BOOK VIII. And so we have arrived at the conclusion, that in the perfect State wives and children are to be in common; and the education and pursuits of men and women, both in war and peace, are to be common, and kings are to be philosophers and warriors, and the soldiers of the State are to live together, having all things in common; and they are to be warrior athletes, receiving no pay but only their food, from the other citizens. Now let us return to the point at which we digressed. ‘That is easily done,’ he replied: ‘You were speaking of the State which you had constructed, and of the individual who answered to this, both of whom you affirmed to be good; and you said that of inferior States there were four forms and four individuals corresponding to them, which although deficient in various degrees, were all of them worth inspecting with a view to determining the relative happiness or misery of the best or worst man. Then Polemarchus and Adeimantus interrupted you, and this led to another argument,—and so here we are.’ Suppose that we put ourselves again in the same position, and do you repeat your question. ‘I should like to know of what constitutions you were speaking?’ Besides the perfect State there are only four of any note in Hellas:—first, the famous Lacedaemonian or Cretan commonwealth; secondly, oligarchy, a State full of evils; thirdly, democracy, which follows next in order; fourthly, tyranny, which is the disease or death of all government. Now, States are not made of ‘oak and rock,’ but of flesh and blood; and therefore as there are five States there must be five human natures in individuals, which correspond to them. And first, there is the ambitious nature, which answers to the Lacedaemonian State; secondly, the oligarchical nature; thirdly, the democratical; and fourthly, the tyrannical. This last will have to be compared with the perfectly just, which is the fifth, that we may know which is the happier, and then we shall be able to determine whether the argument of Thrasymachus or our own is the more convincing. And as before we began with the State and went on to the individual, so now, beginning with timocracy, let us go on to the timocratical man, and then proceed to the other forms of government, and the individuals who answer to them.

But how did timocracy arise out of the perfect State? Plainly, like all changes of government, from division in the rulers. But whence came division? ‘Sing, heavenly Muses,’ as Homer says;—let them condescend to answer us, as if we were children, to whom they put on a solemn face in jest. ‘And what will they say?’ They will say that human things are fated to decay, and even the perfect State will not escape from this law of destiny, when ‘the wheel comes full circle’ in a period short or long. Plants or animals have times of fertility and sterility, which the intelligence of rulers because alloyed by sense will not enable them to ascertain, and children will be born out of season. For whereas divine creations are in a perfect cycle or number, the human creation is in a number which declines from perfection, and has four terms and three intervals of numbers, increasing, waning, assimilating, dissimilating, and yet perfectly commensurate with each other. The base of the number with a fourth added (or which is 3:4), multiplied by five and cubed, gives two harmonies:—the first a square number, which is a hundred times the base (or a hundred times a hundred); the second, an oblong, being a hundred squares of the rational diameter of a figure the side of which is five, subtracting one from each square or two perfect squares from all, and adding a hundred cubes of three. This entire number is geometrical and contains the rule or law of generation. When this law is neglected marriages will be unpropitious; the inferior offspring who are then born will in time become the rulers; the State will decline, and education fall into decay; gymnastic will be preferred to music, and the gold and silver and brass and iron will form a chaotic mass—thus division will arise. Such is the Muses’ answer to our question. ‘And a true answer, of course:—but what more have they to say?’ They say that the two races, the iron and brass, and the silver and gold, will draw the State different ways;—the one will take to trade and moneymaking, and the others, having the true riches and not caring for money, will resist them: the contest will end in a compromise; they will agree to have private property, and will enslave their fellow-citizens who were once their friends and nurturers. But they will retain their warlike character, and will be chiefly occupied in fighting and exercising rule. Thus arises timocracy, which is intermediate between aristocracy and oligarchy.

The new form of government resembles the ideal in obedience to rulers and contempt for trade, and having common meals, and in devotion to warlike and gymnastic exercises. But corruption has crept into philosophy, and simplicity of character, which was once her note, is now looked for only in the military class. Arts of war begin to prevail over arts of peace; the ruler is no longer a philosopher; as in oligarchies, there springs up among them an extravagant love of gain—get another man’s and save your own, is their principle; and they have dark places in which they hoard their gold and silver, for the use of their women and others; they take their pleasures by stealth, like boys who are running away from their father—the law; and their education is not inspired by the Muse, but imposed by the strong arm of power. The leading characteristic of this State is party spirit and ambition.

And what manner of man answers to such a State? ‘In love of contention,’ replied Adeimantus, ‘he will be like our friend Glaucon.’ In that respect, perhaps, but not in others. He is self-asserting and ill-educated, yet fond of literature, although not himself a speaker,—fierce with slaves, but obedient to rulers, a lover of power and honour, which he hopes to gain by deeds of arms,—fond, too, of gymnastics and of hunting. As he advances in years he grows avaricious, for he has lost philosophy, which is the only saviour and guardian of men. His origin is as follows:—His father is a good man dwelling in an ill-ordered State, who has retired from politics in order that he may lead a quiet life. His mother is angry at her loss of precedence among other women; she is disgusted at her husband’s selfishness, and she expatiates to her son on the unmanliness and indolence of his father. The old family servant takes up the tale, and says to the youth:—‘When you grow up you must be more of a man than your father.’ All the world are agreed that he who minds his own business is an idiot, while a busybody is highly honoured and esteemed. The young man compares this spirit with his father’s words and ways, and as he is naturally well disposed, although he has suffered from evil influences, he rests at a middle point and becomes ambitious and a lover of honour.

And now let us set another city over against another man. The next form of government is oligarchy, in which the rule is of the rich only; nor is it difficult to see how such a State arises. The decline begins with the possession of gold and silver; illegal modes of expenditure are invented; one draws another on, and the multitude are infected; riches outweigh virtue; lovers of money take the place of lovers of honour; misers of politicians; and, in time, political privileges are confined by law to the rich, who do not shrink from violence in order to effect their purposes.

Thus much of the origin,—let us next consider the evils of oligarchy. Would a man who wanted to be safe on a voyage take a bad pilot because he was rich, or refuse a good one because he was poor? And does not the analogy apply still more to the State? And there are yet greater evils: two nations are struggling together in one—the rich and the poor; and the rich dare not put arms into the hands of the poor, and are unwilling to pay for defenders out of their own money. And have we not already condemned that State in which the same persons are warriors as well as shopkeepers? The greatest evil of all is that a man may sell his property and have no place in the State; while there is one class which has enormous wealth, the other is entirely destitute. But observe that these destitutes had not really any more of the governing nature in them when they were rich than now that they are poor; they were miserable spendthrifts always. They are the drones of the hive; only whereas the actual drone is unprovided by nature with a sting, the two-legged things whom we call drones are some of them without stings and some of them have dreadful stings; in other words, there are paupers and there are rogues. These are never far apart; and in oligarchical cities, where nearly everybody is a pauper who is not a ruler, you will find abundance of both. And this evil state of society originates in bad education and bad government.

Like State, like man,—the change in the latter begins with the representative of timocracy; he walks at first in the ways of his father, who may have been a statesman, or general, perhaps; and presently he sees him ‘fallen from his high estate,’ the victim of informers, dying in prison or exile, or by the hand of the executioner. The lesson which he thus receives, makes him cautious; he leaves politics, represses his pride, and saves pence. Avarice is enthroned as his bosom’s lord, and assumes the style of the Great King; the rational and spirited elements sit humbly on the ground at either side, the one immersed in calculation, the other absorbed in the admiration of wealth. The love of honour turns to love of money; the conversion is instantaneous. The man is mean, saving, toiling, the slave of one passion which is the master of the rest: Is he not the very image of the State? He has had no education, or he would never have allowed the blind god of riches to lead the dance within him. And being uneducated he will have many slavish desires, some beggarly, some knavish, breeding in his soul. If he is the trustee of an orphan, and has the power to defraud, he will soon prove that he is not without the will, and that his passions are only restrained by fear and not by reason. Hence he leads a divided existence; in which the better desires mostly prevail. But when he is contending for prizes and other distinctions, he is afraid to incur a loss which is to be repaid only by barren honour; in time of war he fights with a small part of his resources, and usually keeps his money and loses the victory.

Next comes democracy and the democratic man, out of oligarchy and the oligarchical man. Insatiable avarice is the ruling passion of an oligarchy; and they encourage expensive habits in order that they may gain by the ruin of extravagant youth. Thus men of family often lose their property or rights of citizenship; but they remain in the city, full of hatred against the new owners of their estates and ripe for revolution. The usurer with stooping walk pretends not to see them; he passes by, and leaves his sting—that is, his money—in some other victim; and many a man has to pay the parent or principal sum multiplied into a family of children, and is reduced into a state of dronage by him. The only way of diminishing the evil is either to limit a man in his use of his property, or to insist that he shall lend at his own risk. But the ruling class do not want remedies; they care only for money, and are as careless of virtue as the poorest of the citizens. Now there are occasions on which the governors and the governed meet together,—at festivals, on a journey, voyaging or fighting. The sturdy pauper finds that in the hour of danger he is not despised; he sees the rich man puffing and panting, and draws the conclusion which he privately imparts to his companions,—‘that our people are not good for much;’ and as a sickly frame is made ill by a mere touch from without, or sometimes without external impulse is ready to fall to pieces of itself, so from the least cause, or with none at all, the city falls ill and fights a battle for life or death. And democracy comes into power when the poor are the victors, killing some and exiling some, and giving equal shares in the government to all the rest.

The manner of life in such a State is that of democrats; there is freedom and plainness of speech, and every man does what is right in his own eyes, and has his own way of life. Hence arise the most various developments of character; the State is like a piece of embroidery of which the colours and figures are the manners of men, and there are many who, like women and children, prefer this variety to real beauty and excellence. The State is not one but many, like a bazaar at which you can buy anything. The great charm is, that you may do as you like; you may govern if you like, let it alone if you like; go to war and make peace if you feel disposed, and all quite irrespective of anybody else. When you condemn men to death they remain alive all the same; a gentleman is desired to go into exile, and he stalks about the streets like a hero; and nobody sees him or cares for him. Observe, too, how grandly Democracy sets her foot upon all our fine theories of education,—how little she cares for the training of her statesmen! The only qualification which she demands is the profession of patriotism. Such is democracy;—a pleasing, lawless, various sort of government, distributing equality to equals and unequals alike.

Let us now inspect the individual democrat; and first, as in the case of the State, we will trace his antecedents. He is the son of a miserly oligarch, and has been taught by him to restrain the love of unnecessary pleasures. Perhaps I ought to explain this latter term:—Necessary pleasures are those which are good, and which we cannot do without; unnecessary pleasures are those which do no good, and of which the desire might be eradicated by early training. For example, the pleasures of eating and drinking are necessary and healthy, up to a certain point; beyond that point they are alike hurtful to body and mind, and the excess may be avoided. When in excess, they may be rightly called expensive pleasures, in opposition to the useful ones. And the drone, as we called him, is the slave of these unnecessary pleasures and desires, whereas the miserly oligarch is subject only to the necessary.

The oligarch changes into the democrat in the following manner:—The youth who has had a miserly bringing up, gets a taste of the drone’s honey; he meets with wild companions, who introduce him to every new pleasure. As in the State, so in the individual, there are allies on both sides, temptations from without and passions from within; there is reason also and external influences of parents and friends in alliance with the oligarchical principle; and the two factions are in violent conflict with one another. Sometimes the party of order prevails, but then again new desires and new disorders arise, and the whole mob of passions gets possession of the Acropolis, that is to say, the soul, which they find void and unguarded by true words and works. Falsehoods and illusions ascend to take their place; the prodigal goes back into the country of the Lotophagi or drones, and openly dwells there. And if any offer of alliance or parley of individual elders comes from home, the false spirits shut the gates of the castle and permit no one to enter,—there is a battle, and they gain the victory; and straightway making alliance with the desires, they banish modesty, which they call folly, and send temperance over the border. When the house has been swept and garnished, they dress up the exiled vices, and, crowning them with garlands, bring them back under new names. Insolence they call good breeding, anarchy freedom, waste magnificence, impudence courage. Such is the process by which the youth passes from the necessary pleasures to the unnecessary. After a while he divides his time impartially between them; and perhaps, when he gets older and the violence of passion has abated, he restores some of the exiles and lives in a sort of equilibrium, indulging first one pleasure and then another; and if reason comes and tells him that some pleasures are good and honourable, and others bad and vile, he shakes his head and says that he can make no distinction between them. Thus he lives in the fancy of the hour; sometimes he takes to drink, and then he turns abstainer; he practises in the gymnasium or he does nothing at all; then again he would be a philosopher or a politician; or again, he would be a warrior or a man of business; he is

‘Every thing by starts and nothing long.’

There remains still the finest and fairest of all men and all States—tyranny and the tyrant. Tyranny springs from democracy much as democracy springs from oligarchy. Both arise from excess; the one from excess of wealth, the other from excess of freedom. ‘The great natural good of life,’ says the democrat, ‘is freedom.’ And this exclusive love of freedom and regardlessness of everything else, is the cause of the change from democracy to tyranny. The State demands the strong wine of freedom, and unless her rulers give her a plentiful draught, punishes and insults them; equality and fraternity of governors and governed is the approved principle. Anarchy is the law, not of the State only, but of private houses, and extends even to the animals. Father and son, citizen and foreigner, teacher and pupil, old and young, are all on a level; fathers and teachers fear their sons and pupils, and the wisdom of the young man is a match for the elder, and the old imitate the jaunty manners of the young because they are afraid of being thought morose. Slaves are on a level with their masters and mistresses, and there is no difference between men and women. Nay, the very animals in a democratic State have a freedom which is unknown in other places. The she-dogs are as good as their she-mistresses, and horses and asses march along with dignity and run their noses against anybody who comes in their way. ‘That has often been my experience.’ At last the citizens become so sensitive that they cannot endure the yoke of laws, written or unwritten; they would have no man call himself their master. Such is the glorious beginning of things out of which tyranny springs. ‘Glorious, indeed; but what is to follow?’ The ruin of oligarchy is the ruin of democracy; for there is a law of contraries; the excess of freedom passes into the excess of slavery, and the greater the freedom the greater the slavery. You will remember that in the oligarchy were found two classes—rogues and paupers, whom we compared to drones with and without stings. These two classes are to the State what phlegm and bile are to the human body; and the State-physician, or legislator, must get rid of them, just as the bee-master keeps the drones out of the hive. Now in a democracy, too, there are drones, but they are more numerous and more dangerous than in the oligarchy; there they are inert and unpractised, here they are full of life and animation; and the keener sort speak and act, while the others buzz about the bema and prevent their opponents from being heard. And there is another class in democratic States, of respectable, thriving individuals, who can be squeezed when the drones have need of their possessions; there is moreover a third class, who are the labourers and the artisans, and they make up the mass of the people. When the people meet, they are omnipotent, but they cannot be brought together unless they are attracted by a little honey; and the rich are made to supply the honey, of which the demagogues keep the greater part themselves, giving a taste only to the mob. Their victims attempt to resist; they are driven mad by the stings of the drones, and so become downright oligarchs in self-defence. Then follow informations and convictions for treason. The people have some protector whom they nurse into greatness, and from this root the tree of tyranny springs. The nature of the change is indicated in the old fable of the temple of Zeus Lycaeus, which tells how he who tastes human flesh mixed up with the flesh of other victims will turn into a wolf. Even so the protector, who tastes human blood, and slays some and exiles others with or without law, who hints at abolition of debts and division of lands, must either perish or become a wolf—that is, a tyrant. Perhaps he is driven out, but he soon comes back from exile; and then if his enemies cannot get rid of him by lawful means, they plot his assassination. Thereupon the friend of the people makes his well-known request to them for a body-guard, which they readily grant, thinking only of his danger and not of their own. Now let the rich man make to himself wings, for he will never run away again if he does not do so then. And the Great Protector, having crushed all his rivals, stands proudly erect in the chariot of State, a full-blown tyrant: Let us enquire into the nature of his happiness.

In the early days of his tyranny he smiles and beams upon everybody; he is not a ‘dominus,’ no, not he: he has only come to put an end to debt and the monopoly of land. Having got rid of foreign enemies, he makes himself necessary to the State by always going to war. He is thus enabled to depress the poor by heavy taxes, and so keep them at work; and he can get rid of bolder spirits by handing them over to the enemy. Then comes unpopularity; some of his old associates have the courage to oppose him. The consequence is, that he has to make a purgation of the State; but, unlike the physician who purges away the bad, he must get rid of the high-spirited, the wise and the wealthy; for he has no choice between death and a life of shame and dishonour. And the more hated he is, the more he will require trusty guards; but how will he obtain them? ‘They will come flocking like birds—for pay.’ Will he not rather obtain them on the spot? He will take the slaves from their owners and make them his body-guard; these are his trusted friends, who admire and look up to him. Are not the tragic poets wise who magnify and exalt the tyrant, and say that he is wise by association with the wise? And are not their praises of tyranny alone a sufficient reason why we should exclude them from our State? They may go to other cities, and gather the mob about them with fine words, and change commonwealths into tyrannies and democracies, receiving honours and rewards for their services; but the higher they and their friends ascend constitution hill, the more their honour will fail and become ‘too asthmatic to mount.’ To return to the tyrant—How will he support that rare army of his? First, by robbing the temples of their treasures, which will enable him to lighten the taxes; then he will take all his father’s property, and spend it on his companions, male or female. Now his father is the demus, and if the demus gets angry, and says that a great hulking son ought not to be a burden on his parents, and bids him and his riotous crew begone, then will the parent know what a monster he has been nurturing, and that the son whom he would fain expel is too strong for him. ‘You do not mean to say that he will beat his father?’ Yes, he will, after having taken away his arms. ‘Then he is a parricide and a cruel, unnatural son.’ And the people have jumped from the fear of slavery into slavery, out of the smoke into the fire. Thus liberty, when out of all order and reason, passes into the worst form of servitude...

In the previous books Plato has described the ideal State; now he returns to the perverted or declining forms, on which he had lightly touched at the end of Book IV. These he describes in a succession of parallels between the individuals and the States, tracing the origin of either in the State or individual which has preceded them. He begins by asking the point at which he digressed; and is thus led shortly to recapitulate the substance of the three former books, which also contain a parallel of the philosopher and the State.

Of the first decline he gives no intelligible account; he would not have liked to admit the most probable causes of the fall of his ideal State, which to us would appear to be the impracticability of communism or the natural antagonism of the ruling and subject classes. He throws a veil of mystery over the origin of the decline, which he attributes to ignorance of the law of population. Of this law the famous geometrical figure or number is the expression. Like the ancients in general, he had no idea of the gradual perfectibility of man or of the education of the human race. His ideal was not to be attained in the course of ages, but was to spring in full armour from the head of the legislator. When good laws had been given, he thought only of the manner in which they were likely to be corrupted, or of how they might be filled up in detail or restored in accordance with their original spirit. He appears not to have reflected upon the full meaning of his own words, ‘In the brief space of human life, nothing great can be accomplished’; or again, as he afterwards says in the Laws, ‘Infinite time is the maker of cities.’ The order of constitutions which is adopted by him represents an order of thought rather than a succession of time, and may be considered as the first attempt to frame a philosophy of history.

The first of these declining States is timocracy, or the government of soldiers and lovers of honour, which answers to the Spartan State; this is a government of force, in which education is not inspired by the Muses, but imposed by the law, and in which all the finer elements of organization have disappeared. The philosopher himself has lost the love of truth, and the soldier, who is of a simpler and honester nature, rules in his stead. The individual who answers to timocracy has some noticeable qualities. He is described as ill educated, but, like the Spartan, a lover of literature; and although he is a harsh master to his servants he has no natural superiority over them. His character is based upon a reaction against the circumstances of his father, who in a troubled city has retired from politics; and his mother, who is dissatisfied at her own position, is always urging him towards the life of political ambition. Such a character may have had this origin, and indeed Livy attributes the Licinian laws to a feminine jealousy of a similar kind. But there is obviously no connection between the manner in which the timocratic State springs out of the ideal, and the mere accident by which the timocratic man is the son of a retired statesman.

The two next stages in the decline of constitutions have even less historical foundation. For there is no trace in Greek history of a polity like the Spartan or Cretan passing into an oligarchy of wealth, or of the oligarchy of wealth passing into a democracy. The order of history appears to be different; first, in the Homeric times there is the royal or patriarchal form of government, which a century or two later was succeeded by an oligarchy of birth rather than of wealth, and in which wealth was only the accident of the hereditary possession of land and power. Sometimes this oligarchical government gave way to a government based upon a qualification of property, which, according to Aristotle’s mode of using words, would have been called a timocracy; and this in some cities, as at Athens, became the conducting medium to democracy. But such was not the necessary order of succession in States; nor, indeed, can any order be discerned in the endless fluctuation of Greek history (like the tides in the Euripus), except, perhaps, in the almost uniform tendency from monarchy to aristocracy in the earliest times. At first sight there appears to be a similar inversion in the last step of the Platonic succession; for tyranny, instead of being the natural end of democracy, in early Greek history appears rather as a stage leading to democracy; the reign of Peisistratus and his sons is an episode which comes between the legislation of Solon and the constitution of Cleisthenes; and some secret cause common to them all seems to have led the greater part of Hellas at her first appearance in the dawn of history, e.g. Athens, Argos, Corinth, Sicyon, and nearly every State with the exception of Sparta, through a similar stage of tyranny which ended either in oligarchy or democracy. But then we must remember that Plato is describing rather the contemporary governments of the Sicilian States, which alternated between democracy and tyranny, than the ancient history of Athens or Corinth.

The portrait of the tyrant himself is just such as the later Greek delighted to draw of Phalaris and Dionysius, in which, as in the lives of mediaeval saints or mythic heroes, the conduct and actions of one were attributed to another in order to fill up the outline. There was no enormity which the Greek was not today to believe of them; the tyrant was the negation of government and law; his assassination was glorious; there was no crime, however unnatural, which might not with probability be attributed to him. In this, Plato was only following the common thought of his countrymen, which he embellished and exaggerated with all the power of his genius. There is no need to suppose that he drew from life; or that his knowledge of tyrants is derived from a personal acquaintance with Dionysius. The manner in which he speaks of them would rather tend to render doubtful his ever having ‘consorted’ with them, or entertained the schemes, which are attributed to him in the Epistles, of regenerating Sicily by their help.

Plato in a hyperbolical and serio-comic vein exaggerates the follies of democracy which he also sees reflected in social life. To him democracy is a state of individualism or dissolution; in which every one is doing what is right in his own eyes. Of a people animated by a common spirit of liberty, rising as one man to repel the Persian host, which is the leading idea of democracy in Herodotus and Thucydides, he never seems to think. But if he is not a believer in liberty, still less is he a lover of tyranny. His deeper and more serious condemnation is reserved for the tyrant, who is the ideal of wickedness and also of weakness, and who in his utter helplessness and suspiciousness is leading an almost impossible existence, without that remnant of good which, in Plato’s opinion, was required to give power to evil (Book I). This ideal of wickedness living in helpless misery, is the reverse of that other portrait of perfect injustice ruling in happiness and splendour, which first of all Thrasymachus, and afterwards the sons of Ariston had drawn, and is also the reverse of the king whose rule of life is the good of his subjects.

Each of these governments and individuals has a corresponding ethical gradation: the ideal State is under the rule of reason, not extinguishing but harmonizing the passions, and training them in virtue; in the timocracy and the timocratic man the constitution, whether of the State or of the individual, is based, first, upon courage, and secondly, upon the love of honour; this latter virtue, which is hardly to be esteemed a virtue, has superseded all the rest. In the second stage of decline the virtues have altogether disappeared, and the love of gain has succeeded to them; in the third stage, or democracy, the various passions are allowed to have free play, and the virtues and vices are impartially cultivated. But this freedom, which leads to many curious extravagances of character, is in reality only a state of weakness and dissipation. At last, one monster passion takes possession of the whole nature of man—this is tyranny. In all of them excess—the excess first of wealth and then of freedom, is the element of decay.

The eighth book of the Republic abounds in pictures of life and fanciful allusions; the use of metaphorical language is carried to a greater extent than anywhere else in Plato. We may remark,

(1), the description of the two nations in one, which become more and more divided in the Greek Republics, as in feudal times, and perhaps also in our own;

(2), the notion of democracy expressed in a sort of Pythagorean formula as equality among unequals;

(3), the free and easy ways of men and animals, which are characteristic of liberty, as foreign mercenaries and universal mistrust are of the tyrant;

(4), the proposal that mere debts should not be recoverable by law is a speculation which has often been entertained by reformers of the law in modern times, and is in harmony with the tendencies of modern legislation. Debt and land were the two great difficulties of the ancient lawgiver: in modern times we may be said to have almost, if not quite, solved the first of these difficulties, but hardly the second.

Still more remarkable are the corresponding portraits of individuals: there is the family picture of the father and mother and the old servant of the timocratical man, and the outward respectability and inherent meanness of the oligarchical; the uncontrolled licence and freedom of the democrat, in which the young Alcibiades seems to be depicted, doing right or wrong as he pleases, and who at last, like the prodigal, goes into a far country (note here the play of language by which the democratic man is himself represented under the image of a State having a citadel and receiving embassies); and there is the wild-beast nature, which breaks loose in his successor. The hit about the tyrant being a parricide; the representation of the tyrant’s life as an obscene dream; the rhetorical surprise of a more miserable than the most miserable of men in Book IX; the hint to the poets that if they are the friends of tyrants there is no place for them in a constitutional State, and that they are too clever not to see the propriety of their own expulsion; the continuous image of the drones who are of two kinds, swelling at last into the monster drone having wings (Book IX),—are among Plato’s happiest touches.

There remains to be considered the great difficulty of this book of the Republic, the so-called number of the State. This is a puzzle almost as great as the Number of the Beast in the Book of Revelation, and though apparently known to Aristotle, is referred to by Cicero as a proverb of obscurity (Ep. ad Att.). And some have imagined that there is no answer to the puzzle, and that Plato has been practising upon his readers. But such a deception as this is inconsistent with the manner in which Aristotle speaks of the number (Pol.), and would have been ridiculous to any reader of the Republic who was acquainted with Greek mathematics. As little reason is there for supposing that Plato intentionally used obscure expressions; the obscurity arises from our want of familiarity with the subject. On the other hand, Plato himself indicates that he is not altogether serious, and in describing his number as a solemn jest of the Muses, he appears to imply some degree of satire on the symbolical use of number. (Compare Cratylus; Protag.)

Our hope of understanding the passage depends principally on an accurate study of the words themselves; on which a faint light is thrown by the parallel passage in the ninth book. Another help is the allusion in Aristotle, who makes the important remark that the latter part of the passage (Greek) describes a solid figure. (Pol.—‘He only says that nothing is abiding, but that all things change in a certain cycle; and that the origin of the change is a base of numbers which are in the ratio of 4:3; and this when combined with a figure of five gives two harmonies; he means when the number of this figure becomes solid.’) Some further clue may be gathered from the appearance of the Pythagorean triangle, which is denoted by the numbers 3, 4, 5, and in which, as in every right-angled triangle, the squares of the two lesser sides equal the square of the hypotenuse (9 + 16 = 25).

Plato begins by speaking of a perfect or cyclical number (Tim.), i.e. a number in which the sum of the divisors equals the whole; this is the divine or perfect number in which all lesser cycles or revolutions are complete. He also speaks of a human or imperfect number, having four terms and three intervals of numbers which are related to one another in certain proportions; these he converts into figures, and finds in them when they have been raised to the third power certain elements of number, which give two ‘harmonies,’ the one square, the other oblong; but he does not say that the square number answers to the divine, or the oblong number to the human cycle; nor is any intimation given that the first or divine number represents the period of the world, the second the period of the state, or of the human race as Zeller supposes; nor is the divine number afterwards mentioned (Arist.). The second is the number of generations or births, and presides over them in the same mysterious manner in which the stars preside over them, or in which, according to the Pythagoreans, opportunity, justice, marriage, are represented by some number or figure. This is probably the number 216.

The explanation given in the text supposes the two harmonies to make up the number 8000. This explanation derives a certain plausibility from the circumstance that 8000 is the ancient number of the Spartan citizens (Herod.), and would be what Plato might have called ‘a number which nearly concerns the population of a city’; the mysterious disappearance of the Spartan population may possibly have suggested to him the first cause of his decline of States. The lesser or square ‘harmony,’ of 400, might be a symbol of the guardians,—the larger or oblong ‘harmony,’ of the people, and the numbers 3, 4, 5 might refer respectively to the three orders in the State or parts of the soul, the four virtues, the five forms of government. The harmony of the musical scale, which is elsewhere used as a symbol of the harmony of the state, is also indicated. For the numbers 3, 4, 5, which represent the sides of the Pythagorean triangle, also denote the intervals of the scale.

The terms used in the statement of the problem may be explained as follows. A perfect number (Greek), as already stated, is one which is equal to the sum of its divisors. Thus 6, which is the first perfect or cyclical number, = 1 + 2 + 3. The words (Greek), ‘terms’ or ‘notes,’ and (Greek), ‘intervals,’ are applicable to music as well as to number and figure. (Greek) is the ‘base’ on which the whole calculation depends, or the ‘lowest term’ from which it can be worked out. The words (Greek) have been variously translated—‘squared and cubed’ (Donaldson), ‘equalling and equalled in power’ (Weber), ‘by involution and evolution,’ i.e. by raising the power and extracting the root (as in the translation). Numbers are called ‘like and unlike’ (Greek) when the factors or the sides of the planes and cubes which they represent are or are not in the same ratio: e.g. 8 and 27 = 2 cubed and 3 cubed; and conversely. ‘Waxing’ (Greek) numbers, called also ‘increasing’ (Greek), are those which are exceeded by the sum of their divisors: e.g. 12 and 18 are less than 16 and 21. ‘Waning’ (Greek) numbers, called also ‘decreasing’ (Greek) are those which succeed the sum of their divisors: e.g. 8 and 27 exceed 7 and 13. The words translated ‘commensurable and agreeable to one another’ (Greek) seem to be different ways of describing the same relation, with more or less precision. They are equivalent to ‘expressible in terms having the same relation to one another,’ like the series 8, 12, 18, 27, each of which numbers is in the relation of (1 and 1/2) to the preceding. The ‘base,’ or ‘fundamental number, which has 1/3 added to it’ (1 and 1/3) = 4/3 or a musical fourth. (Greek) is a ‘proportion’ of numbers as of musical notes, applied either to the parts or factors of a single number or to the relation of one number to another. The first harmony is a ‘square’ number (Greek); the second harmony is an ‘oblong’ number (Greek), i.e. a number representing a figure of which the opposite sides only are equal. (Greek) = ‘numbers squared from’ or ‘upon diameters’; (Greek) = ‘rational,’ i.e. omitting fractions, (Greek), ‘irrational,’ i.e. including fractions; e.g. 49 is a square of the rational diameter of a figure the side of which = 5: 50, of an irrational diameter of the same. For several of the explanations here given and for a good deal besides I am indebted to an excellent article on the Platonic Number by Dr. Donaldson (Proc. of the Philol. Society).

The conclusions which he draws from these data are summed up by him as follows. Having assumed that the number of the perfect or divine cycle is the number of the world, and the number of the imperfect cycle the number of the state, he proceeds: ‘The period of the world is defined by the perfect number 6, that of the state by the cube of that number or 216, which is the product of the last pair of terms in the Platonic Tetractys (a series of seven terms, 1, 2, 3, 4, 9, 8, 27); and if we take this as the basis of our computation, we shall have two cube numbers (Greek), viz. 8 and 27; and the mean proportionals between these, viz. 12 and 18, will furnish three intervals and four terms, and these terms and intervals stand related to one another in the sesqui-altera ratio, i.e. each term is to the preceding as 3/2. Now if we remember that the number 216 = 8 x 27 = 3 cubed + 4 cubed + 5 cubed, and 3 squared + 4 squared = 5 squared, we must admit that this number implies the numbers 3, 4, 5, to which musicians attach so much importance. And if we combine the ratio 4/3 with the number 5, or multiply the ratios of the sides by the hypotenuse, we shall by first squaring and then cubing obtain two expressions, which denote the ratio of the two last pairs of terms in the Platonic Tetractys, the former multiplied by the square, the latter by the cube of the number 10, the sum of the first four digits which constitute the Platonic Tetractys.’ The two (Greek) he elsewhere explains as follows: ‘The first (Greek) is (Greek), in other words (4/3 x 5) all squared = 100 x 2 squared over 3 squared. The second (Greek), a cube of the same root, is described as 100 multiplied (alpha) by the rational diameter of 5 diminished by unity, i.e., as shown above, 48: (beta) by two incommensurable diameters, i.e. the two first irrationals, or 2 and 3: and (gamma) by the cube of 3, or 27. Thus we have (48 + 5 + 27) 100 = 1000 x 2 cubed. This second harmony is to be the cube of the number of which the former harmony is the square, and therefore must be divided by the cube of 3. In other words, the whole expression will be: (1), for the first harmony, 400/9: (2), for the second harmony, 8000/27.’

The reasons which have inclined me to agree with Dr. Donaldson and also with Schleiermacher in supposing that 216 is the Platonic number of births are: (1) that it coincides with the description of the number given in the first part of the passage (Greek...): (2) that the number 216 with its permutations would have been familiar to a Greek mathematician, though unfamiliar to us: (3) that 216 is the cube of 6, and also the sum of 3 cubed, 4 cubed, 5 cubed, the numbers 3, 4, 5 representing the Pythagorean triangle, of which the sides when squared equal the square of the hypotenuse (9 + 16 = 25): (4) that it is also the period of the Pythagorean Metempsychosis: (5) the three ultimate terms or bases (3, 4, 5) of which 216 is composed answer to the third, fourth, fifth in the musical scale: (6) that the number 216 is the product of the cubes of 2 and 3, which are the two last terms in the Platonic Tetractys: (7) that the Pythagorean triangle is said by Plutarch (de Is. et Osir.), Proclus (super prima Eucl.), and Quintilian (de Musica) to be contained in this passage, so that the tradition of the school seems to point in the same direction: (8) that the Pythagorean triangle is called also the figure of marriage (Greek).

But though agreeing with Dr. Donaldson thus far, I see no reason for supposing, as he does, that the first or perfect number is the world, the human or imperfect number the state; nor has he given any proof that the second harmony is a cube. Nor do I think that (Greek) can mean ‘two incommensurables,’ which he arbitrarily assumes to be 2 and 3, but rather, as the preceding clause implies, (Greek), i.e. two square numbers based upon irrational diameters of a figure the side of which is 5 = 50 x 2.

The greatest objection to the translation is the sense given to the words (Greek), ‘a base of three with a third added to it, multiplied by 5.’ In this somewhat forced manner Plato introduces once more the numbers of the Pythagorean triangle. But the coincidences in the numbers which follow are in favour of the explanation. The first harmony of 400, as has been already remarked, probably represents the rulers; the second and oblong harmony of 7600, the people.

And here we take leave of the difficulty. The discovery of the riddle would be useless, and would throw no light on ancient mathematics. The point of interest is that Plato should have used such a symbol, and that so much of the Pythagorean spirit should have prevailed in him. His general meaning is that divine creation is perfect, and is represented or presided over by a perfect or cyclical number; human generation is imperfect, and represented or presided over by an imperfect number or series of numbers. The number 5040, which is the number of the citizens in the Laws, is expressly based by him on utilitarian grounds, namely, the convenience of the number for division; it is also made up of the first seven digits multiplied by one another. The contrast of the perfect and imperfect number may have been easily suggested by the corrections of the cycle, which were made first by Meton and secondly by Callippus; (the latter is said to have been a pupil of Plato). Of the degree of importance or of exactness to be attributed to the problem, the number of the tyrant in Book IX (729 = 365 x 2), and the slight correction of the error in the number 5040/12 (Laws), may furnish a criterion. There is nothing surprising in the circumstance that those who were seeking for order in nature and had found order in number, should have imagined one to give law to the other. Plato believes in a power of number far beyond what he could see realized in the world around him, and he knows the great influence which ‘the little matter of 1, 2, 3’ exercises upon education. He may even be thought to have a prophetic anticipation of the discoveries of Quetelet and others, that numbers depend upon numbers; e.g.—in population, the numbers of births and the respective numbers of children born of either sex, on the respective ages of parents, i.e. on other numbers.

BOOK IX. Last of all comes the tyrannical man, about whom we have to enquire, Whence is he, and how does he live—in happiness or in misery? There is, however, a previous question of the nature and number of the appetites, which I should like to consider first. Some of them are unlawful, and yet admit of being chastened and weakened in various degrees by the power of reason and law. ‘What appetites do you mean?’ I mean those which are awake when the reasoning powers are asleep, which get up and walk about naked without any self-respect or shame; and there is no conceivable folly or crime, however cruel or unnatural, of which, in imagination, they may not be guilty. ‘True,’ he said; ‘very true.’ But when a man’s pulse beats temperately; and he has supped on a feast of reason and come to a knowledge of himself before going to rest, and has satisfied his desires just enough to prevent their perturbing his reason, which remains clear and luminous, and when he is free from quarrel and heat,—the visions which he has on his bed are least irregular and abnormal. Even in good men there is such an irregular wild-beast nature, which peers out in sleep.

To return:—You remember what was said of the democrat; that he was the son of a miserly father, who encouraged the saving desires and repressed the ornamental and expensive ones; presently the youth got into fine company, and began to entertain a dislike to his father’s narrow ways; and being a better man than the corrupters of his youth, he came to a mean, and led a life, not of lawless or slavish passion, but of regular and successive indulgence. Now imagine that the youth has become a father, and has a son who is exposed to the same temptations, and has companions who lead him into every sort of iniquity, and parents and friends who try to keep him right. The counsellors of evil find that their only chance of retaining him is to implant in his soul a monster drone, or love; while other desires buzz around him and mystify him with sweet sounds and scents, this monster love takes possession of him, and puts an end to every true or modest thought or wish. Love, like drunkenness and madness, is a tyranny; and the tyrannical man, whether made by nature or habit, is just a drinking, lusting, furious sort of animal.

And how does such an one live? ‘Nay, that you must tell me.’ Well then, I fancy that he will live amid revelries and harlotries, and love will be the lord and master of the house. Many desires require much money, and so he spends all that he has and borrows more; and when he has nothing the young ravens are still in the nest in which they were hatched, crying for food. Love urges them on; and they must be gratified by force or fraud, or if not, they become painful and troublesome; and as the new pleasures succeed the old ones, so will the son take possession of the goods of his parents; if they show signs of refusing, he will defraud and deceive them; and if they openly resist, what then? ‘I can only say, that I should not much like to be in their place.’ But, O heavens, Adeimantus, to think that for some new-fangled and unnecessary love he will give up his old father and mother, best and dearest of friends, or enslave them to the fancies of the hour! Truly a tyrannical son is a blessing to his father and mother! When there is no more to be got out of them, he turns burglar or pickpocket, or robs a temple. Love overmasters the thoughts of his youth, and he becomes in sober reality the monster that he was sometimes in sleep. He waxes strong in all violence and lawlessness; and is ready for any deed of daring that will supply the wants of his rabble-rout. In a well-ordered State there are only a few such, and these in time of war go out and become the mercenaries of a tyrant. But in time of peace they stay at home and do mischief; they are the thieves, footpads, cut-purses, man-stealers of the community; or if they are able to speak, they turn false-witnesses and informers. ‘No small catalogue of crimes truly, even if the perpetrators are few.’ Yes, I said; but small and great are relative terms, and no crimes which are committed by them approach those of the tyrant, whom this class, growing strong and numerous, create out of themselves. If the people yield, well and good, but, if they resist, then, as before he beat his father and mother, so now he beats his fatherland and motherland, and places his mercenaries over them. Such men in their early days live with flatterers, and they themselves flatter others, in order to gain their ends; but they soon discard their followers when they have no longer any need of them; they are always either masters or servants,—the joys of friendship are unknown to them. And they are utterly treacherous and unjust, if the nature of justice be at all understood by us. They realize our dream; and he who is the most of a tyrant by nature, and leads the life of a tyrant for the longest time, will be the worst of them, and being the worst of them, will also be the most miserable.

Like man, like State,—the tyrannical man will answer to tyranny, which is the extreme opposite of the royal State; for one is the best and the other the worst. But which is the happier? Great and terrible as the tyrant may appear enthroned amid his satellites, let us not be afraid to go in and ask; and the answer is, that the monarchical is the happiest, and the tyrannical the most miserable of States. And may we not ask the same question about the men themselves, requesting some one to look into them who is able to penetrate the inner nature of man, and will not be panic-struck by the vain pomp of tyranny? I will suppose that he is one who has lived with him, and has seen him in family life, or perhaps in the hour of trouble and danger.

Assuming that we ourselves are the impartial judge for whom we seek, let us begin by comparing the individual and State, and ask first of all, whether the State is likely to be free or enslaved—Will there not be a little freedom and a great deal of slavery? And the freedom is of the bad, and the slavery of the good; and this applies to the man as well as to the State; for his soul is full of meanness and slavery, and the better part is enslaved to the worse. He cannot do what he would, and his mind is full of confusion; he is the very reverse of a freeman. The State will be poor and full of misery and sorrow; and the man’s soul will also be poor and full of sorrows, and he will be the most miserable of men. No, not the most miserable, for there is yet a more miserable. ‘Who is that?’ The tyrannical man who has the misfortune also to become a public tyrant. ‘There I suspect that you are right.’ Say rather, ‘I am sure;’ conjecture is out of place in an enquiry of this nature. He is like a wealthy owner of slaves, only he has more of them than any private individual. You will say, ‘The owners of slaves are not generally in any fear of them.’ But why? Because the whole city is in a league which protects the individual. Suppose however that one of these owners and his household is carried off by a god into a wilderness, where there are no freemen to help him—will he not be in an agony of terror?—will he not be compelled to flatter his slaves and to promise them many things sore against his will? And suppose the same god who carried him off were to surround him with neighbours who declare that no man ought to have slaves, and that the owners of them should be punished with death. ‘Still worse and worse! He will be in the midst of his enemies.’ And is not our tyrant such a captive soul, who is tormented by a swarm of passions which he cannot indulge; living indoors always like a woman, and jealous of those who can go out and see the world?

Having so many evils, will not the most miserable of men be still more miserable in a public station? Master of others when he is not master of himself; like a sick man who is compelled to be an athlete; the meanest of slaves and the most abject of flatterers; wanting all things, and never able to satisfy his desires; always in fear and distraction, like the State of which he is the representative. His jealous, hateful, faithless temper grows worse with command; he is more and more faithless, envious, unrighteous,—the most wretched of men, a misery to himself and to others. And so let us have a final trial and proclamation; need we hire a herald, or shall I proclaim the result? ‘Made the proclamation yourself.’ The son of Ariston (the best) is of opinion that the best and justest of men is also the happiest, and that this is he who is the most royal master of himself; and that the unjust man is he who is the greatest tyrant of himself and of his State. And I add further—‘seen or unseen by gods or men.’

This is our first proof. The second is derived from the three kinds of pleasure, which answer to the three elements of the soul—reason, passion, desire; under which last is comprehended avarice as well as sensual appetite, while passion includes ambition, party-feeling, love of reputation. Reason, again, is solely directed to the attainment of truth, and careless of money and reputation. In accordance with the difference of men’s natures, one of these three principles is in the ascendant, and they have their several pleasures corresponding to them. Interrogate now the three natures, and each one will be found praising his own pleasures and depreciating those of others. The money-maker will contrast the vanity of knowledge with the solid advantages of wealth. The ambitious man will despise knowledge which brings no honour; whereas the philosopher will regard only the fruition of truth, and will call other pleasures necessary rather than good. Now, how shall we decide between them? Is there any better criterion than experience and knowledge? And which of the three has the truest knowledge and the widest experience? The experience of youth makes the philosopher acquainted with the two kinds of desire, but the avaricious and the ambitious man never taste the pleasures of truth and wisdom. Honour he has equally with them; they are ‘judged of him,’ but he is ‘not judged of them,’ for they never attain to the knowledge of true being. And his instrument is reason, whereas their standard is only wealth and honour; and if by reason we are to judge, his good will be the truest. And so we arrive at the result that the pleasure of the rational part of the soul, and a life passed in such pleasure is the pleasantest. He who has a right to judge judges thus. Next comes the life of ambition, and, in the third place, that of money-making.

Twice has the just man overthrown the unjust—once more, as in an Olympian contest, first offering up a prayer to the saviour Zeus, let him try a fall. A wise man whispers to me that the pleasures of the wise are true and pure; all others are a shadow only. Let us examine this: Is not pleasure opposed to pain, and is there not a mean state which is neither? When a man is sick, nothing is more pleasant to him than health. But this he never found out while he was well. In pain he desires only to cease from pain; on the other hand, when he is in an ecstasy of pleasure, rest is painful to him. Thus rest or cessation is both pleasure and pain. But can that which is neither become both? Again, pleasure and pain are motions, and the absence of them is rest; but if so, how can the absence of either of them be the other? Thus we are led to infer that the contradiction is an appearance only, and witchery of the senses. And these are not the only pleasures, for there are others which have no preceding pains. Pure pleasure then is not the absence of pain, nor pure pain the absence of pleasure; although most of the pleasures which reach the mind through the body are reliefs of pain, and have not only their reactions when they depart, but their anticipations before they come. They can be best described in a simile. There is in nature an upper, lower, and middle region, and he who passes from the lower to the middle imagines that he is going up and is already in the upper world; and if he were taken back again would think, and truly think, that he was descending. All this arises out of his ignorance of the true upper, middle, and lower regions. And a like confusion happens with pleasure and pain, and with many other things. The man who compares grey with black, calls grey white; and the man who compares absence of pain with pain, calls the absence of pain pleasure. Again, hunger and thirst are inanitions of the body, ignorance and folly of the soul; and food is the satisfaction of the one, knowledge of the other. Now which is the purer satisfaction—that of eating and drinking, or that of knowledge? Consider the matter thus: The satisfaction of that which has more existence is truer than of that which has less. The invariable and immortal has a more real existence than the variable and mortal, and has a corresponding measure of knowledge and truth. The soul, again, has more existence and truth and knowledge than the body, and is therefore more really satisfied and has a more natural pleasure. Those who feast only on earthly food, are always going at random up to the middle and down again; but they never pass into the true upper world, or have a taste of true pleasure. They are like fatted beasts, full of gluttony and sensuality, and ready to kill one another by reason of their insatiable lust; for they are not filled with true being, and their vessel is leaky (Gorgias). Their pleasures are mere shadows of pleasure, mixed with pain, coloured and intensified by contrast, and therefore intensely desired; and men go fighting about them, as Stesichorus says that the Greeks fought about the shadow of Helen at Troy, because they know not the truth.

The same may be said of the passionate element:—the desires of the ambitious soul, as well as of the covetous, have an inferior satisfaction. Only when under the guidance of reason do either of the other principles do their own business or attain the pleasure which is natural to them. When not attaining, they compel the other parts of the soul to pursue a shadow of pleasure which is not theirs. And the more distant they are from philosophy and reason, the more distant they will be from law and order, and the more illusive will be their pleasures. The desires of love and tyranny are the farthest from law, and those of the king are nearest to it. There is one genuine pleasure, and two spurious ones: the tyrant goes beyond even the latter; he has run away altogether from law and reason. Nor can the measure of his inferiority be told, except in a figure. The tyrant is the third removed from the oligarch, and has therefore, not a shadow of his pleasure, but the shadow of a shadow only. The oligarch, again, is thrice removed from the king, and thus we get the formula 3 x 3, which is the number of a surface, representing the shadow which is the tyrant’s pleasure, and if you like to cube this ‘number of the beast,’ you will find that the measure of the difference amounts to 729; the king is 729 times more happy than the tyrant. And this extraordinary number is NEARLY equal to the number of days and nights in a year (365 x 2 = 730); and is therefore concerned with human life. This is the interval between a good and bad man in happiness only: what must be the difference between them in comeliness of life and virtue!

Perhaps you may remember some one saying at the beginning of our discussion that the unjust man was profited if he had the reputation of justice. Now that we know the nature of justice and injustice, let us make an image of the soul, which will personify his words. First of all, fashion a multitudinous beast, having a ring of heads of all manner of animals, tame and wild, and able to produce and change them at pleasure. Suppose now another form of a lion, and another of a man; the second smaller than the first, the third than the second; join them together and cover them with a human skin, in which they are completely concealed. When this has been done, let us tell the supporter of injustice that he is feeding up the beasts and starving the man. The maintainer of justice, on the other hand, is trying to strengthen the man; he is nourishing the gentle principle within him, and making an alliance with the lion heart, in order that he may be able to keep down the many-headed hydra, and bring all into unity with each other and with themselves. Thus in every point of view, whether in relation to pleasure, honour, or advantage, the just man is right, and the unjust wrong.

But now, let us reason with the unjust, who is not intentionally in error. Is not the noble that which subjects the beast to the man, or rather to the God in man; the ignoble, that which subjects the man to the beast? And if so, who would receive gold on condition that he was to degrade the noblest part of himself under the worst?—who would sell his son or daughter into the hands of brutal and evil men, for any amount of money? And will he sell his own fairer and diviner part without any compunction to the most godless and foul? Would he not be worse than Eriphyle, who sold her husband’s life for a necklace? And intemperance is the letting loose of the multiform monster, and pride and sullenness are the growth and increase of the lion and serpent element, while luxury and effeminacy are caused by a too great relaxation of spirit. Flattery and meanness again arise when the spirited element is subjected to avarice, and the lion is habituated to become a monkey. The real disgrace of handicraft arts is, that those who are engaged in them have to flatter, instead of mastering their desires; therefore we say that they should be placed under the control of the better principle in another because they have none in themselves; not, as Thrasymachus imagined, to the injury of the subjects, but for their good. And our intention in educating the young, is to give them self-control; the law desires to nurse up in them a higher principle, and when they have acquired this, they may go their ways.

‘What, then, shall a man profit, if he gain the whole world’ and become more and more wicked? Or what shall he profit by escaping discovery, if the concealment of evil prevents the cure? If he had been punished, the brute within him would have been silenced, and the gentler element liberated; and he would have united temperance, justice, and wisdom in his soul—a union better far than any combination of bodily gifts. The man of understanding will honour knowledge above all; in the next place he will keep under his body, not only for the sake of health and strength, but in order to attain the most perfect harmony of body and soul. In the acquisition of riches, too, he will aim at order and harmony; he will not desire to heap up wealth without measure, but he will fear that the increase of wealth will disturb the constitution of his own soul. For the same reason he will only accept such honours as will make him a better man; any others he will decline. ‘In that case,’ said he, ‘he will never be a politician.’ Yes, but he will, in his own city; though probably not in his native country, unless by some divine accident. ‘You mean that he will be a citizen of the ideal city, which has no place upon earth.’ But in heaven, I replied, there is a pattern of such a city, and he who wishes may order his life after that image. Whether such a state is or ever will be matters not; he will act according to that pattern and no other...

The most noticeable points in the 9th Book of the Republic are:—(1) the account of pleasure; (2) the number of the interval which divides the king from the tyrant; (3) the pattern which is in heaven.