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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.

1. Plato’s account of pleasure is remarkable for moderation, and in this respect contrasts with the later Platonists and the views which are attributed to them by Aristotle. He is not, like the Cynics, opposed to all pleasure, but rather desires that the several parts of the soul shall have their natural satisfaction; he even agrees with the Epicureans in describing pleasure as something more than the absence of pain. This is proved by the circumstance that there are pleasures which have no antecedent pains (as he also remarks in the Philebus), such as the pleasures of smell, and also the pleasures of hope and anticipation. In the previous book he had made the distinction between necessary and unnecessary pleasure, which is repeated by Aristotle, and he now observes that there are a further class of ‘wild beast’ pleasures, corresponding to Aristotle’s (Greek). He dwells upon the relative and unreal character of sensual pleasures and the illusion which arises out of the contrast of pleasure and pain, pointing out the superiority of the pleasures of reason, which are at rest, over the fleeting pleasures of sense and emotion. The pre-eminence of royal pleasure is shown by the fact that reason is able to form a judgment of the lower pleasures, while the two lower parts of the soul are incapable of judging the pleasures of reason. Thus, in his treatment of pleasure, as in many other subjects, the philosophy of Plato is ‘sawn up into quantities’ by Aristotle; the analysis which was originally made by him became in the next generation the foundation of further technical distinctions. Both in Plato and Aristotle we note the illusion under which the ancients fell of regarding the transience of pleasure as a proof of its unreality, and of confounding the permanence of the intellectual pleasures with the unchangeableness of the knowledge from which they are derived. Neither do we like to admit that the pleasures of knowledge, though more elevating, are not more lasting than other pleasures, and are almost equally dependent on the accidents of our bodily state (Introduction to Philebus).

2. The number of the interval which separates the king from the tyrant, and royal from tyrannical pleasures, is 729, the cube of 9. Which Plato characteristically designates as a number concerned with human life, because NEARLY equivalent to the number of days and nights in the year. He is desirous of proclaiming that the interval between them is immeasurable, and invents a formula to give expression to his idea. Those who spoke of justice as a cube, of virtue as an art of measuring (Prot.), saw no inappropriateness in conceiving the soul under the figure of a line, or the pleasure of the tyrant as separated from the pleasure of the king by the numerical interval of 729. And in modern times we sometimes use metaphorically what Plato employed as a philosophical formula. ‘It is not easy to estimate the loss of the tyrant, except perhaps in this way,’ says Plato. So we might say, that although the life of a good man is not to be compared to that of a bad man, yet you may measure the difference between them by valuing one minute of the one at an hour of the other (‘One day in thy courts is better than a thousand’), or you might say that ‘there is an infinite difference.’ But this is not so much as saying, in homely phrase, ‘They are a thousand miles asunder.’ And accordingly Plato finds the natural vehicle of his thoughts in a progression of numbers; this arithmetical formula he draws out with the utmost seriousness, and both here and in the number of generation seems to find an additional proof of the truth of his speculation in forming the number into a geometrical figure; just as persons in our own day are apt to fancy that a statement is verified when it has been only thrown into an abstract form. In speaking of the number 729 as proper to human life, he probably intended to intimate that one year of the tyrannical = 12 hours of the royal life.

The simple observation that the comparison of two similar solids is effected by the comparison of the cubes of their sides, is the mathematical groundwork of this fanciful expression. There is some difficulty in explaining the steps by which the number 729 is obtained; the oligarch is removed in the third degree from the royal and aristocratical, and the tyrant in the third degree from the oligarchical; but we have to arrange the terms as the sides of a square and to count the oligarch twice over, thus reckoning them not as = 5 but as = 9. The square of 9 is passed lightly over as only a step towards the cube.

3. Towards the close of the Republic, Plato seems to be more and more convinced of the ideal character of his own speculations. At the end of the 9th Book the pattern which is in heaven takes the place of the city of philosophers on earth. The vision which has received form and substance at his hands, is now discovered to be at a distance. And yet this distant kingdom is also the rule of man’s life. (‘Say not lo! here, or lo! there, for the kingdom of God is within you.’) Thus a note is struck which prepares for the revelation of a future life in the following Book. But the future life is present still; the ideal of politics is to be realized in the individual.

BOOK X. Many things pleased me in the order of our State, but there was nothing which I liked better than the regulation about poetry. The division of the soul throws a new light on our exclusion of imitation. I do not mind telling you in confidence that all poetry is an outrage on the understanding, unless the hearers have that balm of knowledge which heals error. I have loved Homer ever since I was a boy, and even now he appears to me to be the great master of tragic poetry. But much as I love the man, I love truth more, and therefore I must speak out: and first of all, will you explain what is imitation, for really I do not understand? ‘How likely then that I should understand!’ That might very well be, for the duller often sees better than the keener eye. ‘True, but in your presence I can hardly venture to say what I think.’ Then suppose that we begin in our old fashion, with the doctrine of universals. Let us assume the existence of beds and tables. There is one idea of a bed, or of a table, which the maker of each had in his mind when making them; he did not make the ideas of beds and tables, but he made beds and tables according to the ideas. And is there not a maker of the works of all workmen, who makes not only vessels but plants and animals, himself, the earth and heaven, and things in heaven and under the earth? He makes the Gods also. ‘He must be a wizard indeed!’ But do you not see that there is a sense in which you could do the same? You have only to take a mirror, and catch the reflection of the sun, and the earth, or anything else—there now you have made them. ‘Yes, but only in appearance.’ Exactly so; and the painter is such a creator as you are with the mirror, and he is even more unreal than the carpenter; although neither the carpenter nor any other artist can be supposed to make the absolute bed. ‘Not if philosophers may be believed.’ Nor need we wonder that his bed has but an imperfect relation to the truth. Reflect:—Here are three beds; one in nature, which is made by God; another, which is made by the carpenter; and the third, by the painter. God only made one, nor could he have made more than one; for if there had been two, there would always have been a third—more absolute and abstract than either, under which they would have been

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