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First, then, I said, let us enquire how timocracy (the government of honour) arises out of aristocracy (the government of the best). Clearly, all political changes originate in divisions of the actual governing power; a government which is united, however small, cannot be moved.

Very true, he said.

In what way, then, will our city be moved, and in what manner will the two classes of auxiliaries and rulers disagree among themselves or with one another? Shall we, after the manner of Homer, pray the Muses to tell us 'how discord first arose'? Shall we imagine them in solemn mockery, to play and jest with us as if we were children, and to address us in a lofty tragic vein, making believe to be in earnest?

How would they address us?

After this manner:—A city which is thus constituted can hardly be shaken; but, seeing that everything which has a beginning has also an end, even a constitution such as yours will not last for ever, but will in time be dissolved. And this is the dissolution:—In plants that grow in the earth, as well as in animals that move on the earth's surface, fertility and sterility of soul and body occur when the circumferences of the circles of each are completed, which in short-lived existences pass over a short space, and in long-lived ones over a long space. But to the knowledge of human fecundity and sterility all the wisdom and education of your rulers will not attain; the laws which regulate them will not be discovered by an intelligence which is alloyed with sense, but will escape them, and they will bring children into the world when they ought not. Now that which is of divine birth has a period which is contained in a perfect number (i.e. a cyclical number, such as 6, which is equal to the sum of its divisors 1, 2, 3, so that when the circle or time represented by 6 is completed, the lesser times or rotations represented by 1, 2, 3 are also completed.), but the period of human birth is comprehended in a number in which first increments by involution and evolution (or squared and cubed) obtaining three intervals and four terms of like and unlike, waxing and waning numbers, make all the terms commensurable and agreeable to one another. (Probably the numbers 3, 4, 5, 6 of which the three first = the sides of the Pythagorean triangle. The terms will then be 3 cubed, 4 cubed, 5 cubed, which together = 6 cubed = 216.) The base of these (3) with a third added (4) when combined with five (20) and raised to the third power furnishes two harmonies; the first a square which is a hundred times as great (400 = 4 x 100) (Or the first a square which is 100 x 100 = 10,000. The whole number will then be 17,500 = a square of 100, and an oblong of 100 by 75.), and the other a figure having one side equal to the former, but oblong, consisting of a hundred numbers squared upon rational diameters of a square (i.e. omitting fractions), the side of which is five (7 x 7 = 49 x 100 = 4900), each of them being less by one (than the perfect square which includes the fractions, sc. 50) or less by (Or, 'consisting of two numbers squared upon irrational diameters,' etc. = 100. For other explanations of the passage see Introduction.) two perfect squares of irrational diameters (of a square the side of which is five = 50 + 50 = 100); and a hundred cubes of three (27 x 100 = 2700 + 4900 + 400 = 8000). Now this number represents a geometrical figure which has control over the good and evil of births. For when your guardians are ignorant of the law of births, and unite bride and bridegroom out of season, the children will not be goodly or fortunate. And though only the best of them will be appointed by their predecessors, still they will be unworthy to hold their fathers' places, and when they come into power as guardians, they will soon be found to fail in taking care of us, the Muses, first by under-valuing music; which neglect will soon extend to gymnastic; and hence the young men of your State will be less cultivated. In the succeeding generation rulers will be appointed who have lost the guardian power of testing the metal of your different races, which, like Hesiod's, are of gold and silver and brass and iron. And so iron will be mingled with silver, and brass with gold, and hence there will arise dissimilarity and inequality and irregularity, which always and in all places are causes of hatred and war. This the Muses affirm to be the stock from which discord has sprung, wherever arising; and this is their answer to us.

Yes, and we may assume that they answer truly.

Why, yes, I said, of course they answer truly; how can the Muses speak falsely?

And what do the Muses say next?

When discord arose, then the two races were drawn different ways: the iron and brass fell to acquiring money and land and houses and gold and silver; but the gold and silver races, not wanting money but having the true riches in their own nature, inclined towards virtue and the ancient order of things. There was a battle between them, and at last they agreed to distribute their land and houses among individual owners; and they enslaved their friends and maintainers, whom they had formerly protected in the condition of freemen, and made of them subjects and servants; and they themselves were engaged in war and in keeping a watch against them.

I believe that you have rightly conceived the origin of the change.

And the new government which thus arises will be of a form intermediate between oligarchy and aristocracy?

Very true.

Such will be the change, and after the change has been made, how will they proceed? Clearly, the new State, being in a mean between oligarchy and the perfect State, will partly follow one and partly the other, and will also have some peculiarities.

True, he said.

In the honour given to rulers, in the abstinence of the warrior class from agriculture, handicrafts, and trade in general, in the institution of common meals, and in the attention paid to gymnastics and military training—in all these respects this State will resemble the former.

True.

But in the fear of admitting philosophers to power, because they are no longer to be had simple and earnest, but are made up of mixed elements; and in turning from them to passionate and less complex characters, who are by nature fitted for war rather than peace; and in the value set by them upon military stratagems and contrivances, and in the waging of everlasting wars—this State will be for the most part peculiar.

Yes.

Yes, I said; and men of this stamp will be covetous of money, like those who live in oligarchies; they will have, a fierce secret longing after gold and silver, which they will hoard in dark places, having magazines and treasuries of their own for the deposit and concealment of them; also castles which are just nests for their eggs, and in which they will spend large sums on their wives, or on any others whom they please.

That is most true, he said.

And they are miserly because they have no means of openly acquiring the money which they prize; they will spend that which is another man's on the gratification of their desires, stealing their pleasures and running away like children from the law, their father: they have been schooled not by gentle influences but by force, for they have neglected her who is the true Muse, the companion of reason and philosophy, and have honoured gymnastic more than music.