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By Root 2683 0

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,