Seite - 1239 - in The Complete Plato

another. 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 100 times as great (400 = 4 x 100), and the other a figure having one side equal to the former, but oblong, consisting of 100 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 two perfect squares of irrational diameters (of a square the side of which is five = 50 + 50 = 100); and 100 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 predecessor, still they will be unworthy to hold their father’s 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 undervaluing music; which neglect will soon extend to gymnastics; 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 toward 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. 1239