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.
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