Dialogues of Plato - MobileReference [817]
Then let us now proceed to describe the inferior sort of natures, being the contentious and ambitious, who answer to the Spartan polity; also the oligarchical, democratical, and tyrannical. Let us place the most just by the side of the most unjust, and when we see them we shall be able to compare the relative happiness or unhappiness of him who leads a life of pure justice or pure injustice. The enquiry will then be completed. And we shall know whether we ought to pursue injustice, as Thrasymachus advises, or in accordance with the conclusions of the argument to prefer justice.
Certainly, he replied, we must do as you say.
Shall we follow our old plan, which we adopted with a view to clearness, of taking the State first and then proceeding to the individual, and begin with the government of honour?--I know of no name for such a government other than timocracy, or perhaps timarchy. We will compare with this the like character in the individual; and, after that, consider oligarchy and the oligarchical man; and then again we will turn our attention to democracy and the democratical man; and lastly, we will go and view the city of tyranny, and once more take a look into the tyrant's soul, and try to arrive at a satisfactory decision.
That way of viewing and judging of the matter will be very suitable.
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,