shadows of pleasure, mixed with pain, coloured and intensified by contrast, and therefore intensely desired; and men go fighting about them, as Stesichorus says that the Greeks fought about the shadow of Helen at Troy, because they know not the truth. The same may be said of the passionate element:--the desires of the ambitious soul, as well as of the covetous, have an inferior satisfaction. Only when under the guidance of reason do either of the other principles do their own business *587* or attain the pleasure which is natural to them. When not attaining, they compel the other parts of the soul to pursue a shadow of pleasure which is not theirs. And the more distant they are from philosophy and reason, the more distant they will be from law and order, and the more illusive will be their pleasures. The desires of love and tyranny are the farthest from law, and those of the king are nearest to it. There is one genuine pleasure, and two spurious ones: the tyrant goes beyond even the latter; he has run away altogether from law and reason. Nor can the measure of his inferiority be told, except in a figure. The tyrant is the third removed from the oligarch, and has therefore, not a shadow of his pleasure, but the shadow of a shadow only. The oligarch, again, is thrice removed from the king, and thus we get the formula 3 x 3, which is the number of a surface, representing the shadow which is the tyrant's pleasure, and if you like to cube this 'number of the beast,' you will find that the measure of the difference amounts to 729; the king is 729 times more happy than the tyrant. And this extraordinary number is _nearly_ equal to the number of days and nights in a year (365 x 2 = 730); and is therefore concerned with human life. *588* This is the interval between a good and bad man in happiness only: what must be the difference between them in comeliness of life and virtue!