[The Republic by Plato]@TWC D-Link bookThe Republic INTRODUCTION AND ANALYSIS 244/474
'And what will they say ?' They will say that human things are fated to decay, and even the perfect State will not escape from this law of destiny, when 'the wheel comes full circle' in a period short or long.
Plants or animals have times of fertility and sterility, which the intelligence of rulers because alloyed by sense will not enable them to ascertain, and children will be born out of season.
For whereas divine creations are in a perfect cycle or number, the human creation is in a number which declines from perfection, and has four terms and three intervals of numbers, increasing, waning, assimilating, dissimilating, and yet perfectly commensurate with each other.
The base of the number with a fourth added (or which is 3:4), multiplied by five and cubed, gives two harmonies:--the first a square 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.
<<Back Index Next>> D-Link book Top TWC mobile books
|