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manner of love. And of Odysseus (O. iii. 52):-- And Athene rejoiced in the wisdom and judgment of the man. There is, too, an opinion of the same philosophic school that virtue is teachable, and has for its beginning good birth. For Homer says (O. iv. 206):-- And from such a sire thou too art sprung, wherefore thou dost even speak wisely. And by training it is brought to perfection. For virtue is the knowledge of living rightly, i.e. of doing the things which it is necessary for those who live well to do. These principles can also be found in Homer, for he says (I. ix. 440):-- Inexperienced yet in war, that sorrow brings alike on all And sage debate in which attends renown. And in other places (I. vi. 446):-- Nor did my heart compel me, since I had learnt to be good, And Phoenix says of Achilles (I. ix. 442):-- Me then he sent, to teach thee how to frame Befitting speech, and mighty deeds achieve. For since life is made up of acts and speech, therefore he says he was the young man's teacher in these things. From what has been said it is plain that he declares the whole of virtue to be teachable. So, then, Homer is the first philosopher in ethics and in philosophy. Now to the same science belongs arithmetic and music, which Pythagoras especially honored. Let us see whether these are mentioned by our poet. Very often. A few examples from very many will suffice. For Pythagoras thought number had the greatest power and reduced everything to numbers--both the motions of the stars and the creation of living beings. And he established two supreme principles,--one finite unity, the other infinite duality. The one the principle of good, the other of evil. For the nature of unity being innate in what surrounds the whole creation gives order to it, to souls virtue, to bodies health, to cities and dwellings peace and harmony, for every good thing is conversant with concord. The nature of duality is just the contrary,--to the air disturbance, to souls evil, to bodies disease, to cities and dwellings factions and hostilities. For every evil comes from discord and disagreement. So he demonstrates of all the successive numbers that the even are imperfect and barren; but the odd are full and complete, because joined to the even they preserve their own character. Nor in this way alone is the odd number superior, but also added to itself it generates an even number. For
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