And he adds the cause (O. xi. 498):--

For I am no longer his champion under the sun, so mighty a man as once I was, when in wide Troy I slew the best of the host, succoring the Argives.

That saying of the Stoics, that good men are friends of the G.o.ds, is taken from Homer, who says about Amphiaerus (O. xv. 245):--

Whom Zeus, lord of the ages, and Apollo loved with all 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 it is creative, it keeps its original force and does not allow of division, since PER SE the mind is superior. But the even added to itself neither produces the odd nor is indivisible. And Homer seems to place the nature of the one in the sphere of the good, and the nature of the dual in the opposite many times. Often he declares a good man to be [Greek omitted] "kind" and the adjective from it is "benignity"; as follows (I. ii. 204):--

It is not good for many to reign, let there be but one ruler.

And (O. iii. 127):--

We never spake diversely either in the a.s.sembly or in the council, but always were of one mind.

He always makes use of the uneven number as the better. For making the whole world to have five parts, three of these being the mean, he divides it (I. xv. 189):--

Threefold was our portion each obtained, His need of honor due.

Therefore, too, Aristotle thought there were five elements, since the uneven and perfect number had everywhere the predominance. And to the heavenly G.o.ds he gives the uneven shares. For Nestor nine times to Poseidon sacrificed nine bulls; and Tiresias bids Odysseus sacrifice (O.

xi. 131):--

A ram and a bull and a boar, the mate of swine.

But Achilles immolated for Patroclus, all in even numbers, four horses and (I. xxiii. 175):--

Twelve n.o.ble sons he slew, the sons of Troy,--

and of nine dogs he casts two on the pyre, in order to leave for himself seven. And in many places he uses the ternary, quinary, and septenary number, especially the number nine (I. vii. 161):--

The old man spoke reproachfully; at his words Uprose nine warriors.

And (O. xi. 311):--

At nine seasons old they were of breadth nine cubits, and nine fathoms in height.

(I. i. 53):--

Nine days the heavenly Archer on the troops hurl"d his dread shafts.

And (I. vi 174):--

Nine days he feasted him, nine oxen slew.

Why pray, is the number nine the most perfect? Because it is the square of the first odd number, and unevenly odd since it is divided into three triads, of which again each is divided into three units.

But not only the virtue of numbers but a natural way of counting he showed, as in the catalogue of ships he made (I. ii. 509):--

With these came fifty ships; and in each Were sixscore youths, Boeotia"s n.o.blest flow"r.

And again (I. xvi. 170):--

They were fifty men.

Whence it is possible to compute that as all the ships were near 1200, and each had 100 men, the whole number is 12 myriads--120,000.

Again speaking. of the Trojans (I. viii. 563):--

A thousand fires burnt brightly; and round each Sat fifty warriors in the ruddy glare.

He enables one to compute that without counting allies they were 50,000 men.

Now music being closest to the soul, since it is a harmony produced by different elements, by melodies, and by rhythms, intensifies what is relaxed and relaxes the intense. The Pythagoreans have clearly proved this, and before them Homer. For he gives praise to music, in the case of the Sirens, to which he adds the following (O. xii. 188)

And had joy thereof and gone on his way the wiser.

In another place he introduces in banquets the lyre, as among the suitors (O. xvii. 271):--

And the voice of the lyre is heard there which the G.o.ds made to be mate of the feast.

And at the house of Alcinous the player on the lyre (O. vii. 266):--

Was composing a beautiful song.

And at marriages (I. xviii. 495):--

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