Hesiod thinks that with the lapse of certain periods of years the end comes even to the demigods; for, speaking in the person of the Naiad, he indirectly suggests the length of time with these words: Hesiod, Frag. 183 (ed. Rzach); Cf. the Latin version of Ausonius, p. 93, ed. Peiper (1886). See also Moralia , 989 a; Martial, x. 67; Achilles Tatius, iv. 4. 3. Nine generations long is the life of the crow and his cawing, Nine generations of vigorous men. Cf. Aristophanes, Birds , 609. Lives of four crows together Equal the life of a stag, and three stags the old age of a raven; Nine of the lives of the raven the life of the Phoenix doth equal; Ten of the Phoenix we Nymphs, fair daughters of Zeus of the aegis. Those that do not interpret generation well make an immense total of this time; but it really means a year, so that the sum of the life of these divinities is nine thousand, seven hundred and twenty years, less than most mathematicians think, and more than Pindar Pindar, Frag. 165 (ed. Christ); quoted also in Moralia , 757 f. has stated when he says that the Nymphs live Allotted a term as long as the years of a tree, and for this reason he calls them Hamadryads. While he was still speaking Demetrius, interrupting him, said, How is it, Cleombrotus, that you can say that the year has been called a generation? For neither of a man in his vigour nor in his eld, as some read the passage, is the span of human life such as this. Those who read in their vigour make a generation thirty years, in accord with Heracleitus, Cf. Diels, Frag. der Vorsokratiker , i. p. 76, Heracleitus, no. a 19. a time sufficient for a father to have a son who is a father also; but again those who write in their eld and not in their vigour assign an hundred and eight years to a generation; for they say that fifty-four marks the limit of the middle years of human life, a number which is made up of the first number, the first two plane surfaces, two squares and two cubes, That is 1 + (1x2) + (1x3) + 4 + 9 + 8 + 27 = 54. numbers which Plato also took in his Generation of the Soul . Cf. Plato, Timaeus , 34 c - 35 a. The whole matter as stated by Hesiod seems to contain a veiled reference to the Conflagration, when the disappearance of all liquids will most likely be accompanied by the extinction of the Nymphs, Who in the midst of fair woodlands, Sources of rivers, and grass-covered meadows have their abiding. Homer, Il. xx. 8-9. Yes, said Cleombrotus, I hear this from many persons, and I observe that the Stoic Conflagration, just as it feeds on the verses of Heracleitus and Orpheus, is also seizing upon those of Hesiod. But I cannot brook this talk of universal destruction; and such impossibilities, in recalling to our minds these utterances, especially those about the crow and the stag, must be allowed to revert upon those that indulge in such exaggeration. Does not a year include within itself the beginning and the end of all things which the Seasons and the Earth make grow, Cf. Diels, Frag. der Vorsokratiker , i. p. 97, Heracleitus, no. b 100. and is it not foreign to men’s ways to call it a generation ? As a matter of fact you yourselves surely agree that Hesiod by the word generation means a man’s life. Is not that so? Yes, said Demetrius. And this fact also is clear, said Cleombrotus, that often the measure and the things measured are called by the same name, as, for example, gill, quart, gallon, and bushel. Cf. Censorinus, De die natali ad Iu. Caerellium , xviii. 11, and Geffcken in Hermes , xlix. 336. In the same way, then, in which we call unity a number, being, as it is, the smallest number and the first; so the year, which we use as the first measure of man’s life, Hesiod has called by the same name as the thing measured, a generation. The fact is that the numbers which those other persons produce have none of those notable and conspicuous qualities which may be inherent in numbers. The number nine thousand, seven hundred and twenty Cf. 415 d, supra . has been produced by adding together the first four numbers and multiplying them by four, (1 + 2 + 3 + 4) x 4 = 40. or by multiplying four by ten. Either process gives forty, and when this is multiplied five times by three it gives the specified number. 40 x 3 5 = 9720. But concerning these matters there is no need for us to disagree with Demetrius. In fact, even if the period of time in which the soul of the demigod or hero changes its life Cf. 415 b, supra . be longer or shorter, determinate or indeterminate, none the less the proof will be there on the basis which he desires, fortified by clear testimony from ancient times, that in the confines, as it were, between gods and men there exist certain natures susceptible to human emotions and involuntary changes, whom it is right that we, like our fathers before us, should regard as demigods, and, calling them by that name, should reverence them. As an illustration of this subject, Xenocrates, the companion of Plato, employed the order of the triangles; the equilateral he compared to the nature of the gods, the scalene to that of man, and the isosceles to that of the demigods; for the first is equal in all its lines, the second unequal in all, and the third is partly equal and partly unequal, like the nature of the demigods, which has human emotions and godlike power. Nature has placed within our ken perceptible images and visible likenesses, the sun and the stars for the gods, and for mortal men beams of light, All last night the northern streamers flashed across the western sky. comets, and meteors, a comparison which Euripides Cf. Nauck, Trag. Graec. Frag. p. 674, Euripides, no 971. Plutarch quotes the lines again in Moralia , 1090 c. has made in the verses: He that but yesterday was vigorous Of frame, even as a star from heaven falls, Gave up in death his spirit to the air. But there is a body with complex characteristics which actually parallels the demigods, namely the moon; and when men see that she, by her being consistently in accord with the cycles through which those beings pass, Cf. Moralia , 361 c, and the lines of Empedocles there quoted. is subject to apparent wanings and waxings and transformations,some call her an earth-like star, others a star-like earth, Ibid. 935 c. and others the domain of Hecate, who belongs both to the earth and to the heavens. Now if the air that is between the earth and the moon were to be removed and withdrawn, the unity and consociation of the universe would be destroyed, since there would be an empty and unconnected space in the middle; and in just the same way those who refuse to leave us the race of demigods make the relations of gods and men remote and alien by doing away with the interpretative and ministering nature, as Plato Cf. Republic , 260 d, and Symposium , 202 e. has called it; or else they force us to a disorderly confusion of all things, in which we bring the god into men’s emotions and activities, drawing him down to our needs, as the women of Thessaly are said to draw down the moon. Cf. the note on 400 b supra . This cunning deceit of theirs, however, gained credence among women when the daughter of Hegetor, Aglaonicê, who was skilled in astronomy, always pretended at the time of an eclipse of the moon that she was bewitching it and bringing it down. Cf. Moralia , 145 c. But as for us, let us not listen to any who say that there are some oracles not divinely inspired, or religious ceremonies and mystic rites which are disregarded by the gods; and on the other hand let us not imagine that the god goes in and out and is present at these ceremonies and helps in conducting them; but let us commit these matters to those ministers of the gods to whom it is right to commit them, as to servants and clerks, and let us believe that demigods are guardians of sacred rites of the gods and prompters in the Mysteries, while others go about as avengers of arrogant and grievous cases of injustice. Still others Hesiod Works and Days , 123, 126; cf. also Moralia , 361 b, supra . has very impressively addressed as Holy Givers of wealth, and possessing in this a meed that is kingly, implying that doing good to people is kingly. For as among men, so also among the demigods., there are different degrees of excellence, and in some there is a weak and dim remainder of the emotional and irrational, a survival, as it were, while in others this is excessive and hard to stifle. Of all these things there are, in many places, sacrifices, ceremonies, andlegends which preserve and jealously guard vestiges and tokens embodied here and there in their fabric.