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Consider the following analogy: just as they have dedicated the first month to the gods of Olympus, and the second, in which they perform certain rites of purification and sacrifice to the departed, to the gods of the lower world, so also in regard to the days of the month they have established three as festive and holy days, as I have stated,269 b, supra. which are, as it were, fundamental and sovereign days: but the days which follow immediately they have dedicated to the spirits and the dead, and have come to regard them as ill-omened and unsuitable for business. In fact, the Greeks worship the gods on the day of the new moon: the next day they have duly assigned to the heroes and spirits, and the second bowl of wine is mixed in honour of the heroes and heroines,That is, the spirits of the men and women of the Heroic Age who dwelt after death in the Isles of the Blest or in Hades. And speaking generally, time is a sort of number: and the beginning of number is divine, for it is the monad. But after it is the dyad, antagonistic to the beginning number, and the first of the even numbers. The even numbers are imperfect, incomplete, and indeterminate, just as the odd numbers are determinate, completing, and perfect. Cf. 264 a, supra, also Moralia, 374 a, 387 f, 429 a, 1002 a, 1012 e. Wherefore, in like manner, the Nones succeed the Kalends at an interval of five days and the Ides succeed the Nones at an interval of nine days. For the odd numbers define the beginnings, but the even numbers, since they occur after the beginnings, have no position nor power; therefore on these days they do not begin any business or travel.