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 of the odd number, but things that are less excellent and more various, to the nature of the even number. For every where indeed, the odd number is the leader of impartible, simple, and unical goods; but the even number is the cause of divided, various, and generative progressions. And thus we may see all the orders of beings woven together according to divine number which is most ancient, intellectual, and exempt from all the dinumerated genera. For it is necessary that number should exist prior to the things that are numbered, and that prior to things which are separated there should be the cause of all separation, according to which the genera of the Gods are divided, and are distinguished in an orderly manner by appropriate numbers.

If therefore in intellectuals there are divisions, contacts, and separations of the proceeding natures, and likewise communications of coordinate natures, it is necessary that number should be prior to intellectuals, which divides and collects all things intelligibly by the powers of itself. And if all things subsist occultly, intelligibly, in an unknown manner and exemptly in this summit, there is a number of them, and a peculiarity unical and without separation. Number therefore subsists according to the middle bond of intelligibles and intellectuals, being indeed expanded above intellectuals through intelligible goods, but subordinate to intelligibles through intellectual separations. And it is assimilated indeed to intelligibles according to the power which is collective of many things into union, but to intellectuals according to the power which is generative of the many from the one. But from this highest place of survey of the intellectual Gods, it constitutes the first intellectual numbers themselves which have the nature of forms, are universal, and preside over the whole of generation and production. It likewise constitutes the second numbers, which are supermundane, and vivific, and measure the Gods that are in the world. But it constitutes as the third numbers, these celestial governors of the perpetual circulations, and who convolve all the orbs according to the intellectual causes of them. And it constitutes as the last numbers those powers that in the sublunary region connect and