Enneads VI.6: Of Numbers
Figures Pre-exist in the Intelligible
But are the figures in the living Organism as such, or, if it cannot be doubted that they are in the living Organism, do they anteriorly exist in the Intelligence? If the Organism contained Intelligence, the figures would be in the first degree in the Organism. But as it is the Intelligence that contains the Organism, they are in the first degree in Intelligence. Besides, as the souls are contained in the perfect living Organism, it is one reason more for the priority of the Intelligence. But Plato says, “Intelligence sees the Ideas comprised within the perfect living Organism.” Now, if it see the Ideas contained in the perfect living Organism, Intelligence must be posterior to the latter. By the words “it sees” it should be understood that the existence of the living Organism itself is realized in this vision. Indeed, the Intelligence which sees is not something different from the Organism which is seen; but (in Intelligence) all things form but one. Only, thought has a pure and simple sphere, while the Organism has an animated sphere.
INFINITY IN NUMBER ARISES FROM POSSIBILITY OF INCREASING GREATEST IMAGINABLE PHYSICAL NUMBER.
18. Thus, in the intelligible world, every number is finite. But we can conceive of a number greater than any assigned number, and thus it is that our mind, while considering the numbers, produces the (notion of the) infinite. On the contrary, in the intelligible world, it is impossible to conceive a number greater than the Number conceived (by divine Intelligence); for on high Number exists eternally; no Number is lacking, or could ever lack, so that one could never add anything thereto.
