13. But how account, at this, for its extension over all the heavens and all living beings?
There is no such extension. Sense-perception, by insistence upon which we doubt, tells of Here and There; but reason certifies that the Here and There do not attach to that principle; the extended has participated in that kosmos of life which itself has no extension.
Clearly no participant can participate in itself; self-participation would be merely identity. Body, then, as participant does not participate in body; body it has; its participation must be in what is not body. So too magnitude does not participate in magnitude; it has it: not even in addition of quantity does the initial magnitude participate in magnitude: the two cubits do not themselves become three cubits; what occurs is that an object totalling to a certain quantity now totals to another: for magnitude to participate in magnitude the actual two cubits must themselves become the new three [which cannot occur].
If, then, the divided and quantitatively extended is to participate in another Kind, is to have any sort of participation, it can participate only in something undivided, unextended, wholly outside of quantity. Therefore, that which is to be introduced by the participation must enter as itself an omnipresent indivisible.
This indivisibility must, of course, not be taken in any sense of littleness: littleness would be still divisible, could not cover the extension of the participant and could not maintain integral presence against that expansion. Nor is it the indivisibility of a geometric point: the participant mass is no single point but includes an infinity of points; so that on the theory this principle must be an infinity of points, not a simultaneous entire, and so, again, will fail to cover the participant.
If, then, the participant mass in its entirety is to contain that principle entire, the universe must hold that one soul present at its every point.