This brings us to the relation of God to the world, or to an account of the creating activity of God. This may be considered to be metaphysically, logically, or morally necessary. To say that it is metaphysically necessary is to say that it is the result of the divine essence, that it would imply a contradiction of the very being of God for the world not to be and not to be as it is. In short, the world becomes a mere emanation of power, since, as we have just learned, power and being are correlative. But this leaves out of account the divine understanding. Not all possible worlds emanate from God's being, but there is recognition of them and of their relations to one another. Were the world to proceed from the divine understanding alone, however, it would be logically necessary,--that is, it would bear the same relation to his understanding that necessary truths do. Its opposite would imply contradiction, not indeed of the being of God, but of his understanding. But the will of God plays the all-important part of choosing among the alternative worlds presented by reason, each of which is _logically_ possible. One of these worlds, although standing on the same intellectual plane as the others, is _morally_ better,--that is, it involves greater happiness and perfection to the creatures constituting it. God is guided then by the idea of the better (and this is the best possible) world. His will is not arbitrary in creating: it does not work by a _fiat_ of brute power. But neither is it fatalistic: it does not work by compulsory necessity. It is both free and necessary; free, for it is guided by naught excepting God's own recognition of an end; necessary, for God, being God, cannot _morally_ act otherwise than by the principle of the better,--and this in contingent matters is the best. Hence the optimism of Leibniz, to which here no further allusion can be made. Since the best is precisely God himself, it is evident that the created world will have, _as far as possible_, his perfections. It would thus be possible to deduce from this conception of God and his relation to the world all those characteristics of the Leibnizian monadology which we formerly arrived at analytically. God is individual, but with an infinite comprehensiveness. Each substance repeats these properties of the supreme substance. There is an infinity of such substances, in order that the world may as perfectly as possible mirror the infinity of God. Each, so far as in it lies, reflects the activity of God; for activity is the very essence of perfection. And thus we might go through with the entire list of the properties of the monad.