[Footnote 1: In regard to the dependence of the world on God, there is a certain conflict noticeable in Leibnitz between the metaphysical interests involved in the substantiality of individual beings, together with the moral interests involved in guarding against fatalism, and the opposing interests of religion. On the one side, creation is for him only an actualization of finished, unchangeable possibilities, on the other, he teaches with the mediaeval philosophers that this was not accomplished by a single act of realization, that the world has need of conservation, i.e., of continuous creation.]
This law is the special expression of a more general one, the principle of sufficient reason, which Leibnitz added, as of equal authority, to the Aristotelian laws of thought. Things or events are real (and assertions true) when there is a sufficient reason for their existence, and for their determinate existence. The principium rationis sufficientis governs our empirical knowledge of contingent truths or truths of fact, while, on the other hand, the pure rational knowledge of necessary or eternal (mathematical and metaphysical) truths rests on the principium contradictionis. The principle of contradiction asserts, that is, whatever contains a contradiction is false or impossible; whatever contains no contradiction is possible; that whose opposite contains a contradiction is necessary. Or positively formulated as the principle of identity, everything and every representative content is identical