'M. Leibniz supposes that the soul does not distinctly know its future perceptions, _but that it perceives them confusedly_, and that _there are in each substance traces of whatever hath happened, or shall happen to it: but that an infinite multitude of perceptions hinders us from distinguishing them. The present state of each substance is a natural consequence of its preceding state. The soul, though never so simple, has always a sentiment composed of several perceptions at one time: which answers our end as well as though it were composed of pieces, like a machine. For each foregoing perception has an influence on those that follow agreeably to a law of order, which is in perceptions as well as in motions...The perceptions that are together in one and the same soul at the same time, including an infinite multitude of little and indistinguishable sentiments that are to be unfolded, we need not wonder at the infinite variety of what is to result from it in time. This is only a consequence of the representative nature of the soul, which is, to express what happens and what will happen in its body, by the connexion and correspondence of all the parts of the world_. I have but little to say in answer to this: I shall only observe that this supposition when sufficiently cleared is the right way of solving all the difficulties. M. Leibniz, through the [46] penetration of his great genius, has very well conceived the extent and strength of this objection, and what remedy ought to be applied to the main inconveniency. I do not doubt but that he will smooth the rough parts of his system, and teach us some excellent things about the nature of spirits. Nobody can travel more usefully or more safely than he in the intellectual world. I hope that his curious explanations will remove all the impossibilities which I have hitherto found in his system, and that he will solidly remove my difficulties, as well as those of Father Lami. And these hopes made me say before, without designing to pass a compliment upon that learned man, that his system ought to be looked upon as an important conquest. 'He will not be much embarrassed by this, viz. that whereas according to the supposition of the Cartesians there is but one general law for the union of spirits and bodies, he will have it that God gives a particular law to each spirit; from whence it seems to result that the primitive constitution of each spirit is specifically different from all others. Do not the Thomists say, that there are as many species as individuals in angelic nature?' Leibniz acknowledged Bayle's note in a further reply, which is written as though for publication. It was communicated to Bayle, but it was not in fact published. It is dated 1702. It may be found in the standard collections of Leibniz's philosophical works. It reads almost like a sketch for the _Theodicy_.