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We may sum up what has been said about matter as an element in the monad, or as a metaphysical principle, as follows: The existence of matter is not only not opposed to the fundamental ideas of Leibniz, but is a necessary deduction from them. It is a necessity of the principle of continuity; for this requires an infinity of monads, alike indeed in the universal law of their being, but unlike, each to each, in the specific coloring or manifestation of this law. The principle of organic unity requires that there be as many real beings as possible participating in and contributing to it. It is necessary, again, in order that there may be reciprocal influence or connection among the monads. Were it not for the material element in the monad, each would be a God; if each were thus infinite and absolute, there would be so many principles wholly independent and isolated. The principle of harmony would be violated. So much for the necessity of the material factor. As to its nature, it is a principle of passivity; that is, of ideal receptivity, of conformity to a law apparently not self-imposed, but externally laid down. This makes matter equivalent to a phenomenon; that is to say, to the having of confused, imperfect, inadequate ideas. To say that matter is correlative to confused ideas is to say that there is no recognition of its relation to self or to spirit. As Leibniz sometimes puts it, since there is an infinity of beings in the universe, each one of which exercises an ideal influence upon every other one of the series, it is impossible that this other one should realize their full meaning; they appear only as confused ideas, or as matter. To use language which Leibniz indeed does not employ, but which seems to convey his thought, the spirit, not seeing them as they really are, does not find itself in them. But matter is thus not only the confused manifestation or phenomenon of spirit, it is also its potentiality. Passivity is always relative. It does not mean complete lack of activity; that, as Leibniz says, is nothingness, and matter is not a form of nothingness. Leibniz even speaks of it as passive power. That is to say, there is an undeveloped or incomplete activity in what appears as matter, and this may be,—if we admit an infinity of time,—must be developed. When developed it manifests itself as it really is, as spirit. Confused ideas, as Leibniz takes pains to state, are not a genus of ideas antithetical to distinct; they differ only in degree or grade. They are on their way to become distinct, or else they are distinct ideas which have fallen back into an "involved" state of being. Matter, therefore, is not absolutely opposed to spirit,—on the one hand because it is the manifestation, the phenomenon, of spirit; on the other, because it is the potentiality of spirit, capable of sometime realizing the whole activity implied in it, but now latent.
Thus it is that Leibniz says that everything is "full" of souls or monads. What appears to be lifeless is in reality like a pond full of fishes, like a drop of water full of infusoria. Everything is organic down to the last element. More truly, there is no last element. There is a true infinity of organic beings wrapped up in the slightest speck of apparently lifeless matter. These illustrations, like many others which Leibniz uses, are apt to suggest that erroneous conception of the relation of monads to spirit which we were obliged, in Leibniz's name, to correct at the outset,—the idea, namely, that matter is composed, in a spatial or mechanical way, of monads. But after the foregoing explanations we can see that what Leibniz means when he says that every portion of matter is full of entelechies or souls, like a garden full of plants, is that there is an absolute continuity of spiritual principles, each having its ideal relation with every other. There is no point of matter which does not represent in a confused way the entire universe. It is therefore as infinite in its activities as the universe. In idea also it is capable of representing in distinct consciousness, or as a development of its own self-activity, each of these infinite activities.
In a word, every created or finite being may be regarded as matter or as spirit, according as it is accounted for by its external relations, as the reasons for what happen in it are to be found elsewhere than in its own explicit activity, or according as it shows clearly in itself the reasons for its own modifications, and also accounts for changes occurring in other beings. The externally conditioned is matter; the internally conditioned, the self-explanatory, is self-active, or spirit. Since all external relations are finally dependent on organic; since the ultimate source of all explanation must be that which is its own reason; since the ultimate source of all activity must be that which is self-active,—the final reason or source of matter is spirit.
We have seen the necessity and nature of matter as deductions from the fundamental principles of Leibniz. We have seen that matter is a phenomenon or manifestation of spirit in an imperfect and confused way. But why should it appear as moving, as extended, as resisting, as having cohesion, with all the concrete qualities which always mark it? Is there any connection between these particular properties of matter as physical, and its "metaphysical" or ideal character? These are the questions which now occupy us. Stated more definitely, they take the following form: Is there any essential connection between the properties of matter as a metaphysical element, and its properties as a sensible fact of experience? Leibniz holds that there is. He does not, indeed, explicitly take the ground that we can deduce a priori all the characteristics of matter as a fact of actual experience from its rational notion, but he thinks we can find a certain analogy between the two, that the sensible qualities are images or reflexes of the spiritual qualities, witnessing, so far as possible, to their origin in pure energy.
His position is as follows: that which in the monad is activity or substantial, is, in sensible matter, motion. That which in the monad is lack of a given activity, that which constitutes its subordinate position in the hierarchy of monads, is, in the sphere of material things, inertia. That which in the spiritual world is the individuality of monads, making each forever ideally distinct from every other, is, in the phenomenal realm, resistance or impenetrability. The perfect continuity of monads in the mundus intelligibilis has also its counterpart in the mundus sensibilis in the diffusion or extension of physical things.
Instead of following out this analogy directly, it will rather be found convenient to take up Leibniz's thought in its historical connection. We have already alluded to the fact that he began as a Cartesian, and that one of the first ideas which repelled him from that system of thought was the notion that the essence of matter is extension. His earliest philosophical writings, as he was gradually coming to the thoughts which thereafter dominated him, are upon this point. In general, his conclusions are as follows: If matter were extension, it would be incapable of passion or of action. Solidity, too, is a notion entirely opposed to the conception of mere extension. The idea of matter as extension contradicts some of the known laws of motion. It requires that the quantity of motion remain unchanged whenever two bodies come in contact, while as matter of fact it is the quantity of energy, that which the motion is capable of effecting, that remains unchanged; or, as he more often puts the objection, the Cartesian notion of matter requires that matter be wholly indifferent to motion, that there be nothing in it which resists motion when imparted. But, says Leibniz, there is something resisting, that to which Keppler gave the name "inertia." It is not found to be true if one body impacts upon another that the second moves without diminishing the velocity or changing the direction of the first. On the other hand, just in proportion to the size of the second body, it resists and changes the motion of the first, up to the point of causing the first to rebound if small in comparison. And when it was replied that the retardation was due to the fact that the force moving the first body had now to be divided between two, Leibniz answered that this was simply to give up the contention, and besides the notion of extension to use that of force. If extension were the essence of matter, it should be possible to deduce all the properties of matter, or at least to account for them all, from it. But since, as just seen, this does not enable us to account for any of them, since for any of its concrete qualities we have to fall back on force, it is evident where the true essence of matter is to be found.