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Correspondence with Arnauld by Gottfried Wil Leibniz
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that the soul joined to matter does not make the latter truly one, since the matter is not really one in itself, and since the soul, as you think, gives it only an extrinsic character I reply that it is the animated substance to which this matter belongs that is really a being, and the matter which is understood as the mass in itself is only a pure phenomenon or appearance, as well-founded, however, as is space and time. It has not even those precise and determined qualities which can enable it to pass as a determined being, as I have already indicated in what precedes, because figure itself, which is the essence of a limited extended mass, is never, strictly speaking, perfectly determined in the state of nature because of the actually infinite division of the parts of matter: there is never a globe without inequalities, never a straight line without an intermingling of curves, never a curve of a certain finite nature without an intermixture of some other, and this is as true in small portions as in large, so that far from the figure being a constitutive element in the body, it is not a quality at all real and determined outside of the thought. Never can an exact surface be assigned to any body as could be done if there were atoms; I can say the same thing of size and of motion, namely, that these qualities or predicates are phenomena like colors and sounds, and although they involve a more distinct knowledge they cannot hold up under a final analysis. Consequently extended mass, when considered without entelechies, that is, as consisting only in those qualities of size and motion, is not a corporeal substance but a wholly pure phenomenon like the rainbow. It has been also recognized by philosophers that it is the substantial form which gives a definite being to matter, and those who do not pay attention to that point will never get out of the labyrinth of the composition of the continuum if they once enter: only indivisible substances and their different states are absolutely real. This Parminedes and Plato and many other ancients have indeed seen.

However, I grant that the word one can be applied to a gathering together of inanimate bodies although no substantial form unites them, just as I am able to say there is one rainbow, there is one herd. But this is a unity, phenomenal or of thought, which is not sufficient for the reality back of the phenomenon. [If we take as the matter of the corporeal substance, not its formless mass but a secondary matter which is the manifold of substances whose mass constitutes the whole body, it can be said that these substances are parts of this matter; just as those which enter into our body make a part of it. It is the same with other corporeal substances as it is with our body, which is the matter and the soul, which is the form of our substance; and I find no more difficulty in this respect than is found in the case of man, in regard to whom all are agreed upon this point. The difficulties which come up in these subjects are due, among other reasons, to the fact that we have not ordinarily a sufficiently distinct conception of the whole and of the parts, because essentially the part is nothing else than an immediate requisite for the whole and is, in a way, homogeneous with it; therefore, the parts can constitute a whole, whether there is a real unity or not. It is true that the whole, which has a real unity, may continue as the same individual in the strictest sense even when it loses or gains parts as our experience shows us. In these cases the parts are immediate requisites only

pro tempore but if, however, we understand by the term

matter something which will always be essential to the same substance we might, in the sense of certain of the Schoolmen, understand by this the primitive passive power of a substance and, in this sense, the matter would be neither extended nor divisible although it would be the principle of divisibility or of that which stands for divisibility in the substance. However, I do not wish to argue regarding the use of terms.]

3. You object that I admit substantial forms only in the case of animated bodies- a position which I do not, however, remember to have taken. Now, you continue: all organized bodies being

plura entia the forms or souls by no means suffice to constitute a being, but rather there must be several beings so that the body can be animated. I reply that supposing there is a soul or entelechy in beasts or in other corporeal substances, we must reason in regard to them as we all reason regarding man, who is a being endowed with a real unity; his soul gives him this unity although the mass of his body is divided into organs, ducts, humors, spirits, and that the parts are doubtless full of an infinity of other corporeal substances endowed with their own entelechies. As this third objection agrees in substance with the preceding the former solution will suffice.

4. You think that it is without a basis, when souls are attributed to animals, and you think that if they had souls there would be a mind, that is to say, a substance which thinks since we know only bodies and spirits and have no idea of any other substance; now, that an oyster thinks or a worm thinks, it is difficult to believe. This objection applies equally to all those who are not Cartesians. Besides the fact, however, that that cannot be entirely unreasonable, which the whole human race has always accepted, namely that animals have feelings, I think I have shown that every substance is indivisible, and that consequently every corporeal substance must have a soul or at least an entelechy which has an analogy with the soul, because otherwise the body would be only a phenomenon.

To hold that every substance which is not divisible (that is to say, in my opinion, every substance in general), is a mind and must think, appears to me incomparably more rash and more destitute of basis than the conservation of forms. We know only five senses and a certain number of metals, should we conclude that there are none other in the world? It seems more evident that nature, which loves variety, has produced other forms than those which think. If I am able to prove that there are no other figures of the second degree than those found in conic sections it is because I have a distinct idea of those lines, which enables me to reach an exact division; as, however, we have no distinct idea of thought and are not able to demonstrate that the concept of an indivisible substance coincides with that of a substance which thinks, we have no cause for being certain about it. I agree that the idea which we have of thought is clear but everything which is clear is not distinct. As Father Malebranche has already noticed, it is only by internal feeling that we recognize thought, we can recognize by feeling only the things which we have experienced, and as we have not experienced the functions of other forms we must not be astonished if we have no clear idea of them; for, we ought not to have such ideas even if it were granted that there are these forms. It is a mistake to try to employ confused ideas, however clear they may be, to prove that something cannot be; and when I pay attention to distinct ideas it seems that we can conceive that phenomena which vary or which come from several beings, can be expressed or represented in a single indivisible being, and this is sufficient to constitute a perception without any necessity of


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