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Correspondence with Arnauld by Gottfried Wil Leibniz
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matters are too remote and speculative for me. I send you also four other writings that you may be interested in, and remain,

Yours very affectionately,

E.

XIII: Draft of the letter of Nov. 28- Dec. 8 to Arnauld

The hypothesis of concomitance is a consequence of the conception which I have of substance, for, in my opinion, the individual concept of a substance involves all that will ever happen to it, and it is in this that complete beings differ from those which are not complete. Now, since the soul is an individual substance it must be that its concept, idea, essence or nature involves all that will happen to it, and God, who sees it perfectly, sees there what it will do or endure forever and all the thoughts which it will have. Therefore, since our ideas are only the consequences of the nature of the soul and are born in it by virtue of its concept, it is useless to ask regarding the influence of another particular substance upon it. This aside from the fact that this influence would be absolutely inexplicable. It is true that certain thoughts come to us when there are certain bodily movements and that certain bodily movements take place when we have certain thoughts, but this is because each substance expresses the whole universe in its fashion and this expression of the universe which brings about a movement in the body is perhaps a pain in regard to the soul. It is customary to attribute the action to that substance whose expression is more distinct and which is called the cause, just as when a body is swimming in water there are an infinity of movements of the particles of water in such a way that the place which the body leaves may always be filled up in the shortest way. This is why we say that this body is the cause of the motion, because by its means we can explain clearly what happens. But if we examine the physics and the reality of the motion, it is quite as easy to suppose that the body is in repose and that all the rest is in motion conformably to this hypothesis, since every movement in itself is only relative, that is to say, is a change of position which cannot be assigned to any one thing with mathematical precision; but the change is attributed to that body by means of which the whole is most clearly explained, In fact, if we take all phenomena, great or small, there is only one single hypothesis which serves to explain everything clearly. We can therefore say, that, although this body is not an efficient physical cause of these effects, its idea is at least, so to speak, the final cause of them, or, if you prefer, a model cause *003 of them in the understanding of God; because, if we wish to ask what reality there is in motion we may imagine that God desires expressly to produce all the changes of position in the universe exactly the same as that ship was producing them while going through the water. Is it not true that it happens exactly in the same way, for it is not possible to assign any real difference? If we speak with metaphysical precision there is no more reason for saying that the ship presses upon the water in order to make that large number of circular movements because of which the water takes the place of the ship, than to say that the water itself exerts pressure to make all these circles and that it therefore causes the ship to move conformably. Unless we say, however, that God expressly desired to produce such a great number of movements so well fitted together, we do not give any real cause for it, and as it is not reasonable to have recourse to divine activity for explaining a particular detail, we have recourse to the ship, notwithstanding the fact that, in the last analysis, the agreement of all the phenomena of different substances comes about only because they are productions of the same cause, that is to say, of God. Therefore, each individual substance expresses the resolves which God made in regard to the whole universe. It is therefore for the same reason that pain is attributed to changes in the body, because thus we reach something distinct and this is enough for us to produce the phenomena or to prevent them. In order not to advance anything that is unnecessary, however, I say that we only think, and also that we produce only thoughts, and that the phenomena are only thoughts. As, however, all our thoughts are not effective and do not serve to produce for us others of a certain nature, and since it is impossible for us to work out the mystery of the universal connection between phenomena, we must pay attention by means of experience to those which have produced thoughts before, and this is the way the senses do and this is what is called external action, outside of us.

The hypothesis of the concomitance or of the agreement of substances among themselves, follows from what I have said regarding each individual substance: that it involves, forever, all the accidents that will happen to it and that it expresses the whole universe in its manner. Thus whatever is expressed in the body by a movement or by a change of position, is perhaps expressed in the soul by a sense of pain. Since pains are only thoughts, we must not be surprised if they are the consequences of a substance whose nature it is to think. If it happens constantly that certain thoughts are joined to certain movements, this is because God has created from the very start all substances in such a way that in the sequence, all their phenomena shall correspond without any need for a mutual physical influence. This latter does not even appear explicable. Perhaps M. Descartes would rather have accepted this concomitance than the hypothesis of occasional causes, for so far as I know, he has never expressed himself upon the matter. I am pleasantly surprised, M., that St. Augustine, as you say, already held some such view, when he maintained that pain is nothing else than the grief which the soul has when its body is ill disposed. This great man surely thought far into things. The soul, however, feels that its body is ill disposed, not through an influence of the body upon the soul, nor by a particular intervention of God who carries the information, but because it is the nature of the soul to express whatever happens in the body, having been created from the start in such a way that the sequence of its thoughts will agree with the sequence of the movements. The same can be said of the motion of my hand upward. It will be asked what it is that influences the spirits to enter into the nerves of a certain material; I reply that it is as much the impressions made by the objects, in virtue of the ordinary laws of motion, as it is the disposition of the spirits or even of the nerves. By the general inter-agreement of things, however, all these dispositions happen only when there is at the same time in the soul the will to which we have been accustomed to attribute the operation. Thus, the souls change nothing in the ordering of the body nor do the bodies effect changes in the ordering of the souls (and it is for this reason that forms should not be employed to explain the phenomena of nature). One soul changes nothing in the sequence of thought of another soul, and in general one particular substance has no physical influence upon another; such influence would besides be


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