... populos umbrosa creavit

Fraxinus, et foeta viridis puer excidit alno?

But with the dimensions of matter it is not thus: the ternary number is determined for it not by the reason of the best, but by a geometrical necessity, because the geometricians have been able to prove that there are only three straight lines perpendicular to one another which can intersect at one and the same point.

Nothing more appropriate could have been chosen to show the difference there is between the moral necessity that accounts for the choice of wisdom and the brute necessity of Strato and the adherents of Spinoza, who deny to God understanding and will, than a consideration of the difference existing between the reason for the laws of motion and the reason for the ternary number of the dimensions: for the first lies in the choice of the best and the second in a geometrical and blind necessity.

352. Having spoken of the laws of bodies, that is, of the rules of motion, let us come to the laws of the union between body and soul, where M. Bayle believes that he finds again some vague indifference, something absolutely arbitrary. Here is the way he speaks of it in his Reply (vol. II, ch. 84, p. 163): 'It is a puzzling question whether bodies have some natural property of doing harm or good to man's soul. If one answers yes, one plunges into an insane labyrinth: for, as man's soul is an immaterial substance, one will be bound to say that the local movement of certain bodies is an efficient cause of the thoughts in a mind, a statement contrary to the most obvious notions that philosophy imparts to us. If one answers no, one will be constrained to admit that the influence of our organs upon our thoughts depends neither upon the internal qualities of matter, nor upon the laws of motion, but upon an arbitrary institution of the creator. One must then admit that it depended altogether upon God's freedom to combine particular thoughts of our soul with particular modifications of our body, even when he had once established all the laws for the action of bodies one upon another. Whence it results that there is in the universe no portion of matter which by its proximity can harm us, save when God wills it; and consequently, that the earth is as capable as any other place of being the abode of the happy man.... In short it is evident that there is no need, in order to prevent the wrong choices of freedom, to transport man outside the earth. God could do on earth with regard to all the acts of the will what he does in respect of the good works of the predestined when he settles their outcome, whether by efficacious or by sufficient grace: and that grace, without in any way impairing freedom, is always followed by the assent of the soul. It would be as easy for him on earth as in heaven to bring about the determination of our souls to a good choice.'

353. I agree with M. Bayle that God could have so ordered

bodies and souls on this globe of earth, whether by ways of nature or by extraordinary graces, that it would have been a perpetual paradise and a foretaste of the celestial state of the blessed. There is no reason why there should not be worlds happier than ours; but God had good reasons for willing that ours should be such as it is. Nevertheless, in order to prove that a better state would have been possible here, M. Bayle had no need to resort to the system of occasional causes: it abounds in miracles and in hypotheses for which their very originators confess there is no justification; and these are two defects such as will most of all estrange a system from true philosophy. It is a cause for surprise, in the first place, that M. Bayle did not bethink himself of the System of Pre-established Harmony which he had examined before, and which for this matter was so opportune. But as in this system all is connected and harmonious, all following from reasons and nothing being left incomplete or exposed to the rash discretion of perfect indifference, it seems that it was not pleasing to M. Bayle: for he was here somewhat biassed in favour of such indifference, which, notwithstanding, he contested so strongly on other occasions. He was much given to passing from one extreme to the other, not with an ill intention or against his own conviction, but because there was as yet nothing settled in his mind on the question concerned. He contented himself with whatever suited him for frustrating the opponent he had in mind, his aim being only to perplex philosophers, and show the weakness of our reason; and never, in my opinion, did either Arcesilaus or Carneades argue for and against with more eloquence and more wit. But, after all, one must not doubt for the sake of doubting: doubts must serve us as a gangway to the truth. That is what I often said to the late Abbé Foucher, a few specimens of whose work prove that he designed to do with regard to the Academicians what Lipsius and Scioppius had done for the Stoics, and M. Gassendi for Epicurus, and what M. Dacier has so well begun for Plato. It must not be possible for us to offer true philosophers such a reproach as that implied in the celebrated Casaubon's answer to those who, in showing him the hall of the Sorbonne, told him that debate had been carried on there for some centuries. What conclusions have been reached? he said to them.

354. M. Bayle goes on (p. 166): 'It is true that since the laws of motion were instituted in such forms as we see now in the world, it is an inevitable necessity that a hammer striking a nut should

break it, and that a stone falling on a man's foot should cause some bruise or some derangement of its parts. But that is all that can follow the action of this stone upon the human body. If you want it in addition to cause a feeling of pain, then one must assume the institution of a code other than that one which regulates the action and reaction of bodies one upon another; one must, I say, have recourse to the particular system of the laws of union between the soul and certain bodies. Now as this system is not of necessity connected with the other, the indifference of God does not cease in relation to the one immediately upon his choice of the other. He therefore combined these two systems with a complete freedom, like two things which did not follow naturally the one from the other. Thus it is by an arbitrary institution he has ordained that wounds in the body should cause pain in the soul which is united to this body. It therefore only rested with him to have chosen another system of union between soul and body: he was therefore able to choose one in accordance wherewith wounds only evoke the idea of the remedy and an intense but agreeable desire to apply it. He was able to arrange that all bodies which were on the point of breaking a man's head or piercing his heart should evoke a lively sense of danger, and that this sense should cause the body to remove itself promptly out of reach of the blow. All that would have come to pass without miracles, since there would have been general laws on this subject. The system which we know by experience teaches us that the determination of the movement of certain bodies changes in pursuance of our desires. It was therefore possible for a combination to be effected between our desires and the movement of certain bodies, whereby the nutritive juices were so modified that the good arrangement of our organs was never affected.'

355. It is evident that M. Bayle believes that everything accomplished through general laws is accomplished without miracles. But I have shown sufficiently that if the law is not founded on reasons and does not serve to explain the event through the nature of things, it can only be put into execution by a miracle. If, for example, God had ordained that bodies must have a circular motion, he would have needed perpetual miracles, or the ministry of angels, to put this order into execution: for that is contrary to the nature of motion, whereby the body naturally abandons the circular line to continue in the tangent straight line if nothing