It is just as sometimes there are appearances of irregularity in mathematics which issue finally in a great order when one has finally got to the bottom of them: that is why I have already in this work observed that according to my principles all individual events, without exception, are consequences of general acts of will.
242. It should be no cause for astonishment that I endeavour to elucidate these things by comparisons taken from pure mathematics, where everything proceeds in order, and where it is possible to fathom them by a close contemplation which grants us an enjoyment, so to speak, of the vision of the ideas of God. One may propose a succession or series of numbers perfectly irregular to all appearance, where the numbers increase and diminish variably without the emergence of any order; and yet he who knows the key to the formula, and who understands the origin and the structure of this succession of numbers, will be able to give a rule which, being properly understood, will show that the series is perfectly regular, and that it even has excellent properties. One may make this still more evident in lines. A line may have twists and turns, ups and downs, points of reflexion and points of inflexion, interruptions and other variations, so that one sees neither rhyme nor reason therein, especially when taking into account only a portion of the line; and yet it may be that one can give its equation and construction, wherein a geometrician would find the reason and the fittingness of all these so-called irregularities. That is how we must look upon the irregularities constituted by monstrosities and other so-called defects in the universe.
243. In this sense one may apply that fine adage of St. Bernard (Ep. 276, Ad Eugen., III): 'Ordinatissimum est, minus interdum ordinate fieri aliquid.' It belongs to the great order that there should be some small disorder. One may even say that this small disorder is apparent only in the whole, and it is not even apparent when one considers the happiness of those who walk in the ways of order.
244. When I mention monstrosities I include numerous other apparent defects besides. We are acquainted with hardly anything but the surface of our globe; we scarce penetrate into its interior beyond a few hundred fathoms. That which we find in this crust of the globe appears to be the effect of some great upheavals. It seems that this globe was once on fire, and that the rocks forming the base of this crust of the earth are scoria remaining from a great
fusion. In their entrails are found metal and mineral products, which closely resemble those emanating from our furnaces: and the entire sea may be a kind of oleum per deliquium, just as tartaric oil forms in a damp place. For when the earth's surface cooled after the great conflagration the moisture that the fire had driven into the air fell back upon the earth, washed its surface and dissolved and absorbed the solid salt that was left in the cinders, finally filling up this great cavity in the surface of our globe, to form the ocean filled with salt water.
245. But, after the fire, one must conclude that earth and water made ravages no less. It may be that the crust formed by the cooling, having below it great cavities, fell in, so that we live only on ruins, as among others Thomas Burnet, Chaplain to the late King of Great Britain, aptly observed. Sundry deluges and inundations have left deposits, whereof traces and remains are found which show that the sea was in places that to-day are most remote from it. But these upheavals ceased at last, and the globe assumed the shape that we see. Moses hints at these changes in few words: the separation of light from darkness indicates the melting caused by the fire; and the separation of the moist from the dry marks the effects of inundations. But who does not see that these disorders have served to bring things to the point where they now are, that we owe to them our riches and our comforts, and that through their agency this globe became fit for cultivation by us. These disorders passed into order. The disorders, real or apparent, that we see from afar are sunspots and comets; but we do not know what uses they supply, nor the rules prevailing therein. Time was when the planets were held to be wandering stars: now their motion is found to be regular. Peradventure it is the same with the comets: posterity will know.
246. One does not include among the disorders inequality of conditions, and M. Jacquelot is justified in asking those who would have everything equally perfect, why rocks are not crowned with leaves and flowers? why ants are not peacocks? And if there must needs be equality everywhere, the poor man would serve notice of appeal against the rich, the servant against the master. The pipes of an organ must not be of equal size. M. Bayle will say that there is a difference between a privation of good and a disorder; between a disorder in inanimate things, which is purely metaphysical, and a disorder in rational creatures, which is composed of crime and
sufferings. He is right in making a distinction between them, and I am right in combining them. God does not neglect inanimate things: they do not feel, but God feels for them. He does not neglect animals: they have not intelligence, but God has it for them. He would reproach himself for the slightest actual defect there were in the universe, even though it were perceived of none.
247. It seems M. Bayle does not approve any comparison between the disorders which may exist in inanimate things and those which trouble the peace and happiness of rational creatures; nor would he agree to our justifying the permission of vice on the pretext of the care that must be taken to avoid disturbing the laws of motion. One might thence conclude, according to him (posthumous Reply to M. Jacquelot, p. 183), 'that God created the world only to display his infinite skill in architecture and mechanics, whilst his property of goodness and love of virtue took no part in the construction of this great work. This God would pride himself only on skill; he would prefer to let the whole human kind perish rather than suffer some atoms to go faster or more slowly than general laws require.' M. Bayle would not have made this antithesis if he had been informed on the system of general harmony which I assume, which states that the realm of efficient causes and that of final causes are parallel to each other; that God has no less the quality of the best monarch than that of the greatest architect; that matter is so disposed that the laws of motion serve as the best guidance for spirits; and that consequently it will prove that he has attained the utmost good possible, provided one reckon the metaphysical, physical and moral goods together.
248. But (M. Bayle will say) God having power to avert innumerable evils by one small miracle, why did he not employ it? He gives so much extraordinary help to fallen men; but slight help of such a kind given to Eve would have prevented her fall and rendered the temptation of the serpent ineffective. I have sufficiently met objections of this sort with this general answer, that God ought not to make choice of another universe since he has chosen the best, and has only made use of the miracles necessary thereto. I had answered M. Bayle that miracles change the natural order of the universe. He replies, that that is an illusion, and that the miracle of the wedding at Cana (for instance) made no change in the air of the room, except that instead of receiving