Then, returning to himself, let man consider his own being compared with all that is; let him regard himself as wandering in this remote province of nature; and from the little dungeon in which he finds himself lodged, I mean the universe, let him learn to set a true value on the earth, on its kingdoms, its cities, and on himself.

What is a man in the infinite? But to show him another prodigy no less astonishing, let him examine the most delicate things he knows. Let him take a mite which in its minute body presents him with parts incomparably more minute; limbs with their joints, veins in the limbs, blood in the veins, humours in the blood, drops in the humours, vapours in the drops; let him, again dividing these last, exhaust his power of thought; let the last point at which he arrives be that of which we speak, and he will perhaps think that here is the extremest diminutive in nature. Then I will open before him therein a new abyss. I will paint for him not only the visible universe, but all that he can conceive of nature's immensity in the enclosure of this diminished atom. Let him therein see an infinity of universes of which each has its firmament, its planets, its earth, in the same proportion as in the visible world; in each earth animals, and at the last the mites, in which he will come upon all that was in the first, and still find in these others the same without end and without cessation; let him lose himself in wonders as astonishing in their minuteness as the others in their immensity; for who will not be amazed at seeing that our body, which before was imperceptible in the universe, itself imperceptible in the bosom of the whole, is now a colossus, a world, a whole, in regard to the nothingness to which we cannot attain.

Whoso takes this survey of himself will be terrified at the thought that he is upheld in the material being, given him by nature, between these two abysses of the infinite and nothing, he will tremble at the sight of these marvels; and I think that as his curiosity changes into wonder, he will be more disposed to contemplate them in silence than to search into them with presumption.

For after all what is man in nature? A nothing in regard to the infinite, a whole in regard to nothing, a mean between nothing and the whole; infinitely removed from understanding either extreme. The end of things and their beginnings are invincibly hidden from him in impenetrable secrecy, he is equally incapable of seeing the nothing whence he was taken, and the infinite in which he is engulfed.

What shall he do then, but discern somewhat of the middle of things in an eternal despair of knowing either their beginning or their end? All things arise from nothing, and tend towards the infinite. Who can follow their marvellous course? The author of these wonders can understand them, and none but he.

Of these two infinites in nature, the infinitely great and the infinitely little, man can more easily conceive the great.

Because they have not considered these infinities, men have rashly plunged into the research of nature, as though they bore some proportion to her.

It is strange that they have wished to understand the origin of all that is, and thence to attain to the knowledge of the whole, with a presumption as infinite as their object. For there is no doubt that such a design cannot be formed without presumption or without a capacity as infinite as nature.

If we are well informed, we understand that nature having graven her own image and that of her author on all things, they are almost all partakers of her double infinity. Thus we see that all the sciences are infinite in the extent of their researches, for none can doubt that geometry, for instance, has an infinite infinity of problems to propose. They are also infinite in the number and in the nicety of their premisses, for it is evident that those which are finally proposed are not self-supporting, but are based on others, which again having others as their support have no finality.

But we make some apparently final to the reason, just as in regard to material things we call that an indivisible point beyond which our senses can no longer perceive any thing, though by its nature this also is infinitely divisible.