I exist, I think, I feel grief--is all that as certain as a geometrical truth? Yes, skeptical as I am, I avow it. Why? It is that these truths are proved by the same principle that it is impossible for a thing to exist and not exist at the same time. I cannot at the same time feel and not feel. A triangle cannot at the same time contain a hundred and eighty degrees, which are the sum of two right angles, and not contain them. The physical certainty of my existence, of my identity, is of the same value as mathematical certainty, although it is of a different kind. It is not the same with the certainty founded on appearances, or on the unanimous testimony of mankind. But how, you will say to me, are you not certain that Pekin exists? Have you not merchandise from Pekin? People of different countries and different opinions have vehemently written against one another while preaching the truth at Pekin; then are you not assured of the existence of this town? I answer that it is extremely probable that there may be a city of Pekin but I would not wager my life that such a town exists, and I would at any time wager my life that the three angles of a triangle are equal to two right angles. In the "_Dictionnaire Encyclopédique_" a very pleasant thing appears. It is there maintained that a man ought to be as certain that Marshal Saxe rose from the dead, if all Paris tells him so, as he is sure that Marshal Saxe gained the battle of Fontenoy, upon the same testimony. Pray observe the beauty of this reasoning: as I believe all Paris when it tells me a thing morally possible, I ought to believe all Paris when it tells me a thing morally and physically impossible. Apparently the author of this article has a disposition to be risible; as to ourselves who have only undertaken this little dictionary to ask a few questions, we are very far from possessing this very extensive certainty. CHAIN OF CREATED BEINGS. The gradation of beings rising from the lowest to the Great Supreme--the scale of infinity--is an idea that fills us with admiration, but when steadily regarded this phantom disappears, as apparitions were wont to vanish at the crowing of the cock. The imagination is pleased with the imperceptible transition from brute matter to organized matter, from plants to zoophytes, from zoophytes to animals, from animals to men, from men to genii, from these genii, clad in a light aërial body, to immaterial substances of a thousand different orders, rising from beauty to perfection, up to God Himself. This hierarchy is very pleasing to young men who look upon it as upon the pope and cardinals, followed by the archbishops and bishops, after whom are the vicars, curates and priests, the deacons and subdeacons, then come the monks, and the capuchins bring up the rear.