According to the census in 1790, the number of inhabitants in New York was found to be thirty thousand one hundred and forty-eight free persons, and two thousand one hundred and eighty slaves; but at present the number is supposed to amount at least to forty thousand. The inhabitants have long been distinguished above those of all the other towns in the United States, except it be the people of Charleston, for their politeness, gaiety, and hospitality; and, indeed, in these points they are most strikingly superior to the inhabitants of the other large towns. Their public amusements consist in dancing and card assemblies, and theatrical exhibitions; for the former a spacious suite of rooms has lately been, erected. The theatre is of wood, and a most miserable edifice it is; but a new one is now building on a grand scale, which, it is thought, will be as much too large for the town as the other is too small. [Sidenote: PASSAGE TO ALBANY.] Being anxious to proceed on our journey before the season was too far advanced, and also particularly desirous of quitting New York on account of the fevers, which, it was rumoured, were increasing very fast, we took our passage for Albany in one of the sloops trading constantly on the North River, between New York and that place, and embarked on the second day of July, about two o’clock in the afternoon. Scarcely a breath of air was stirring at the time; but the tide carried us up at the rate of about two miles and a half an hour. The sky remained all day as serene as possible, and as the water was perfectly smooth, it reflected in a most beautiful manner the images of the various objects on the shore, and of the numerous vessels dispersed along the river at different distances, and which seemed to glide along, as it were, by the power of magic, for the sails, all hung down loose and motionless. The sun, setting in all his glory, added fresh beauties to this calm and peaceable scene, and permitted us for the last time to behold the distant spires of New York, illumined by his parting rays. To describe all the grand and beautiful prospects presented to the view on passing along this noble river, would be an endless talk; all the various effects that can be supposed to arise from a happy combination of wood and water, of hill and dale, are here seen in the greatest perfection. In some places the river expands to the breadth of five or six miles, in others it narrows to that of a few hundred yards, and in various parts it is interspersed with islands; in some places again its course can be traced as far as the eye can reach, whilst in others it is suddenly lost to the view, as it winds between its lofty banks; here mountains covered with rocks and trees rise almost perpendicularly out of the water; there a fine champaign country presents itself, cultivated to the very margin of the river, whilst neat farm houses and distant towns embellish the charming landscapes. [Illustration: