THE QUARTERLIES.--We have before us the last North-American, American Quarterly, and New-York Reviews, and should be gratified to afford our readers a taste of their several contents; but the tyranny of space forbids other than a brief reference to some of their more prominent papers. The '_New-York_' has an admirable article upon the writings of JEAN PAUL RICHTER, and a laughable and well-reasoned satire upon 'Dietetic Charlatanry,' or the 'Modern Ethics of Eating.' In some of the short critical notices, there is less research, and more flippancy, or mere _ipse dixit_, than might reasonably have been expected from such a quarter. The number is a good one, natheless, although inferior to its predecessor. Miss Martineau's 'Society in America,' Lockhart's Life of Scott, the Military Academy at West Point, and the poems of Grenville Mellen, are among the reviews of the _American Quarterly_, which is a large as well as very able number. In the _North-American_, that philosopher in petticoats, Miss Martineau, is most happily served up. The irony is keen but smooth, and the spirit mild, though unflinching. Gallantry has nothing to do with such a subject. The 'Palmyra Letters' are reviewed with discrimination, and high but just praise. Of the existence of 'Miriam, a Dramatic Poem,' we are here for the first time informed; but the production can scarcely remain long unknown to the American public. We may refer more in detail to these able American periodicals, in a subsequent number.

ANIMAL MAGNETISM.--But for the fact that COL. STONE's Letter on Animal Magnetism, containing an account of a remarkable interview between the author and Miss LORAINA BRACKETT, of Providence, (R. I.,) while in a state of somnambulism, is the theme of conversation and newspaper comment, in every section of the country, we should be tempted to occupy three or four of these pages with the extraordinary facts therein narrated. As it is, we shall simply run the risk of being the first to apprize some half dozen American, and an hundred or two foreign readers, that the work records, in easy and exciting detail, an imaginary visit of Miss BRACKETT to this city, while in a state of somnambulism, portions of which she describes with astonishing accuracy; that she accompanies the author to his own house, where she describes, with wonderful minuteness, localities, furniture, pictures, etc.--and all this, without ever having been in New-York in her life, or hearing or knowing any thing in relation to the scenes and objects visible to her mind's eye! We are not believers in animal magnetism--oh, no! Yet we are not exactly skeptics, either. A '_state of betweenity_' aptly expresses our situation in regard to these strange matters.

The Knickerbocker, Vol. 10, No. 5, November 1837 — Part 101