Having thus briefly introduced my reader to the world, and given him some idea of its form and situation, he will naturally be curious to know from whence it came, and how it was created. And, indeed, the clearing up of these points is absolutely essential to my history, inasmuch as if this world had not been formed, it is more than probable that this renowned island, on which is situated the city of New York, would never have had an existence. The regular course of my history, therefore, requires that I should proceed to notice the cosmogony or formation of this our globe. And now I give my readers fair warning that I am about to plunge, for a chapter or two, into as complete a labyrinth as ever historian was perplexed withal; therefore, I advise them to take fast hold of my skirts, and keep close at my heels, venturing neither to the right hand nor to the left, lest they get bemired in a slough of unintelligible learning, or have their brains knocked out by some of those hard Greek names which will be flying about in all directions. But should any of them be too indolent or chicken-hearted to accompany me in this perilous undertaking, they had better take a short cut round, and wait for me at the beginning of some smoother chapter. Of the creation of the world, we have a thousand contradictory accounts; and though a very satisfactory one is furnished us by divine revelation, yet every philosopher feels himself in honor bound to furnish us with a better. As an impartial historian I consider it my duty to notice their several theories, by which mankind have been so exceedingly edified and instructed. Thus it was the opinion of certain ancient sages, that the earth and the whole system of the universe was the Deity himself;[10] a doctrine most strenuously maintained by Zenophanes and the whole tribe of Eleatics, as also by Strabo and the sect of peripatetic philosophers. Pythagoras likewise inculcated the famous numerical system of the monad, dyad, and triad, and by means of his sacred quaternary elucidated the formation of the world, the arcana of nature, and the principles both of music and morals.[11] Other sages adhered to the mathematical system of squares and triangles; the cube, the pyramid, and the sphere; the tetrahedron, the octahedron, the icosahedron, and the dodecahedron.[12] While others advocated the great elementary theory which refers the construction of our globe and all that it contains to the combinations of four material elements: air, earth, fire, and water, with the assistance of a fifth, an immaterial and vivifying principle.