I shall not enter at present into any very elaborate discussion. I shall merely detail, in a concise manner, the object and result of my inquiries, so as to assert my claim to a discovery of some importance in a philological and historical point of view: which was announced as early as 1828 in some journals (three letters to Mr. McCulloch on the American nations), but not properly illustrated. Their full development would require a volume, like that of yours on the Egyptian antiquities, and may follow this perhaps at some future time. It may be needful to prefix the following principles as guides to my researches, or results of my inquiries:— 1. America has been the land of false systems; all those made in Europe on it are more or less vain and erroneous. 2. The Americans were equal in antiquity, civilization, and sciences, to the nations of Africa and Europe—like them, the children of the Asiatic nations. 3. It is false that no American nations had systems of writing, glyphs, and letters. Several had various modes of perpetuating ideas. 4. There were several such graphic systems in America to express ideas, all of which find equivalents in the east continent. 5. They may be ranged in twelve series, proceeding from the most simple to the most complex. _1st Series._—Pictured symbols or glyphs of the Toltecas, Aztecas, Huaztecas, Skeres, Panos, &c.; similar to the first symbols of the Chinese, invented by Tien-hoang, before the flood and earliest Egyptian glyphs. _2d Series._—Outlines of figures or abridged symbols and glyphs, expressing words or ideas, used by almost all the nations of North and South America, even the most rude; similar to the second kind of Egyptian symbols, and the tortoise letters brought to China by the _Longma_ (dragon and horse) nation of barbarous horsemen, under _Sui-gin_. _3d Series._—Quipos or knots on strings used by the Peruvians and several other South American nations; similar to the third kind of Chinese glyphs introduced under _Yong-Ching_, and used also by many nations of Africa. _4th Series._—Wampums, or strings of shells and beads, used by many nations of North America; similar to those used by some ancient or rude nations in all parts of the world, as tokens of ideas. _5th Series._—Runic glyphs or marks, and notches on twigs or lines, used by several nations of North America; consimilar to the Runic glyphs of the Celtic and Teutonic nations. _6th Series._—Runic marks and dots, or graphic symbols, not on strings nor lines, but in rows, expressing words or ideas; used by the ancient nations of North America and Mexico, the Talegas, Aztecas, Natchez, Powhatans, Tuscaroras, &c., and also the Muhizcas of South America; similar to the ancient symbols of the Etruscans, Egyptians, Celts, &c., and the _Ho-tu_ of the Chinese, invented by _Tsang-hie_, called also the _Ko-teu-chu_ letters, which were in use in China till 827 before our era.