The second step gained by the Egyptians was when the picture became used as a symbol of some quality or characteristic. It can be readily seen how a hawk with bright eye and lofty flight might be selected as a symbol of divinity and royalty, and that the crocodile should denote darkness, while a slightly further step in metaphysical symbolism made the ostrich feather, from the equality of its filaments, typical of truth. It is evident from examples given in the present paper that the North American tribes at the time of the Columbian discovery had entered upon this second step of picture-writing, though with marked inequality between tribes and regions in advance therein. None of them appear to have reached such proficiency in the expression of connected ideas by picture as is shown in the sign-language existing among some of them, in which even conjunctions and prepositions are indicated. Still many truly ideographic pictures are known. A consideration relative to the antiquity of mystic symbolism, and its position in the several culture-periods, arises in this connection. It appears to have been an outgrowth of human thought, perhaps in the nature of an excrescence, useful for a time, but abandoned after a certain stage of advancement. A criticism has been made on the whole subject of pictography by Dr. Richard Andree, who, in his work, Ethnographische Parallelen und Vergleiche, Stuttgart, 1878, has described and figured a large number of examples of petroglyphs, a name given by him to rock-drawings and adopted by the present writer. His view appears to be that these figures are frequently the idle marks which, among civilized people, boys or ignorant persons cut with their pen-knives on the desks and walls of school-rooms, or scrawl on the walls of lanes and retired places. From this criticism, however, Dr. Andree carefully excludes the pictographs of the North American Indians, his conclusion being that those found in other parts of the world generally occupy a transition stage lower than that conceded for the Indians. It is possible that significance may yet be ascertained in many of the characters found in other regions, and perhaps this may be aided by the study of those in North America; but no doubt should exist that the latter have purpose and meaning. Any attempt at the relegation of such pictographs as are described in the present paper, and have been the subject of the study of the present writer, to any trivial origin can be met by a thorough knowledge of the labor and pains which were necessary in the production of some of the petroglyphs described.