It is not always easy to pronounce upon these heroes, whether they belong to history or mythology, their nation's poetry or its prose. In arriving at a conclusion we must remember that a fiction built on an idea is infinitely more tenacious of life than a story founded on fact. Further, that if a striking similarity in the legends of two such heroes be discovered under circumstances which forbid the thought that one was derived from the other, then both are probably mythical. If this is the case in not two but in half a dozen instances, then the probability amounts to a certainty, and the only task remaining is to explain such narratives on consistent mythological principles. If after sifting out all foreign and later traits, it appears that when first known to Europeans, these heroes were assigned all the attributes of highest divinity, were the imagined creators and rulers of the world, and mightiest of spiritual powers, then their position must be set far higher than that of deified men. They must be accepted as the supreme gods of the red race, the analogues in the western continent of Jupiter, Osiris, and Odin in the eastern, and whatever opinions contrary to this may have been advanced by writers and travellers must be set down to the account of that prevailing ignorance of American mythology which has fathered so many other blunders. To solve these knotty points I shall choose for analysis the culture myths of the Algonkins, the Iroquois, the Toltecs of Mexico, and the Aymaras or Peruvians, guided in my choice by the fact that these four families are the best known, and, in many points of view, the most important on the continent.