No one without an objective education can, by the development of the subjective faculties alone, become a great poet, or a great artist, or a great orator, or a great statesman. But he may be a great mathematician or a great musician, independently of objective education or training, by the development of the subjective faculties alone. Many facts are on record which demonstrate this proposition. Hundreds of instances might be cited showing to what a prodigious extent the mathematical and musical faculties can be developed in persons, not only without objective training, but, in some instances, without a brain capable of receiving any considerable objective education. Mathematical prodigies of the character mentioned are numerous; one of the most remarkable was the famous Zerah Colburn. The following account of his early career, published when he was yet under eight years of age, is taken from the "Annual Register" of 1812, an English publication, and will serve to illustrate the proposition: "The attention of the philosophical world has been lately attracted by the most singular phenomenon in the history of human mind that perhaps ever existed. It is the case of a child, under eight years of age, who, without any previous knowledge of the common rules of arithmetic, or even of the use and power of the Arabic numerals, and without having given any attention to the subject, possesses, as if by intuition, the singular faculty of solving a great variety of arithmetical questions by the mere operation of the mind, and without the usual assistance of any visible symbol or contrivance.