It was hoped that the powers of this child would develop by education; and for this purpose he was placed in school and trained in objective methods of mathematical calculation. It was believed that when his mind became mature he would be able to impart to others the process by which his calculations were made. But his friends were doomed to disappointment. His powers did not improve by objective training. On the contrary, they deteriorated just in proportion to his efforts in that direction, and his pupils derived no benefit from the extraordinary faculties with which he was endowed. This has been the invariable rule in such cases. A few years ago a gentleman travelled through this country teaching arithmetic. He was known as the "lightning calculator." His powers were indeed marvellous. He could add a column of as many numbers as could be written on a sheet of legal cap, by casting an instantaneous glance upon the page; but he succeeded no better as a teacher than thousands of others who could not add a column of numbers without reading every figure by the usual laborious, objective process. He could give no explanation of his powers other than that he possessed extraordinary quickness of vision. But any one who is sufficiently acquainted with the elements of optical laws to be aware that in the light of a flash of lightning a drop of falling rain appears to be suspended motionless in the air, knows that objective vision is not capable of such rapid transition as to enable one to see at a glance each particular figure in a column of a hundred numbers. When to this is added the labor of calculating the relation and aggregate values of the numbers, the conclusion is inevitable that such powers are not given to our objective senses, but must be inherent in the human soul, and beyond the range of objective explanation or comprehension. Musical prodigies furnish further illustrations of the principle involved. Of these the most remarkable is the negro idiot, known as Blind Tom. This person was not only blind from birth, but was little above the brute creation in point of objective intelligence or capacity to receive objective instruction. Yet his musical capacity was prodigious. Almost in his infancy it was discovered that he could reproduce on the piano any piece of music that he had ever heard. A piece of music, however long or difficult, once heard, seemed to be fixed indelibly in his memory, and usually could be reproduced with a surprising degree of accuracy. His capacity for improvisation was equally great, and a discordant note rarely, if ever, marred the harmony of his measures. These well known facts of Blind Tom's history furnish complete illustrations,--first of the perfection of subjective memory; and second, of the inherent power of the subjective mind to grasp the laws of harmony of sounds; and that, too, independently of objective education.