Truly trained, the girl will have as much _reason_ as the boy; and hers will be more intuitive, whilst his may be more formal and severe in its _reasoning_. Strength of character will be hers, not, perhaps, so much the stern sense of justice that most marks the masculine conscience, as the full and earnest affection that adds mercy to justice and love to duty. Force of will shall be hers, not perhaps the iron will of man, but what is quite as well, and in its place better, the heroic patience that conquers evil by enduring it. The result shall be a disciplined, sagacious intellect without masculine hardness, delicate sensibility without imbecile listlessness, active energy without moping drudgery, a combination of powers and graces that wins homage from every heart. I would not adopt any definition of woman's powers less generous than the hint of nature and the will of God. Rather allow the largest scope to the development of every gift, and trust the feminine instinct to vindicate its own prerogative, whatever be the talent called into requisition. Marked cases show that the feminine mind may sometimes have the faculty for the severest mathematical reasoning, and England and America have been taught this fact by the philosophical achievements of women who are an honor alike to the delicacy and the intellect of their sex. Full well do I remember a visit to William Mitchell the Nantucket astronomer, years ago, when I saw that the father and the daughter had each a station and a set of instruments for taking simultaneous observations of the heavens. Since that day a gold medal from the king of Denmark has marked the daughter's triumph as the discoverer of a new comet. I am not ashamed to say, that at the time of the visit I had been several days puzzling over a difficult sum in algebra, and that, with a few touches of her pencil, the young lady made clear as day what I had but suspected, that the difficulty was in an error of the text-book. She evidently understood Arbogast's polynomial theorem better than I did.