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n parted," but that is nothing to the speed with which a fool and his education are parted! Now, I am going to take the chief subjects you learn, and show the higher things which I want you to gain when you are doing those lessons, and _you_ must want it too, or my wanting it will not do much good. You do not learn Mathematics simply that you may know so many books of Euclid, and so many pages of Algebra; it is to give you power over your minds, to enable you to follow a chain of reasoning, to teach you to keep up continuous attention, and not to jump at conclusions. I do not say you cannot learn these things except by Mathematics; you might do it by Logic, and I know many people who have done it by mother-wit and the teaching of life; but when a person is inclined to trust to his mother-wit, and to neglect educational advantages because he can do without them, I for one feel inclined to doubt whether his share of mother-wit can be very large, after all. The people I have known who are clever, without having had the careful school-training you enjoy, used all the advantages that came in their way (though, when they were young, advantages were fewer), and unless you do the same, you cannot expect to be like them. Also, clever untrained people often feel very much hampered by their want of training; you see the cleverness, but they feel how much more they could have done if they had been trained. Therefore, do not allow yourselves to think "Euclid is no good, because 'Aunt So-and-so' is quite clever enough, and she never did it;" depend upon it, that is not going the right road to be like her. I feel quite sure that if this "not impossible aunt" had had opportunities of learning Euclid when she was young, she would have done it, and very well too! Of course, if you mean to read Mathematics from choice by-and-by, you will work hard at the subject now, but I can quite understand that those who are not going to do this, perhaps sometimes feel, "What is the good? I shall never look at a Euclid again after I leave school--I want to learn how to hold my own in after-life,--I want to be able to talk when I come out,--I want to be a sensible woman, whose opinion will be asked by other people,--I want to be clever at house-work or cooking, or to be able to manage a shop,--I want to be strong enough and wise enough to be a support and comfort to others,--I want to be a useful woman and not a mathematician!" Well! that is just what I
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