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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1888 edition. Excerpt: ... Thus in the successive classes, units, tens, hundreds, thousands, the ten contains ten units; the hundred, ten tens; the thousand, ten hundreds. The denominations of Federal money are based on decimal classification and consequently constitute a perfect system of currency. Arithmetic Disciplines Chiefly the Reasoning Faculty.--The operations of arithmetic demand steady and persistent efforts of the reasoning faculty. The processes by which most of its problems are solved are faultless examples of deductive reasoning. The general propositions from which the deductions are made are either axioms or derived from axioms, and are, therefore, absolute certainties. All the steps from the premises to the conclusions are likewise free from possible errors, if correctly taken; and the conclusion is, in such case, beyond all question. Thus the young student often finds his first examples of perfect reasoning in the pages of his arithmetic. English Grammar: Its Nature.--The science of the language we speak, must conform to the principle so often referred to as settling the place a study should hold in the order of consecutive studies. It must be rightly adjusted as a whole in the series of mental gymnastics which accord with the series of unfolding faculties, while its parts must be so arranged as to advance from the simple to a gradually increasing complexity. Grammar as a science, comprises the relations of words in the sentence which expresses the relations of thought. Its matter, therefore, partakes of the subtlety of thought itself. The study of grammar consequently employs the higher faculties exclusively, and for this reason, should be preceded by the elements of arithmetic and geography. The Preparation Required.--For the same reason, no...
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