Number Arguments And Diagrams

NEARLY all persons find it difficult to remember numbers, because these do not in themselves represent objects evident to the senses and therefore material for imagination. We can easily imagine two gate posts, three sides of a triangle, six surfaces of a cube, but when we go beyond this it becomes increasingly difficult to imagine the quantities of even quite definite things. It is still more difficult to picture the numbers representing quantities of units of measure.

A teacher may "feel" that there are thirty-five or forty boys in his class by seeing them in complete or broken groups, but of things such as the number of feet in a mile, or the square root of a number, only a specially constituted mind could form the slightest image. Numbers in themselves are meaningless in the imagination.

Notwithstanding this abstract character of numbers, they have some distinguishable features in their relationships to one another. It is therefore possible to develop a greatly improved memory of numbers by studying these features, so as to acquire familiarity with their distinctions.

To a very little child a cat and a dog are not at first clearly different kinds of things, but later it observes their points of difference and recognizes them easily—no longer as indistinguishable twins. When non-Asiatic persons first go to Japan or India, they often say that the Japanese or the Hindu people are all alike. Frequently they find themselves in the embarrassing position of not being able to distinguish those to whom they have been introduced a day or two before. But later on they have no such difficulty. At first the general colour and formation of face dominated the mind, and only after it had become quite used to these features did it begin

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