Chapter 1 On Different Types of Numbers

”The child comes into a social environment which is possessed of a highly perfect number system but the child feels no need of it and he is incapable of abstract thinking that is necessary for the intelligent use of this system. To the child the number system in itself a body of very complicated experiences · · · The deliberate effort of society is to give pupils in a few years and in the most highly perfected form, that which the race strove during long centuries.”

1.1 The beginning of the journey

We will start from our childhood days (or perhaps the infancy of the human race) when mathematics was unknown to us. Even then we could distinguish between one bird and two birds or between two ...

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