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IV.

1. The word "mathematics" comes from Greek language.

2. By origin or etymologically, "mathematics" means "something that must be learnt or understood", perhaps "acquired knowledge" or "knowledge acquirable by learning" or "general knowledge".

3. Mathematics as a science, viewed as a whole, is a collection of branches.

4. The largest branch is that which builds on the ordinary whole numbers, fractions, and irritional numbers - simply, the real number system.

5. The whole numbers or integers.

6. Theorems.

V. c