Mathematics is of key importance to most aspects of modern life. Due to the great diversity and nature of mathematics it is a subject that is hard to define. Over the years great mathematicians have given there own definitions of mathematics. In general we can define it as " a group of related sciences, including algebra, geometry, and calculus, concerned with the study of number, quantity, shape and space and there interrelationships using a specialized notation." Maths has often been described as the language of science because it is often used by scientists to express new theories. Unlike science though, maths is based on a set of axioms and postulates and not on experimentation or observation. Axioms and postulates are statements that are assumed to be true without being proven. For example "the whole is greater than the part." An axiom is a statement common ....

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