Part one of term paper
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 calcul ...

Part two of term paper
... 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 to all sciences whereas a postulate is a statement peculiar to the particular science being studied. Other statements or theorems must be logically implied by the set of postulates and axioms. The theorem is considered valid if it is consistent with itself and the mathematical system that it is a part a ...