**Elements of Mathematical Terminology**

The purpose of this short, preliminary chapter is to introduce and define some of the key elements of general mathematical terminology which will be used in this book. Indeed, a clear and precise vocabulary is essential for a good understanding of concepts and ideas.

An * axiom* is simply a premise or starting point from which other statements are logically derived. A

A * theorem* is a true statement that has been proven on the basis of previously established statements, and basically axioms/postulates.

A * conjecture* is an unproven assertion that appears to be true in the absence of a counter example, but which may appear doubtful for some people. In Number Theory,

A * paradox* is a statement that apparently contradicts itself and ...

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