Rigorous mathematics and Deductive Reasoning
by Abdassamad Clarke
Mathematics uses five main elements: definition, axiom, hypothesis, proof and theorem.
Definitions are created to ensure that the terms and concepts being used in the arguments are clear.
The axiom is a concept which is so obviously true one does not have to prove it; it is ’self-evident’. Sometimes axioms are also called postulates. Based on the axioms, mathematicians make hypotheses or propositions.