You know what is axiom in mathematics?
Generaly the question asked in interviews” what is the difference between Axiom and Theorem”?
In mathematics or logical system, an initial statement that is assumed / accepted true without any contrary and used to derive other statements or to prove further theorems, is called Axiom.
In simple words, no one can seperate them. Once presence tells the existence of other. It is just like
” dhoop and chhanv”
” Hen and egg” stories etc.
Hope you got it very well.
So mathematically, the axioms are often well known formulae for which the proof has already been established.
With this I start to write on algebraic properties of real numbers… please refer the following notes…