PEANO's AXIOMS

=                                                                  PEANO's AXIOMS: = A rule or a principle which people accept as true is referred to as axioms. Peano's axioms were published to define Natural numbers by Gueseppe peano, an Italian mathematician.The standard axiomatization of the natural numbers is named as peano's axioms to honor his contribution towards the field of mathematics.The peano axioms were meant to provide a rigorous foundation for the natural numbers used in arithmetic, number theory and set theory.In particular, the peano's axioms enable an infinite set to be generated by a finite set of symbols and rules. It includes five axioms namely
 * Every natural number has a successor in the set of natural numbers.
 * Every natural number has an unique successor.
 * 1 is not a successor of any natural number.
 * If the successor of the two natural numbers are the same, then the two original numbers are the same.
 * If a set contains zero and the successor of every number is in the set then the set contains natural numbers.