Chat with our AI personalities
All of the natural numbers.
0 and negative integers are all whole numbers but they are not natural numbers.
The set of Natural Numbers is the set of 'counting numbers' {1,2,3,4,....}. All of them are also real numbers.
The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.
The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:Zero is a natural number.Every natural number has a successor in the natural numbers.Zero is not the successor of any natural number.If the successor of two natural numbers is 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 the natural numbers.