### „1. Zero is a number.

2. The successor of any number is another number.

3. There are no two numbers with the same successor.

4. Zero is not the successor of a number.

5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers.“

— Giuseppe Peano Italian mathematician 1858 - 1932

As expressed in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)

Peano axioms