Today is Giuseppe Peano's Birthday!
Happy Birthday
Peano!
Born: August 27, 1858
in Cuneo, Piemonte, Italy
Died: August 20, 1932
in Turin, Italy
Peano's axioms are the basis for a version
of number theory known as Peano's arithmetic.


* 1 is a natural
number.
* For every natural
number x there exists another
natural number x' called the successor of
x.
* 1 # x' for every
natural number x
(x' being the successor of x).
* If x' = y' then
x = y.
* If Q is a property
such that:
1.1 has
the property Q.
2. If
x has property Q then x' has property Q
then the property Q holds for all natural numbers. 