Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

Properties of natural numbers


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

The natural numbers

$\displaystyle \mathbb{N} = \{1,2,\ldots\}
$

can be characterized by the following axioms, due to Giuseppe Peano, an Italian mathematician:

The notation $ \mathbb{N}_0 = \mathbb{N} \cup \{0\}$ is used for the set containing all natural numbers and 0.

Sometimes 0 is referred to as a natural number as well. In this case, the above properties remain valid by replacing $ 1$ by 0 .

(Authors: Höllig/Kimmerle/Abele)

see also:


  automatically generated 10/31/2008