[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematics-Online course: Basic Mathematics - Natural Numbers
	Properties of natural numbers

• For every natural number there is a successor.
• is the smallest natural number.
• Every subset of the set of natural numbers contains a smallest element.
• There are only finitely many natural numbers between any two natural numbers.
• By counting (starting with ), one passes through all natural numbers.

The notation 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 by 0 .