The set of natural numbers (the positive integers Z-+
1, 2, 3, ...; OEIS A000027), denoted , also called the whole numbers.
Like whole numbers, there is no general agreement on whether 0 should be included
in the list of natural numbers.
Due to lack of standard terminology, the following terms are recommended in preference to "counting number," "natural number," and "whole number."
| set | name | symbol |
| ..., | integers | Z |
| 1, 2, 3, 4, ... | positive integers | Z-+ |
| 0, 1, 2, 3, 4, ... | nonnegative integers | Z-* |
| 0, | nonpositive integers | |
| negative integers | Z-- |