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A Positive Integer: 1, 2, 3, 4, ... (Sloane's A000027), also called a Natural Number. However, 0 is sometimes also included in the list of counting 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* | 
| negative integers | Z- | 
See also Natural Number, Whole Number, Z, Z-, Z+, Z*
References
Sloane, N. J. A.  Sequence
A000027/M0472
in ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
The Encyclopedia of Integer Sequences.  San Diego: Academic Press, 1995.