One of the numbers 1, 2, 3, ... (Sloane's A000027), also called the Counting Numbers or Natural Numbers. 0 is sometimes included in the list of ``whole'' numbers (Bourbaki 1968, Halmos 1974), but there seems to be no general agreement. Some authors also interpret ``whole number'' to mean ``a number having Fractional Part of zero,'' making the whole numbers equivalent to the integers.

Due to lack of standard terminology, the following terms are recommended in preference to ``Counting Number,'' ``Natural Number,'' and ``whole number.''

Set | Name | Symbol |

..., , , 0, 1, 2, ... | integers | Z |

1, 2, 3, 4, ... | positive integers | Z+ |

0, 1, 2, 3, 4 ... | nonnegative integers | Z* |

, , , , ... | negative integers | Z- |

**References**

Bourbaki, N. *Elements of Mathematics: Theory of Sets.* Paris, France: Hermann, 1968.

Halmos, P. R. *Naive Set Theory.* New York: Springer-Verlag, 1974.

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.

© 1996-9

1999-05-26