Whole Number

One of the numbers 1, 2, 3, ... (Sloane's A000027), also called the Counting Numbers orNatural 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. SequenceA000027/M0472in ``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.

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