Natural Number

A A000027). The set of natural numbers is denotedN or Z+. Unfortunately, 0 is sometimes also included in the list of ``natural''numbers (Bourbaki 1968, Halmos 1974), and there seems to be no general agreement about whether to include it.

Due to lack of standard terminology, the following terms are recommended in preference to ``Counting Number,'' ``naturalnumber,'' 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.

Courant, R. and Robbins, H. ``The Natural Numbers.'' Ch. 1 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 1-20, 1996.

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.

• Sprague-Grundy Number
• Sprague-Grundy Value
• Spread (Link)
• Spread (Tree)
• Spun Knot
• Squarable
• Square
• Square Bracket Polynomial
• Square Cupola
• Square Curve
• Square Cutting
• Squared
• Squared Square
• Square-Free
• Squarefree
• Butterfly Catastrophe
• Butterfly Curve
• Butterfly Effect
• Butterfly Fractal
• Butterfly Polyiamond
• Butterfly Theorem
• Bäcklund Transformation
• Bézier Curve
• Bézier Spline
• C