# Definitions for **natural number**

### This page provides all possible meanings and translations of the word **natural number**

### Random House Webster's College Dictionary

nat′ural num′ber(n.)

a positive integer or zero.

**Category:**Math

#### Origin of **natural number**:

1755–65

### Princeton's WordNet

natural number(noun)

the number 1 and any other number obtained by adding 1 to it repeatedly

### Wiktionary

natural number(Noun)

a member of the set of natural numbers - a positive integer (set of [1,2,3,...])

natural number(Noun)

a member of the set of natural numbers - a non-negative integer (set of [0,1,2,3,...]).

### Freebase

Natural number

In mathematics, the natural numbers are those used for counting and ordering. These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively. A later notion is that of a nominal number, which is used only for naming. Properties of the natural numbers related to divisibility, such as the distribution of prime numbers, are studied in number theory. Problems concerning counting and ordering, such as partition enumeration, are studied in combinatorics. There is no universal agreement about whether to include zero in the set of natural numbers: some define the natural numbers to be the positive integers {1, 2, 3, ...}, while for others the term designates the non-negative integers {0, 1, 2, 3, ...}. The former definition is the traditional one, with the latter definition having first appeared in the 19th century. Some authors use the term natural number to exclude 0 and whole number to include it; others use whole number in a way that includes both 0 and the negative integers, i.e., as an equivalent of the integer term.

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"natural number." *Definitions.net.* STANDS4 LLC, 2014. Web. 19 Sep. 2014. <http://www.definitions.net/definition/natural number>.