Natural numbers
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English
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Noun
natural numbers
- (mathematics{{#if:|, {{{2}}}{{#if:|, {{{3}}}{{#if:|, {{{4}}}{{#if:|, {{{5}}}{{#if:|, {{{6}}}{{#if:|, {{{7}}}{{#if:|, {{{8}}}{{#if:|, {{{9}}}}}}}}}}}}}}}}}}}) The counting numbers or whole numbers; set of positive integers: the set {1, 2, 3, ...}, often denoted as N.
- (mathematics{{#if:|, {{{2}}}{{#if:|, {{{3}}}{{#if:|, {{{4}}}{{#if:|, {{{5}}}{{#if:|, {{{6}}}{{#if:|, {{{7}}}{{#if:|, {{{8}}}{{#if:|, {{{9}}}}}}}}}}}}}}}}}}}) The set of non-negative integers, ie, the set {0, 1, 2, 3, ...}; more precisely, the set, denoted N, being the smallest such that:
- <math>0 \in N</math>, and
- <math>n \in N \implies succ(n) \in N</math>;
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Usage notes
Please note: This term is ambiguous so that careful authors will define it. Common guidelines are:
- positive integers are used in number theory
- non-negative integers are used in set theory and computer science.
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Synonyms
(positive integer): counting numbers, whole numbers. (non-negative integer): whole numbers.
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Translation
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