Natural numbers

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Table of contents

1 English 1.1 Noun 1.2 Translation 1.3 Related terms

English

Noun

the natural numbers

1. (mathematics) 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>;

Translation

• Chinese: 自然数 (ziranshu)
• Italian: numero naturale m
• Japanese: 自然数 (しぜんすう, shizensu)
• Portuguese: números naturais

Related terms

• set
• natural number
• Inductive definition