natural number

English

Noun

natural number (plural natural numbers)

1. (mathematics) A positive integer {1, 2, 3, ...}.
2. (mathematics) A non-negative integer {0, 1, 2, ...}.
   • 2007, Mark Bridger, REAL ANALYSIS: A Constructive Approach, Hoboken, New Jersey: John Wiley & Sons, page 3:

     A careful derivation of the arithmetic properties of the natural numbers $\mathbb {N}$, using induction, was done by G. Peano (1858–1932). It is a lot of fun, but we will not pursue any of it here.

Translations

positive integer or non-negative integer

• Arabic: عدد طبيعي (ʕadad ṭabīʕī)
• Armenian: բնական թիվ (bnakan tʻiv)
• Chinese:

  Mandarin: 自然數／自然数 (zh) (zìránshù)

• Danish: naturligt tal
• Dutch: natuurlijk getal (nl) n, naturligt tal n pl
• Finnish: luonnollinen luku (fi)
• French: entier naturel (fr) m, nombre naturel (fr) m, nombre entier naturel (fr) m
• Galician: número natural (gl) m
• Georgian: ბუნებრივი რიცხვი (bunebrivi ricxvi)
• German: natürliche Zahl (de)
• Greek: φυσικός αριθμός (el) m (fysikós arithmós)
• Hebrew: מספר טבעי (he) m (mispár tiv'í)
• Hindi: धन पूर्ण संख्या (dhan pūrṇ saṅkhyā), धन पूर्णांक (dhan pūrṇāṅk), प्राकृतिक संख्या (prākŕtik saṅkhyā), प्राकृत संख्या (prākŕt saṅkhyā)
• Hungarian: természetes szám (hu)
• Icelandic: náttúrleg tala f
• Indonesian: bilangan asli (id)
• Italian: numero naturale (it) m
• Japanese: 自然数 (ja) (shizensū)
• Korean: 자연수 (ko) (jayeonsu)
• Malayalam: എണ്ണൽ സംഖ്യ (eṇṇal saṅkhya)
• Maori: tau tatau
• Persian: شماره‌ی طبیعی (šomâre-ye tabi'i), عدد طبیعی ('adad-e tabi'i)
• Polish: liczba naturalna (pl) f
• Portuguese: número natural (pt) m
• Russian: натура́льное число́ (ru) n (naturálʹnoje čisló)
• Spanish: número natural (es) m
• Swedish: naturligt tal (sv) n
• Tagalog: bilang na likas

(only) positive integer

• Arabic: عَدَد طَبِيعِيّ m (ʕadad ṭabīʕiyy)
• Czech: přirozené číslo (cs) n
• Danish: positivt heltal (da)
• Esperanto: natura nombro (eo)
• Finnish: positiivinen kokonaisluku
• French: entier naturel (fr) m
• Japanese: 自然数 (ja) (shizensū) (commonly), 正数 (ja) (seisū)
• Persian: عدد طبیعی
• Tagalog: bilang na panalatag
• Turkish: doğal sayı (tr)

(only) non-negative integer

• Danish: ikke-negativt heltal (da)
• Finnish: ei-negatiivinen kokonaisluku
• Japanese: 自然数 (ja) (shizensū) (occasionally), 非負数 (hifusū) (strictly)
• Tagalog: bilang na likas
• Turkish: sayma sayısı (tr)

See also

• counting number
• integer
• natural numbers
• number
• whole number