Natuurlike getal

Natuurlike getalle is 'n versameling van getalle in wiskunde wat vir tel ("daar is 3 mense in die motor") en rangskikking ("die 3de stel hakies") gebruik word. Sommige bronne definieer die natuurlike getalle as die versameling van nie-negatiewe heelgetalle $0, 1, 2, 3, \dots$ ,^[1]^[2] terwyl ander bronne dit as die versameling van positiewe heelgetalle $1, 2, 3, \dots$ definieer.^[3]^[4] Selfs ander bronne verskaf beide definisies;^[5]^[6] onderskeid word dan tussen die twee definisies getref deur middel van notasie, byvoorbeeld ℕ₀ vir die nie-negatiewe heelgetalle en ℕ⁺ vir die positiewe heelgetalle.

Eienskappe van natuurlike getalle verwant aan deelbaarheid, soos die ontbinding van getalle in priemfaktore, word deur getalteorie aangespreek.

Verwysings

↑ "Standard number sets and intervals". ISO 80000-2:2009. International Organization for Standardization. p. 6.
↑ (Mac Lane & Birkhoff 1999) include zero in the natural numbers: 'Intuitively, the set $ℕ = {0, 1, 2, ...}$ of all natural numbers may be described as follows: $ℕ$ contains an "initial" number 0; ...'. They follow that with their version of the Peano Postulates. (p. 15)
↑ "natural number", Merriam-Webster.com (Merriam-Webster), http://www.merriam-webster.com/dictionary/natural%20number, besoek op 4 October 2014
↑ (Carothers 2000) says: "ℕ is the set of natural numbers (positive integers)" (p. 3)
↑ Weisstein, Eric W., Natural Number op MathWorld.
↑ Jack G. Ganssle & Michael Barr (2003). Embedded Systems Dictionary. pp. 138 (integer), 247 (signed integer), & 276 (unsigned integer). ISBN 978-1-57820-120-4. Geargiveer vanaf die oorspronklike op 2017-03-29. Besoek op 2017-03-28. integer 1. n. Any whole number.

Eksterne skakels

Wikimedia Commons het meer media in die kategorie Natuurlike getal.
Wikiwoordeboek het 'n inskrywing vir natuurlike getal.

[ISO80000-1] "Standard number sets and intervals". ISO 80000-2:2009. International Organization for Standardization. p. 6.

[Mac_Lane_&_Birkhoff_1999_p15-2] (Mac Lane & Birkhoff 1999) include zero in the natural numbers: 'Intuitively, the set $ℕ = {0, 1, 2, ...}$ of all natural numbers may be described as follows: $ℕ$ contains an "initial" number 0; ...'. They follow that with their version of the Peano Postulates. (p. 15)

[3] "natural number", Merriam-Webster.com (Merriam-Webster), http://www.merriam-webster.com/dictionary/natural%20number, besoek op 4 October 2014

[4] (Carothers 2000) says: "ℕ is the set of natural numbers (positive integers)" (p. 3)

[5] Weisstein, Eric W., Natural Number op MathWorld.

[6] Jack G. Ganssle & Michael Barr (2003). Embedded Systems Dictionary. pp. 138 (integer), 247 (signed integer), & 276 (unsigned integer). ISBN 978-1-57820-120-4. Geargiveer vanaf die oorspronklike op 2017-03-29. Besoek op 2017-03-28. integer 1. n. Any whole number.

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