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 29 Maart 2017. Besoek op 28 Maart 2017. 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 29 Maart 2017. Besoek op 28 Maart 2017. integer 1. n. Any whole number.

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