Natuurlike getal

Natuurlike getalleis 'n versameling vangetalleinwiskundewat 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 vannie-negatiewe heelgetalle $0, 1, 2, 3,\dots$ ,^[1]^[2]terwyl ander bronne dit as die versameling vanpositiewe 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 ℕ₀vir die nie-negatiewe heelgetalle en ℕ⁺vir die positiewe heelgetalle.

Eienskappe van natuurlike getalle verwant aan deelbaarheid, soos die ontbinding van getalle inpriemfaktore,word deurgetalteorieaangespreek.

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 allnatural numbersmay 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 NumberopMathWorld.
↑Jack G. Ganssle & Michael Barr (2003).Embedded Systems Dictionary.pp. 138 (integer), 247 (signed integer), & 276 (unsigned integer).ISBN 978-1-57820-120-4.Geargiveervanaf die oorspronklike op 29 Maart 2017.Besoek op28 Maart2017.integer 1. n. Any whole number.

Eksterne skakels

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[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 allnatural numbersmay 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 NumberopMathWorld.

[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.Geargiveervanaf die oorspronklike op 29 Maart 2017.Besoek op28 Maart2017.integer 1. n. Any whole number.

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