Hejmaren xwezayi an reqema xwezayi ew hejmaren, e mera pe dihesbine ([ 0 ], 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ,...). Carna 0 ji te hesbandin di nav kome hejmaren xwezayi. Hejmare tewri cuk ya sifire ya yeke .

Cekirina hejmaren xwezayi [ biguhere | cavkaniye biguhere ]

Aksiyomen Peano [ biguhere | cavkaniye biguhere ]

Di diroke da Aksiyomen Peano matematikvaneki itali bi navi Giuseppe Peano heqen hejmaren xwezayi nivisand. Li zanengehen iro ji ew ten bikaranin.

1. Hejmare 0 hejmareke xwezayi ye.
2. Ye ci hejmareke xwezayi ${\displaystyle n}$, pi?thatka we ${\displaystyle n'}$ ji heye.
3. Hejmareki xwezayi, ye pi?thatkawe xwe 0 e, tune ye.
4. Ye hejmareki xwezayi bes pi?thatkayeki xwe heye.

Ew heqen hejmaren xwezayi bi reke matematike ev ne:

1. ${\displaystyle 0\in \mathbb {N} }$
2. ${\displaystyle \forall n:n\in \mathbb {N} \Rightarrow n'\in \mathbb {N} }$
3. ${\displaystyle \forall n:\lnot (n'=0)}$
4. ${\displaystyle \lnot \exists (m,n):m'=n',\lnot m=n}$

Ni?anen hejmaren xwezayi [ biguhere | cavkaniye biguhere ]

Ni?ane hejmaren xwezayi

${\displaystyle \mathbb {N} }$

e.
Koma hejmaren xwezayi ve sifre mera kome hejmaren xwezayi

${\displaystyle \mathbb {N} =\{\,1,2,3,\ldots \,\}}$

dinivsine, bi sifire ra

${\displaystyle \mathbb {N} =\{0,1,2,3,\ldots \,\}}$

Ni?an	Wate
${\displaystyle \mathbb {N} ^{+}}$	Hejmaren ereni, bi sifire
${\displaystyle \mathbb {N} ^{*}}$	Hejmaren ereni, bi sifire
${\displaystyle \mathbb {N} _{0}}$	Hejmaren ereni, bi sifire
${\displaystyle \mathbb {N} _{>0}}$	Bes hejmaren ereni (ve sifire)
${\displaystyle \mathbb {N} \setminus \{0\}}$	Bes hejmaren ereni (ve sifire)

Giredanen derve [ biguhere | cavkaniye biguhere ]

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