Ordinal number

Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a (possibly infinite) collection of objects in order, one after another. Any finite collection of objects can be put in order just by the process of counting: labeling the objects with distinct natural numbers. The basic idea of ordinal numbers is to generalize this process to possibly infinite collections and to provide a "label" for each step in the process. Ordinal numbers are thus the "labels" needed to arrange collections of objects in order.
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Ordinal_number
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Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a (possibly infinite) collection of objects in order, one after another. Any finite collection of objects can be put in order just by the process of counting: labeling the objects with distinct natural numbers. The basic idea of ordinal numbers is to generalize this process to possibly infinite collections and to provide a "label" for each step in the process. Ordinal numbers are thus the "labels" needed to arrange collections of objects in order.
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Bilangan ordinal dalam teori h ...... al tak terhitung terkecil: ω1.
@in
Els nombres ordinals, o senzil ...... més si, és element de l'altre.
@ca
En mathématiques, on appelle n ...... mais la réciproque est fausse.
@fr
En teoría de conjuntos, un núm ...... unto de los números naturales.
@es
In de verzamelingenleer is een ...... ecten in volgorde te plaatsen.
@nl
In matematica, i numeri ordina ...... otta da Georg Cantor nel 1897.
@it
In set theory, an ordinal numb ...... eness of trigonometric series.
@en
Liczby porządkowe – specjalne ...... porządkowe dobrych porządków).
@pl
Na teoria dos conjuntos, um nú ...... le não contém ω como elemento.
@pt
Ordinaltal är en typ av "tal" ...... ur stora ordinaltalen kan bli.
@sv
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p/o070180
@en
title
Ordinal number
@en
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subject
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Bilangan ordinal dalam teori h ...... mempelajari keunikan . Contoh:
@in
Els nombres ordinals, o senzil ...... s els nombres naturals menors:
@ca
En mathématiques, on appelle n ...... événement dans une succession.
@fr
En teoría de conjuntos, un núm ...... unto de los números naturales.
@es
In de verzamelingenleer is een ...... ecten in volgorde te plaatsen.
@nl
In matematica, i numeri ordina ...... otta da Georg Cantor nel 1897.
@it
In set theory, an ordinal numb ...... llections of objects in order.
@en
Liczby porządkowe – specjalne ...... porządkowe dobrych porządków).
@pl
Na teoria dos conjuntos, um nú ...... multiplicados e exponenciados.
@pt
Ordinaltal är en typ av "tal" ...... äkta delklass av ordinaltalen.
@sv
label
Bilangan ordinal
@in
Liczby porządkowe
@pl
Nombre ordinal
@ca
Nombre ordinal
@fr
Numero ordinale (teoria degli insiemi)
@it
Número ordinal (teoría de conjuntos)
@es
Número ordinal
@pt
Ordinaalgetal
@nl
Ordinal number
@en
Ordinaltal
@sv
seeAlso
sameAs
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isPrimaryTopicOf