Axiom of choice

Axiom of choice

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty. Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin, even if the collection is infinite. Formally, it states that for every indexed family of nonempty sets there exists an indexed family of elements such that for every . The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.
Thing
http://dbpedia.org/resource/Axiom_of_choice
Axiom_of_choice
primaryTopic

Axiom of choice

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty. Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin, even if the collection is infinite. Formally, it states that for every indexed family of nonempty sets there exists an indexed family of elements such that for every . The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.
Thing
http://dbpedia.org/resource/Axiom_of_choice
has abstract
Aksjomat wyboru, pewnik wyboru ...... dentyczne jak kula wyjściowa).
@pl
Axiom výběru (ozn. (AC)) je ax ...... val Ernst Zermelo v roce 1904.
@cs
Dalam matematika, aksioma pemi ...... rangka untuk menyusun bukti .
@in
En mathématiques, l'axiome du ...... matique des ensembles choisie.
@fr
En teoría de conjuntos, el axi ...... axiomas inconsistentes con él.
@es
Het keuzeaxioma is een enigszi ...... "keuzeregel" is gedefinieerd.
@nl
In mathematics, the axiom of c ...... e axiom of choice is embraced.
@en
L'assioma della scelta è un as ...... mbito della logica matematica.
@it
L'axioma de l'elecció (AE) és ...... er si ho és el lema de Zorn?".
@ca
Urvalsaxiomet är ett mängdteor ...... "varje vektorrum har en bas".
@sv
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
type
comment
Aksjomat wyboru, pewnik wyboru ...... w których przyjęto negację AC.
@pl
Axiom výběru (ozn. (AC)) je ax ...... val Ernst Zermelo v roce 1904.
@cs
Dalam matematika, aksioma pemi ...... rangka untuk menyusun bukti .
@in
En mathématiques, l'axiome du ...... matique des ensembles choisie.
@fr
En teoría de conjuntos, el axi ...... a familia infinita arbitraria.
@es
Het keuzeaxioma is een enigszi ...... "keuzeregel" is gedefinieerd.
@nl
In mathematics, the axiom of c ...... of the well-ordering theorem.
@en
L'assioma della scelta è un as ...... mbito della logica matematica.
@it
L'axioma de l'elecció (AE) és ...... ó finita de conjunts no buits.
@ca
Urvalsaxiomet är ett mängdteor ...... -tomma mängder. Då gäller att:
@sv
label
Aksioma pemilihan
@in
Aksiomo de elekto
@eo
Aksjomat wyboru
@pl
Assioma della scelta
@it
Auswahlaxiom
@de
Axiom of choice
@en
Axiom výběru
@cs
Axioma da escolha
@pt
Axioma de elección
@es
Axioma de l'elecció
@ca
seeAlso
sameAs
wasDerivedFrom
isPrimaryTopicOf