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- Axiom_of_power_set abstract "In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory.In the formal language of the Zermelo–Fraenkel axioms, the axiom reads:where P stands for the power set of A, . In English, this says:Given any set A, there is a set such that, given any set B, B is a member of if and only if every element of B is is also an element of A.Subset is not used in the formal definition because the subset relation is defined axiomatically; axioms must be independent from each other. By the axiom of extensionality this set is unique, which means that every set has a power set.The axiom of power set appears in most axiomatizations of set theory. It is generally considered uncontroversial, although constructive set theory prefers a weaker version to resolve concerns about predicativity.".
- Axiom_of_power_set wikiPageID "52552".
- Axiom_of_power_set wikiPageRevisionID "604143550".
- Axiom_of_power_set hasPhotoCollection Axiom_of_power_set.
- Axiom_of_power_set id "4399".
- Axiom_of_power_set title "Axiom of power set".
- Axiom_of_power_set subject Category:Axioms_of_set_theory.
- Axiom_of_power_set type Abstraction100002137.
- Axiom_of_power_set type AuditoryCommunication107109019.
- Axiom_of_power_set type AxiomsOfSetTheory.
- Axiom_of_power_set type Communication100033020.
- Axiom_of_power_set type Maxim107152948.
- Axiom_of_power_set type Saying107151380.
- Axiom_of_power_set type Speech107109196.
- Axiom_of_power_set comment "In mathematics, the axiom of power set is one of the Zermelo–Fraenkel axioms of axiomatic set theory.In the formal language of the Zermelo–Fraenkel axioms, the axiom reads:where P stands for the power set of A, .".
- Axiom_of_power_set label "Aksjomat zbioru potęgowego".
- Axiom_of_power_set label "Assioma dell'insieme potenza".
- Axiom_of_power_set label "Axiom of power set".
- Axiom_of_power_set label "Axioma da potência".
- Axiom_of_power_set label "Axioma del conjunto potencia".
- Axiom_of_power_set label "Axiome de l'ensemble des parties".
- Axiom_of_power_set label "Аксиома булеана".
- Axiom_of_power_set label "幂集公理".
- Axiom_of_power_set sameAs Axioma_del_conjunto_potencia.
- Axiom_of_power_set sameAs Axiome_de_l'ensemble_des_parties.
- Axiom_of_power_set sameAs Assioma_dell'insieme_potenza.
- Axiom_of_power_set sameAs 멱집합_공리.
- Axiom_of_power_set sameAs Aksjomat_zbioru_potęgowego.
- Axiom_of_power_set sameAs Axioma_da_potência.
- Axiom_of_power_set sameAs m.0dtgh.
- Axiom_of_power_set sameAs Q1077811.
- Axiom_of_power_set sameAs Q1077811.
- Axiom_of_power_set sameAs Axiom_of_power_set.
- Axiom_of_power_set wasDerivedFrom Axiom_of_power_set?oldid=604143550.
- Axiom_of_power_set isPrimaryTopicOf Axiom_of_power_set.