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- Cantor's_theorem abstract "In elementary set theory, Cantor's theorem states that, for any set A, the set of all subsets of A (the power set of A) has a strictly greater cardinality than A itself. For finite sets, Cantor's theorem can be seen to be true by a much simpler proof than that given below. Counting the empty subset, subsets of A with just one member, etc. for a set with n members there are 2n subsets and the cardinality of the set of subsets n < 2n is clearly larger. But the theorem is true of infinite sets as well. In particular, the power set of a countably infinite set is uncountably infinite. The theorem is named for German mathematician Georg Cantor, who first stated and proved it.".
- Cantor's_theorem thumbnail Hasse_diagram_of_powerset_of_3.svg?width=300.
- Cantor's_theorem wikiPageID "341442".
- Cantor's_theorem wikiPageRevisionID "593129601".
- Cantor's_theorem hasPhotoCollection Cantor's_theorem.
- Cantor's_theorem id "CantorsTheorem".
- Cantor's_theorem id "p/c020260".
- Cantor's_theorem title "Cantor theorem".
- Cantor's_theorem title "Cantor's Theorem".
- Cantor's_theorem subject Category:Cardinal_numbers.
- Cantor's_theorem subject Category:Set_theory.
- Cantor's_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
- Cantor's_theorem type Abstraction100002137.
- Cantor's_theorem type CardinalNumber113597585.
- Cantor's_theorem type CardinalNumbers.
- Cantor's_theorem type Communication100033020.
- Cantor's_theorem type DefiniteQuantity113576101.
- Cantor's_theorem type Measure100033615.
- Cantor's_theorem type Message106598915.
- Cantor's_theorem type Number113582013.
- Cantor's_theorem type Proposition106750804.
- Cantor's_theorem type Statement106722453.
- Cantor's_theorem type Theorem106752293.
- Cantor's_theorem type TheoremsInTheFoundationsOfMathematics.
- Cantor's_theorem comment "In elementary set theory, Cantor's theorem states that, for any set A, the set of all subsets of A (the power set of A) has a strictly greater cardinality than A itself. For finite sets, Cantor's theorem can be seen to be true by a much simpler proof than that given below. Counting the empty subset, subsets of A with just one member, etc. for a set with n members there are 2n subsets and the cardinality of the set of subsets n < 2n is clearly larger.".
- Cantor's_theorem label "Cantor's theorem".
- Cantor's_theorem label "Satz von Cantor".
- Cantor's_theorem label "Stelling van Cantor".
- Cantor's_theorem label "Teorema de Cantor".
- Cantor's_theorem label "Teorema de Cantor".
- Cantor's_theorem label "Teorema di Cantor".
- Cantor's_theorem label "Théorème de Cantor".
- Cantor's_theorem label "Twierdzenie Cantora".
- Cantor's_theorem label "Теорема Кантора".
- Cantor's_theorem label "مبرهنة كانتور".
- Cantor's_theorem label "康托尔定理".
- Cantor's_theorem sameAs Cantorova_věta.
- Cantor's_theorem sameAs Satz_von_Cantor.
- Cantor's_theorem sameAs Teorema_de_Cantor.
- Cantor's_theorem sameAs Théorème_de_Cantor.
- Cantor's_theorem sameAs Teorema_di_Cantor.
- Cantor's_theorem sameAs 칸토어의_정리.
- Cantor's_theorem sameAs Stelling_van_Cantor.
- Cantor's_theorem sameAs Twierdzenie_Cantora.
- Cantor's_theorem sameAs Teorema_de_Cantor.
- Cantor's_theorem sameAs m.01y3_b.
- Cantor's_theorem sameAs Q474881.
- Cantor's_theorem sameAs Q474881.
- Cantor's_theorem sameAs Cantor's_theorem.
- Cantor's_theorem wasDerivedFrom Cantor's_theorem?oldid=593129601.
- Cantor's_theorem depiction Hasse_diagram_of_powerset_of_3.svg.
- Cantor's_theorem isPrimaryTopicOf Cantor's_theorem.
