Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Class_(set_theory)> ?p ?o }
- Class_(set_theory) abstract "In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. The precise definition of "class" depends on foundational context. In work on Zermelo–Fraenkel set theory, the notion of class is informal, whereas other set theories, such as Von Neumann–Bernays–Gödel set theory, axiomatize the notion of "proper class", e.g., as entities that are not members of another entity.A class that is not a set (informally in Zermelo–Fraenkel) is called a proper class, and a class that is a set is sometimes called a small class. For instance, the class of all ordinal numbers, and the class of all sets, are proper classes in many formal systems.Outside set theory, the word "class" is sometimes used synonymously with "set". This usage dates from a historical period where classes and sets were not distinguished as they are in modern set-theoretic terminology. Many discussions of "classes" in the 19th century and earlier are really referring to sets, or perhaps to a more ambiguous concept.".
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- Class_(set_theory) wikiPageRevisionID "682813525".
- Class_(set_theory) wikiPageWikiLink Bijection.
- Class_(set_theory) wikiPageWikiLink Burali-Forti_paradox.
- Class_(set_theory) wikiPageWikiLink Category:Set_theory.
- Class_(set_theory) wikiPageWikiLink Category_(mathematics).
- Class_(set_theory) wikiPageWikiLink Category_theory.
- Class_(set_theory) wikiPageWikiLink Complete_lattice.
- Class_(set_theory) wikiPageWikiLink Conservative_extension.
- Class_(set_theory) wikiPageWikiLink Field_(mathematics).
- Class_(set_theory) wikiPageWikiLink Free_lattice.
- Class_(set_theory) wikiPageWikiLink Function_(mathematics).
- Class_(set_theory) wikiPageWikiLink Grothendieck_universe.
- Class_(set_theory) wikiPageWikiLink Group_(mathematics).
- Class_(set_theory) wikiPageWikiLink Inaccessible_cardinal.
- Class_(set_theory) wikiPageWikiLink Large_category.
- Class_(set_theory) wikiPageWikiLink Mathematical_proof.
- Class_(set_theory) wikiPageWikiLink Mathematics.
- Class_(set_theory) wikiPageWikiLink Metalanguage.
- Class_(set_theory) wikiPageWikiLink Morphism.
- Class_(set_theory) wikiPageWikiLink Morse–Kelley_set_theory.
- Class_(set_theory) wikiPageWikiLink Naive_set_theory.
- Class_(set_theory) wikiPageWikiLink New_Foundations.
- Class_(set_theory) wikiPageWikiLink Ordinal_number.
- Class_(set_theory) wikiPageWikiLink Ordinal_numbers.
- Class_(set_theory) wikiPageWikiLink Proof_(mathematics).
- Class_(set_theory) wikiPageWikiLink Russells_paradox.
- Class_(set_theory) wikiPageWikiLink Semiset.
- Class_(set_theory) wikiPageWikiLink Set_(mathematics).
- Class_(set_theory) wikiPageWikiLink Set_theory.
- Class_(set_theory) wikiPageWikiLink Springer-Verlag.
- Class_(set_theory) wikiPageWikiLink Springer_Science+Business_Media.
- Class_(set_theory) wikiPageWikiLink Structure_(mathematical_logic).
- Class_(set_theory) wikiPageWikiLink Surreal_number.
- Class_(set_theory) wikiPageWikiLink Vector_space.
- Class_(set_theory) wikiPageWikiLink Von_Neumann–Bernays–Gödel_axioms.
- Class_(set_theory) wikiPageWikiLink Von_Neumann–Bernays–Gödel_set_theory.
- Class_(set_theory) wikiPageWikiLink ZF_set_theory.
- Class_(set_theory) wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Class_(set_theory) wikiPageWikiLinkText "Class (set theory)".
- Class_(set_theory) wikiPageWikiLinkText "Class".
- Class_(set_theory) wikiPageWikiLinkText "Class_(set_theory)".
- Class_(set_theory) wikiPageWikiLinkText "Mathematical classification".
- Class_(set_theory) wikiPageWikiLinkText "Proper classes".
- Class_(set_theory) wikiPageWikiLinkText "class boundaries".
- Class_(set_theory) wikiPageWikiLinkText "class function".
- Class_(set_theory) wikiPageWikiLinkText "class theories".
- Class_(set_theory) wikiPageWikiLinkText "class theory".
- Class_(set_theory) wikiPageWikiLinkText "class".
- Class_(set_theory) wikiPageWikiLinkText "classes".
- Class_(set_theory) wikiPageWikiLinkText "classifying".
- Class_(set_theory) wikiPageWikiLinkText "collection".
- Class_(set_theory) wikiPageWikiLinkText "proper class".
- Class_(set_theory) wikiPageWikiLinkText "proper classes".
- Class_(set_theory) wikiPageWikiLinkText "set".
- Class_(set_theory) hasPhotoCollection Class_(set_theory).
- Class_(set_theory) id "SetClass".
- Class_(set_theory) title "Set Class".
- Class_(set_theory) wikiPageUsesTemplate Template:Citation.
- Class_(set_theory) wikiPageUsesTemplate Template:MathWorld.
- Class_(set_theory) wikiPageUsesTemplate Template:Mathematical_logic.
- Class_(set_theory) wikiPageUsesTemplate Template:Refimprove.
- Class_(set_theory) wikiPageUsesTemplate Template:Reflist.
- Class_(set_theory) wikiPageUsesTemplate Template:Set_theory.
- Class_(set_theory) subject Category:Set_theory.
- Class_(set_theory) hypernym Collection.
- Class_(set_theory) type Book.
- Class_(set_theory) type Thing.
- Class_(set_theory) comment "In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. The precise definition of "class" depends on foundational context.".
- Class_(set_theory) label "Class (set theory)".
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- Class_(set_theory) sameAs Klass_(matematik).
- Class_(set_theory) sameAs Клас_(теорія_множин).
- Class_(set_theory) sameAs Q217594.
- Class_(set_theory) sameAs Q217594.