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- Measurable_cardinal abstract "In mathematics, a measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces a two-valued measure on a cardinal κ, or more generally on any set. For a cardinal κ, it can be described as a subdivision of all of its subsets into large and small sets such that κ itself is large, ∅ and all singletons {α}, α ∈ κ are small, complements of small sets are large and vice versa. The intersection of fewer than κ large sets is again large.It turns out that uncountable cardinals endowed with a two-valued measure are large cardinals whose existence cannot be proved from ZFC.The concept of a measurable cardinal was introduced by Stanislaw Ulam in 1930.".
- Measurable_cardinal wikiPageExternalLink pjmaddy.
- Measurable_cardinal wikiPageExternalLink tresc.php?wyd=1&tom=14.
- Measurable_cardinal wikiPageExternalLink tresc.php?wyd=1&tom=15.
- Measurable_cardinal wikiPageExternalLink tresc.php?wyd=1&tom=16.
- Measurable_cardinal wikiPageID "248102".
- Measurable_cardinal wikiPageLength "9020".
- Measurable_cardinal wikiPageOutDegree "39".
- Measurable_cardinal wikiPageRevisionID "676884963".
- Measurable_cardinal wikiPageWikiLink Atom_(measure_theory).
- Measurable_cardinal wikiPageWikiLink Axiom_of_determinacy.
- Measurable_cardinal wikiPageWikiLink Cardinal_number.
- Measurable_cardinal wikiPageWikiLink Category:Determinacy.
- Measurable_cardinal wikiPageWikiLink Category:Large_cardinals.
- Measurable_cardinal wikiPageWikiLink Category:Measures_(set_theory).
- Measurable_cardinal wikiPageWikiLink Class_(set_theory).
- Measurable_cardinal wikiPageWikiLink Continuum_hypothesis.
- Measurable_cardinal wikiPageWikiLink Critical_point_(set_theory).
- Measurable_cardinal wikiPageWikiLink Dana_Scott.
- Measurable_cardinal wikiPageWikiLink Elementary_equivalence.
- Measurable_cardinal wikiPageWikiLink Equiconsistency.
- Measurable_cardinal wikiPageWikiLink Fundamenta_Mathematicae.
- Measurable_cardinal wikiPageWikiLink Huge_cardinal.
- Measurable_cardinal wikiPageWikiLink Inaccessible_cardinal.
- Measurable_cardinal wikiPageWikiLink Ineffable_cardinal.
- Measurable_cardinal wikiPageWikiLink Large_cardinal.
- Measurable_cardinal wikiPageWikiLink Lebesgue_measure.
- Measurable_cardinal wikiPageWikiLink Mahlo_cardinal.
- Measurable_cardinal wikiPageWikiLink Mathematics.
- Measurable_cardinal wikiPageWikiLink Measure_(mathematics).
- Measurable_cardinal wikiPageWikiLink Mitchell_order.
- Measurable_cardinal wikiPageWikiLink Model_theory.
- Measurable_cardinal wikiPageWikiLink Normal_measure.
- Measurable_cardinal wikiPageWikiLink Power_set.
- Measurable_cardinal wikiPageWikiLink Ramsey_cardinal.
- Measurable_cardinal wikiPageWikiLink Scotts_trick.
- Measurable_cardinal wikiPageWikiLink Stanislaw_Ulam.
- Measurable_cardinal wikiPageWikiLink Successor_cardinal.
- Measurable_cardinal wikiPageWikiLink Transitive_set.
- Measurable_cardinal wikiPageWikiLink Ultrafilter.
- Measurable_cardinal wikiPageWikiLink Ultraproduct.
- Measurable_cardinal wikiPageWikiLink Universe_(mathematics).
- Measurable_cardinal wikiPageWikiLink Zermelo–Fraenkel_set_theory.
- Measurable_cardinal wikiPageWikiLinkText "Measurable cardinal".
- Measurable_cardinal wikiPageWikiLinkText "Measurable cardinal#Real-valued measurable".
- Measurable_cardinal wikiPageWikiLinkText "measurability".
- Measurable_cardinal wikiPageWikiLinkText "measurable cardinal".
- Measurable_cardinal wikiPageWikiLinkText "measurable".
- Measurable_cardinal wikiPageWikiLinkText "measures".
- Measurable_cardinal wikiPageWikiLinkText "real valued measurable cardinal".
- Measurable_cardinal authorlink "Stanislaw Ulam".
- Measurable_cardinal authorlink "Stefan Banach".
- Measurable_cardinal first "Stanislaw".
- Measurable_cardinal first "Stefan".
- Measurable_cardinal last "Banach".
- Measurable_cardinal last "Ulam".
- Measurable_cardinal wikiPageUsesTemplate Template:Citation.
- Measurable_cardinal wikiPageUsesTemplate Template:Cite_book.
- Measurable_cardinal wikiPageUsesTemplate Template:Cite_journal.
- Measurable_cardinal wikiPageUsesTemplate Template:Harvs.
- Measurable_cardinal wikiPageUsesTemplate Template:Harvtxt.
- Measurable_cardinal wikiPageUsesTemplate Template:Math.
- Measurable_cardinal wikiPageUsesTemplate Template:Mvar.
- Measurable_cardinal wikiPageUsesTemplate Template:Reflist.
- Measurable_cardinal year "1930".
- Measurable_cardinal subject Category:Determinacy.
- Measurable_cardinal subject Category:Large_cardinals.
- Measurable_cardinal subject Category:Measures_(set_theory).
- Measurable_cardinal hypernym Kind.
- Measurable_cardinal comment "In mathematics, a measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces a two-valued measure on a cardinal κ, or more generally on any set. For a cardinal κ, it can be described as a subdivision of all of its subsets into large and small sets such that κ itself is large, ∅ and all singletons {α}, α ∈ κ are small, complements of small sets are large and vice versa.".
- Measurable_cardinal label "Measurable cardinal".
- Measurable_cardinal sameAs Q925445.
- Measurable_cardinal sameAs Měřitelný_kardinál.
- Measurable_cardinal sameAs Cardinal_mesurable.
- Measurable_cardinal sameAs מונה_מדיד.
- Measurable_cardinal sameAs Mérhető_számosság.
- Measurable_cardinal sameAs 가측_기수.
- Measurable_cardinal sameAs Liczba_mierzalna.
- Measurable_cardinal sameAs Cardinal_mensurável.
- Measurable_cardinal sameAs m.01kwmm.
- Measurable_cardinal sameAs Q925445.
- Measurable_cardinal wasDerivedFrom Measurable_cardinal?oldid=676884963.
- Measurable_cardinal isPrimaryTopicOf Measurable_cardinal.