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- Axiom_of_real_determinacy abstract "In mathematics, the axiom of real determinacy (abbreviated as ADR) is an axiom in set theory. It states the following:Consider infinite two-person games with perfect information. Then, every game of length ω where both players choose real numbers is determined, i.e., one of the two players has a winning strategy.The axiom of real determinacy is a stronger version of the axiom of determinacy, which makes the same statement about games where both players choose integers; it is inconsistent with the axiom of choice. ADR also implies the existence of inner models with certain large cardinals.ADR is equivalent to AD plus the axiom of uniformization.".
- Axiom_of_real_determinacy wikiPageID "1121647".
- Axiom_of_real_determinacy wikiPageLength "905".
- Axiom_of_real_determinacy wikiPageOutDegree "16".
- Axiom_of_real_determinacy wikiPageRevisionID "358402829".
- Axiom_of_real_determinacy wikiPageWikiLink Axiom.
- Axiom_of_real_determinacy wikiPageWikiLink Axiom_of_choice.
- Axiom_of_real_determinacy wikiPageWikiLink Axiom_of_determinacy.
- Axiom_of_real_determinacy wikiPageWikiLink Axiom_of_uniformization.
- Axiom_of_real_determinacy wikiPageWikiLink Category:Axioms_of_set_theory.
- Axiom_of_real_determinacy wikiPageWikiLink Category:Determinacy.
- Axiom_of_real_determinacy wikiPageWikiLink Determinacy.
- Axiom_of_real_determinacy wikiPageWikiLink Inner_model.
- Axiom_of_real_determinacy wikiPageWikiLink Integer.
- Axiom_of_real_determinacy wikiPageWikiLink Large_cardinal.
- Axiom_of_real_determinacy wikiPageWikiLink Mathematics.
- Axiom_of_real_determinacy wikiPageWikiLink Ordinal_number.
- Axiom_of_real_determinacy wikiPageWikiLink Perfect_information.
- Axiom_of_real_determinacy wikiPageWikiLink Real_number.
- Axiom_of_real_determinacy wikiPageWikiLink Set_theory.
- Axiom_of_real_determinacy wikiPageWikiLink Uniformization_(set_theory).
- Axiom_of_real_determinacy wikiPageWikiLinkText "Axiom of real determinacy".
- Axiom_of_real_determinacy wikiPageWikiLinkText "axiom of real determinacy".
- Axiom_of_real_determinacy hasPhotoCollection Axiom_of_real_determinacy.
- Axiom_of_real_determinacy wikiPageUsesTemplate Template:Settheory-stub.
- Axiom_of_real_determinacy subject Category:Axioms_of_set_theory.
- Axiom_of_real_determinacy subject Category:Determinacy.
- Axiom_of_real_determinacy hypernym Axiom.
- Axiom_of_real_determinacy comment "In mathematics, the axiom of real determinacy (abbreviated as ADR) is an axiom in set theory. It states the following:Consider infinite two-person games with perfect information.".
- Axiom_of_real_determinacy label "Axiom of real determinacy".
- Axiom_of_real_determinacy sameAs m.047xr8.
- Axiom_of_real_determinacy sameAs Q4830559.
- Axiom_of_real_determinacy sameAs Q4830559.
- Axiom_of_real_determinacy wasDerivedFrom Axiom_of_real_determinacy?oldid=358402829.
- Axiom_of_real_determinacy isPrimaryTopicOf Axiom_of_real_determinacy.