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- Continuum_hypothesis abstract "In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis, advanced by Georg Cantor in 1878, about the possible sizes of infinite sets. It states:There is no set whose cardinality is strictly between that of the integers and the real numbers.Establishing the truth or falsehood of this hypothesis is the first of Hilbert's 23 problems presented in the year 1900. In 1963, Paul Cohen proved that the hypothesis is independent of the axioms of Zermelo–Fraenkel set theory with the axiom of choice (ZFC), a standard axiomatization of set theory, complementing earlier work by Kurt Gödel in 1940. Such independence means that ZFC can be augmented by either CH or its negation ¬CH, in both cases producing a system of axioms that is consistent if and only if ZFC is consistent.The name of the hypothesis comes from the term the continuum for the real numbers.Cohen was awarded the Fields Medal in 1966 for his proof.".
- Continuum_hypothesis wikiPageExternalLink EFI_CH.pdf.
- Continuum_hypothesis wikiPageExternalLink EFI_Feferman_comments.pdf.
- Continuum_hypothesis wikiPageExternalLink efi.php.
- Continuum_hypothesis wikiPageExternalLink IsCHdefinite-slides.pdf.
- Continuum_hypothesis wikiPageExternalLink IsCHdefinite.pdf.
- Continuum_hypothesis wikiPageExternalLink fea-woodin.pdf.
- Continuum_hypothesis wikiPageExternalLink fea-woodin.pdf.
- Continuum_hypothesis wikiPageExternalLink ch.
- Continuum_hypothesis wikiPageExternalLink Gillman544-553.pdf.
- Continuum_hypothesis wikiPageExternalLink foreman.pdf.
- Continuum_hypothesis wikiPageID "5705".
- Continuum_hypothesis wikiPageRevisionID "597251723".
- Continuum_hypothesis author "Szudzik, Matthew and Weisstein, Eric W.".
- Continuum_hypothesis hasPhotoCollection Continuum_hypothesis.
- Continuum_hypothesis id "1184".
- Continuum_hypothesis id "ContinuumHypothesis".
- Continuum_hypothesis title "Continuum Hypothesis".
- Continuum_hypothesis title "Generalized continuum hypothesis".
- Continuum_hypothesis subject Category:Basic_concepts_in_infinite_set_theory.
- Continuum_hypothesis subject Category:Cardinal_numbers.
- Continuum_hypothesis subject Category:Forcing_(mathematics).
- Continuum_hypothesis subject Category:Hilbert's_problems.
- Continuum_hypothesis subject Category:Hypotheses.
- Continuum_hypothesis subject Category:Independence_results.
- Continuum_hypothesis subject Category:Infinity.
- Continuum_hypothesis type Abstraction100002137.
- Continuum_hypothesis type Attribute100024264.
- Continuum_hypothesis type BasicConceptsInInfiniteSetTheory.
- Continuum_hypothesis type CardinalNumber113597585.
- Continuum_hypothesis type CardinalNumbers.
- Continuum_hypothesis type Cognition100023271.
- Continuum_hypothesis type Communication100033020.
- Continuum_hypothesis type Concept105835747.
- Continuum_hypothesis type Condition113920835.
- Continuum_hypothesis type Content105809192.
- Continuum_hypothesis type DefiniteQuantity113576101.
- Continuum_hypothesis type Difficulty114408086.
- Continuum_hypothesis type Hilbert'sProblems.
- Continuum_hypothesis type Hypotheses.
- Continuum_hypothesis type Hypothesis107162545.
- Continuum_hypothesis type Idea105833840.
- Continuum_hypothesis type Measure100033615.
- Continuum_hypothesis type Message106598915.
- Continuum_hypothesis type Number113582013.
- Continuum_hypothesis type Problem114410605.
- Continuum_hypothesis type Proposal107162194.
- Continuum_hypothesis type PsychologicalFeature100023100.
- Continuum_hypothesis type State100024720.
- Continuum_hypothesis comment "In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis, advanced by Georg Cantor in 1878, about the possible sizes of infinite sets. It states:There is no set whose cardinality is strictly between that of the integers and the real numbers.Establishing the truth or falsehood of this hypothesis is the first of Hilbert's 23 problems presented in the year 1900.".
- Continuum_hypothesis label "Continuum hypothesis".
- Continuum_hypothesis label "Continuümhypothese".
- Continuum_hypothesis label "Hipoteza continuum".
- Continuum_hypothesis label "Hipótese do continuum".
- Continuum_hypothesis label "Hipótesis del continuo".
- Continuum_hypothesis label "Hypothèse du continu".
- Continuum_hypothesis label "Ipotesi del continuo".
- Continuum_hypothesis label "Kontinuumshypothese".
- Continuum_hypothesis label "Континуум-гипотеза".
- Continuum_hypothesis label "连续统假设".
- Continuum_hypothesis label "連続体仮説".
- Continuum_hypothesis sameAs Hypotéza_kontinua.
- Continuum_hypothesis sameAs Kontinuumshypothese.
- Continuum_hypothesis sameAs Hipótesis_del_continuo.
- Continuum_hypothesis sameAs Hypothèse_du_continu.
- Continuum_hypothesis sameAs Ipotesi_del_continuo.
- Continuum_hypothesis sameAs 連続体仮説.
- Continuum_hypothesis sameAs 연속체_가설.
- Continuum_hypothesis sameAs Continuümhypothese.
- Continuum_hypothesis sameAs Hipoteza_continuum.
- Continuum_hypothesis sameAs Hipótese_do_continuum.
- Continuum_hypothesis sameAs m.01qqb.
- Continuum_hypothesis sameAs Q208416.
- Continuum_hypothesis sameAs Q208416.
- Continuum_hypothesis sameAs Continuum_hypothesis.
- Continuum_hypothesis wasDerivedFrom Continuum_hypothesis?oldid=597251723.
- Continuum_hypothesis isPrimaryTopicOf Continuum_hypothesis.