query: Statements equivalent to the Continuum Hypothesis
positive_passages.docid: 28452
positive_passages.text: Statement that is provable in $ZFC+CH$ yet unprovable in $ZFC+\lnot CH$
negative_passages.docid: 137203
negative_passages.text: Measurable cardinal existence condition
negative_passages.docid: 67892
negative_passages.text: Infinum & Supremum: An Analysis on Relatedness
negative_passages.docid: 151215
negative_passages.text: Paradox of General Comprehension in Set Theory, other than Russell's Paradox
negative_passages.docid: 126713
negative_passages.text: Strong induction and vacuous truth
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$
negative_passages.docid: 147874
negative_passages.text: Why does the existence of independent statements not prove consistency?
negative_passages.docid: 17966
negative_passages.text: Representing the statement using Quantifiers
negative_passages.docid: 157215
negative_passages.text: Order of statements in the Delta-Epsilon Limit definition
negative_passages.docid: 23442
negative_passages.text: Cardinality of the union of infinite and countable sets
negative_passages.docid: 69838
negative_passages.text: Does a countably infinite power set exist?
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets
negative_passages.docid: 141299
negative_passages.text: Alternative set theories
negative_passages.docid: 14972
negative_passages.text: Cardinality of Vitali sets: countably or uncountably infinite?
negative_passages.docid: 150707
negative_passages.text: Prove the statement 'World is not flat'
negative_passages.docid: 97975
negative_passages.text: Does factor-wise continuity imply continuity?
negative_passages.docid: 128332
negative_passages.text: Counterexample to "Measurable in each variable separately implies measurable"