Second continuum hypothesis

id: second-continuum-hypothesis-185-10799095
title: Second continuum hypothesis
text: The second continuum hypothesis, also called Luzin's hypothesis or Luzin's second continuum hypothesis, is the hypothesis that 2 ℵ 0 = 2 ℵ 1. It is the negation of a weakened form, 2 ℵ 0 < 2 ℵ 1, of the Continuum Hypothesis (CH). It was discussed by Nikolai Luzin in 1935, although he did not claim to be the first to postulate it. The statement 2 ℵ 0 < 2 ℵ 1 may also be called Luzin's hypothesis. The second continuum hypothesis is independent of Zermelo–Fraenkel set theory with the Axiom of Choic
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Second_continuum_hypothesis
date created: 2023-12-19T16:20:53Z
date modified: 2024-09-07T20:13:38Z
main entity: {"identifier":"Q124096694","url":"https://www.wikidata.org/entity/Q124096694"}
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fields total: 13
integrity: 14

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