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Weak continuum hypothesis

The term weak continuum hypothesis can be used to refer to the hypothesis that 2 ℵ 0 < 2 ℵ 1 {\displaystyle 2^{\aleph _{0}}<2^{\aleph _{1}}} , which is the negation of the second continuum hypothesis.: 80 : Lecture 7 : 3616 It is equivalent to a weak form of ◊ on ℵ 1 {\displaystyle \aleph _{1}} .: 2 F. Burton Jones proved that if it is true, then every…

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