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Generalized continuum hypothesis

Noun

Definitionen

1.NounThe hypothesis that, for each ordinal α {\displaystyle \alpha } , there is no cardinal number strictly between ℵ α {\displaystyle \aleph _{\alpha }} and 2 ℵ α {\displaystyle 2^{\aleph _{\alpha }}} , i.e. 2 ℵ α = ℵ α + 1 {\displaystyle 2^{\aleph _{\alpha }}=\aleph _{\alpha +1}} .
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