# generalized continuum hypothesis

generalized continuum hypothesis
The hypothesis that, for each ordinal <math>\\alpha</math>, there is no cardinal number strictly between <math>\\aleph_\\alpha</math> and <math style="vertical-align:-0%;">2^\\aleph_\\alpha</math>, i.e. <math style="vertical-align:-20%;">2^\\aleph_\\alpha=\\aleph_\\alpha+1</math>.

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