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="verticalalign:0%;">2^\\aleph_\\alpha</math>,
i.e. <math style="verticalalign:20%;">2^\\aleph_\\alpha=\\aleph_\\alpha+1</math>.
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