continuum hypothesis

No set has size between integer-set size and real-number-set size {continuum hypothesis} {continuum problem}. No aleph is between aleph naught and aleph one. Raising any positive integer to aleph-naught power results in aleph one.

indeterminible

Continuum hypothesis is indeterminable under set theory.

generalized continuum hypothesis

Positive integers raised to aleph n power equal aleph n+1 {generalized continuum hypothesis}. Generalized continuum hypothesis is independent of set theory.

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