Assertion: continuum hypothesis | /r/HasProperty | gch
Facets:
Source sentences:
text: There is also a generalization of the continuum hypothesis called the generalized continuum hypothesis (GCH) which says that for every ordinal α, 2 ℵ
text: The generalized continuum hypothesis (GCH) states that if an infinite set's cardinality lies between that of an infinite set S and that of the power set of S, then it either has the same cardinality as the set S or the same cardinality as the power set of S.
text: This is a special case of the generalized continuum hypothesis (GCH) which asserts that for all α, 2ℵ α = ℵ α+1 .