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|Continuum Hypothesis||Berka I 295
Definition continuum hypothesis/Cantor/Berka: (Cantor, 1884): if an infinite set of real numbers is not countable, then it is equal to the set of real numbers R itself.
The term "continuum hypothesis" emerged later.
Gödel: (1938) Gödel proved the relative consistency in the continuity hypothesis.
Independence/Cohen: (1963, 64): Cohen proved that the negation of continuum hypothesis is also consistent with the axioms of set theory, that is, he proved the independence of the continuum hypothesis from the set theory.
K. Berka/L. Kreiser
Logik Texte Berlin 1983