31. In the 1960s, Cohen proved that neither is provable from ZF, and the continuum hypothesis cannot be proved from ZFC. 32. He used his axioms in his 1940 monograph on the relative consistency of global choice and the generalized continuum hypothesis . 33. His continuum hypothesis is the proposition that \ mathfrak { c } is the same as \ aleph _ 1. 34. Using a Eulerian model ( the continuum hypothesis ), fluid motion can be described in terms of acceleration or velocity. 35. If the generalized continuum hypothesis holds, then a cardinal is strongly inaccessible if and only if it is weakly inaccessible. 36. The continuum hypothesis postulates that the cardinality of the continuum is equal to \ aleph _ 1 which is regular. 37. In 1904, at the third International Congress of Mathematicians at Heidelberg, KQnig gave a talk to disprove Cantor's continuum hypothesis . 38. However, the truth of the continuum hypothesis depends on the version of set theory you are using and so is undecidable. 39. The Platonist claim that every intelligence must produce prime numbers, pi and the continuum hypothesis is an example of simple anthropomorphism, 40. The continuum hypothesis is a statement in the language of ZFC that is not provable within ZFC, so ZFC is not complete.
