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