continuum hypothesis

The continuum hypothesis that there is no cardinal number $\\kappa$ such that $\\aleph_{0}<\\kappa<2^{\\aleph_{0}}$ .

An equivalent statement is that $\\aleph_{1}=2^{\\aleph_{0}}$ .

It is known to be of the axioms of ZFC.

The continuum hypothesis can also be stated as: there is no subset of the real numbers which has cardinality strictly between that of the reals and that of the integers. It is from this that the name comes, since the set of real numbers is also known as the continuum.

单词	ContinuumHypothesis
释义	continuum hypothesis The continuum hypothesis that there is no cardinal number $\\kappa$ such that $\\aleph_{0}<\\kappa<2^{\\aleph_{0}}$ . An equivalent statement is that $\\aleph_{1}=2^{\\aleph_{0}}$ . It is known to be of the axioms of ZFC. The continuum hypothesis can also be stated as: there is no subset of the real numbers which has cardinality strictly between that of the reals and that of the integers. It is from this that the name comes, since the set of real numbers is also known as the continuum.
随便看	PositionVector position vector Positive positive PositiveCone positive cone PositiveDefinite positive definite PositiveDefiniteForm positive definite form PositiveElement positive element PositiveLinearFunctional positive linear functional PositiveMultipleOfAnAbundantNumberIsAbundant positive multiple of an abundant number is abundant PositiveMultipleOfASemiperfectNumberIsAlsoSemiperfect positive multiple of a semiperfect number is also semiperfect PositiveRoot positive root PositiveSemidefinite positive semidefinite positive semidefinite PositiveSemidefinite1 PositivityInOrderedRing