continuum (set theory)

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf cardinality
gptkbp:alsoKnownAs cardinality of the continuum
gptkbp:cardinality 2^ℵ₀
gptkbp:contrastsWith ℵ₁ (aleph one)
gptkbp:defines the cardinality of the set of real numbers
gptkbp:field gptkb:mathematics
gptkb:set_theory
gptkbp:greaterThan ℵ₀
gptkbp:hasCardinality uncountable
https://www.w3.org/2000/01/rdf-schema#label continuum (set theory)
gptkbp:isCardinalityOf complex numbers
real numbers
interval [0,1]
any nonempty open interval of real numbers
interval (0,1)
interval (−∞, ∞)
power set of natural numbers
gptkbp:isFinite true
gptkbp:isUncountable true
gptkbp:namedFor gptkb:Georg_Cantor
gptkbp:notation c
2^{ℵ₀}
|ℝ|
gptkbp:openQuestion gptkb:continuum_hypothesis
gptkbp:relatedTo gptkb:continuum_hypothesis
real numbers
power set of natural numbers
gptkbp:symbol c
gptkbp:bfsParent gptkb:cardinal_characteristics_of_the_continuum
gptkbp:bfsLayer 7