Statements (27)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:aleph-null |
cardinality of natural numbers
smallest infinite cardinal |
gptkbp:aleph-one |
next cardinal after aleph-null
|
gptkbp:describes |
cardinalities of infinite sets
|
gptkbp:distinctFrom |
gptkb:beth_numbers
|
gptkbp:field |
gptkb:set_theory
|
gptkbp:firstLine |
aleph-null
|
https://www.w3.org/2000/01/rdf-schema#label |
aleph numbers
|
gptkbp:infiniteSequence |
yes
|
gptkbp:introduced |
gptkb:Georg_Cantor
|
gptkbp:notation |
ℵ₀, ℵ₁, ℵ₂, ...
|
gptkbp:relatedTo |
cardinal numbers
ordinal numbers |
gptkbp:symbol |
ℵ
|
gptkbp:usedIn |
gptkb:continuum_hypothesis
gptkb:logic gptkb:transfinite_arithmetic foundations of mathematics |
gptkbp:usedToClassify |
sizes of infinite sets
|
gptkbp:bfsParent |
gptkb:Continuum_hypothesis
gptkb:Georg_Cantor's_set_theory gptkb:continuum_hypothesis gptkb:Set_Theory gptkb:Set_theory gptkb:Cardinal_Arithmetic |
gptkbp:bfsLayer |
5
|