Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:equivalentTo |
gptkb:Zorn's_lemma
gptkb:Axiom_of_choice |
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Well-ordering theorem
|
| gptkbp:implies |
gptkb:Axiom_of_choice
|
| gptkbp:provenBy |
gptkb:Ernst_Zermelo
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
cardinal number
ordinal number |
| gptkbp:state |
Every set can be well-ordered
|
| gptkbp:usedIn |
set theory foundations
transfinite induction |
| gptkbp:yearProved |
1904
|
| gptkbp:bfsParent |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Axiom_of_Choice gptkb:Axiom_of_choice |
| gptkbp:bfsLayer |
5
|