Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:controversy |
non-constructive proof
|
| gptkbp:equivalentTo |
gptkb:Zorn's_lemma
axiom of choice |
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
well-ordering theorem
|
| gptkbp:implies |
axiom of choice
|
| gptkbp:namedAfter |
well-ordering
|
| 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 |
transfinite induction
set-theoretic proofs |
| gptkbp:yearProved |
1904
|
| gptkbp:bfsParent |
gptkb:Kuratowski–Zorn_lemma
|
| gptkbp:bfsLayer |
6
|