The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory [texte imprimé] /
Godel, Kurt, Auteur . -
Princeton [Etats-Unis] : Princeton university press, 1940 . - 72 p. ; 23 cm. - (
Annals of mathematics studies; 3) .
ISBN : 978-0-691-07927-1
Titre de couv : The consistency of the contiuum hypothesis. -Bibliogr. p. 72
Langues : Anglais (
eng)
| Mots-clés : |
Ensembles, Théorie axiomatique des
Axiome du choix |
| Index. décimale : |
513 Géométrie |
| Note de contenu : |
Summary :
1.The axioms of abstract set theory.
2. Existance of classes and sets.
3. Ordinal numbers.
4. Cardinal numbers.
5. The model.
6. Proof of the axioms of groups A-D for the model.
7. Proof that V = L holds in the model.
8. Proof that V = L implies the axiom of choice and the generalised continuum hypothesis. |
The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory (1940)
