Preface1. Introduction2. Use of the axiom of choice3. Consistency of the axiom of choice4. Permutation models5. Independence of the axiom of choice6. Embedding theorems7. Models with finite supports8. Some weaker versions of the axiom of choice9.
Nontransferable statements10. Mathematics without choice11. Cardinal numbers in set theory without choice12. Some properties contradicting the axiom of choiceAppendix 1. Equivalents of the axiom of choiceAppendix 2.
Equivalents of the Prime Ideal TheoremAppendix 3. Various independence resultsAppendix 4. Miscellaneous examplesReferencesAuthor IndexSubject IndexList of Symbols