《Equivalents of The Axiom of Choice》

PART Ⅰ-Set Forms1

1.The Well-Ordering Theorem1

2.The Axiom of Choice4

3.The Law of the Trichotomy9

4.Maximal Principles10

5.Algebraic Forms37

6.Cardinal Number Forms47

7.Additional Forms63

PART Ⅱ-Class Forms83

1.The Well-Ordering Theorem84

2.The Axiom of Choice85

3.Maximal Principles89

4.Additional Forms107

List of the Set Forms111

List of the Class Forms120

List of Forms weaker than the Axiom of Choice125

Bibliography126

Index of Special Letters and Symbols131

Index of technical terms133

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