
The Theory of Semisets
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Content
- Front Cover
- The Theory of Semisets
- Copyright Page
- Contents
- Introduction
- CHAPTER I.
- SECTION 1. THE THEORY OF CLASSES
- SECTION 2. LOGICAL FOUNDATIONS
- SECTION 3. THE THEORY OF CLASSES CONTINUED
- SECTION 4. THE THEORY OF SEMISETS
- CHAPTER II.
- SECTION 1. ORDINAL NUMBERS
- SECTION 2. EQUIVALENCE AND SUBVALENCE OF SETS
- CARDINAL NUMBERS
- SECTION 3. THE FIRST AXIOM OF CHOICE
- SECTION 4. COMPLETE BOOLEAN ALGEBRAS
- SECTION 5. ORDERED AND SEPARATIVELY ORDERED SETS
- CHAPTER III.
- SECTION 1. THE SECOND AND THIRD AXIOMS OF REGULARITY
- THE SECOND AXIOM OF CHOICE. AXIOMS CONCERNING URELEMENTS
- SECTION 2. MODEL-CLASSES AND SET-UNIVERSAL RELATIONS. INDEPENDENCE OF AXIOM (D3)
- SECTION 3. SYMMETRIC SETS AND THE INDEPENDENCE OF AXIOM (E1) IN TSS'
- SECTION 4. DEFINABLE SETS AND THE CONSISTENCY OF THE AXIOM OF CHOICE (E2)
- THE THIRD AXIOM OF CHOICE
- SECTION 5. CONSTRUCTIBLE SETS AND THE AXIOM OF CONSTRUCTIBILITY. THE CONSISTENCY OF THE AXIOMS (E3) AND (CONT)
- CHAPTER IV.
- SECTION 1. AXIOMS OF SUPPORT
- SECTION 2. BOOLEAN SUPPORTS
- SECTION 3. PROPERTIES OF COMPLETE ULTRAFILTERS
- CHAPTER V.
- SECTION 1. THE FULL UPWARD EXTENSION OF THE UNIVERSE
- SECTION 2. THE ULTRAPRODUCT MODEL
- SECTION 3. CHARACTERISTICS OF COMPLETE BOOLEAN ALGEBRAS AND PROPERTIES OF RELATIONS AND FUNCTIONS
- CHAPTER VI.
- SECTION 1. INDEPENDENCE OF THE AXIOM OF CONTINUUM
- SECTION 2. INDEPENDENCE OF THE AXIOM OF CHOICE
- SECTION 3. SUPPORT OF ONE MODEL-CLASS OVER ANOTHER
- SECTION 4. BOOLEAN VALUES AND FORCING
- BIBLIOGRAPHY
- INDEX
- INDEX OF SYMBOLS
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