UID:
almahu_9947368117302882
Format:
1 online resource (333 p.)
ISBN:
1-283-52543-7
,
9786613837882
,
0-08-095481-2
Series Statement:
Studies in logic and the foundations of mathematics ; v. 70
Content:
Provability, Computability and Reflection
Note:
Description based upon print version of record.
,
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
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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
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SECTION 3. CHARACTERISTICS OF COMPLETE BOOLEAN ALGEBRAS AND PROPERTIES OF RELATIONS AND FUNCTIONSCHAPTER 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
,
English
Additional Edition:
ISBN 0-7204-2267-1
Language:
English
