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008 221028 ||| eng
020 |a 9780080954813 
050 4 |a QA248 
100 1 |a Vopěnka, Petr 
245 0 0 |a The theory of semisets  |c Petr Vopěnka and Petr Hájek 
260 |a Amsterdam  |b North-Holland Pub. Co.  |c 1972, 1972 
300 |a 332 pages 
505 0 |a 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 
505 0 |a 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 
505 0 |a 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 
505 0 |a Includes bibliographical references 
653 |a Set theory / http://id.loc.gov/authorities/subjects/sh85120387 
653 |a MATHEMATICS / Logic / bisacsh 
653 |a Teoria Dos Conjuntos / larpcal 
653 |a Théorie des ensembles 
653 |a Set theory / fast / (OCoLC)fst01113587 
653 |a MATHEMATICS / Infinity / bisacsh 
700 1 |a Hájek, Petr 
041 0 7 |a eng  |2 ISO 639-2 
989 |b ZDB-1-ELC  |a Elsevier eBook collection Mathematics 
490 0 |a Studies in logic and the foundations of mathematics 
500 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 
776 |z 0080954812 
776 |z 9780720422672 
776 |z 0720422671 
776 |z 9780080954813 
856 4 0 |u https://www.sciencedirect.com/science/bookseries/0049237X/70  |x Verlag  |3 Volltext 
082 0 |a 511/.3 
520 |a Provability, Computability and Reflection