Transcription of Introduction to Modern Set Theory
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Introduction to Modern Set Theory
Introduction to Modern Set TheoryJudith RoitmanDecember 6, 20111for my father, who loved mathematics1 Revised Edition Copyright 2011 by Judith Roitman, This book is licensed for use under a Creative CommonsLicense(CC BY-NC-ND ). You may download, share, and use this work at no charge, but may not modify norsell of ContentsPreface31. Partially ordered The structure of partially ordered Equivalence Well-ordered Mathematical Filters and Exercises2. Theories and their First-order Models and Exercises3. The axioms, part Why axioms? The language, some finite operations, and the axiom of Models of Models of Cartesian Union, intersection, Models of union and last3,6,1 Models of Power Models of power Models of Exercises24.
4. Regularity and choice 46 4.1 Regularity, part I 4,2 Transitive sets 4.3 A rst look at ordinals 4.4 Regularity, part II 4.5 Choice 4.6 Equivalents to AC
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