Chapter 1　INTRODUCTION　1 Baby Set Theory　1 Sets-An Informal View 7 Classes　10 Axiomatic method　10 Notation　13 Historical Notes　14 Chatper 2　AXIOMS AND OPERATIONS　17 Axioms　17 Arbitrary Unions and Intersections　23 Algebra of Sets　27 Epilogue　33 Review Exercises　33 Chapter 3　RELATIONS AND FUNCTIONS　35 Ordered Pairs　35 Relations　39 n-Ary Relations　41 Functions　42 Infinite Cartesian Products　54 Equivalence Relations　55 Ordering Relations　62 Review Exercises　64 Chapter 4　NATURAL NUMBERS　67 Inductive Sets　67 Peano's Postulates　70 Recursion on　73 Arithmetic　79 Ordering on　83 Review Exercises　88 Chapter 5　CONSTRUCTION OF THE REAL NUMBERS　90 Integers　90 Rational Numbers　101 Real Numbers　111 Summaries　121 Two　123 Chapter 6　CARDINAL NUMBERS AND THE AXIOM OF CHIOCE　128 Equinumerosity　128 Finite Sets　133 Cardinal Arithmetic　138 Ordering Cardinal Numbers　145 Axiom of Choice　151 Countable Sets　159 Arithmetic of Infinite Cardinals　162 Continuum Hypothesis　165 Chapter 7　ORDERINGS AND ORDINALS　167 Partial Orderings　167 Well Orderings　172 Replacement Axioms　179 Epsilon-Images　182 Isomorphisms　184 Ordinal Numbers　187 Debts Paid　195 Rank　200 Chapter 8　ORDINALS AND ORDER TYPES　209 Transfinite Recursion Again　209 Alephs　212 Ordinal Operations　215 Isomorphism Types　220 Arithmetic of Order Types　222 Ordinal Arithmetic　227 Chapter 9　SPECIAL TOPICS　241 Well-Founded Relations　241 Natural Models　249 Cofinality　257 Appendix　NOTATION, LOGIC, AND PROOFS　263 Selected References for Further Study　269 List of Axioms　271 Index　273