TY - BOOK AU - Halmos, Paul R AU - Halmos, Paul R TI - Naive Set Theory T2 - Dover Books on Mathematics SN - 9780486814872 U1 - 512.817 HAL PY - 2017/// CY - Mineola, New York PB - : Dover Publications, KW - Mathematics KW - Algebra KW - Set theory KW - Arithmetic -- Foundations KW - Relations KW - Functions N1 - The axiom of extension -- The axiom of specification -- Unordered pairs -- Unions and intersections -- Complements and powers -- Ordered pairs -- Relations -- Functions -- Families -- Inverses and composites -- Numbers -- The Peano axioms -- Arithmetic -- Order -- The axiom of choice -- Zorn's lemma -- Well ordering -- Transfinite recursion -- Ordinal numbers -- Sets of ordinal numbers -- Ordinal arithmetic -- The Schröder-Bernstein theorem -- Countable sets -- Cardinal arithmetic -- Cardinal numbers ER -