{"product_id":"basic-set-theory","title":"Basic Set Theory","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: Berlin;New York: Springer-Verlag, 1979, in series: Perspectives in mathematical logic.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tPart A. Pure Set Theory \n\u003cbr\u003e Chapter I. The Basic Notions \n\u003cbr\u003e 1. The Basic Language of Set Theory \n\u003cbr\u003e 2. The Axioms of Extensionality and Comprehension \n\u003cbr\u003e 3. Classes, Why and How \n\u003cbr\u003e 4. Classes, the formal Introduction \n\u003cbr\u003e 5. The Axioms of Set Theory \n\u003cbr\u003e 6. Relations and functions \n\u003cbr\u003e Chapter II. Order and Well-Foundedness \n\u003cbr\u003e 1. Order \n\u003cbr\u003e 2. Well-Order \n\u003cbr\u003e 3. Ordinals \n\u003cbr\u003e 4. Natural Numbers and finite Sequences \n\u003cbr\u003e 5. Well-Founded Relations \n\u003cbr\u003e 6. Well-Founded Sets \n\u003cbr\u003e 7. The Axiom of Foundation \n\u003cbr\u003e Chapter III. Cardinal Numbers \n\u003cbr\u003e 1. Finite Sets \n\u003cbr\u003e 2. The Partial Order of the Cardinals \n\u003cbr\u003e 3. The Finite Arithmetic of the Cardinals \n\u003cbr\u003e 4. The Infinite Arithmetic of the Well Orderd Cardinals \n\u003cbr\u003e Chapter IV. The Ordinals \n\u003cbr\u003e 1. Ordinal Addition and Multiplication \n\u003cbr\u003e 2. Ordinal Exponentiation \n\u003cbr\u003e 3. Cofinality and Regular Ordinals \n\u003cbr\u003e 4. Closed Unbounded Classes and Stationery Classes \n\u003cbr\u003e Chapter V. The Axiom of Choice and Some of Its Consequences \n\u003cbr\u003e 1. The Axiom of Choice and Equivalent Statements \n\u003cbr\u003e 2. Some Weaker Versions of the Axiom of Choice \n\u003cbr\u003e 3. Definable Sets \n\u003cbr\u003e 4. Set Theory with Global Choice \n\u003cbr\u003e 5. Cardinal Exponentiation \n\u003cbr\u003ePart B. Applications and Advanced Topics \n\u003cbr\u003e Chapter VI. A Review of Point Set Topology \n\u003cbr\u003e 1. Basic concepts \n\u003cbr\u003e 2. Useful Properties and Operations \n\u003cbr\u003e 3. Category, Baire and Borel Sets \n\u003cbr\u003e Chapter VII. The Real Spaces \n\u003cbr\u003e 1. The Real Numbers \n\u003cbr\u003e 2. The Separable Complete Metric Spaces \n\u003cbr\u003e 3. The Close Relationship Between the Real Numbers, the Cantor Space and the Baire Space \n\u003cbr\u003e Chapter VIII. Boolean Algebras \n\u003cbr\u003e 1. The Basic Theory \n\u003cbr\u003e 2. Prime Ideals and Representation \n\u003cbr\u003e 3. Complete Boolean Algebras \n\u003cbr\u003e 4. Martin's Axiom \n\u003cbr\u003e Chapter IX. Infinite Combinatorics and Large Cardinals \n\u003cbr\u003e 1. The Axiom of Constructibility \n\u003cbr\u003e 2. Trees \n\u003cbr\u003e 3. Partition Properties \n\u003cbr\u003e 4. Measurable Cardinals \n\u003cbr\u003eAppendix X. The Eliminability and Conservation Theorems \n\u003cbr\u003e Bibliography; Additional Bibliography; Index of Notation; Index \n\u003cbr\u003eAppendix Corrections and Additions\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThe first part of this advanced-level text covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). 1979 edition.\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46431113904259,"sku":"SPTM-9780486420790","price":24.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486420790_spiral.png?v=1769659900","url":"https:\/\/sebink.com\/products\/basic-set-theory","provider":"Sebink","version":"1.0","type":"link"}