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Cover: 9781108986915 | Set Theory | John P. Burgess | Taschenbuch | Paperback | Englisch
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Set Theory
Taschenbuch von John P. Burgess
Sprache: Englisch

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Beschreibung
Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.
Set theory is a branch of mathematics with a special subject matter, the infinite, but also a general framework for all modern mathematics, whose notions figure in every branch, pure and applied. This Element will offer a concise introduction, treating the origins of the subject, the basic notion of set, the axioms of set theory and immediate consequences, the set-theoretic reconstruction of mathematics, and the theory of the infinite, touching also on selected topics from higher set theory, controversial axioms and undecided questions, and philosophical issues raised by technical developments.
Inhaltsverzeichnis
1. Historical Roots; 2. The Notion of Set; 3. The Zermelo-Fraenkel Axioms; 4. Immediate Consequences; 5. Number Systems within Set Theory; 6. Infinities; 7. The Axiom of Choice; 8. Topics in Higher Set Theory; 9. Metamathematics of Set Theory; 10. Large Cardinals and Determinacy; 11. Concluding Philosophical Remarks.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108986915
ISBN-10: 1108986919
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Burgess, John P.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 5 mm
Von/Mit: John P. Burgess
Erscheinungsdatum: 02.02.2022
Gewicht: 0,134 kg
Artikel-ID: 120705901
Inhaltsverzeichnis
1. Historical Roots; 2. The Notion of Set; 3. The Zermelo-Fraenkel Axioms; 4. Immediate Consequences; 5. Number Systems within Set Theory; 6. Infinities; 7. The Axiom of Choice; 8. Topics in Higher Set Theory; 9. Metamathematics of Set Theory; 10. Large Cardinals and Determinacy; 11. Concluding Philosophical Remarks.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Philosophie
Jahrhundert: Antike
Rubrik: Geisteswissenschaften
Thema: Lexika
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108986915
ISBN-10: 1108986919
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Burgess, John P.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 5 mm
Von/Mit: John P. Burgess
Erscheinungsdatum: 02.02.2022
Gewicht: 0,134 kg
Artikel-ID: 120705901
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