Set Theory
Seiten
2022
Cambridge University Press (Verlag)
978-1-108-98691-5 (ISBN)
Cambridge University Press (Verlag)
978-1-108-98691-5 (ISBN)
This Element will offer a concise introduction to set theory, 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.
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.
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.
| Erscheinungsdatum | 07.03.2022 |
|---|---|
| Reihe/Serie | Elements in Philosophy and Logic |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 151 x 229 mm |
| Gewicht | 140 g |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-108-98691-9 / 1108986919 |
| ISBN-13 | 978-1-108-98691-5 / 9781108986915 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
ein Gegenentwurf zum kurzfristigen Denken : so werden wir zu den …
Buch | Hardcover (2023)
REDLINE (Verlag)
CHF 27,90
