Lectures in Logic and Set Theory: Volume 2, Set Theory
Seiten
2003
Cambridge University Press (Verlag)
978-0-521-75374-6 (ISBN)
Cambridge University Press (Verlag)
978-0-521-75374-6 (ISBN)
This work provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature.
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
Preface; 1. A bit of logic: a user's toolbox; 2. The set-theoretic universe, naively; 3. The axioms of set theory; 4. The axiom of choice; 5. The natural numbers; transitive closure; 6. Order; 7. Cardinality; 8. Forcing; Bibliography; List of symbols; Index.
| Erscheint lt. Verlag | 13.2.2003 |
|---|---|
| Reihe/Serie | Cambridge Studies in Advanced Mathematics |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 880 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-521-75374-0 / 0521753740 |
| ISBN-13 | 978-0-521-75374-6 / 9780521753746 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
World Scientific Publishing Co Pte Ltd (Verlag)
CHF 43,60
what we have that machines don't
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
CHF 19,15
how simple questions lead us to mathematics’ deepest truths
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
CHF 19,15
