Título: Lectures In Logic And Set Theory. Volume 2, Set Theory | ||
Autor: Tourlakis, George | Precio: $1235.00 | |
Editorial: Cambridge University Press | Año: 2003 | |
Tema: Matematicas, Algebra, Teorias | Edición: 1ª | |
Sinopsis | ISBN: 9780521753746 | |
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.
¦ User-friendly extensive discussion of issues that arise at the interface of axiomatics and mathematical `reality' ¦ Careful use of formal logic in proofs ¦ Advanced self-contained topics such as: internal models, absoluteness, induction and inductive operators, constructible universe, Cohen forcing. |