Set Theory

Professor, University of Wisconsin305 Van Vleck Hall480 Lincoln DriveMadison, WI 53706E-Mail: [e-mail]: [phone]Ph.D., Stanford University, 1968Interests: set theory, automated deduction, topology, measure theory.

出版者:North Holland

作者:Kenneth Kunen

页数:314

出版时间:1983-12-15

价格:USD 99.95

装帧:Paperback

isbn号码:9780444868398

丛书系列:Studies in Logic and the Foundations of Mathematics

图书标签:集合论逻辑学数学数理逻辑Mathematics-Set_TheoryMath逻辑语言学

承接 住宅 自建房 室内改造 装修设计 免费咨询 QQ：624617358 一级注册建筑师 亲自为您回答、经验丰富，价格亲民。无论项目大小，都全力服务。期待合作，欢迎咨询！QQ：624617358

Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose research is sensitive to axiomatics. The readers should have had the equivalent of an undergraduate course on cardinals and ordinals, but no specific training in logic is necessary. The volume includes a discussion of modern techniques in forcing, as well as coverage of infinitary combinatorics and its relevance to independence proofs. The work also features a lucid treatment of basic facts about constructibility.

用户评价

完全读不懂

还差最后一章有点读不动了于是就来标记了，感觉整个寒假都被它耽误了，还在重要定义上有typo害我焦虑了好久“怎么这么多定理不会证”....（感觉变成了在放假期间忧心工作、眼看着大好光阴却无法好好享受的身不由己的大人）

比jech的更难

比jech的更难

前面两章似乎比要比jech可读性更强（尽管一些结论没有证明或直接留做了习题），主要内容是介绍力迫法。读者最好有“普通集合论”（不讲独立性证明，但比较详细的介绍序数和基数）的基础。