| 书目名称 | The Forcing Method in Set Theory |
| 副标题 | An Introduction via |
| 编辑 | Matteo Viale |
| 视频video | |
| 概述 | Unique textbook presenting an accurate and compact account of the topic via boolean valued models.Novel point of view outlining connections of forcing with model theory, general topology, functional a |
| 丛书名称 | UNITEXT |
| 图书封面 |  |
| 描述 | .The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory. The book follows the approach to the forcing technique via Boolean valued semantics independently introduced by Vopenka and Scott/Solovay; it develops out of notes I prepared for several master courses on this and related topics and aims to provide an alternative (and more compact) account of this topic with respect to the available classical textbooks. The aim of the book is to take up a reader with familiarity with logic and set theory at the level of an undergraduate course on both topics (e.g., familiar with most of the content of introductory books on first-order logic and set theory) and bring her/him to page with the use of the forcing method to produce independence (or undecidability results) in mathematics. Familiarity of the reader with general topology would also be quite helpful; however, the book provides a compact account of all the needed results on this matter. Furthermore, the book is organized in such a way that many of its parts can also be read by scholars |
| 出版日期 | Textbook 2024 |
| 关键词 | Logic; Set Theory; Boolean Algebras; Forcing; Boolean Valued Logic |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-71660-7 |
| isbn_softcover | 978-3-031-71659-1 |
| isbn_ebook | 978-3-031-71660-7Series ISSN 2038-5714 Series E-ISSN 2532-3318 |
| issn_series | 2038-5714 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:19:10
