| 書(shū)目名稱 | Mathematical Logic | | 副標(biāo)題 | On Numbers, Sets, St | | 編輯 | Roman Kossak | | 視頻video | http://file.papertrans.cn/627/626203/626203.mp4 | | 概述 | Presents an introduction to formal mathematical logic and set theory.Presents simple yet nontrivial results in modern model theory.Provides introductory remarks to all results, including a historical | | 叢書(shū)名稱 | Springer Graduate Texts in Philosophy | | 圖書(shū)封面 |  | | 描述 | .This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. .Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. .The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book.?Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics | | 出版日期 | Textbook 20181st edition | | 關(guān)鍵詞 | first-order logic introduction; Abstract symmetries; Number system development; Set theory mathematics; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-97298-5 | | isbn_softcover | 978-3-030-07331-2 | | isbn_ebook | 978-3-319-97298-5Series ISSN 2627-6046 Series E-ISSN 2627-6054 | | issn_series | 2627-6046 | | copyright | Springer International Publishing AG part of Springer Nature 2018 |
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