书目名称 | Mathematical Logic | 副标题 | On Numbers, Sets, St | 编辑 | Roman Kossak | 视频video | | 概述 | New edition includes countable categoricity, analyzed using examples from the first two parts of the book.Presents an introduction to formal mathematical logic and set theory.Presents simple yet nontr | 丛书名称 | Springer Graduate Texts in Philosophy | 图书封面 |  | 描述 | .This textbook is a second edition of the successful, Mathematical Logic: On Numbers, Sets, Structures, and Symmetry. It retains the original two parts found in the first edition, while presenting new material in the form of an added third part to the textbook. The textbook offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions...Part I, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. 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 usedto study and classify mathematical structures. The added Part III to the book is closer to what one finds in standard introductory mathematical textbooks. Definitions, theorems, and proofs that are introduced a | 出版日期 | Textbook 2024Latest edition | 关键词 | first-order logic introduction; Abstract symmetries; Number system development; Model theory; Formal ari | 版次 | 2 | doi | https://doi.org/10.1007/978-3-031-56215-0 | isbn_ebook | 978-3-031-56215-0Series ISSN 2627-6046 Series E-ISSN 2627-6054 | issn_series | 2627-6046 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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