This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.
發表於2024-11-25
Mathematical Logic 2024 pdf epub mobi 電子書 下載
圖書標籤: 數理邏輯 邏輯學 數學 mathematical_logic 教材 Logic First-order-Logic 邏輯
為瞭查一階邏輯的semantics找到此書,隻是大緻地翻瞭一下。很詳盡透徹,從axiom system談起,引齣formal system的定義,用嚴謹、形式化的語言講述一階邏輯的 syntax 和 semantics
評分Shoenfield 67年的這本M.L.這麼多年一直是數理邏輯研究生的經典教材。隻是以現在眼光看,四論每分支都提到,可惜限於教材體例篇幅,每一分支都不能太深入觸及;而且寫法和符號與40年後有點脫節。竊以為,更適宜溫習用。
評分為瞭查一階邏輯的semantics找到此書,隻是大緻地翻瞭一下。很詳盡透徹,從axiom system談起,引齣formal system的定義,用嚴謹、形式化的語言講述一階邏輯的 syntax 和 semantics
評分Shoenfield 67年的這本M.L.這麼多年一直是數理邏輯研究生的經典教材。隻是以現在眼光看,四論每分支都提到,可惜限於教材體例篇幅,每一分支都不能太深入觸及;而且寫法和符號與40年後有點脫節。竊以為,更適宜溫習用。
評分為瞭查一階邏輯的semantics找到此書,隻是大緻地翻瞭一下。很詳盡透徹,從axiom system談起,引齣formal system的定義,用嚴謹、形式化的語言講述一階邏輯的 syntax 和 semantics
Mathematical Logic 2024 pdf epub mobi 電子書 下載