Introduction to Mathematical Logic

Introduction to Mathematical Logic

简介:

本书探讨了数学逻辑的主要主题。它涵盖了命题逻辑,一阶逻辑,一阶数论,公理集理论和可计算性理论。本文还讨论了哥德尔,丘奇,克莱恩,罗瑟和图灵的主要成果。

从目录: 参考文献; 1.导言。2.逻辑是什么?命题逻辑; 3.谓词逻辑; 4.完备性定理 (模型论); 5.正常的形式。解析方法; 6.杂项 (否定为矛盾或荒谬)。

英文简介:

This book explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.

From the table of contents: References; 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).

书名
Introduction to Mathematical Logic
译名
数理逻辑导论
语言
英语
年份
2021
页数
260页
大小
1.22 MB
标签
  • 数学
  • 下载
    pdf iconIntroduction to Mathematical Logic.pdf
    密码
    65536

    最后更新:2025-04-12 23:58:02

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