数理逻辑(第2版) [Mathematical Logic]

数理逻辑(第2版) [Mathematical Logic] 下载 mobi epub pdf 电子书 2024


简体网页||繁体网页
[德] 艾宾浩斯 著



点击这里下载
    


想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-05

类似图书 点击查看全场最低价

图书介绍

出版社: 世界图书出版公司
ISBN:9787506292276
版次:1
商品编码:10096474
包装:平装
外文名称:Mathematical Logic
开本:24开
出版时间:2008-05-01
用纸:胶版纸
页数:289
正文语种:英语


相关图书





图书描述

编辑推荐

  A short digression into model theory will help us to analyze the expressive power of the first-order language, and it will turn out that there are certain deficiencies. For example, the first-order language does not allow the formulation of an adequate axiom system for arithmetic or analysis. On the other hand, this di~culty can be overcome——-even in the framework of first-order logic——by developing mathematics in set-theoretic terms. We explain the prerequisites from set theory necessary for this purpose and then treat the subtle relation between logic and set theory in a thorough manner.
  Godels incompleteness theorems are presented in connection with several related results (such as Trahtenbrots theorem) which all exemplify the limitatious of machine-oriented proof methods. The notions of computability theory that are relevant to this discussion are given in detail. The concept of computability is made precise by means of the register machine as a

内容简介

  What is a mathematical proof? How can proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs?
  Only in this century has there been success in obtaining substantial and satisfactory answers. The present book contains a systematic discussion of these results. The investigations are centered around first-order logic. Our first goal is Godels completeness theorem, which shows that the consequence relation coincides with formal provability: By means of a calculus consisting of simple formal inference rules, one can obtain all consequences of a given axiom system (and in particular, imitate all mathematical proofs)

内页插图

目录

Preface
PART A
ⅠIntroduction
1.An Example from Group Theory
2.An Example from the Theory of Equivalence Relations
3.A Preliminary Analysis
4.Preview
Ⅱ Syntax of First-Order Languages
1.Alphabets
2.The Alphabet of a First-Order Language
3.Terms and Formulas in First-Order Languages
4.Induction in the Calculus of Terms and in the Calculus of Formulas
5.Free Variables and Sentences
Ⅲ Semantics of First-Order Languages
1.Structures and Interpretations
2.Standardization of Connectives
3.The Satisfaction Relation
4.The Consequence Relation
5.Two Lemmas on the Satisfaction Relation
6.Some simple formalizations
7.Some remarks on Formalizability
8.Substitution
Ⅳ A Sequent Calculus
1.Sequent Rules
2.Structural Rules and Connective Rules
3.Derivable Connective Rules
4.Quantifier and Equality Rules
5.Further Derivable Rules and Sequents
6.Summary and Example
7.Consistency
ⅤThe Completeness Theorem
1.Henkin’S Theorem.
2. Satisfiability of Consistent Sets of Formulas(the Countable Casel
3. Satisfiability of Consistent Sets of Formulas(the General Case)
4.The Completeness Theorem
Ⅵ The LSwenheim-Skolem and the Compactness Theorem
1.The L6wenheim-Skolem Theorem.
2.The Compactness Theorem
3.Elementary Classes
4.Elementarily Equivalent Structures
Ⅶ The Scope of First-Order Logic
1.The Notion of Formal Proof
2.Mathematics Within the Framework of Fimt—Order Logic
3.The Zermelo-Fraenkel Axioms for Set Theory.
4.Set Theory as a Basis for Mathematics
Ⅷ Syntactic Interpretations and Normal Forms
1.Term-Reduced Formulas and Relational Symbol Sets
2.Syntactic Interpretations
3.Extensions by Definitions
4.Normal Forms
PART B
Ⅸ Extensions of First-order logic
Ⅹ Limitations of the Formal Method
Ⅺ Free Models and Logic Programming
Ⅻ An Algebraic Characterization of Elementary Equivalence
ⅩⅢ Lindstrom’s Theorems
References
Symbol Index
Subject Index

前言/序言



数理逻辑(第2版) [Mathematical Logic] 下载 mobi epub pdf txt 电子书 格式

数理逻辑(第2版) [Mathematical Logic] mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

数理逻辑(第2版) [Mathematical Logic] 下载 mobi pdf epub txt 电子书 格式 2024

数理逻辑(第2版) [Mathematical Logic] 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

发展

评分

商品不错,就是撞到了,送货要注意。

评分

还不错,活动买的,价格合适

评分

信价比还可以,书的质量不错

评分

发展

评分

目录

评分

对学习研究专业领域有价值

评分

放购物车里久了都忘了是英文的了…

评分

1适合有些逻辑基础的人来学习。

类似图书 点击查看全场最低价

数理逻辑(第2版) [Mathematical Logic] mobi epub pdf txt 电子书 格式下载 2024


分享链接








相关图书


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 book.teaonline.club All Rights Reserved. 图书大百科 版权所有