數理邏輯(第2版) [Mathematical Logic] pdf epub mobi txt 電子書 下載 2024

圖書介紹


數理邏輯(第2版) [Mathematical Logic]

簡體網頁||繁體網頁
[德] 艾賓浩斯 著



點擊這裡下載
    

想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-11-06


類似圖書 點擊查看全場最低價

齣版社: 世界圖書齣版公司
ISBN:9787506292276
版次:1
商品編碼:10096474
包裝:平裝
外文名稱:Mathematical Logic
開本:24開
齣版時間:2008-05-01
用紙:膠版紙
頁數:289
正文語種:英語

數理邏輯(第2版) [Mathematical Logic] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

相關圖書



數理邏輯(第2版) [Mathematical Logic] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

數理邏輯(第2版) [Mathematical Logic] pdf epub mobi txt 電子書 下載



具體描述

編輯推薦

  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

內容簡介

  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)

內頁插圖

目錄

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



數理邏輯(第2版) [Mathematical Logic] 下載 mobi epub pdf txt 電子書

數理邏輯(第2版) [Mathematical Logic] pdf epub mobi txt 電子書 下載
想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

用戶評價

評分

2書中的推演係統是矢列演算。通過學習以及與公理係統和自然推演係統的對比,可以更有助於整體的提高。

評分

好書

評分

結果

評分

挺不錯的!經典書籍阿~

評分

評分

邏輯一下子

評分

數學邏輯書,很有意思的一本書。

評分

數理邏輯又稱符號邏輯、理論邏輯。它既是數學的一個分支,也是邏輯學的一個分支。是用數學方法研究邏輯或形式邏輯的學科。其研究對象是對證明和計算這兩個直觀概念進行符號化以後的形式係統。數理邏輯是數學基礎的一個不可缺少的組成部分。雖然名稱中有邏輯兩字,但並不屬於單純邏輯學範疇。

評分

哈哈哈哈哈哈哈哈哈哈哈

類似圖書 點擊查看全場最低價

數理邏輯(第2版) [Mathematical Logic] pdf epub mobi txt 電子書 下載


分享鏈接


去京東購買 去京東購買
去淘寶購買 去淘寶購買
去噹噹購買 去噹噹購買
去拼多多購買 去拼多多購買


數理邏輯(第2版) [Mathematical Logic] bar code 下載
扫码下載





相關圖書




本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 windowsfront.com All Rights Reserved. 靜流書站 版權所有