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9780486446172

The Elements of Mathematical Logic

by
  • ISBN13:

    9780486446172

  • ISBN10:

    0486446174

  • Format: Paperback
  • Copyright: 2005-10-12
  • Publisher: Dover Publications
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List Price: $12.95

Summary

This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.

Table of Contents

Introduction i
The Logic of Classes
Informal introduction. Fundamental theorems
1(7)
Boolean algebra as a deductive science
8(10)
The structure and representation of Boolean algebras
18(10)
The Logic of Propositions
Fundamentals
28(3)
Alternative formulations
31(13)
Deductive systems
44(7)
Many valued logics, modal logics, intuitionism
51(18)
The Logic of Propositional Functions
Informal introduction
69(5)
The functional logic of the first order
74(17)
Some very expressive languages
91(18)
Combinatory logics
109(24)
The development of mathematics within an object language
133(11)
The paradoxes
144(2)
The axiom of choice
146(6)
The General Syntax of Language
Basic concepts. Simple languages
152(5)
Production, canonical languages, extension, and definition
157(13)
Normal languages. Theorems of Post and Godel
170(12)
Appendix 1. Canonical forms of L1, L'2, and Lz 182(7)
Appendix 2. Algebraic approach to language. Church's theorem 189(5)
Bibliographical and Other Remarks 194(15)
Index 209

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