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Index
Title Page
PREFACE TO THE DOVER EDITION
Copyright Page
PREFACE TO THE FIRST EDITION
Table of Contents
EXPLANATION OF CONVENTIONS
Chapter 1 - INTRODUCTION
A. THE NATURE OF MATHEMATICAL LOGIC
B. THE LOGICAL ANTINOMIES
C. THE NATURE OF MATHEMATICS
D. MATHEMATICS AND LOGIC
S. SUPPLEMENTARY TOPICS
Chapter 2 - FORMAL SYSTEMS
A. PRELIMINARIES
B. THEORIES
C. SYSTEMS
D. SPECIAL FORMS OF SYSTEMS
E. ALGORITHMS
S. SUPPLEMENTARY TOPICS
Chapter 3 - EPITHEORY
A. THE NATURE OF EPITHEORY
B. REPLACEMENT AND MONOTONE RELATIONS
C. THE THEORY OF DEFINITION
D. VARIABLES
S. SUPPLEMENTARY TOPICS
Chapter 4 - RELATIONAL LOGICAL ALGEBRA
A. LOGICAL ALGEBRAS IN GENERAL
B. LATTICES
C. SKOLEM LATTICES
D. CLASSICAL SKOLEM LATTICES
S. SUPPLEMENTARY TOPICS
Chapter 5 - THE THEORY OF IMPLICATION
A. GENERAL PRINCIPLES OF ASSERTIONAL LOGICAL ALGEBRA
B. PROPOSITIONAL ALGEBRAS
C. THE SYSTEMS LA AND LC
D. EQUIVALENCE OF THE SYSTEMS
E. L DEDUCIBILITY
S. SUPPLEMENTARY TOPICS
Chapter 6 - NEGATION
A. THE NATURE OF NEGATION
B. L SYSTEMS FOR NEGATION
C. OTHER FORMULATIONS OF NEGATION
D. TECHNIQUE OF CLASSICAL NEGATION
S. SUPPLEMENTARY TOPICS
Chapter 7 - QUANTIFICATION
A. FORMULATION
B. THEORY OF THE L* SYSTEMS
C. OTHER FORMS OF QUANTIFICATION THEORY
D. CLASSICAL EPITHEORY
S. SUPPLEMENTARY TOPICS
Chapter 8 - MODALITY
A. FORMULATION OF NECESSITY
B. THE L THEORY OF NECESSITY
C. THE T AND H FORMULATIONS OF NECESSITY
BIBLIOGRAPHY
INDEX
LIST OF ADDITIONAL SYMBOLS
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