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Volume 1

Preface

Alphabetical list of propositions referred to by names

Introduction to the second edition

Introduction

Mathematical Logic / Part I：

The theory of deduction / 1：

Theory of apparent variables / 2：

Classes and relations / 3：

Logic of relations / 4：

Products and sums of classes / 5：

Prolegomena to Cardinal Arithmetic / Part II：

Unit classes and couples / 6：

Sub-classes, sub-relations, and relative types / 7：

One-many, many-one, and one-one relations / 8：

Selections / 9：

Inductive relations / 10：

Appendixes

List of definitions

Prefactory statement of symbolic conventions / Volume II：

Cardinal Arithmetic / Part III：

Definition and logical properties of cardinal numbers / 11：

Addition, multiplication and exponentiation / 12：

Finite and infinite / 13：

Relation-Arithmetic / Part IV：

Ordinal similarity and relation-numbers / 14：

Addition of relations, and the product of two relations / 15：

The principle of first differences, and the multiplication and exponentiation of relations / 16：

Arithmetic of relation-numbers / 17：

Series / Part V：

General theory of series / 18：

On sections, segments, streches, and derivatives / 19：

On convergence, and the limits of functions / 20：

Series (continued) / Volume III：

Well-ordered series / 21：

Finite and infinite series and ordinals / 22：

Compact studies, rational series, and continuous series / 23：

Quantity / Part VI：

Generalization of number / 24：

Vector-families / 25：

Measurement / 26：

Cyclic families / 27：

Volume 1

Preface

Alphabetical list of propositions referred to by names