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 |